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Earthquakes and Structures Volume 7, Number 2, August 2014 , pages 119-139 DOI: https://doi.org/10.12989/eas.2014.7.2.119 |
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Efficient MCS for random vibration of hysteretic systems by an explicit iteration approach |
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Cheng Su, Huan Huang, Haitao Ma and Rui Xu
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| Abstract | ||
| A new method is proposed for random vibration anaylsis of hysteretic systems subjected to non-stationary random excitations. With the Bouc-Wen model, motion equations of hysteretic systems are first transformed into quasi-linear equations by applying the concept of equivalent excitations and decoupling of the real and hysteretic displacements, and the derived equation system can be solved by either the precise time integration or the Newmark-B integration method. Combining the numerical solution of the auxiliary differential equation for hysteretic displacements, an explicit iteration algorithm is then developed for the dynamic response analysis of hysteretic systems. Because the computational cost for a large number of deterministic analyses of hysteretic systems can be significantly reduced, Monte-Carlo simulation using the explicit iteration algorithm is now viable, and statistical characteristics of the non-stationary random responses of a hysteretic system can be obtained. Numerical examples are presented to show the accuracy and efficiency of the present approach. | ||
| Key Words | ||
| random vibration; non-stationary; hysteretic systems; explicit iteration method; monte-carlo si-mulation method | ||
| Address | ||
| Cheng Su, Huan Huang, Haitao Ma and Rui Xu: School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, P. R. China Cheng Su and Haitao Ma: State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, P. R. China | ||