This book discusses the application of independent continuous mapping method in predicting and the optimization of the mechanical performance of buckling withdisplacement, stress and static constrains. Each model is explained by mathematicaltheories and followed by simulation with frequently-used software. With abundantproject data, the book is an essential reference for mechanical engineers, structural engineers and industrial designers.
本书利用ICM拓扑优化方法，对连续体考虑屈曲的拓扑优化问题进行了研究，建立了以结构的重量*小为目标，以屈曲临界力为约束以及与位移、应力组合为多约束的四种拓扑优化模型。
边炳传，男，2007年毕业于北京工业大学，机械工程专业博士，副教授，现任机械与建筑工程学院院长；发表各级各类论文30余篇；在核心期刊和国际会议上发表科研论文30余篇，其中被EI检索6篇；编著教材2部；获得6项实用新型专利；4项软件著作权。主持山东省中青年科学家科研奖励基金项目1项；泰安市科技计划项目1项；主持泰山学院资助项目1项。参加国家自然科学基金项目1项；省级科研项目4项；市厅级项目1项。指导泰安市大学生科技创新项目7项，指导山东省机电产品创新设计大赛7项。
1 Introduction /1
1.1 Background/ 1
1.2 Current Development /3
1.3 Software Platform /13
1.4 Key Topics in Buckling Topological
Optimization Research /14
2 Topological Optimization for Continuous
Structure with Bulking
Constrain /17
2.1 Introduction/ 17
2.2 ICM Method /18
2.3 Determination of Filter Function /21
2.4 Model Establishment and Realization /28
2.5 Solution to Optimization /32
2.6 Optimization Strategy /34
2.7 Constrain Selection/ 36
2.8 Optimization Algorithms /48
2.9 Numerical Simulation and Case Study/ 49
2.10 Summary /108
3 Topological Optimization for Continuous
Structure with Bulking
and Displacement Constraint /109
3.1 Introduction /109
3.2 Model Establishment and Solution /110
3.3 Optimization Strategy /116
3.4 Constrain Selection /117
3.5 Optimization Algorithms /123
3.6 Numerical Simulation and Case Study
/125
3.7 Summary /172
4 Topological Optimization for Continuous
Structure with Buckling
and Stress Constraints /174
4.1 Introduction/ 174
4.2 Deformation Energy /175
4.3 The Theoretical Background of
Deformation Energy /176
4.4 Method of Globalization of Stress
Constraints and Strain Revision
Coefficient /176
4.5 Model Establishment and Solution /178
4.6 Optimization Strategy/ 184
4.7 Constraint Selection/ 185
4.8 Optimization Algorithms/ 190
4.9 Numerical Simulation and Case Study
/191
4.10 Summary /238
5 Topological Optimization for Continuous
Structure with Static
Constraint/ 240
5.1 Introduction /240
5.2 Model Establishment and Solution /240
5.3 Upper Limit for Constraint/ 246
5.4 Optimization Algorithms /246
5.5 Numerical Simulation and Case Study/
248
5.6 Summary/ 269
6 Software and User Instructions /274
6.1 Introduction /274
6.2 Compiling and Linking of a User
Program/ 275
6.3 Setup for Analysis and Output /275
6.4 Topological Optimization Menu and
Inputs/ 276
6.5 Output and Results Menu /282
6.6 Summary /292
7 Engineering Applications /293
7.1 Introduction /293
7.2 System Optimization in Industry via
Mixed Programming/ 293
7.3 Topological Optimization in the Design
of a Power Transformer
Lifting Lug /297
7.4 Finite Element Method and Topological
Optimization in a
Small-sized Transformer Fuel Tank /306
7.5 Topological Optimization in the Design
of Vacuum Tank/ 322
7.6 Summary /331
8 Prospect /333
References/ 336
Disclaimer for the software /340
Index /341
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