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On the Balance and Integration of Simulation and Test in Engineering
Structural Dynamics
by David Ewins
Imperial College London & University of Bristol
NAFEMSvQ – June 2017
1. A Historical Introduction
2. A Strategy for Today’s Challenges in Structural Dynamics
3. Challenges from Practical Case Studies
4. The Future
Further details can be found in: “Exciting vibrations: the role of testing in an era of supercomputers and uncertainties” by D J Ewins (2016) Meccanica (2016) 51:3241-3258 DOI 10.1007/s11012-016-0576-y
1. A Historical Introduction
2. A Strategy for Today’s Challenges in Structural Dynamics
3. Challenges from Practical Case Studies
4. The Future
NAFEMS – June 2017
Cranfield 7-9 July 1993
A TOPIC FAMILIAR TO NAFEMS 2 DECADES AGO
Windemere 3-5 July 1996
A BRIEF HISTORY OF THE NAFEMS DYNAMICS & TESTING WORKING GROUP (DTWG)
1978 Founding of informal Modal Testing Users Group at Imperial College
1990 Founding of Dynamic Testing Agency (DTA)
1993 1st Joint NAFEMS/DTA Conference on Modelling, Testing, Correlation
1996 2nd Joint NAFEMS/DTA Conference on Modelling, Testing, Correlation
1999 3rd Joint NAFEMS/DTA Conference on Modelling, Testing, Correlation
1999 DTA completes Mission; seeks ‘home’
2004 Dormant DTA resuscitated; contact with NAFEMS re-established
2005 1st NAFEMS Seminar ‘Simulation vs Test’
2006 Formation of DTWG proposed; Joint participation in 2nd ‘S vs T’
2007 DTWG 1st Workshop on Integration of Test and Analysis
2017 DTWG 10 years old!
1. A Historical Introduction
2. A Strategy for Today’s Challenges in Structural Dynamics
3. Challenges from Practical Case Studies
4. The Future
7
THE SUBJECT MATTER
STRUCTURAL DYNAMICS OF CRITICAL STRUCTUERS Structural dynamics plays a critical role in the performance of a
family of structures (and vehicles and machines) for which structural integrity is the primary concern. These are referred to as critical structures and predominate in aerospace, defence and high-performance machinery industries.
THE INTERACTIONS BETWEEN SIMULATION AND TESTS The case which will be argued here is that in these critical
applications, dynamic testing activities are just as essential as analysis or simulation – and perhaps even more essential – notwithstanding the huge advances made in numerical and computational capabilities.
8
THE STRUCTURES
Picture courtesy of Federation of American Scientists.
Picture courtesy of Rolls-Royce plc
9
THE SIGNIFICANCE OF STRUCTURAL DYNAMICS
In general, vibration in structures leads to one of three types of problem which must be anticipated at the design stage and eliminated or controlled in the final product to an acceptable (prescribed) degree to assure its performance
A Structural Failure – short term, or long term B Malfunction - of accessories, on-board equipment C Disturbance – discomfort, noise Category A, and to some extent Category B, issues are
concerned with Structural Integrity where the cost of failure to meet design targets can be very severe.
10
A NEW PERSPECTIVE: STRUCTURAL PERFORMANCE
All these effects can have a major influence on the overall performance and commercial viability of the products involved.
Not only can they impair the functional performance of the machine or vehicle (e.g. by loss of efficiency) but they also can limit its life.
Thus it is appropriate to consider performance in two parts:
1. Functional Performance (sfc, thrust, power..) and 2. Structural Performance (life, reliability, wear ….)
NDE SHM
MATERIALS STRUCTURAL DYNAMICS
STRUCTURAL INTEGRITY
STRUCTURAL PERFORMANCE
FATIGUE
DEGRADATION
WEAR
FOD
TARGET: LIFE PREDICTION & VERIFICATION
DYNAMIC PROPERTIES
SECONDARY DAMAGE
THE ROOT CAUSE OF MOST LIFE REDUCTION AND UNRELIABILITY
© D J EWINS 2015
THE PRIMARY TASKS: DESIGN & DEMONSTRATION
So, the LIFE PREDICTION AND VERIFICATION target is, in effect, for the structural dynamicist: DESIGN and DEMONSTRATION
1. To enable the DESIGN of structures to have a reliably- predictable, cost-effective structural performance; 2. To DEMONSTRATE attainment of these performance properties to customers and authorities.
