Abstract
This paper first demonstrates that the accuracy and efficiency of the method of numerical simulation often used is not very high in predicting the slow drift surge extreme responses of a compliant offshore structure. Next, the slow drift surge extreme responses of the structure are analyzed via the path integral solution (PIS) method, and the accuracy and efficiency of the PIS method is found to be higher than those of the numerical simulation method. A compound PIS (CPIS) method is first proposed in this article to further improve the efficiency of the path integral solution method, and the accuracy and efficiency of the CPIS method is validated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Shinozuka M., Deodatis G.: Simulation of stochastic processes by spectral representation. Appl. Mech. Rev. ASME 44(4), 191–204 (1991)
Wang Y.G., Tan J.H.: A review of various methods of response analysis for nonlinear marine structures under random excitations. Ocean Eng. 25(4), 112–119 (2007) (in Chinese)
Wang Y.G., Liu X.J., Tan J.H.(2007). Calculation of the level crossing rates of a random oscillation system by time domain simulation. J. Vib. Shock 26(2), 37, 38 & 55 (2007) (in Chinese)
Wang Y.G., Xue L.P., Tan J.H.: Surge response of a compliant offshore structure by time domain simulation. J. Shanghai Jiao Tong Univ. 12E(6), 838–844 (2007)
Yu J.S., Cai G.Q., Lin Y.K.: A numerical path integration procedure based on Gauss Legendre scheme. Int. J. Nonlin. Mech. 4, 759–768 (1997)
Xie W.X., Xu W., Cai L.: Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations. Appl. Math. Comput. 171(2), 870–884 (2005)
Wang, Y.G., Tan, J.H.: Path integral solution of a strongly nonlinear stochastic oscillation system. J. Vib. Shock 26(11), 153–155, 162 (2007) (in Chinese)
Naess A., Moe V.: Efficient path integration methods for nonlinear dynamic systems. Probab. Eng. Mech. 15, 221–231 (2000)
Devore J.L.: Probability and Statistics for Engineering and Sciences, 6th edn. China Machine Press, Beijing (2005)
Wang, Y.G.: Research on slow drift extreme response and stability of ocean structures in random seas. Ph.D. dissertation, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University (2008) (in Chinese)
Naess A., Johnson J.M.: Response statistics of nonlinear, compliant offshore structures by the path integral solution method. Probab. Eng. Mech. 8, 91–106 (1993)
Roberts J.B.: Nonlinear analysis of slow drift oscillations of moored vessels in random seas. J. Ship. Res. 25(2), 130–140 (1981)
Borgman, L.E.: Ocean wave simulation for engineering design. Journal of the Waterways and Harbors Division. In: Proceedings of the American Society of Civil Engineers, WW4, pp. 557–583 (1969)
Lin Y.K.: Probabilistic Theory of Structural Dynamics. McGraw-Hill, New York (1967)
Einstein A., Furth R., Cowper A.D.: Investigations on the Theory of the Brownian Movement. E.P. Dutton & Co., New York (1926)
Lin Y.K., Cai G.Q.: Probabilistic Structural Dynamics. Advanced Theory and Applications. McGraw-Hill Professional, New York (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Y., Tan, J. Nonlinear analysis of slow drift extreme responses of a compliant offshore structure. Acta Mech Sin 25, 651–657 (2009). https://doi.org/10.1007/s10409-009-0238-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-009-0238-6