A critical comparative assessment of differential equation-driven methods for structural topology optimization
| Autor: | Glaucio H. Paulino, Arun L. Gain |
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| Rok vydání: | 2013 |
| Předmět: |
Mathematical optimization
Control and Optimization Partial differential equation Differential equation Topology optimization Numerical methods for ordinary differential equations Explicit and implicit methods Exact differential equation Computer Graphics and Computer-Aided Design Stiff equation Computer Science Applications Control and Systems Engineering Software Separable partial differential equation Mathematics |
| Zdroj: | Structural and Multidisciplinary Optimization. 48:685-710 |
| ISSN: | 1615-1488 1615-147X |
| Popis: | In recent years, differential equation-driven methods have emerged as an alternate approach for structural topology optimization. In such methods, the design is evolved using special differential equations. Implicit level-set methods are one such set of approaches in which the design domain is represented in terms of implicit functions and generally (but not necessarily) use the Hamilton-Jacobi equation as the evolution equation. Another set of approaches are referred to as phase-field methods; which generally use a reaction-diffusion equation, such as the Allen-Cahn equation, for topology evolution. In this work, we exhaustively analyze four level-set methods and one phase-field method, which are representative of the literature. In order to evaluate performance, all the methods are implemented in MATLAB and studied using two-dimensional compliance minimization problems. |
| Databáze: | OpenAIRE |
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