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Thermally-induced transverse displacement of unidirectional ply, cross-ply and anti-symmetric angle-ply composite plate is investigated. The laminates are assumed to be simply supported along the four edges. The dynamic flexural response due to sudden surface heating is examined, with emphasis on the effects of plate thickness and stacking sequence on the maximum plate deflection of a graphite-epoxy composite. The total displacement is obtained by superposition of the first mode quasi-static and dynamic solutions. The quasi-static displacement is derived using a Levy-type solution while the dynamic displacement is formulated by utilizing the Classical Lamination Theory (CLT), Galerkin's Method and the Laplace Transform. The results show that thermally-induced displacements in unidirectional and cross-ply laminates for the same thickness are far less than those in angle-ply laminates.

This paper is concerned with the dynamic stability and response of an inclined Euler–Bernoulli beam under a moving mass and a moving follower force. The extended Hamilton’s principle is used to derive the governing equation of motion and the boundary conditions for this general moving load/force problem. Considering a simply supported beam, one can solve the problem analytically by approximating the spatial part of the deflection with a Fourier sine series. Based on the formulation and method of solution, sample dynamic responses are determined for a beam that is inclined at 30${}^{\circ }$ with respect to the horizontal. It is shown that the dynamic response of the beam under a moving mass is rather different from an equivalent moving follower force. Also investigated herein are the dynamic stability of inclined beams under moving load/follower force which are described by four key variables, viz. the speed of the moving mass/follower force, concentrated mass to the beam distributed mass, vibration frequency and the magnitude of the moving mass/follower force. The critical axial load and the critical follower force are different when they are located at different positions in the beam; except for the special case when they are at the end of the beam.