A coupled torsional-bending finite element with shear deformations and rotatory inertia for vibration of nonsymmetric thin walled beams axially loaded is developed. The equations of motion are based on Vlasov's theory of thin-walled beams, which are modified to include an axial load. The formulation is also applicable to solid beams. The Hermite cubic polynomials are adopted as shape functions. Mass, elastic stiffness and geometrical stiffness matrices of unsymmetrical cross-section beams are presented. In order to verify the accuracy of this theory and the corresponding beam element developed, a numerical study is presented and compared with the literature and experimental tests. (C) 2011 Elsevier Ltd. All rights reserved.
机构:
Sejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 05006, South KoreaSejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 05006, South Korea
Tan-Tien Nguyen
Lee, Jaehong
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机构:
Sejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 05006, South KoreaSejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 05006, South Korea