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.
本書利用ICM拓撲優(yōu)化方法，對連續(xù)體考慮屈曲的拓撲優(yōu)化問題進行了研究，建立了以結(jié)構(gòu)的重量*小為目標，以屈曲臨界力為約束以及與位移、應(yīng)力組合為多約束的四種拓撲優(yōu)化模型。
邊炳傳，男，2007年畢業(yè)于北京工業(yè)大學，機械工程專業(yè)博士，副教授，現(xiàn)任機械與建筑工程學院院長；發(fā)表各級各類論文30余篇；在核心期刊和國際會議上發(fā)表科研論文30余篇，其中被EI檢索6篇；編著教材2部；獲得6項實用新型專利；4項軟件著作權(quán)。主持山東省中青年科學家科研獎勵基金項目1項；泰安市科技計劃項目1項；主持泰山學院資助項目1項。參加國家自然科學基金項目1項；省級科研項目4項；市廳級項目1項。指導泰安市大學生科技創(chuàng)新項目7項，指導山東省機電產(chǎn)品創(chuàng)新設(shè)計大賽7項。
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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