Stochastic responses of multi-degree-of-freedom uncertain hysteretic systems

Issue title: 2nd International Conference on Vibro-Impact Systems (ICoVIS), Sanya, China, 6–9 January, 2010

Article type: Research Article

Authors: Zhang, Yimin

Affiliations: School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China

Note: [] Corresponding author. E-mail: [email protected]

Abstract: On the basis of the Bouc-Wen hysteretic model, the effective numerical method for the response of nonlinear multi-degree-of-freedom (MDOF) stochastic hysteretic systems is presented using second moment method. Using this method, the mean values, variances and covariances are computed. The Monte Carlo simulation is applied to validate the method. The results obtained by the two methods are contrasted, and the solutions of the method in this paper agreed very well with the Monte Carlo simulation. It has solved the random response of nonlinear stochastic vibration systems which is caused by the stochastic hysteretic loop itself.

DOI: 10.3233/SAV-2010-0581

Journal: Shock and Vibration, vol. 18, no. 1-2, pp. 387-396, 2011