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Coupled Bending-Torsional Dynamic Response of Axially Loaded Slender Composite Thin-Walled Beam with Closed Cross-Section

Structural Mechanics Research Institute, School of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, 200030 Shanghai, People’s Republic of China, LJY60023{at}sohu.com

Jin Xianding

Structural Mechanics Research Institute, School of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, 200030 Shanghai, People’s Republic of China

An analytical method towards investigating the dynamic coupled vibrations of axially loaded slender composite beams with a solid or closed thin-walled cross-section is presented. The classical composite beam theory is employed and the important effect of axial force is included in the present formulations. The exact natural frequencies and mode shapes of slender composite beams are computed by directly solving the governing differential equations of motion in free vibration and the orthogonality of the normal modes is derived. The theoretical expressions for the displacement response of axially loaded composite beams subjected to concentrated or distributed loads are obtained by using the normal mode method. The method is illustrated by its application to two test examples to demonstrate the effects of bending-torsion coupling and axial force on the dynamic behavior of composite beams. The numerical results for the dynamic bending displacements and torsional displacements are discussed in detail and the accuracy of the solutions is verified.

Key Words: thin-walled closed beams • slender beams • axial force • coupled bending-torsional vibrations • normal mode method

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Journal of Composite Materials, Vol. 38, No. 6, 515-534 (2004)
DOI: 10.1177/0021998304040558


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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Jun, L. Articles by Xianding, J. Search for Related Content Social Bookmarking                   What's this?