Modal Analysis of Laminated Composite Beams Based on Elastic Wave Theory

Xue Jing Shen; Jiao Xia Lan; Xiao Rong Yang; Fang Ji

doi:10.4028/www.scientific.net/AMM.151.275

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 151Modal Analysis of Laminated Composite Beams Based...

Modal Analysis of Laminated Composite Beams Based on Elastic Wave Theory

Abstract:

The reverberation ray matrix method (MRRM) for analyzing dynamic response of elastic trusses is extended and used to solve the natural frequency and vibration mode of laminated beams. In this study, the MRRM is employed to obtain the frequency response function (FRF) of displacement of a laminated beam under the action of a unit impulse load. The natural frequencies are determined from the peak of the curve of FRF when a resonant frequency is approached. And the mode is retrieved from the ad joint matrix of the coefficient matrix of the governing equations of MRRM. The accuracy of result of MRRM is verified by a simply supported symmetrically laminated beam compared with the analytical solution of classical theory, which is also proved by finite element method (FEM).

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Periodical:

Applied Mechanics and Materials (Volume 151)

Pages:

275-280

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.151.275

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Online since:

January 2012

Authors:

Xue Jing Shen, Jiao Xia Lan, Xiao Rong Yang, Fang Ji

Keywords:

Laminate Composite Beams, Method of Reverberation Ray Matrix, Natural Frequency, Vibration Mode

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