利用导重法进行结构拓扑优化

介绍了导重准则法基本原理并将其应用于杆系结构及连续体结构拓扑优化。对于重量约束结构性能最优化和多性态约束结构重量最小化问题的连续结构拓扑优化问题,详细推导了导重法与变密度SIMP(Solid Isotropic Microstructure with Penalization)法相结合的更加规范的全新优化准则公式,并给出了相应的算例。计算结果表明,导重法不仅适用于传统的结构尺寸优化与形状优化,而且可很好地求解结构拓扑优化问题,并具有公式简单、通用性强、收敛速度快及优化效果好的优点。

Guide-weight method for structural topology optimization

The basic theory of Guide-weight method is introduced and applied in solving topology optimization of continuum structures and truss structures.For structural topology optimization problems of performance optimization with a single weight constraint and structural weight minimization with multiple performance constraints, a new canonical formula combined Guide-weight method with SIMP(Solid Isotropic Microstructure with Penalization) method is presented.And corresponding numerical examples are carried out.Results of examples show that Guide-weight method is available for traditional structural size and shape optimization, and for topology optimization, and the combined method takes advantages of simple formula, broad generality, fast convergence and excellent result.