Matrix-based Chebyshev spectral approach to dynamic analysis of non-uniform Timoshenko beams

NCUIR > Engineering College > Departmant of Mechanical Engineering > journal & Dissertation > Item 987654321/50248

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/50248

Title:	Matrix-based Chebyshev spectral approach to dynamic analysis of non-uniform Timoshenko beams
Authors:	Wang,WY;Liao,JY;Hourng,LW
Contributors:	機械工程學系
Keywords:	FREE-VIBRATION;ATTACHMENTS;STIFFNESS;FORCE;MASS;END
Date:	2011
Issue Date:	2012-03-27 17:07:36 (UTC+8)
Publisher:	國立中央大學
Abstract:	A Chebyshev spectral method (CSM) for the dynamic analysis of non-uniform Timoshenko beams under various boundary conditions and concentrated masses at their ends is proposed. The matrix-based Chebyshev spectral approach was used to construct the spectral differentiation matrix of the governing differential operator and its boundary conditions. A matrix condensation approach is crucially presented to impose boundary conditions involving the homogeneous Cauchy conditions and boundary conditions containing eigenvalues. By taking advantage of the standard powerful algorithms for solving matrix eigenvalue and generalized eigenvalue problems that are embodied in the MATLAB commands, chebfun and eigs, the modal parameters of non-uniform Timoshenko beams under various boundary conditions can be obtained from the eigensolutions of the corresponding linear differential operators. Some numerical examples are presented to compare the results herein with those obtained elsewhere, and to illustrate the accuracy and effectiveness of this method.
Relation:	STRUCTURAL ENGINEERING AND MECHANICS
Appears in Collections:	[Departmant of Mechanical Engineering ] journal & Dissertation

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