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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.8 P.1351~1357

10.1631/jzus.2006.A1351


Dynamic stiffness for thin-walled structures by power series


Author(s):  ZHU Bin, LEUNG A.Y.T.

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   binzhu@zju.edu.cn

Key Words:  Dynamic stiffness method, Thin-wall structures, Power series, Buckling


ZHU Bin, LEUNG A.Y.T.. Dynamic stiffness for thin-walled structures by power series[J]. Journal of Zhejiang University Science A, 2006, 7(8): 1351~1357.

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%DOI 10.1631/jzus.2006.A1351

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T1 - Dynamic stiffness for thin-walled structures by power series
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A1 - LEUNG A.Y.T.
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SP - 1351
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1351


Abstract: 
The dynamic stiffness method is introduced to analyze thin-walled structures including thin-walled straight beams and spatial twisted helix beam. A dynamic stiffness matrix is formed by using frequency dependent shape functions which are exact solutions of the governing differential equations. With the obtained thin-walled beam dynamic stiffness matrices, the thin-walled frame dynamic stiffness matrix can also be formulated by satisfying the required displacements compatibility and forces equilibrium, a method which is similar to the finite element method (FEM). Then the thin-walled structure natural frequencies can be found by equating the determinant of the system dynamic stiffness matrix to zero. By this way, just one element and several elements can exactly predict many modes of a thin-walled beam and a spatial thin-walled frame, respectively. Several cases are studied and the results are compared with the existing solutions of other methods. The natural frequencies and buckling loads of these thin-walled structures are computed.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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