基于Kriging代理模型的结构形状优化方法

Optimization method of structural shape based on Kriging surrogate model

任何机械零件都是由结构尺寸和形状构成。通过常规设计手段,一般确定零件的整体结构尺寸,但大量局部的尺寸决定了零件形状,而零件的失效往往与零件形状是否合理密切相关。形状优化技术一般以有限元技术为基础,通过边界的迭代过程获得形状优化。文中结合试验设计技术和近似代理技术,利用少量样本点建立高精度分析模型,代替原有零件模型,在代理模型上寻找符合约束条件的结构参数,从而获得零件的形状优化。首先阐述了该优化方法的设计思想和理论基础,最后以六角钢盘的结构优化为例说明了该方法的具体应用过程。

Any mechanical component parts are all constituted from structural dimensions and shapes. Generally the overall structural dimensions of component parts were determined bies means of conventional measures of design,, but a great deal of partial dimensions would decide the shape of parts, yet the invalidation of parts was most often closely related with whether the shape of parts is rational or not. The shape optimization technology usually takes the finite element technology as a foundation and the shape optimization is obtained through the iteration process of boundaries. By combining with the experimental designing technology and the approximate surrogate technology and utilizing a few stylebook points, this paper established the high precision analytical model to replace the original model of parts. To seek out the structural parameters that accord with the constraint conditions in the surrogate model so as to obtain the shape optimization of parts. Firstly the designing thought and theoretical basis of this optimization method was expounded, and finally taking the structural optimization of a hexagonal steel plate as an example the concrete application process of this method was explained.