Modal And Frequency Response Analysis of Composite Unidirectional Thick Beam Using Finite Element Timoshenko and Euler-Bernoulli Beam Models
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Abstract
The Timoshenko beam and the Euler-Bernoulli beam models are adopted in this purpose study for modal and frequency response analysis of unidirectional composite thick cantilever beam (Single thick composite layer forms the beam). The shear deformation effect is the main parameter taken in this study where Timoshenko beam model results are compared to those of the Euler-Bernoulli beam model. The first part of this study is consecrated to determinate the mode shapes and their associate naturel frequencies of the cantilever beam for various shear deformation values by using the finite element method. The mode shapes and their naturel frequencies results for the unidirectional layer composite cantilever beam are validated with DSM (Dynamic Stiffness Method) published results. The frequency response analysis of an impulse force of both models is illustrated, in the second part using a MATLAB@ program.
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