塔式起重机结构有限元模型修正的响应面方法  

Response surface method for the structural finite element model updating of tower cranes

作　　者：秦仙蓉[1] 潘杰 徐俭[1] 张氢[1] 孙远韬[1] QIN Xianrong;PAN Jie;XU Jian;ZHANG Qing;SUN Yuantao(Institute of Mechanical Design and its Theory, School of Mechanical Engineering, Tongji University, Shanghai 201804, China)

机构地区：[1]同济大学机械与能源工程学院机械设计及理论研究所,上海201804

出　　处：《振动与冲击》2018年第6期244-250,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51205292);国家科技支撑计划课题资助项目(2014BAF08B05)

摘　　要：为提高塔式起重机(塔机)的修正效率,提出了一种基于响应面的有限元模型修正方法。在合理的修正参数选取和试验设计基础上,拟合得到结构响应与修正参数之间的显式函数关系以替代传统的有限元模型,通过迭代优化实现机械结构的有限元模型修正。以悬臂梁及塔机为例,实现了基于响应面法的有限元模型修正,并对比了不同响应面模型的拟合精度和修正效果。分析结果表明,利用响应面模型替代复杂的塔机有限元模型进行结构有限元模型修正可以极大地提高计算效率和修正精度。同时,对于塔机结构,基于二次多项式响应面的模型修正相较于基于高斯径向基函数响应面的模型修正能获得更好的修正结果和修正效率。In order to improve the efficiency of structural model updating of tower cranes,FEM updating method based on response surface was proposed.Based on the appropriate parameter selection and test design,an explicit function describing the relation between structural responses and the parameters to be updated was employed as a substitute of the traditional FE model.The FEM updating method has been conducted with different response surfaces on a cantilever beam and a tower crane.The effects and accuracy of the model updating method using different response surfaces were also compared.The results show that the FEM updating method based on response surface is better than the complicated FEM without model updating in the aspects of calculation efficiency and accuracy,and that the FEM updating method based on the quadratic polynomial response surface is better than that based on the radial basis response surface for tower crane structures.

关 键 词：塔式起重机 响应面 结构响应 有限元模型修正 优化 

分 类 号：TH213.3[机械工程—机械制造及自动化]