基于遗传优化径向基函数的梁板固有特性分析  

Natural characteristic analysis of beams and plates based on genetic optimized radial basis functions

作　　者：荆栋[1] 胡帅钊 邵明玉 马驰骋[1] JING Dong;HU Shuaizhao;SHAO Mingyu;MA Chicheng(School of Transportation and Vehicle Engineering,Shandong University of Technology,Zibo 255049,China)

机构地区：[1]山东理工大学交通与车辆工程学院,山东淄博255049

出　　处：《山东理工大学学报（自然科学版）》2021年第5期8-15,共8页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(11702162,51275280);淄博市校城融合发展计划项目(2018ZBXC107)。

摘　　要：为了提高径向基函数(RBF)的计算精度,利用遗传优化的径向基函数分析薄壁梁和板的固有特性。在静态分析的基础上,通过遗传算法(GA)优化径向基函数中的形状参数;利用改进后的径向基函数,分析薄壁梁和板的固有特性,得到了不同工况下结构的特征值和特征模态。数值计算表明:使用遗传算法优化后,径向基函数的计算精度大幅度提高,固有频率的最大误差在5%以内,远小于未优化的情况。In order to improve the calculation accuracy of the radial basis function(RBF),this paper uses genetic-algorithm-optimized radial basis functions to analyze the natural characteristics of thin-walled beams and plates.Firstly,based on static analysis,the shape parameters of the radial basis functions are optimized by genetic algorithm(GA).Then,using the improved radial basis function,the natural characteristics of thin-walled beams and plates are analyzed,and the eigenvalues and characteristic modes of the structures under different working conditions are obtained.Numerical calculations show that after optimization by the genetic algorithm,the calculation accuracy of radial basis function is greatly improved,and the maximum error of vibration frequency is within 5%,which is far less than the case without optimization.

关 键 词：径向基函数 薄壁结构 遗传算法 固有特性 

分 类 号：O321[理学—一般力学与力学基础]