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MESH MORPHING BASED SHAPE
OPTIMIZATION OF A CLUTCH LEVER

  Abaqus Global User Conference, 2004

              Presented by:
Ramesh Padmanaban, Ragavendran Vasudevan,
                 , g                    ,
             Radha Krishnan
      Detroit Engineered Products, Inc.


    Yogesh Wadhera – New Venture Gear
        Mike Sheh – Engineous Inc.
Recent Trends in the CAE Industry
Significant improvements in computing hardware:
   High speed processors
   Networked/distributed computing etc.

Significant improvements in Solvers:
   Reduction in analysis execution time
   Parallel processing

Availabililty of process integration & automation tools:
   Ability to automate a routine CAE p
         y                           process
   Creation of automated workflows
Recent Trends in the CAE Industry

Availability of general purpose optimization programs:
  Conduct i l
  C d t single and multi-discipline optimization studies that
                    d     lti di i li   ti i ti     t di th t
  utilize the automated workflows
  Create higher level ‘quick turn-around’ response surface
  models

Availability of Morphing & Parametrization Tools:
  Ability to remove a key bottle neck in the optimization
  process, i.e, CAD dependency
  Rapid FE & CFD model generation – in a fraction of time
  taken by conventional methods
         b on entional
Role of Design Exploration & Optimization

With these trends, the CAE engineer is best
positioned for:
  Conducting DOE studies
  Conduct Optimization studies
  Perform design exploration
  Perform DFSS (Design for Six Sigma) studies
Clear move from ‘single point design study to design
                 single              study’
exploration
Good positioning of the CAE engineers to truly lead
      p        g               g             y
the design process
CAE TO LEAD THE DESIGN PROCESS

                    HARDWARE              SOLVER SPEED
                    IMPROVEMENTS          IMPROVEMENTS
CAE not just a
validation tool
Instead,
Instead CAE will   PROCESS
lead the design    AUTOMATION &               MORPHING &
                   OPTIMIZATION               PARAMETRIZATION
process
                   TOOLS                      TOOLS


                                  OPTIMIZED
                                  DESIGN
Different Shape Optimization Approaches
 Explicit definition of nodal movement as design
 variables:
   Rather cumbersome to set up
   Limited to small shape changes
 Shape optimization with CAD in the loop:
                                OPTIMIZER

                                       New values of
                                       design parameters

         ANALYSIS SOLVER      PARAMETRIC CAD
                              SYSTEM
    NO      Is it OPTIMUM ?            Regenerated CAD
                                       model (new design)

                     YES      FE PRE-PROCESSOR
                                 PRE PROCESSOR
                              (Auto-meshing)
                STOP
                                       FE model of the new
                                       design
Different Shape Optimization Approaches
   Remeshing from CAD data not fully automatable
   If FE model is an assembly comprising of different
   components and different types of elements remeshing
                                     elements,
   almost impossible
   May be limited to only shape parameters
 Mesh Morphing based shape optimization process
                    OPTIMIZER
                                 New values of d i
                                 N     l     f design
                                 parameters
                 MORPHER (FE/CFD
                 Parametrization tool)
                                 Analysis ready FE model of
                                 new design

                 ANALYSIS SOLVER

            NO        Is it OPTIMUM ?


                                 YES

                          STOP
Different Shape Optimization Approaches
   In this process CAD model generation is completely
   eliminated from the optimization process
   Models generated by the Morpher are analysis ready
   Process inherently robust
   Large shape changes are possible
Important stages in the Morpher based shape
optimization process

   Parametrization of the FE (or CFD) model
   Analysis Process Automation
   Optimization
Parametrization: High Level Description

Linear Static Analysis
Model

Non-linear
Static Model
                         MESHWORKS/MORPHER       Parametrized
                                V3.0             Model Data
Noise &                                          Base
                             Morphing and
Vibrations model
Vib ti       d l
                          Parametrization Tool

