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

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