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HBM Prenscia: Public
© 2016 HBM
Fatigue Analysis of Powertrain ComponentsIncluding Gray Cast Iron
Kurt MunsonHBM Prenscia
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
2
1. Durability challenges in powertrain components2. Methods of analyzing powertrain component durability
Vibration fatigueSafety factor analysisStress gradient approach for castingsTemperature’s effect on fatigueSpecialized methods for gray cast iron
3. Summary
Agenda
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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• Powertrain engineering covers a wide range of components that require differing methods for durability assessment.
Powertrain Durability Challenges
Images copyright Beaudaniels.com
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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• Powertrain engineering covers a wide range of components that require differing methods for durability assessment.
Designing Around Endurance Limit
Images copyright Beaudaniels.com
Pistons, crankshafts, valve springs, etc. may be assessed using a safety factor analysis.
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
5Safety Factors in Design: Simple to Complex
UTS‐basedsafety factorUTS‐basedsafety factorUTS‐basedsafety factor
Fatigue limit safetyfactor
Fatigue limit safetyfactor
Fatigue limit safetyfactor
Cumulative damage
Cumulative damage
Cumulative damage
Fatigue limitwith mean stresssafety factor
Fatigue limitwith mean stresssafety factor
Fatigue limitwith mean stresssafety factor
Stress‐Life, Strain‐Life, etc.
13
• Many parts are designed according to a safety factor.• What is the ratio of strength to stress?• The safety factor can be calculated many ways:
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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• Powertrain engineering covers a wide range of components that require differing methods for durability assessment.
Designing Around Vibration
Images copyright Beaudaniels.com
Electronics and other under‐hood mounted components are signed off with vibration tests.
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
7Vibration Fatigue from Harmonic Stresses
• The response PSD: . | | • Derive the statistical cycle distribution based on work by S. O. Rice
SNAnalysis Fatigue ResultsFRF
H1
PSDL1
Response PSD and Statistical Cycle Distribution
SN Curve
[σA] = [H1]².L1
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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Frequency (Hz)
PSDL2
Vibration Fatigue from Harmonic Stresses
SNAnalysis Fatigue Results
PSDL1
Response PSD and Statistical Cycle Distribution
SN Curve
[σA] = [H1]².L1 + [H2]².L2 + [H1]*.[H2].L12 + [H1].[H2]*.L21
Gain Phase
Frequency (Hz)
CSDL12
Frequency (Hz)
FRFH2
FRFH1
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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• Powertrain engineering covers a wide range of components that require differing methods for durability assessment.
Designing Around Heat
Images copyright Beaudaniels.com
Turbochargers and exhaust systems require thermo‐mechanical fatigue analysis.
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
10Which Temperature Dependent Fatigue Method is Best?
Is stress caused by
temperature
YesNo
Isothermal fatigue
Start
Chaboche Transient & Creep RuptureChaboche Transient
10
Is T > 50% of Tmelt (K)?
YesNo
2016 nCode User Group Meeting
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• Powertrain engineering covers a wide range of components that require differing methods for durability assessment.
Designing with Castings
Images copyright Beaudaniels.com
Engine block and other castings require specialized material modelling and fatigue algorithms
2016 nCode User Group Meeting
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FKM Guideline “Analytical Strength Assessment of Components in Mechanical Engineering” 5th edition, 2003, English version, Tr. E. Haibach published by VDMA, Frankfurt. ISBN 3-8163-0425-7
z
dzd
n = Kt/Kf
Notch Sensitivity and Fatigue of Cast Materials
2016 nCode User Group Meeting
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• Cast iron with graphite flakes for improved manufacturability and damping• Often used in engine blocks, pump housings, and disk brake rotors• Graphite flakes are weak and act as voids when loaded• Leads to higher strength and stiffness in compression than tension
Gray Iron
By Hb tuw ‐ Own work, CC BY‐SA 4.0, https://commons.wikimedia.org/w/index.php?curid=45350398
2016 nCode User Group Meeting
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• Hysteresis loop is no longer symmetric• Shape changes in loading vs. unloading, and tension vs. compression• Strain life methodology used with modified plasticity model and Smith Watson
Topper damage parameter• Available in nCode 12.1
Fatigue of Gray Iron
2016 nCode User Group Meeting
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• 9 gray irons are included in the standard nCode material database
Gray Iron Materials Data in nCode
2016 nCode User Group Meeting
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HBM Prenscia: Public
© 2016 HBM
16Software Demonstration
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
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Methods of analyzing powertrain component durability• Vibration fatigue• Safety factor analysis• Stress gradient approach for castings• Temperature’s effect on fatigue• Specialized methods for gray cast iron – new in nCode 12.1
Summary
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com
HBM Prenscia: Public
© 2016 HBM
www.hbmprenscia.com
Kurt Munson
Principal consulting engineer
Thank you!
2016 nCode User Group Meeting
© 2016 HBM October 5-6, 2016 www.ncode.com