RESPONSE OF DUFFING OSCILLATOR UNDER NARROW-BAND RANDOM EXCITATION

Abstract

Nonlinear, dynamic systems subject to random excitations are frequently met in engineering practice. The source of randomness can vary from surface randomness in vehicle motion and environmental changes, such as earthquakes or wind exciting high rise buildings or wave motions at sea exciting ofshore structures or ships, to electric or acoustic noise exciting mechanical structures. The research goals are, firstly, the computation of stochastic, nonlinear response characteristics (with accuracy and efficiency as important criteria) and, secondly, the investigation and thorough understanding of stochastic, nonlinear response phenomena. The desire to compute response characteristics, such as the power spectral density of the response of these systems, leads to the development of methods that can be used to approximate this response. The excitations, that will be studied, are stationary, Gaussian processes.