张骥《关学宗传》的学术史意义

为了提高拓扑优化在实际工程应用中的速度，将一种基于拓扑灵敏度的拓扑优化算法与免组装有限元法结合,对汽车悬架控制臂进行多工况拓扑优化.该方法使用一致的体素单元划分网格，用压缩共轭梯度法(DCG)加速有限元的求解，得到结构的应力和应变场，从而获得拓扑灵敏度场，用来控制结构拓扑变化.通过添加多工况优化以及加工约束功能，使该方法更符合工程应用的要求.通过对比，该方法和商用软件能够获得性能接近、形状相似的优化结构，而整个优化过程的速度有显著提高.

Topology Optimization of Suspension Control Arm Based on Assembly-free Finite Element Method

A suspension control arm was optimized by topology optimization under multi-working condition. In order to improve the speed of topology optimization for practical engineering problems, a topology optimization method based on topological sensitivity was combined with an assembly-free finite element method. The structure was discretized via uniform voxels. A deflated conjugate gradient (DCG) method was used to accelerate the finite element analysis. After the finite element analysis, the stress and strain field can be used to generate the topological sensitivity field, and the topological sensitivity field can be used to control the change of topology. Multi-working condition optimization and manufacturing constraints were used to make the method more suitable for practical problem. The comparison shows that the method can result in the close performance and similar shape of optimized structure to the commercial software. Meanwhile, the speed of the entire optimization is increased significantly.