A new and easily used state variable method of structural response analysis to random excitations in time domain is developed and its application is illustrated by two numerical examples. The method readily applies to any type of excitations characterized by power spectral densities. The random excitations can be mathematically matched as the outputs of a linear system which has a stationary white-noise process as its input. Then the equations of an augmented system driven by white-noise can be obtained. The algebraic matrix Riccati equation must be solved numerically to obtain the root-mean-square values of structural response. Two numerical examples are illustrated, namely (1) a matched system of random excitation is described, and (2) a root-mean-square value of an airplane in turbulence is calculated.
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