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![Copyright © 2012 Altair Engineering, Inc. Proprietary and Confidential. All rights reserved.
Optimization Problem Formulation
Min(max)
Minimize : max[d i ( x)] i = f 0 ,..., f n
Subject to : g j ( x) ≤ 0 j = 1,K, m
Min (max) with Frequency sub
ranges
Minimize : max[d i ( x )] i = f sub1 ,..., f sub 2
Subject to : g j ( x) ≤ 0 j = 1,K, m
System Identification
2
n
f ( x) − T
Minimize : ∑ wi i T i
i =1
i
Subject to : g j ( x) ≤ 0 j = 1,K , m
or
f i ( x) − Ti
Minimize : β with wi ≤β
Ti
Subject to : g j ( x) ≤ 0 j = 1,K , m
Curve Fitting](https://image.slidesharecdn.com/htc2012optistructtraining-120622074448-phpapp02/85/Altair-HTC-2012-Optistruct-Training-8-320.jpg)
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Altair HTC 2012 Optistruct Training
The document describes an OptiStruct workshop agenda that includes optimization techniques for noise, vibration and harshness (NVH), equivalent static load methods, and composites optimization. Specific topics covered are model updating, frequency sub-range optimization, global search options, optimization of multibody dynamics systems, nonlinear responses, zone versus ply modeling, design concept generation, and ply shape interpretation. The workshop also demonstrates acoustic cavity optimization using a target curve and global search optimization.
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Similar to Altair HTC 2012 Optistruct Training
Altair HTC 2012 Optistruct Training
- 1. OptiStruct Workshop Americas HyperWorks Technology Conference Warren Dias Innovation Intelligence® May 15, 2012
- 2. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Workshop Agenda • Optimization for Noise, Vibration and Harshness (NVH) • Model Updating / System Identification • Optimization with Frequency Sub-Ranges • Global Search Option • Equivalent Static Load Method • Optimization of MBD Systems • Optimization for Nonlinear Responses • Composites Optimization • Zone vs. Ply Based Modeling • Generating Design Concepts • Ply Shape Interpretation
- 3. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Altair OptiStruct • Award-winning technology for concept design synthesis and optimization. • At the forefront of developing new and innovative techniques. • Rapidly develop lightweight, structurally efficient designs by creating innovative concepts. • Powerful design fine-tuning capabilities to further improve the design. • Solve real world optimization problems, efficiently!
- 4. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Optimization Solutions HyperStudy OptiStruct Component Level System Level Concept Design Detailed Design
- 5. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. OptiStruct: An Overview Static with Coupled thermo- Contact mechanical Topology Manufacturing Normal Modes Constraints Equivalent Static Linear Buckling Load Method Frequency AMSES Response AMLS Interface Acoustic Direct & Iterative Response Solvers Random Design Response Shape Interpretation Parallel Fatigue Processing
- 6. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Workshop Agenda • Optimization for Noise, Vibration and Harshness (NVH) • Model Updating / System Identification • Optimization with Frequency Sub-Ranges • Global Search Option • Equivalent Static Load Method • Optimization of MBD Systems • Optimization for Nonlinear Responses • Composites Optimization • Zone vs. Ply Based Modeling • Generating Design Concepts • Ply Shape Interpretation
- 7. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. NVH with HyperWorks Solution Model Super Elements Optimization Diagnostics Management AMSES Post Proc. Toolkit Model Updating Build and Assembly FRF TPL, TPG, FRSZ Fluid Grid Particip. Full FE, CMS, etc. Transient SZ, SH, FRSHP DSA Subcase Manager TPA Internal Responses … … PEAKOUT … …
- 8. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Optimization Problem Formulation Min(max) Minimize : max[d i ( x)] i = f 0 ,..., f n Subject to : g j ( x) ≤ 0 j = 1,K, m Min (max) with Frequency sub ranges Minimize : max[d i ( x )] i = f sub1 ,..., f sub 2 Subject to : g j ( x) ≤ 0 j = 1,K, m System Identification 2 n f ( x) − T Minimize : ∑ wi i T i i =1 i Subject to : g j ( x) ≤ 0 j = 1,K , m or f i ( x) − Ti Minimize : β with wi ≤β Ti Subject to : g j ( x) ≤ 0 j = 1,K , m Curve Fitting