The first of these requires a mathematical model and so is ANALYSIS driven, while the second requires test rig and so is is TEST driven
MATH MODEL
TEST RIG
13
SO, WHAT’S THE PROBLEM? USE SIMULATION TO DESIGN AND TEST TO DEMONSTRATE
But bear in mind, as quoted by Dr McNeal of MSC (NASTRAN) at the NAFEMS/DTA conference on integration of Analysis and Test in 1993:
“No-one believes computer predictions except the person who has done the analysis, while ….
Everyone believes the results from a test, except the person who has made the measurements”
© 2015 Rolls-Royce plc
EXAMPLES OF DESIGN AND DEMONSTRATION
15
Basically, the problem is that we don’t get things right first time. Sometimes it takes several iterations. A major underlying reason for this is the uncertainties that apply to our analysis and test activities, because of the simplifications, assumptions, approximations made. It is important to recognise the 2 different types of Uncertainty: ALEATORIC UNCERTAINTY which relates to inaccuracy, or not being sure of the precise values for parameters of interest, and EPISTEMIC UNCERTAINTY which relates to inadequacy, or not being sure whether sufficient parameters have been included These two types require quite different approaches to resolve.
THE PROBLEM: UNCERTAINTIES
16
Essentially, the best way to proceed is to use both Analysis and Test in each phase of the overall activity. • Use Tests to ensure that the models being developed
for the Design Analysis are good enough, and • Use Analysis to devise and interpret the most
appropriate Tests to Demonstrate the full performance.
In both cases, the inter-related Analysis and Test processes serve to reduce the uncertainties to an acceptable level.
SOLUTION TO MANAGING UNCERTAINTIES: CAREFUL INTEGRATION OF TEST AND ANALYSIS
VALIDATION
VERIFICATION
KEY THEME 1
KEY THEME 2
1. A Historical Introduction
2. A Strategy for Today’s Challenges in Structural Dynamics
3. Challenges from Practical Case Studies
4. The Future
18
FOCUS ON TESTING FOR VALIDATION OF THE MODELS REQUIRED FOR DESIGN
Model Validation: The primary procedure which integrates Analysis & Test in Structural Dynamics in order to reduce uncertainties to an acceptable level so that the model is good enough
_ Test Strategy
Test Planning
Modal Test
Reference Data
Correlation Updating
PRELIMINARY MODEL
VALIDATED MODEL
Verification
Upgrading
Model Validation using Test Data
© D J EWINS 2015
The 1st Challenge : Joints
21
22
Courtesy: University of Kassel Courtesy: University of Kassel Courtesy: University of Kassel
MODELLING APPROACH FOR BOLTED FLANGE JOINTS
Area representedby the frictioncontact element
The referencepoint,A, used fordeterminingcontact stresses
a)
b)
N ( )x
23
-6 -4 -2 0 2 4 6 8 x 10 -6
RELATIVE DISPLACEMENT (mm)
-8 -25
-20
-15
-10
-5
0
5
10
15
20
25
FRICTION FORCE
(N)
A set of hysteresis loops, measured at different applied normal loads.
50 N
40 N
30 N
20 N
10 N
Normal Load
...AND THE ROLE OF TESTING?
24
THE CHALLENGE OF MODELLING JOINTS In many complex structures, the joints are a major source of uncertainty. Experimental evidence suggests that often a low-order model is capable of providing adequate representation of the structural dynamics, BUT…. ….such a model is extremely difficult to predict…. …..AND it is generally nonlinear…… An international activity is under way to advance joints modelling technology: ASME Research Committee: The Mechanics of Jointed Structures.
