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诺森屈曲约束的拓扑优化:Topological optimization of buckling
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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
. 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 EstablishmenndSlution /110
3.3 Optimization Strategy /116
3.4 Constrain Selection /117
3.5 Optimization Algorithms /1
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 EstablishmenndSlution /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 /
5 Topological Optimization for Continuous
Structure with Static
Constraint/ 240
5.1 Introduction /240
5.2 Model EstablishmenndSlution /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
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。
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