A dual criterion of equivalent linearization method for nonlinear systems subjected to random excitation

• Published in: Acta mechanica Vol. 223; no. 3; pp. 645 - 654
• Main Authors: Anh, N. D., Hieu, N. N., Linh, N. N.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.03.2012; Springer; Springer Nature B.V
• Subjects: Approximation; Classical and Continuum Physics; Control; Criteria; Dynamical Systems; Engineering; Engineering Thermodynamics; Equivalence; Heat and Mass Transfer; Linearization; Mathematical models; Mechanical engineering; Nonlinear dynamics; Nonlinear systems; Random excitation; Solid Mechanics; Theoretical and Applied Mechanics; Vibration; Energy Method; Random Excitation; Equivalent Linearization; White Noise Excitation; Linearization Method

A dual criterion of equivalent linearization method is suggested. The mean-square responses of Duffing, Van der Pol and Lutes-Sarkani oscillators subjected to random excitation are considered. The obtained results are compared with the numerical calculations of original systems and approximate solut...