Abstract
An identification technique is devised for SDOF dynamical mechanical systems under random excitations. The system is assumed to be governed by a non-linear equation of motion in general form, in which the restoring force and the dissipative terms are given by arbitrary power functions. Algebraic equations are obtained for the expectations of some suitable excitation and response quantities. It is shown that these equations are valid for any stationary random excitations if the system attains the steady state. Based on these equations, an identification technique has been devised and verified experimentally for white noise and coloured (pink) noise random excitations.
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