Optimal Structural Design ：Contact Problems and High-Speed Penetration

Publication subTitle ：Contact Problems and High-Speed Penetration

Author： Banichuk Nikolay V.;Ivanova Svetlana Yu.  

Publisher： De Gruyter‎

Publication year： 2017

E-ISBN: 9783110531183

P-ISBN(Paperback): 9783110530803

Subject： O224 mathematical optimization theory;O241 数值分析;TH113 mechanical dynamics

Keyword： Energy technology & engineering,机械动力学,最优化的数学理论,数值分析,应用数学

Language： ENG

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Description

This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.

Contents
Part I: Quasi-statics of contact interaction
Optimal contact pressure and optimal punch shape
Influence of forces applied outside contact region
Shape optimization of punch moving with friction
Optimization in contact problems under incomplete data
Application of probabilistic data
Minimization of material wear
Multiobjective optimization of contact pressure, wear of material, and energy dissipation

Part II: High-speed penetration into deformable medium
Optimization of impactor shape
Strikers of nonaxisymmetric optimal shape
Multiobjective optimization of rigid shell
Optimization of truncated rotating strikers
Penetration into solid medium under strength constraints
Some problems of global multipurpose structural optimization
Analytical and numerical estimations of optimal parameters of layered slab
Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs

Part III: Appendices
N

Chapter

Preface

Contents

Part I: Quasi-statics of contact interaction

1. Optimal contact pressure and optimal punch shape

2. Influence of forces applied outside contact region

3. Shape optimization of punch moving with friction

4. Optimization in contact problems under incomplete data

5. Application of probabilistic data

6. Minimization of material wear

7. Multiobjective optimization of contact pressure, wear of material, and energy dissipation

Part II: High-speed penetration into deformable medium

8. Optimization of impactor shape

9. Strikers of nonaxisymmetric optimal shape

10. Multiobjective optimization of rigid shell

11. Optimization of truncated rotating strikers

12. Penetration into solid medium under strength constraints

13. Some problems of global multipurpose structural optimization

14. Analytical and numerical estimations of optimal parameters of layered slab

15. Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs

Part III: Appendices

Appendix A. Nonadditive functionals and extremum conditions

Appendix B. Multivariant estimation of functionals and their sensitivity

Appendix C. Basic ideas of multicriteria optimization

Appendix D. Evolutionary algorithm of global optimization

Bibliography

Index

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