自由边界抛物薄壳的模态振型函数  

Mode shape functions of free paraboloidal thin shells

作　　者：王新杰[1] 岳洪浩[1] 邓宗全[1] 

机构地区：[1]哈尔滨工业大学机电工程学院,哈尔滨150001

出　　处：《北京航空航天大学学报》2012年第3期389-393,共5页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目(50705017;50675043);高等学校学科创新引智计划资助项目(B07018)

摘　　要：基于membrane理论,推导出一组完全满足抛物薄壳自由边界条件的模态振型函数.通过模态分析实验得到自由边界抛物薄壳的低阶模态实验振型,将实验振型与有限元分析振型及依据模态振型函数所得到的理论振型进行对比,三者能够较好的吻合,表明所推导的模态振型函数可正确描述抛物薄壳的模态形状.Based on the membrane theory,a set of mode shape functions for paraboloidal thin shell with free boundary condition were formulated.Low mode shapes of free paraboloidal thin shell were obtained by the way of modal experiment analysis.The theoretical mode shapes based on the mode shape functions were compared with the mode shapes through finite element method and experimental method.The results show that the theoretical mode shapes agree well with the mode shapes through finite element method and experimental method.Then mode shapes of paraboloidal thin shell can be correctly described by the mode shape functions.

关 键 词：抛物薄壳 模态振型函数 membrane理论 模态分析 

分 类 号：V214[航空宇航科学与技术—航空宇航推进理论与工程] TU33[建筑科学—结构工程]