首页 | 本学科首页   官方微博 | 高级检索  
     

矩形网格扁壳结构的非线性振动
引用本文:聂国华. 矩形网格扁壳结构的非线性振动[J]. 应用数学和力学, 1994, 15(6): 495-504
作者姓名:聂国华
作者单位:同济大学工程力学系 上海
摘    要:本文运用作者已建立的矩形网格扁壳的非线性弹性理论,求解了该类结构的非线性振动问题。通过采用横向挠度(网格节点横向位移)和力函数的某种(广义)Fourier级数形式的设定解,由试函数的加权得到解中系数之间的关系和决定时间未知函数的振动方程,然后利用正则摄动法和迦辽金法推导出结构自由振动和谐和激励作用下结构非线性受迫振动的幅频关系,并给出了计算实例。

关 键 词:矩形网格扁壳   非线性   振动   幅频特征关系   梁振动特征函数
收稿时间:1992-09-26

Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures
Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504
Authors:Nie Guo-hua
Affiliation:Department of Engineering Mechanics, Tongji Universitg, Shanghai
Abstract:This paper deals with non-linear vibration of rectangular reticulated shallow shells by applying non-linear elastic theory of such structures established by the author. Using the assumed(generalized)Fourier series solutions for transverse deflection(lattice joint transverse displacement)and force function,weighted means of the trial functions lead to the relatious among the coefficients related to the solutions and vibration equation which determines the unknown time func-tion,and then the amplitude-frequency relations for free vibration and forced vibration due to harmonic forcc are derived with the aid of the regular perturba-tion method and Galerkin procedure,respectively. Numerical examples are given as well.
Keywords:rectangular reticulated shallow shells  non-linear  vibration  charac-teristic amplitude-frequency relation  beam vibration eigenfunctions  
本文献已被 CNKI 等数据库收录!
点击此处可从《应用数学和力学》浏览原始摘要信息
点击此处可从《应用数学和力学》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号