Crash Model


CFD Model
Types of Design Parameters
SHAPE                   FEATURE               STRUCTURAL         GENERAL
PARAMETERS              PARAMETERS            PARAMETERS         PARAMETERS
Cross-section of A-     Automated stiffener   Thickness of       Air bag firing time
pillar                  (bead) creation       shell structures
(stiffness/frequency)                                            Friction coefficient
                        Number of stiffener   Cross-sectional
Vent Opening width of                                            Column stroke
                        beads and their       properties of
Passenger Air Bag       spacing               beam members       Stiffness curve
(occupant safety)
                        Automated             Etc.               Etc.
Front hood angle        punching of holes
(external               and slots
aerodynamics)
                        Etc.
Rail width & height
(crashworthiness)
Tether length &
connection location
Etc.
Parametrizing FE/CFD models

Parametrization of the FE/CFD Model
                         /
  Use Morpher to parametrize existing FE/CFD models
  Introduce shape, structural, feature and general parameters
  FE/CFD models become INTELLIGENT PARAMETRIC FE/CFD
  models
Creating a Design

       Design A                  Design B




Design            Design             Design
parameter A       parameter B        parameter C




 Morph Set A       Morph Set B          Morph Set C



                     Control Zone
                     Deformation Zone
                     Fixed Zone
Concept of Parametric FE model (contd.)



                                             DP3

DP1   –   Length design variable
          L   th d i        i bl
DP2   –   Height design variable
DP3   –   Width design variable                                    DP2
DP4   –   Radius design variable


                                       DP4

                                                      DP1


                            DP1    –   3.5
                            DP2    –   4.0
                                       40                                    Design 1
                                                                                 g
                            DP3    –   1.2
                            DP4    –   2.0

                                                   Parametrized FE model
                            DP1    –   4.0
                            DP2    –   5.0
                            DP3    –   2.0                                   Design 2
                            DP4    –   2.5
Optimization loop


                                                                Design 1
DP1




                                                                Design 2


DP2


                                                                Design 3
                                                                    g
                                          P met i ed FE model
                                          Parametrized



DP3




DP4                                                             Design n
                                                                OPTIMUM

      Loop 1   Loop 2   Loop 3   Loop n
Analysis Process Automation

   Use an analysis process automation tool such as Isight to
   automate typical analysis process steps executed by the CAE
   engineer
   These steps would typically include:
      Submission f h
      S b i i of the model for analysis to Abaqus
                              d lf     l i    Ab
      From the results generated, extract the specific output
      parameters such as maximum deflection, maximum stress,
      contact pressure etc
                        etc.
      Compute sensitivities of output parameters with respect to
      design variables
      Based on sensitivities, generate new values for design variables
                sensitivities
      Execute Morpher to generate analysis model of new design
      Proceed with the next loop
   Analysis           t ti i
   A l i process automation is essential for automated
                                    ti l f     t   t d
   optimization process
Optimization Methodology




                 Optimization
                  p

                          FEA Run time
                          Resource & Project calendar time
                          Number of Design Parameters
                          Design Space – Linear & Non-linear




A t   t d
Automated                                          Model
                                  Response Surface M d l
                                  R        S f
Analysis Process Automation & Optimization set up



                                             Meshworks/Morpher
                         Parametrization &
                         shape change
                         engine
                           g
                                                  Analysis ready FE/CFD
     iSIGHT (Design                               model with new shape
     parameter values
     generation)
                                         Abaqus analysis
                                            q       y
                                                             FE / CFD
                                                             Analysis
                                                  iSIGHT
                        NO                        output
                                                   Parsing

                 Conve
                   r-                    Results extraction
                 gence

                        YES
                 optimum
Optimization Loop (iSIGHT)




                Batch Morpher Shape change


                 Abaqus Translation


                 Remote execution of Abaqus


                 iSIGHT waiting for Abaqus results


                 Results extraction


                 Remote deletion of old files
iSIGHT integration with Morpher – Design Parameter file




iSIGHT modifies the values of each design parameter in DP file. A sample
 file is shown above. The logical way of automatically modifying the design
 parameter is using an optimization algorithm.
Results Extraction




iSIGHT extracts the results from the text output file ( from analysis ). A sample file is shown above
Presentation of actual case study – optimization
of clutch lever