- 9. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Demonstration • Acoustic Cavity Model • Match a Target Curve • Optimize Acoustic Pressure Response • GSO
- 10. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Workshop Agenda • Optimization for Noise, Vibration and Harshness (NVH) • Model Updating / System Identification • Optimization with Frequency Sub-Ranges • Global Search Option • Equivalent Static Load Method • Optimization of MBD Systems • Optimization for Nonlinear Responses • Composites Optimization • Zone vs. Ply Based Modeling • Generating Design Concepts • Ply Shape Interpretation
- 11. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Equivalent Static Load Method • Dealing with dynamic problems considering true time history and not just worst case time step Analysis Load Optimization Dynamic / Nonlinear Problem Static Response Problem Load time history Design variables Equivalent static loads OptiStruct d fteq = Kdt t
- 12. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Demonstration 1 • Topology Optimization of the Pivot Structure • Force on Tire Spindle • Gravity Loading
- 13. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Demonstration 2 • Analysis Type: Geometric Non-Linearity (NLGEOM) • Material: Johnson-Cook Elastic-Plastic Material • Problem Formulation: • Objective Function: Minimize Volume • Design Constraints: Displacement
- 14. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Workshop Agenda • Optimization for Noise, Vibration and Harshness (NVH) • Model Updating / System Identification • Optimization with Frequency Sub-Ranges • Global Search Option • Equivalent Static Load Method • Optimization of MBD Systems • Optimization for Nonlinear Responses • Composites Optimization • Zone vs. Ply Based Modeling • Generating Design Concepts • Ply Shape Interpretation
- 15. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Composite Zone Based Modeling • One Property is Required for Each Laminate Zone Zone 1 Zone 2 Zone 3 Zone 2 Zone 1 • Plies are not Linked across Zones P1 P2 45 90 P3 -45 • Data Duplication, No Ply Shape P4 0 P5 -45 • No Relationship to the Manufacturing Process P6 90 P7 45 • Design Change Requires 3 Updates Zone 1 Zone 1 – Property Table Zone 3 – Property Table Ply Ma Thk Theta Ply Ma Thk Theta Zone 2 t t P7 M1 0.01 45 P7 M1 0.01 45 Zone 3 P4 M1 0.01 0 P6 M1 0.01 90 P1 M1 0.01 45 P5 M1 0.01 -45 P4 M1 0.01 0 Zone 2 – Property Table P3 M1 0.01 -45 Ply Ma Thk Theta t P2 M1 0.01 90 P7 M1 0.01 45 P1 M1 0.01 45 P5 M1 0.01 -45 P4 M1 0.01 0 P3 M1 0.01 -45 P1 M1 0.01 45
- 16. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Composite Ply Based Modeling • A Composite Part is made up of “n” Plies and One Laminate • No Data Duplication P1 45 • Direction Relationship to the Manufacturing Process P2 90 P3 -45 P4 0 • Ply Based Modeling Process P5 -45 P6 90 • Define Ply Shapes and Related Ply Data P7 45 • Define Stacking Sequences • Design Change Requires only 1 Update Stack Table Ply Ma Thk Theta t P7 M1 0.01 45 P6 M1 0.01 90 P5 M1 0.01 -45 P4 M1 0.01 0 P3 M1 0.01 -45 P2 M1 0.01 90 P1 M1 0.01 45
- 17. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Composite Optimization Process Phase 1 Ply Shapes Phase 2 z Number of Plies y x Free Sizing Phase 3 Laminate Stacking 45 0 -45 0 Ply Bundle Sizing Rule based 0 45 45 -45 90 90 -45 -45 45 0 ply shuffling 0 -45 90 45 Stacking Sequence Optimization
- 18. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Demonstration • Loading Conditions • Natural frequency • Centrifugal force due to rotational speed of 7.4 RPM • Gravity • Buckling • Fluid load as determined by a coupled FSI (fluid-structure interaction) analysis • Topology for Spars • Free Size on Skins
- 19. Copyright © 2012Altair Engineering, Inc. Proprietary and Confidential. All rights reserved. Thank You for Your Attention! • Optimization for Noise, Vibration and Harshness (NVH) • Model Updating / System Identification • Optimization with Frequency Sub-Ranges • Global Search Option • Equivalent Static Load Method • Optimization of MBD Systems • Optimization for Nonlinear Responses • Composites Optimization • Zone vs. Ply Based Modeling • Generating Design Concepts • Ply Shape Interpretation