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Nonlinear random response of antisymmetric angle-ply laminates under thermal-acoustic loading. (English) Zbl 1049.74624

Summary: The purpose of this investigation is to study the random vibration behavior (including snap-through) of a thermally buckled composite plate. Five different time domain simulation methods and two equivalent linearization solutions were used to determine the mean-square response for a single-degree-of-freedom thin plate model. For the special case of a flat (non-buckled) plate, results were found to be in good agreement with the exact Fokker-Planck-Kolmogorov solution. The time domain results demonstrate that the solution is highly dependent on step size, the numerically simulated loading, damping, simulation time and the numerical integration method. For the present study, second order methods were found to perform as well as fourth order methods. The relatively new, modified leapfrog numerical integration method was found to be the most computationally efficient. Equivalent linearization solutions were also found to be satisfactory, even for snap-through motion.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
74E30 Composite and mixture properties
74F05 Thermal effects in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
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