A general solution for dynamic response of axially loaded non-uniform Timoshenko beams
作者： N.M Auciello , A Ercolano
DOI: 10.1016/J.IJSOLSTR.2004.04.036
关键词: Bibliography 、 Structural engineering 、 Closed-form expression 、 Timoshenko beam theory 、 Axial symmetry 、 Mathematical analysis 、 Work (thermodynamics) 、 Orthogonal polynomials 、 Finite element method 、 Engineering 、 Inertia
摘要: Abstract A dynamic investigation method for the analysis of Timoshenko beams which takes into account shearing deformation and rotating inertia is proposed. The solution problem obtained through iterative variational Rayleigh–Ritz assuming as test functions an appropriate class orthogonal polynomials respect essential conditions only. procedure, applied to tapered a closed form not known, alternative approach usual FEM methodologies used in literature. small number Lagrangean parameters needed allows use strict symbolic calculation programs obtaining high numerical accuracy with relative short computer time. work ends few examples results are compared ones from other authors mentioned bibliography.
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