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(shū)利用ICM拓?fù)鋬?yōu)化方法，對(duì)連續(xù)體考慮屈曲的拓?fù)鋬?yōu)化問(wèn)題進(jìn)行了研究，建立了以結(jié)構(gòu)的重量*小為目標(biāo)，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?fù)鋬?yōu)化模型。
邊炳傳，男，2007年畢業(yè)于北京工業(yè)大學(xué)，機(jī)械工程專業(yè)博士，副教授，現(xiàn)任機(jī)械與建筑工程學(xué)院院長(zhǎng)；發(fā)表各級(jí)各類論文30余篇；在核心期刊和國(guó)際會(huì)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(xiàng)實(shí)用新型專利；4項(xiàng)軟件著作權(quán)。主持山東省中青年科學(xué)家科研獎(jiǎng)勵(lì)基金項(xiàng)目1項(xiàng)；泰安市科技計(jì)劃項(xiàng)目1項(xiàng)；主持泰山學(xué)院資助項(xiàng)目1項(xiàng)。參加國(guó)家自然科學(xué)基金項(xiàng)目1項(xiàng)；省級(jí)科研項(xiàng)目4項(xiàng)；市廳級(jí)項(xiàng)目1項(xiàng)。指導(dǎo)泰安市大學(xué)生科技創(chuàng)新項(xiàng)目7項(xiàng)，指導(dǎo)山東省機(jī)電產(chǎn)品創(chuàng)新設(shè)計(jì)大賽7項(xiàng)。
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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