This paper presents an analytical modelling technique which uses the direct Liapunov method and classical laminated plate theory to predict the dynamic stability of activated shape memory alloy hybrid composite beams loaded by time-dependent in-plane forces. By solving the plane expansional strain state in the beam-like laminated plate, using the dynamic stability results of conventional laminated plates the dynamic stability conditions for both harmonic forces and Gaussian ergodic forces. Analytical results are presented for angle-ply symmetric beam-like plates to demonstrate how the temperature activation affects the stability regions.
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