Stochastic optimal control of hysteretic systems under externally and parametrically random excitations

Acta Mechanica Solida Sinica

Volumn 16, Issue 1, 2003, Pages 61-66

  Ying, Zuguang ^a   Zhu, Weiqiu ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Hysteretic systems; Random vibration; Stochastic averaging; Stochastic optimal control

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFUSION; DYNAMIC PROGRAMMING; NONLINEAR SYSTEMS; RANDOM PROCESSES;

HYSTERETIC SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0037363855     PISSN: 08949166     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Housner,G.W. and Bergman,L.A., et al., Structural control: past, present, and future, ASCE J. Engrg. Mech., Vol.123, 1997, 897-971.
2. Sozen,M.A., Hysteresis in structural elements, Appl. Mech. Earthquake Engrg., ASME Annual Meeting, Vol.8, 1974, 63-98.
3. Zhao,S.X. and Kuang,Z.B., An endochronic constitutive model for rate-dependent, nonproportional cyclic plasticity, Acta Mechanica Solida Sinica, Vol.19, 1998, 189-198.
4. Feng,M.H. and Lu,H.X., An elastic-viscoplastic unified constitutive model for deformation, Acta Mechanica Solida Sinica, Vol.22, 2001, 403-408.
5. Wen,Y.K., Method for random vibration of hysteretic systems, ASCE J. Engrg. Mech. Div., Vol.102, 1976, 249-263.
6. Wang,J. and Lin,J.H., Seismic random response analysis of non-linear hysteretic systems with pseudo excitation method, Acta Mechanica Solida Sinica, Vol.22, 2001, 23-30.
7. Lin,Y.K. and Cai,G.Q., Probabilistic Structural Dynamics: Advanced Theory and Application, New York: McGraw Hill, 1995.
8. Yan,Y.J. and Jiang,J.S., et al., The mechanical model of smart composite structure for active control vibration, Acta Mechanica Solida Sinica, Vol.19, 1998, 64-68.
9. Wang,D.H., Method for control of flexible beam's transverse vibration with semi-active stayed-cable, Acta Mechanica Solida Sinica, Vol.21, 2000, 271-276.
10. Yang,J.N. and Agrawal,A.K., et al. Optimal polynomial control for seismically excited non-linear and hysteretic structures, Earthquake Engrg. Struct. Dyn., Vol.25, 1996, 1211-1230.
11. Zhu,W.Q. and Ying,Z.G., Optimal nonlinear feedback control of quasi-Hamiltonian systems, Sci. China, Seris A, Vol.42, 1999, 1213-1219.
12. Zhu,W.Q., Ying,Z.G. and Soong,T.T., An optimal nonlinear feedback control strategy for randomly excited structural systems, Nonlinear Dyn., Vol.24, 2001, 31-51.
13. Zhu,W.Q. and Lin,Y.K., Stochastic averaging of energy envelope, ASCE J. Engrg. Mech., Vol.117, 1991, 1890-1905.
14. Stengel,R.F., Stochastic Optimal Control, New York: John Wiley & Sons, 1986.
15. Cai,G.Q. and Lin,Y.K., Random vibration of strongly nonlinear systems, Nonlinear Dyn., Vol.24, 2001, 3-15.
16. Jansen,L.M. and Dyke,S.J., Semiactive control strategies for MR dampers: comparative study, ASCE J. Engrg. Mech., Vol.126, 2000, 795-803.