Journal article
On an exact bending curvature model for nonlinear free vibration analysis shear deformable anisotropic laminated beams
Composite structures, Vol.108(1), pp.243-258
02/2014
Handle:
https://hdl.handle.net/2376/108012
Abstract
Geometrically nonlinear free vibration analysis of shear deformable anisotropic laminated composite beams resting on a two-parameter elastic foundation is presented. The material of each layer of the beam is assumed to be linearly elastic and fiber-reinforced. A new nonlinear beam model involving the exact expression of bending curvature is introduced, and the nonlinear vibration analysis with exact nonlinear characteristics of the work done by axial loading is accordingly performed. The governing equations are based on higher order shear deformation beam theory with a von Kármán-type of kinematic nonlinearity and including the bending–stretching, bending–twisting, and stretching–twisting couplings. Two kinds of end conditions, namely movable and immovable, are considered, and a perturbation technique is employed to determine the linear and nonlinear frequencies of a composite beam with or without initial stresses. The frequency response of laminated beams with different geometric and material parameters, end conditions and effect on elastic foundation is numerically illustrated. The results reveal that the geometric and physical properties, end conditions, and elastic foundation effect have a significant influence on large amplitude vibration behavior of anisotropic laminated composite beams.
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Details
- Title
- On an exact bending curvature model for nonlinear free vibration analysis shear deformable anisotropic laminated beams
- Creators
- Zhi-Min Li - School of Mechanical Engineering, Shanghai Key Lab of Digital Manufacture for Thin-Walled Structures, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR ChinaPizhong Qiao - Department of Civil and Environmental Engineering, Washington State University, Pullman, WA 99164-2910, USA
- Publication Details
- Composite structures, Vol.108(1), pp.243-258
- Academic Unit
- Civil and Environmental Engineering, Department of
- Publisher
- Elsevier Ltd
- Identifiers
- 99900546957001842
- Language
- English
- Resource Type
- Journal article