  Objective function :
     Minimize D fl ti i th l t h l
     Mi i i Deflection in the clutch lever
  Constraints :
     Maximum stress < baseline maximum
     M i              b li        i          stress
                                              t
  Design Variables:
     Shape of diffe ent feat es of the cl tch le e
              different features       clutch lever
  Range of the design variables:
     Range based on manufacturability, package space and
                      manufacturability
     element quality constraints
Lever - Loads and BC
                                                            Two points are
                                                            rigidly constrained
                                                              g y
                                                            except for the rotation
                                                            about y axis




                                                   z axis translation is constrained
                                     2.86KN
                                     2 86KN
         X axis

                                 5.65KN

Z axis
                            Material = Cast Iron
Design Variables of the Clutch lever

                            Thickness of ribs




                   Width of web

     Thickness of web




                                                Height of ribs
Optimization – Design Space
Results Review - Mass history plot




X 1000kg
Results Review - Maximum Von Mises stress history plot




MPa
Optimization Statistics

  Multi-genetic global optimization scheme used
  Optimum obtained after 80 loops
  Total completion time for Abaqus analysis, results extraction &
  morphing in each loop = 30 min.
  HPJ6700 machine used for analysis
  After obtaining optimum for maximum stiffness, a separate
  optimization was carried out to minimize mass
  Results are presented in the subsequent slides
Results of Optimization

  Stiffness was improved about 25%
  Stress levels were maintained below the target of the material
  yield strength
  There was marginal increase in weight
Results of Optimization for maximizing stiffness
Shape change from original to Optimal design




                                              Baseline design

                                              Optimized design
Results of Optimization for minimizing mass
             Shape change from original to Optimal design




                                                    DV2
                                                    Baseline
                                                    Optimum



                                                    DV5 & DV7
                                                    Baseline
                                                    Optimum
  DV4
  Baseline
  Optimum


                                                                Optimized design

                                                                Baseline design

DV5 & DV7
                                              DV9
Baseline
                                              Baseline
Optimum
                                              Optimum
Baseline to Optimum
Conclusions

  A robust mesh morphing based shape optimization process has been
  demonstrated
  It can be effectively used on components with complex geometries
  Significant shape change has been effected in a robust manner using
  this process
  The process can be successfully implemented on large system level
  models with multi-disciplinary constraints
  The ti i d         d l     b
  Th optimized model can be exported out in stereo-lithography (STL)
                                      t d ti t        lith    h
  file format, that can be imported into any CAD system, using which a
  detailed geometry can be built
  Using hi
  U i this process, the CAE engineer can truly lead the design process
                        h         i            l l d h d i

