Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization.

This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers.

• Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models
• Centers on the application of ICM method in various situations with the introduction of easily coded software
• Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Autorentext

Professor, College of mechanical engineering and applied electronics technology in the Beijing University of Technology, Beijing, China.His research fields are structural-multidisciplinary optimization, computational mechanics and applied mathematical programming. One of his main contributions is the proposition of ICM (Independent Continuous and Mapping) Method for Topology Optimization of Continuum Structurese is member of ISSMO (International Society for Structural and Multidisciplinary Optimization), the vice chairman of Beijing society of mechanics and the deputy editor in chief of Journal Engineering Mechanics. He has presided over many projects supported by Natural Science Foundation of China and industrial fields. He has published more than 400 papers, 6 academic monographs and obtained more than 40 software copyrights. He won 4 science awards including the second-class national award in natural sciences of China and the third-class national science and technology progress award.

Inhalt

1. Exordium
   
   2. Foundation of ICM (Independent Continuous and Mapping) Method
   3. Stress Constrained Topology Optimization for Continuum Structures
   4. Displacement Constrained Topology Optimization for Continuum Structures
   5. Topology Optimization for Continuum Structures with Stress and Displacement Constraints
   6. Topology Optimization for Continuum Structures with Frequency Constraints
   7. Topology Optimization with Displacement and Frequency Constraints for Continuum Structures
   8. Topology Optimization for Continuum Structures under Forced Harmonic Oscillation
   9. Topology Optimization with Buckling Constraints for Continuum Structures
   10. Other Correlative Methods