Nonlinear rocking motions. II: Overturning under random excitations

Journal of Engineering Mechanics

Volumn 122, Issue 8, 1996, Pages 728-734

  Lin, H ^b   Yim, S C S ^a,b  

^a ASCE ^*

^b Oregon State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000171051     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(asce)0733-9399(1996)122:8(728)     Document Type: Article

References (17)

1. Aslam, M., Godden, W. G., and Scalise, D. T. (1980). "Earthquake rocking response of rigid bodies." J. Struct. Engrg. Div., ASCE, 106(2), 377-392.
2. Dimentberg, M. F., Lin, Y. K., and Zhang, R. (1993). "Toppling of computer-type equipment under base excitation." J. Engrg. Mech. Div., ASCE, 119(1), 145-160.
3. Hogan, S. J. (1989). "On the dynamics of rigid-block motion under harmonic forcing." Proc., Royal Soc. London A, London, England, 425, 441-476.
4. Iyengar, R. N., and Manohar, C. S. (1991). "Rocking response of rectangular rigid blocks under random noise base excitations." Int. J. Nonlinear Mech., 26, 885-892.
5. Jordan, D. W., and Smith, P. (1987). Nonlinear ordinary differential equations. Oxford University Press, Oxford, England.
6. Koh, A. S. (1986). "Rocking of rigid blocks on randomly shaking foundations." Nuclear Engrg. and Des., 97, 269-276.
7. Lin, H., and Yim, S. C. S. (1996). "Nonlinear rocking motions. I: chaos under noisy periodic excitations." J. Engrg. Mech., ASCE, 122(8), 719-727.
8. Risken, H. (1984). The Fokker-Planck equation: methods of solution and applications. Springer-Verlag, Berlin, Germany.
9. Shinozuka, M. (1971). "Simulation of multivariate and multidimensional random processes." J. Acoustical Soc. of Am., 49, 357-367.
10. Soong, T. T., and Grigoriu, M. (1992). Random vibration of mechanical and structural systems. Prentice-Hall, Englewood Cliffs, N.J.
11. Spanos, P. D., and Koh, A. S. (1986). "Analysis of block random rocking." Soil Dyn. and Earthquake Engrg., 5, 178-183.
12. Stratonovich, R. L. (1967). Topics in the theory of random noise I. Gordon and Breach, New York, N.Y.
13. Wehner, M. F., and Wolfer, W. G. (1983). "Numerical evaluation of pathintegral solutions to Fokker-Planck equations." Physical Rev. A, 27, 2663-2670.
14. Wissel, C. (1979). "Manifolds of equivalent path integral solutions of the Fokker-Planck equation." Zeitschrift für Physiks B, Germany, 35, 185-191.
15. Yim, S. C. S., Chopra, A. K., and Penzien, J. (1980). "Rocking response of rigid blocks to earthquakes." Earthquake Engrg. and Struct. Dyn., 8, 565-587.
16. Yim, S. C. S., and Lin, H. (1991). "Chaotic behavior and stability of free-standing offshore equipment." Oc. Engrg., 18, 225-250.
17. Yim, S. C. S., and Lin, H. (1992). "Probabilistic analysis of a chaotic dynamical system." Applied chaos, J. H. Kim and J. Stringer, ed., John Wiley & Sons, New York, N.Y., 219-241.