Modeling, Solving and Application for Topology Optimization of Continuum Structures.
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| Author / Creator: | Sui, Yunkang. |
|---|---|
| Imprint: | Saint Louis : Elsevier Science, 2017. |
| Description: | 1 online resource (395 pages) |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11350013 |
Table of Contents:
- Front Cover; Modeling, Solving and Application for Topology Optimization of Continuum Structures; Copyright Page; Dedication; Contents; Preface; Acknowledgment; 1 Exordium; 1.1 Research History on Structural Optimization Design; 1.1.1 Classification and Hierarchy for Structural Optimization Design; 1.1.2 Development of Structural Optimization; 1.2 Research Progress in Topology Optimization of Continuum Structures; 1.2.1 Numerical Methods Solving Problems of Topology Optimization of Continuum Structures; 1.2.2 Solution Algorithms for Topology Optimization of Continuum Structures.
- 1.3 Concepts and Algorithms on Mathematical Programming1.3.1 Three Essential Factors of Structural Optimization Design; 1.3.2 Models for Mathematical Programming; 1.3.3 Linear Programming; 1.3.4 Quadratic Programming; 1.3.5 Kuhn-Tucker Conditions and Duality Theory; 1.3.6 K-S Function Method; 1.3.7 Theory of Generalized Geometric Programming; 1.3.8 Higher Order Expansion Under Function Transformations and Monomial Higher Order Condensation Formula; 2 Foundation of the ICM (independent, continuous and mapping) method; 2.1 Difficulties in Conventional Topology Optimization and Solution.
- 2.2 Step Function and Hurdle Function-Bridge of Constructing Relationship Between Discrete Topology Variables and Element P ... 2.3 Fundamental Breakthrough-Polish Function Approaching to Step Function and Filter Function Approaching to Hurdle Function; 2.3.1 Polish Function; 2.3.2 Filter Function; 2.3.3 Filter Function Makes Solution of Topology Optimization Operable; 2.3.4 Relationship of Four Functions; 2.4 ICM Method and Its Application; 2.4.1 Whole Process of Identification Quantity of Element and Its Mapping Identification; 2.4.2 Several Typical Polish Functions and Filter Functions.
- 2.4.3 Identification Speed of Different Functions and Determination of Their Parameters2.4.3.1 Criteria method; 2.4.3.2 Trial and error method; 2.4.3.3 Constructing method; 2.4.4 Transformation From the Parameter of the Power Function to the Parameter of the Logarithmic Function for the Filter F ... ; 2.4.5 Establishment of the Structural Topology Optimization Model Based on the ICM Method; 2.4.6 Inversion of Mapping; 2.5 Exploration of Performance of Polish Function and Filter Function; 2.5.1 Classification of Polish Functions and Filter Functions; 2.5.2 Type Judgment Theorem.
- 2.5.3 Theorem of Corresponding Relations of Polish Functions and Filter Functions2.6 Exploration of Filter Function With High Precision; 2.6.1 Application Criterion of Filter Function With High Precision; 2.6.2 Method on Constructing Fast Filter Function by Left Polish Function With High Precision; 2.6.3 Selection of Parameter for Exponent Type of Fast Filter Function; 2.7 Breakthrough on Basic Conceptions in ICM Method; 3 Stress-constrained topology optimization for continuum structures; 3.1 ICM Method With Zero-Order Approximation Stresses and Solution of Model.