Further details can be found at: http://joints.rice.edu
The 2nd Challenge : Nonlinearity
27
EFFECT OF NONLINEAR JOINT DYNAMICS ON ENGINE STRUCTURES
1N 10N 20N
30N 40N
50N 70N
28
IMC-CCOC interface
INCORPORATING NONLINEAR JOINT BEHAVIOUR INTO FE MODELS
rigid connections with hinge
shell elements
bolt centre line
combination of linear and non-linear
springs and dampers
Z
R
F
F
offset beam elements
rotation about tangential axis
d
Modelling Approach for Bolted Flange Joints Courtesy: University of Kassel
29
NONLINEARITIES PRESENT AN EPISTEMIC UNCERTAINTY THAT CALLS FOR MODEL UPGRADING
Dealing with nonlinearities in Model Validation introduces both types of Uncertainty. In particular, the need for elements to have additional coefficients to describe nonlinear characteristics requires model upgrading before updating is possible The first task – MODEL UPGRADING - addresses the question of the model being COMPLETE ENOUGH for its intended use. The second task – MODEL UPDATING - addresses the question as to whether it is ACCURATE ENOUGH. Further details can be found in: “Modal testing for model validation of structures with discrete nonlinearities” by D J Ewins, B Weekes & A Delli Carri (2015) Phil.Trans.R.Soc.A373:20140410. http://dx.doi.org/10.1098/rsta.2014.0410
30
© D J Ewins 2015
MODEL WING-PYLON RIG
31
Pylon Driving Point
© D J Ewins 2015
UPGRADED AND UPDATED MODEL – RESPONSE OF FIRST MODE
Further details can be found in: “ Extending modal testing for model validation of engineering structures with sparse nonlinearities: A first case study” by A Delli Carri, B Weekes & D J Ewins Mechanical Systems and Signal Processing (2016): http://dx.doi.org/10.1016/j.ymssp.2016.04.012
32
FOCUS ON TESTING FOR PRODUCT VERIFICATION
Verification Testing is …….. the experimental demonstration – to Customers and the Authorities - that a product meets its design specification under test conditions that closely match those in service. Verification tests are PASS/FAIL tests
The 3rd Challenge:
Representative Extreme Event Tests
8 (34)
© 2014 Rolls-Royce plc
35 © 2014 Rolls-Royce plc
Further details can be found in: “Non-linear dynamics of a simplified model of an overhung rotor subjected to intermittent annular rubs” by A Zilli, R J Williams & D J Ewins (2015) ASME J Eng Gas Turbines Power 137(6):065001
APPENDIX 6 SLIDES NOT PRESENTED IN LECTURE
The 4th Challenge: Representative Endurance Tests
ENDURANCE QUALIFICATION TESTING
37
QUALIFICATION TESTS TO DEMONSTRATE SURVIVABILITY IN SERVICE ENVIRONMENT
Picture courtesy of Federation of American Scientists.
© British Crown Owned Copyright 2015/AWE
38
TYPE 1: TRADITIONAL TESTS: REPLICATE ATTACHMENT VIBRATION LEVELS
TWO APPROACHES TO TESTING - 1
© British Crown Owned Copyright 2015/AWE
Control Locations
Response Locations (Uncontrolled)
In-axis Overtest
In-axis Undertest Cross-axis Overtest
© British Crown Owned Copyright 2015/AWE
TYPE 1: TRADITIONAL TESTS
40
TYPE 2: NEW ‘SMART’ TESTS: REPLICATE ATTACHMENT VIBRATION LEVELS AND SIMULATE STRUCTURAL INTERACTIONS
© British Crown Owned Copyright 2015/AWE
TWO APPROACHES TO TESTING - 2
Further details can be found in: “Next-Generation Random Vibration Tests” by P M Daborn, C Roberts, D J Ewins & P R Ind 2014 Proceedings IMAC XXXII, Conference Proc SEM DOI 10.1007/978-3-319-04774-4_37
© British Crown Owned Copyright 2015/AWE
TYPE 2: NEW ‘SMART’ TESTS
Response Locations (Uncontrolled)
1. A Historical Introduction
2. A Strategy for Today’s Challenges in Structural Dynamics
3. Challenges from Practical Case Studies
4. The Future
FURTHER DEVELOPMENTS
We have focussed here on the first and second of these 4 phases – DESIGN & DEMONSTRATION but there are 2 more phases to be managed later in the product’s life – MANUFACTURE & MAINTAINENANCE
These later phases will have their own uncertainties to be managed: First, in MANUFACTURE, there will be significant new aleatoric uncertainties in the form of the scatter which results from manufacturing tolerances. Second, there will epistemic uncertainties introduced in service by predictable wear or damage to individual components; these will need to be identified during MAINTENANCE and used for diagnosis and prognosis of health monitoring.
44
Structural Dynamics can be set in a positive context using the concept of STRUCTURAL PERFORMANCE with the expectation that safe working life can be reliably predicted in design In modern Structural Dynamics, TESTING activities are equally important as ANALYSIS – if not more. They are often the same order of cost. Both approaches are subject to a range of uncertainties – both aleatoric and epistemic – and the use of the other ‘branch’ to manage these uncertainties through systematic VALIDATION AND VERIFICATION procedures is the best way forward. Achieving the correct BALANCE AND INTEGRATION of Test and Analysis is vital for the economic viability of these structures
SUMMING UP: STRATEGIC CONCLUSIONS
My thanks go to … a generation of students, research students, associates and colleagues around the world whose contributions and collaborations have provided most of the material presented in this talk… …and to the industrial sponsors who have provided both the application needs and the funding for most of these activities.
ACKNOWLEDGEMENTS