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Mode shape functions of free paraboloidal thin shells
Wang Xinjie, Yue Honghao, Deng Zongquan*
School of Mechatronic Engineering, Harbin Institute of Technology, Harbin 150001, China

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Abstract�� 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.
Keywords�� paraboloidal thin shell   mode shape function   membrane theory   modal analysis     
Received 2010-11-15;
Fund:������Ȼ��ѧ����������Ŀ(50705017,50675043); �ߵ�ѧУѧ�ƴ������Ǽƻ�������Ŀ(B07018)
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Wang Xinjie, Yue Honghao, Deng Zongquan.Mode shape functions of free paraboloidal thin shells[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2012,V(3): 389-393
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