中文摘要：

在拓扑优化的基础上，提出根据拓扑优化结果改进筋板布局的方法，并结合案例，构造了基于相对密度法的连续体结构动力学拓扑优化设计数学模型，以结构的相对密度为设计变量，分别以柔度最小化、一阶固有频率最大化为目标和两者结合的多目标进行拓扑优化。在采用多目标优化时，对两个目标用加权和方法进行折衷处理，通过设置权值来确定两者在优化中所起作用大小。优化后得出不同的密度云图。根据密度云图所示材料分部，改进筋板布局，达到提高机床动、静态特性的目的。

英文摘要：

By means of topology optimization technique, an approach doing improving the layout of rib plates directed by the outcome of topology optimization is proposed herein. In consideration of actual engineering scenarios, the mathematical models of structural dynamic characteristic topology optimal design on continuum structures were established, then this model carries out topology optimization of pillar structures by making the relative density of the structure as the design variables with minimizing the compliance, maximizing the first order natural frequency as the objectives and a combination of the two as a multi-objective respectively. When optimizing with multi-objective, compromise programming method is adopted to process the two objectives and the effects of the two objectives are determined by the weight. After optimization, different density nephograms are created. With the aid of the material distribution shown in density nephograms, the layout of rid plate is re-engineered and the static and dynamic performance of the investigated machine tool is therefore remarkably enhanced.