基于K邻近算法的连续体结构拓扑优化设计

摘要

以平面连续体为研究对象,建立了结构拓扑优化的数学模型,提出了新的结构优化方法.该方法利用K邻近理论进行结构优化的运算,给出了运算公式,定义了删除率以及进化率,并给出了计算实例,得到的结构优化结果与其他结构优化方法运算结果相近.结果表明K邻近理论结构优化方法是可行的.%Based on the plane continuum, the mathematic model of topology optimization was established, and a new topology optimization method of continuum structure was proposed. The k-nearest neighbor algorithm is used to conduct the operation of structure topology optimization in this method. The computation formula is provided, the deleting rate and evolving rate are defined. Several numerical examples are given and the optimal results are close to which obtained by the other method. The comparison indicates that the topology optimization method of continuum structure based on k-nearest neighbor is feasible.