Abstract
Method of Equivalent Linearization as extended by Atalik and Utku, Spanos and others and the Cumulant-Neglect closure scheme originally developed by Ibrahim and Wu-Lin are utilized for the random vibration analysis of three nonlinear systems: A Duffing oscillator; A system with a set-up spring and a general hysteretic system. It is shown that the differential equations for the moments derived by this closure scheme are identical to the covariance matrix equations obtained from equivalent linearization. This comparison is made both analytically and also through numerical studies. Response statistics obtained by these two techniques are then compared with Monte Carlo simulation and/or the available exact solutions. A comparison is also made with other closure techniques. The advantages of each of the two techniques are discussed. Suggestions are made for further investigation in this area.
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