Vibration and stability analysis of laminated composite plates with hygrothermal effect

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Abstract

In many applications such as marine and nuclear industries, laminated composite plates are subjected to the hygrothermal environment which developed expansion strain in the plate; in such that the expansion strain influence on vibrational behavior of the plate. So in this paper vibration of symmetric laminated composite plates under strain due to moisture and temperature are studied. For analysis, first using the classical theory of plate (thin plate theory) and Newton’s method which the influence of the rotary inertia and shear stresses in the thickness direction are ignored. equations of motion of plate are extracted and then using the energy method, eigenvalue problem is achieved. Then the eigenvalue problem is solved using trigonometric Ritz method and frequencies and mode shapes of plate are calculated. For validation of solving method, the results are compared with results that are presented in some papers by others. Finally the effect of different parameters such as boundary conditions, thermal gradient and percent of moisture, geometrical dimensions of plate and fiber orientation on modal behavior of plate are investigated and the results are presented in some tables and graphs.

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References

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Journal of Solid and Fluid Mechanics
Volume 6, Issue 2
July and August 2016
Pages 155-166

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