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Abaqus2004 Morpher Isight

  • 1. MESH MORPHING BASED SHAPE OPTIMIZATION OF A CLUTCH LEVER Abaqus Global User Conference, 2004 Presented by: Ramesh Padmanaban, Ragavendran Vasudevan, , g , Radha Krishnan Detroit Engineered Products, Inc. Yogesh Wadhera – New Venture Gear Mike Sheh – Engineous Inc.
  • 2. Recent Trends in the CAE Industry Significant improvements in computing hardware: High speed processors Networked/distributed computing etc. Significant improvements in Solvers: Reduction in analysis execution time Parallel processing Availabililty of process integration & automation tools: Ability to automate a routine CAE p y process Creation of automated workflows
  • 3. Recent Trends in the CAE Industry Availability of general purpose optimization programs: Conduct i l C d t single and multi-discipline optimization studies that d lti di i li ti i ti t di th t utilize the automated workflows Create higher level ‘quick turn-around’ response surface models Availability of Morphing & Parametrization Tools: Ability to remove a key bottle neck in the optimization process, i.e, CAD dependency Rapid FE & CFD model generation – in a fraction of time taken by conventional methods b on entional
  • 4. Role of Design Exploration & Optimization With these trends, the CAE engineer is best positioned for: Conducting DOE studies Conduct Optimization studies Perform design exploration Perform DFSS (Design for Six Sigma) studies Clear move from ‘single point design study to design single study’ exploration Good positioning of the CAE engineers to truly lead p g g y the design process
  • 5. CAE TO LEAD THE DESIGN PROCESS HARDWARE SOLVER SPEED IMPROVEMENTS IMPROVEMENTS CAE not just a validation tool Instead, Instead CAE will PROCESS lead the design AUTOMATION & MORPHING & OPTIMIZATION PARAMETRIZATION process TOOLS TOOLS OPTIMIZED DESIGN
  • 6. Different Shape Optimization Approaches Explicit definition of nodal movement as design variables: Rather cumbersome to set up Limited to small shape changes Shape optimization with CAD in the loop: OPTIMIZER New values of design parameters ANALYSIS SOLVER PARAMETRIC CAD SYSTEM NO Is it OPTIMUM ? Regenerated CAD model (new design) YES FE PRE-PROCESSOR PRE PROCESSOR (Auto-meshing) STOP FE model of the new design
  • 7. Different Shape Optimization Approaches Remeshing from CAD data not fully automatable If FE model is an assembly comprising of different components and different types of elements remeshing elements, almost impossible May be limited to only shape parameters Mesh Morphing based shape optimization process OPTIMIZER New values of d i N l f design parameters MORPHER (FE/CFD Parametrization tool) Analysis ready FE model of new design ANALYSIS SOLVER NO Is it OPTIMUM ? YES STOP
  • 8. Different Shape Optimization Approaches In this process CAD model generation is completely eliminated from the optimization process Models generated by the Morpher are analysis ready Process inherently robust Large shape changes are possible
  • 9. Important stages in the Morpher based shape optimization process Parametrization of the FE (or CFD) model Analysis Process Automation Optimization
  • 10. Parametrization: High Level Description Linear Static Analysis Model Non-linear Static Model MESHWORKS/MORPHER Parametrized V3.0 Model Data Noise & Base Morphing and Vibrations model Vib ti d l Parametrization Tool Crash Model CFD Model
  • 11. Types of Design Parameters SHAPE FEATURE STRUCTURAL GENERAL PARAMETERS PARAMETERS PARAMETERS PARAMETERS Cross-section of A- Automated stiffener Thickness of Air bag firing time pillar (bead) creation shell structures (stiffness/frequency) Friction coefficient Number of stiffener Cross-sectional Vent Opening width of Column stroke beads and their properties of Passenger Air Bag spacing beam members Stiffness curve (occupant safety) Automated Etc. Etc. Front hood angle punching of holes (external and slots aerodynamics) Etc. Rail width & height (crashworthiness) Tether length & connection location Etc.
  • 12. Parametrizing FE/CFD models Parametrization of the FE/CFD Model / Use Morpher to parametrize existing FE/CFD models Introduce shape, structural, feature and general parameters FE/CFD models become INTELLIGENT PARAMETRIC FE/CFD models
  • 13. Creating a Design Design A Design B Design Design Design parameter A parameter B parameter C Morph Set A Morph Set B Morph Set C Control Zone Deformation Zone Fixed Zone
