Abstract

The study involves an approximate analysis of non-linear, non-stationary vibrational systems subjected to an arbitrary pulse excitation. The non-stationary system parameters, which may include masses, restoring forces, material properties or damping, are considered to be slowly varying functions of time. A general procedure for obtaining the first and the second order approximate solutions is presented through an application of the Bogoliubov-Mitropolsky technique. Illustrative examples are included and the results are compared with fourth-order Runge-Kutta numerical solutions.

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