Paper Title:

Large Amplitude Vibration Analysis of Composite Beams under Thermal Stresses: Closed-Form Solutions

Periodical Applied Mechanics and Materials (Volume 245)
Main Theme Biomechanics, Neurorehabilitation, Mechanical Engineering, Manufacturing Systems, Robotics and Aerospace
Chapter Chapter 2: Mechanical Engineering
Edited by Adrian Olaru
Pages 144-149
DOI 10.4028/
Citation Ali Reza Daneshmehr et al., 2012, Applied Mechanics and Materials, 245, 144
Online since December, 2012
Authors Ali Reza Daneshmehr, Mostafa Mohammad Abadi, Meisam Soleimani
Keywords Composite Beam, Coupled Displacement Field, Linear Frequency, Nonlinear Frequency, Rayleigh-Ritz Method
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In This study , the large amplitude vibration analysis of laminated composite beam under thermal stress with axially fixed ends is investigated with symmetric and asymmetric layup orientations by using the Rayleigh–Ritz (R–R) method. An exhaustive set of beam boundary condition are studied, namely, hinged-hinged, clamped-clamped, hinged- clamped, hinged-guided and clamped-guided beam in order to prove the efficacy of the present formulation. The composite beam is studied in this paper based on Euler-Bernoulli assumption together with von-Karman’s strain-displacement relation. The simple and efficient closed-form solutions are obtained for the nonlinear harmonic radian frequency as function of central amplitude of the beam using the R–R method. Comparison between results of the present study and those available in literature shows the accuracy of presented closed-form solutions.

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