Optimal control strategy of stochastic dynamical systems with MR damping

被引：0
|
作者：
Peng Y. [1 ,2 ]
Li J. [1 ]
机构：
[1] State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University
[2] Shanghai Institute of Disaster Prevention and Relief, Tongji University
来源：
Tongji Daxue Xuebao/Journal of Tongji University | 2010年 / 38卷 / 02期
关键词：
Bounded Hrovat control algorithm; Dynamic programming; Generalized density evolution equation; Magnetorheological damper; Stochastic optimal control;
D O I：
10.3969/j.issn.0253-374x.2010.02.003
中图分类号：
学科分类号：
摘要：
This paper presents a bounded Hrovat semi-active control strategy providing the adequate performance control of general stochastic dynamical systems. It hinges on the generalized density evolution equation recently developed to reveal the intrinsic relationship between the physical mechanism and probability density evolution of systems. An earthquake-excited system controlled by a magnetorheological (MR) damper is investigated for illustrative purpose, of which two parameters are laid down, i. e. damping coefficient and maximum Coulomb force, according to the criterion of system second-order statistics evaluation and perfectly tracing the optimal active control forces. Numerical results reveal that the appropriately designed semi-active controller can achieve almost the same effect of the active controller in the probabilistic sense. The example further proves that the advocated semi-active control strategy can prompt the dynamic damping performance of the MR damper, behaving as a type-like Bouc-Wen model with the strength deterioration, stiffness degradation and pinch effect.
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页码：164 / 169+177
相关论文
共 12 条
  • [1] Housner G.W., Bergman L.A., Caughey T.K., Et al., Structural control: past, present, and future, Journal of Engineering Mechanics., 123, 9, (1997)
  • [2] Dyke S.J., Spencer Jr. B.F., Sain M.K., Et al., Modeling and control of magnetorheological dampers for seismic response reduction, Smart Materials and Structures, 5, (1996)
  • [3] Ying Z.G., Zhu W.Q., Soong T.T., A stochastic optimal semi-active control strategy for ER/MR dampers, Journal of Sound and Vibration, 259, 1, (2003)
  • [4] Li J., Peng Y.B., Chen J.B., A physical approach to structural stochastic optimal controls, Probabilistic Engineering Mechanics, 25, (2010)
  • [5] Li J., Chen J.B., The principle of preservation of probability and the generalized density evolution equation, Structural Safety, 30, 1, (2008)
  • [6] Li J., Chen J.B., Stochastic Dynamics of Structures, (2009)
  • [7] Hrovat D., Barak P., Rabins M., Semi-active versus passive or active tuned mass dampers for structural control, Journal of Engineering Mechanics, 109, 3, (1983)
  • [8] Li J., Ai X., Study on random model of earthquake ground motion based on physical process, Earthquake Engineering and Engineering Vibration, 26, 5, (2006)
  • [9] Peng Y., Chen J., Liu W., Et al., Stochastic seismic response and aseismic reliability assessment of base-isolated structures, Journal of Tongji University: Natural Science, 36, 11, (2008)
  • [10] Chen J.B., Li J., Strategy for selecting representative points via tangent spheres in the probability density evolution method, International Journal for Numerical Methods in Engineering, 74, 13, (2008)
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