57
Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions Structural optimization of automotive chassis: theory, set up, design M. Cavazzuti L. Splendi L. D’Agostino E. Torricelli D. Costi A. Baldini MilleChili Lab, Universit` a di Modena e Reggio Emilia, Modena, Italy PICOF 2012 6 th International Conference Probl` emes Inverses, Contrˆole et Optimisation de Formes Ecole Polytechnique, Palaiseau, France, April 2 nd -4 th Structural optimization of automotive chassis MilleChili Lab PICOF’12 M. Cavazzuti, L. Splendi et al.

Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Embed Size (px)

Citation preview

Page 1: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Structural optimization of automotive chassis:theory, set up, design

M. Cavazzuti L. Splendi L. D’Agostino E. Torricelli D. Costi A. Baldini

MilleChili Lab, Universita di Modena e Reggio Emilia, Modena, Italy

PICOF 2012

6th International Conference

Problemes Inverses, Controle et Optimisation de Formes

Ecole Polytechnique, Palaiseau, France, April 2nd-4th

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 2: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 3: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 4: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

MilleChili Lab and aim of the research

MilleChili Lab

MilleChili Lab was born in february2009 from a collaboration betweenFerrari SpA and the Universita degliStudi di Modena e Reggio Emilia

Objectives of the laboratory

Design a novel automotive chassis in view of weight reduction and infulfilment of given structural performance constraints according to Ferraristandards

Offer a consulting service supporting Ferrari designers in the field ofstructural optimization of automotive components

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 5: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

MilleChili Lab rationale and main tools

A different approach to design

company know-how anddesigner experience

systematic design by meansof optimization techniques

Structural optimization techniques

Topology

Topometry

Topography

Size

Shape

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 6: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 7: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 8: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 9: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 10: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 11: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 12: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

What is structural optimization?

Optimization

minimize~x∈D

f (~x)

subject to ~c (~x) ≥ ~0

variables~x

experimentor simulation

objectivey = f (~x)

constraints~c (~x) ≥ ~0

optimizationalgorithm

Structural optimizationvariables (design space) FE domain (1 variable per element)experiment or simulation finite elements analysisobjective mass minimizationconstraints stiffness, displacements, modal, . . .optimization algorithm gradient based (CONLIN or MMA)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 13: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables in structural optimization

optimization method variable applicability

topology element density solid &

(material distribution) shell elements

shell elements

(deformations superposition)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 14: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables in structural optimization

optimization method variable applicability

topology element density solid &

(material distribution) shell elements

topometry element thickness shell elements

(thickness distribution)

(deformations superposition)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 15: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables in structural optimization

optimization method variable applicability

topology element density solid &

(material distribution) shell elements

topometry element thickness shell elements

(thickness distribution)

topography element offset shell elements

(bead patterns)

(deformations superposition)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 16: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables in structural optimization

optimization method variable applicability

topology element density solid &

(material distribution) shell elements

topometry element thickness shell elements

(thickness distribution)

topography element offset shell elements

(bead patterns)

size component thickness shell elements

(thickness distribution)

(deformations superposition)

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 17: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables in structural optimization

optimization method variable applicability

topology element density solid &

(material distribution) shell elements

topometry element thickness shell elements

(thickness distribution)

topography element offset shell elements

(bead patterns)

size component thickness shell elements

(thickness distribution)

shape morphing weight factors solid &

(deformations superposition) shell elements

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 18: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

A quick introduction to topology optimization

Basic equations: SIMP method for topology optimization

xi ∈ (0, 1] ∀i

ρi (xi) = xiρ∗

Ei (xi) = xpiE∗

=⇒

ρi (xi)

Ei (xi)= x1−p

i

ρ∗

E∗

∂Ei (xi)

∂xi= pxp−1E∗

Main control parameters in topology optimization

penalty factor p

sensitivity filter r

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 19: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

An example: topology optimization of a bridge

pr

1.0 1.5 2.0 2.5

1.0

1.2

1.5

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 20: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

An example: topology optimization of a bridge

pr

1.0 1.5 2.0 2.5

1.0

1.2

1.5

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 21: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

An example: topology optimization of a bridge

pr

1.0 1.5 2.0 2.5

1.0

1.2

1.5

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 22: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

An example: topology optimization of a bridge

pr

1.0 1.5 2.0 2.5

1.0

1.2

1.5

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 23: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