  • 14. Concept of Parametric FE model (contd.) DP3 DP1 – Length design variable L th d i i bl DP2 – Height design variable DP3 – Width design variable DP2 DP4 – Radius design variable DP4 DP1 DP1 – 3.5 DP2 – 4.0 40 Design 1 g DP3 – 1.2 DP4 – 2.0 Parametrized FE model DP1 – 4.0 DP2 – 5.0 DP3 – 2.0 Design 2 DP4 – 2.5
  • 15. Optimization loop Design 1 DP1 Design 2 DP2 Design 3 g P met i ed FE model Parametrized DP3 DP4 Design n OPTIMUM Loop 1 Loop 2 Loop 3 Loop n
  • 16. Analysis Process Automation Use an analysis process automation tool such as Isight to automate typical analysis process steps executed by the CAE engineer These steps would typically include: Submission f h S b i i of the model for analysis to Abaqus d lf l i Ab From the results generated, extract the specific output parameters such as maximum deflection, maximum stress, contact pressure etc etc. Compute sensitivities of output parameters with respect to design variables Based on sensitivities, generate new values for design variables sensitivities Execute Morpher to generate analysis model of new design Proceed with the next loop Analysis t ti i A l i process automation is essential for automated ti l f t t d optimization process
  • 17. Optimization Methodology Optimization p FEA Run time Resource & Project calendar time Number of Design Parameters Design Space – Linear & Non-linear A t t d Automated Model Response Surface M d l R S f
  • 18. Analysis Process Automation & Optimization set up Meshworks/Morpher Parametrization & shape change engine g Analysis ready FE/CFD iSIGHT (Design model with new shape parameter values generation) Abaqus analysis q y FE / CFD Analysis iSIGHT NO output Parsing Conve r- Results extraction gence YES optimum
  • 19. Optimization Loop (iSIGHT) Batch Morpher Shape change Abaqus Translation Remote execution of Abaqus iSIGHT waiting for Abaqus results Results extraction Remote deletion of old files
  • 20. iSIGHT integration with Morpher – Design Parameter file iSIGHT modifies the values of each design parameter in DP file. A sample file is shown above. The logical way of automatically modifying the design parameter is using an optimization algorithm.
  • 21. Results Extraction iSIGHT extracts the results from the text output file ( from analysis ). A sample file is shown above
  • 22. Presentation of actual case study – optimization of clutch lever Objective function : Minimize D fl ti i th l t h l Mi i i Deflection in the clutch lever Constraints : Maximum stress < baseline maximum M i b li i stress t Design Variables: Shape of diffe ent feat es of the cl tch le e different features clutch lever Range of the design variables: Range based on manufacturability, package space and manufacturability element quality constraints
  • 23. Lever - Loads and BC Two points are rigidly constrained g y except for the rotation about y axis z axis translation is constrained 2.86KN 2 86KN X axis 5.65KN Z axis Material = Cast Iron
  • 24. Design Variables of the Clutch lever Thickness of ribs Width of web Thickness of web Height of ribs
  • 26. Results Review - Mass history plot X 1000kg
  • 27. Results Review - Maximum Von Mises stress history plot MPa
  • 28. Optimization Statistics Multi-genetic global optimization scheme used Optimum obtained after 80 loops Total completion time for Abaqus analysis, results extraction & morphing in each loop = 30 min. HPJ6700 machine used for analysis After obtaining optimum for maximum stiffness, a separate optimization was carried out to minimize mass Results are presented in the subsequent slides
  • 29. Results of Optimization Stiffness was improved about 25% Stress levels were maintained below the target of the material yield strength There was marginal increase in weight
  • 30. Results of Optimization for maximizing stiffness Shape change from original to Optimal design Baseline design Optimized design
  • 31. Results of Optimization for minimizing mass Shape change from original to Optimal design DV2 Baseline Optimum DV5 & DV7 Baseline Optimum DV4 Baseline Optimum Optimized design Baseline design DV5 & DV7 DV9 Baseline Baseline Optimum Optimum
  • 33. Conclusions A robust mesh morphing based shape optimization process has been demonstrated It can be effectively used on components with complex geometries Significant shape change has been effected in a robust manner using this process The process can be successfully implemented on large system level models with multi-disciplinary constraints The ti i d d l b Th optimized model can be exported out in stereo-lithography (STL) t d ti t lith h file format, that can be imported into any CAD system, using which a detailed geometry can be built Using hi U i this process, the CAE engineer can truly lead the design process h i l l d h d i