基于响应面法的超高强钢点焊结构的尺寸优化

Dimensions optimization of ultra-high strength steel spot weld based on response surface methodology

关键词:  超高强钢  点焊  尺寸优化  响应面法  序列二次规划

Key words:  ultra-high strength steel  spot-welded  dimensions optimization  response surface  sequential quadratic programming

摘要:

以超高强钢点焊结构为研究对象,使用ANSYS软件中的APDL语言进行参数化建模,对结构的静强度进行分析,与试验比较验证了模型的有效性.在此基础上建立优化模型,以结构用料最少为目标,对点焊结构中的尺寸参数进行优化,优化过程中采用响应面法将应力约束显式化,得到函数表达式,然后运用序列二次规划算法对非线性模型进行优化求解,从而有效地避免了求解缓慢和振荡的问题.此外采用C语言编写计算程序,实现了优化计算程序的自动计算,有效地提高了计算效率,优化算例表明该方法有效可行.

Abstract:

A parametric model for the tensile-shear spot welded structure of ultra-high strength steel was established with software ANSYS by APDL to analyze the static strength of the structure,and was verified with experiments. Based on the simulated results,the optimized model was built to decrease the whole materials,and some sizes of the structure were also optimized. The response surface methodology was adopted to make the stress constraints explicit,and the sequential quadratic programming algorithm was used to achieve the most suitable solutions of the optimized model. The results show that this method could effectively enhance the solving efficiency and avoid oscillation. The calculation procedure was programmed with C language in order to improve efficiency,and the results indicate that the optimization was feasible and effective.