An example: topology optimization of a bridge

pr

1.0 1.5 2.0 2.5

1.0

1.2

1.5

images obtained with the code by Sigmund, available from http://www.topopt.dtu.dk/files/top.m

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 24: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 25: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Application examples

In the following slides a few application examples of structural optimizationsrelated to the automotive chassis weight reduction will be given, in detail:

Examples and optimizations performed

Automotive hoodtopology

xtopometryxsize

Rear benchtopography + size

Automotive chassistopology

xtopometryxsize

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 26: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Application examples

In the following slides a few application examples of structural optimizationsrelated to the automotive chassis weight reduction will be given, in detail:

Examples and optimizations performed

Automotive hoodtopology

xtopometryxsize

Rear benchtopography + size

Automotive chassistopology

xtopometryxsize

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 27: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Application examples

In the following slides a few application examples of structural optimizationsrelated to the automotive chassis weight reduction will be given, in detail:

Examples and optimizations performed

Automotive hoodtopology

xtopometryxsize

Rear benchtopography + size

Automotive chassistopology

xtopometryxsize

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 28: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 29: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Numerical model, constraints and target

the reference model is Ferrari F458 Italia

the objective of the optimization is the hood weight reduction

the goal has to be reached by modifying the inner panel and itsreinforcements with no performance loss compared to the reference model

the inner panel is connected to the external skin with structural glue

the outer shape, the hinges and the latch are non modifiable

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 30: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Numerical model, constraints and target

the reference model is Ferrari F458 Italia

the objective of the optimization is the hood weight reduction

the goal has to be reached by modifying the inner panel and itsreinforcements with no performance loss compared to the reference model

the inner panel is connected to the external skin with structural glue

the outer shape, the hinges and the latch are non modifiable

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 31: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Loadsteps

Six different loadsteps have beeen consid-ered in the FE analyses, one for each hoodstiffness target

bending global stiffness

torsional global stifness

flaps bending stiffness

hinges attachment stiffness

latch attachment stiffness

stabilus attachment stiffness

FE tests replicate experimental setups

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 32: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Loadsteps

Six different loadsteps have beeen consid-ered in the FE analyses, one for each hoodstiffness target

bending global stiffness

torsional global stifness

flaps bending stiffness

hinges attachment stiffness

latch attachment stiffness

stabilus attachment stiffness

FE tests replicate experimental setups

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 33: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Loadsteps

Six different loadsteps have beeen consid-ered in the FE analyses, one for each hoodstiffness target

bending global stiffness

torsional global stifness

flaps bending stiffness

hinges attachment stiffness

latch attachment stiffness

stabilus attachment stiffness

FE tests replicate experimental setups

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 34: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization process

Topologyoptimization

Topometryoptimization

Sizeoptimization

the mass distribution proposed by topology optimization is very differentfrom the reference substructure

topometry optimization locate critical areas needing reinforcements

size optimization is used for sizing reinforcements granting structuralstiffness and weight reduction

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 35: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization process

Topologyoptimization

Topometryoptimization

Sizeoptimization

the mass distribution proposed by topology optimization is very differentfrom the reference substructure

topometry optimization locate critical areas needing reinforcements

size optimization is used for sizing reinforcements granting structuralstiffness and weight reduction

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 36: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization process

Topologyoptimization

Topometryoptimization

Sizeoptimization

the mass distribution proposed by topology optimization is very differentfrom the reference substructure

topometry optimization locate critical areas needing reinforcements

size optimization is used for sizing reinforcements granting structuralstiffness and weight reduction

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 37: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Results

global torsional stiffness − 0.2%

global bending stiffness + 2.4%

flaps bending stiffness + 1.2%

hinges attachment stiffness + 1.2%

latch attachment stiffness + 5.5%

stabilus attachment stiffness +10.9%

hood weight −12.4%

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 38: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 39: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Numerical model

the rear bench is made of a thin plate of aluminum

its vibration characteristics are fundamental forpassengers comfort

for this reason the plate is covered with patches ofdamping material

the FE property used in this application allows adouble material layer to be defined in order toaccount for the bonding between aluminum anddamping material

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 40: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Targets and optimization process

targets

first normal mode

frequency

FRFs peaks

(related to noise)

the process adopted includes concurrent plate beads pattern and dampingmaterial distribution optimizations

