基于响应面方法的结构碰撞优化

应用响应面方法可将结构响应表达为设计变量的显式形式．为拟合响应面，基于中心复合设计和单纯形设计简化出了中心对称和拟单纯形设计，其既可以保证约束近似精度，同时降低计算量．针对常见优化问题，使用响应面方法将其构造为线性或者非线性约束优化模型，并应用Matlab优化工具箱求解．方管碰撞优化数值算例表明文中提出的试验设计方法及优化模型有较好的求解效率和精度．

STRUCTURAL OPTIMIZATION BASED ON RESPONSE SURFACE METHODOLOGY

Using response surface methodology (RSM), the responses of a system can be expressed in the explicit form of the design variables. For fitting response surfaces, the central symmetric design and the quasi-simplex design are developed according to central composite design and simplex design, respectively, in an attempt to cut down the computational cost involved in repetitive structural analyses with the accuracy being guaranteed. For a common optimization problem, the RSM can formulate it into an optimal model linearly or nonlinearly constrained. The optimization toolbox of Matlab can be employed to find the optima. The crashworthiness design shows that the application of the proposed experimental design methods and optimal model can achieve good accuracy and efficiency.