High efficiency computation of the variances of structural evolutionary random responses

Article type: Research Article

Authors: J.H. Lin, | D.K. Sun, | W.X. Zhong, | W.S. Zhang,

Affiliations: State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China | Dept of Civil and Structural Engineering, Hong Kong Polytechnic University, Kowloon, Hung Hom, Hong Kong

Abstract: For structures subjected to stationary or evolutionary white/ colored random noise, their various response variances satisfy algebraic or differential Lyapunov equations. The solution of these Lyapunov equations used to be very difficult. A precise integration method is proposed in the present paper, which solves such Lyapunov equations accurately and very efficiently.

Journal: Shock and Vibration, vol. 7, no. 4, pp. 209-216, 2000