Sizeoptimization

Topographyoptimization

damping material thickness 0÷ 3.2 mm beads distribution on the plate

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 41: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Targets and optimization process

targets

first normal mode

frequency

FRFs peaks

(related to noise)

the process adopted includes concurrent plate beads pattern and dampingmaterial distribution optimizations

Sizeoptimization

Topographyoptimization

damping material thickness 0÷ 3.2 mm beads distribution on the plate

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 42: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables and results

For size optimization a single variable/component isadopted for the aluminum plate thickness, while severalvariables/components are considered for the dampingmaterial

In comparison to the reference model several optimization runs brought toweight reductions in the range 6 to 10%

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 43: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Variables and results

For size optimization a single variable/component isadopted for the aluminum plate thickness, while severalvariables/components are considered for the dampingmaterial

In comparison to the reference model several optimization runs brought toweight reductions in the range 6 to 10%

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 44: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 45: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Topology domains

wheelbase and track

suspensions, seats,engine, and gearboxjoints position

suspensions layout

passengercompartment, engine,and gearbox size andlocation

chassis material(aluminum)

Reference model

Coupe topology domain

Spider topology domain

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 46: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Topology domains

wheelbase and track

suspensions, seats,engine, and gearboxjoints position

suspensions layout

passengercompartment, engine,and gearbox size andlocation

chassis material(aluminum)

Reference model

Coupe topology domain

Spider topology domain

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 47: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization constraints

1 global bending and torsional stiffness of the structuresills displacementwheel centre displacement

2 head-on crash linearizationseat, engine, A-pillar, pedal, flame shield, dashboard displacementscompliance

3 modal response of the structurefirst natural mode

4 local stiffness of the suspensions, engine, and gearbox jointswheel centres displacementsengine and gearbox displacements

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 48: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization constraints

1 global bending and torsional stiffness of the structuresills displacementwheel centre displacement

2 head-on crash linearizationseat, engine, A-pillar, pedal, flame shield, dashboard displacementscompliance

3 modal response of the structurefirst natural mode

4 local stiffness of the suspensions, engine, and gearbox jointswheel centres displacementsengine and gearbox displacements

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 49: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization constraints

1 global bending and torsional stiffness of the structuresills displacementwheel centre displacement

2 head-on crash linearizationseat, engine, A-pillar, pedal, flame shield, dashboard displacementscompliance

3 modal response of the structurefirst natural mode

4 local stiffness of the suspensions, engine, and gearbox jointswheel centres displacementsengine and gearbox displacements

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 50: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization constraints

1 global bending and torsional stiffness of the structuresills displacementwheel centre displacement

2 head-on crash linearizationseat, engine, A-pillar, pedal, flame shield, dashboard displacementscompliance

3 modal response of the structurefirst natural mode

4 local stiffness of the suspensions, engine, and gearbox jointswheel centres displacementsengine and gearbox displacements

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 51: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization process

the chassis is required to be symmetric in the spanwise direction

increasing complexity optimizations adding the constraints one at a time

Topologyoptimization

Topometryoptimization

Sizeoptimization

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 52: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Optimization process

the chassis is required to be symmetric in the spanwise direction

increasing complexity optimizations adding the constraints one at a time

Topologyoptimization

Topometryoptimization

Sizeoptimization

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 53: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Results

Coupe chassis Spider chassisleft view

top view

roof isometric view

left view

top view

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 54: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Results

Coupe chassis Spider chassisleft view

top view

roof isometric view

left view

top view

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 55: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Outline

1 Introduction

2 Structural optimization

3 Application examples

4 Automotive hood

5 Rear bench

6 Automotive chassis

7 Conclusions

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 56: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Conclusions

Structural optimization methods were introduced and application examplesdiscussed showing their potential

Optimization allows addressing the design process in a more automaticand unitary way

Structural optimization could provide large benefits to industries byboosting their structural design capabilities

Its application requires some knowledge and care, particularly in the choiceof the domain and the optimization constraints

Different optimization methods have different features: a combinedapproach adopting different techniques is recommended for a betterexploitation of these features

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.

Page 57: Structural optimization of automotive chassis: theory, … · Structural optimization of automotive chassis: ... Design a novel automotive chassis in view ... Structural optimization

Introduction Structural optimization Application examples Automotive hood Rear bench Automotive chassis Conclusions

Thank you for your attention!

MilleChili Lab

[email protected]

Structural optimization of automotive chassis MilleChili Lab — PICOF’12 M. Cavazzuti, L. Splendi et al.