基于响应面法的龙门下框架轻量化设计

Lightweight Design for Gantry Underframe Based on Response Surface Method

针对龙门下框架设计过于保守、材料利用率不高的问题,提出了基于响应面法的龙门下框架轻量化设计方法。通过将中心复合试验设计与有限元数值模拟技术相结合,构建了龙门下框架质量、刚度、强度的二阶多项式响应面模型,并对其进行了精度检验,验证了所建立的响应面模型具有足够的精度。在此基础上,以各构件厚度为设计变量,质量为目标,刚度及强度为约束建立了龙门下框架轻量化设计数学模型,采用序列二次规划算法进行求解,并对优化结果进行仿真验证。结果表明,优化后的龙门下框架满足刚度和强度要求,重量降低了82.1kg,减重率达到了19.0%,轻量化效果显著。

Aiming at the problem that the design of the gantry underframe is too conservative and the utilization rate of material is not high,a lightweight design method for gantry underframe based on response surface method was proposed.A second-order polynomial response surface model of the mass,stiffness and strength for the gantry underframe were constructed by combining the central composite design with the finite element numerical simulation technique,and the precision test was carried out to illustrate these response surface models have sufficient accuracy.On this basis,a lightweight design mathematical model of the gantry underframe was established by taking the thickness of each component as design variables,the stiffness and strength as constraints,and the mass as object function.The sequential quadratic programming method was adopted to solve this optimization problem,and the optimization results were verified by simulation.The results show that the optimized gantry underframe meets the stiffness and strength requirements,the weight is reduced by 82.1kg,the weight reduction rate is 19.0%,and the lightweight effect is remarkable.