Random vibration of strongly nonlinear systems

Procedures developed recently to extend the quasi-conservative averaging me thod to the case of non-white broad-band excitations are further extended a nd presented in a unified framework. The excitations can be stationary or n onstationary with known evolutionary spectra, and they can be additive, or multiplicative, or both. Relative merits of these procedures are compared, and their accuracies are substantiated by Monte Carlo simulations.