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CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS.

Publication ,  Journal Article
Virgin, LN; Bishop, SR
Published in: Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium
January 1, 1988

Consideration of nonlinear effects in the dynamic analysis of offshore structures leads to complex phenomena even for relatively simple deterministic mathematical models. Nonlinearity in the stiffness or restoring force of a structure can be conveniently incorporated into a differential equation of motion which can then be solved either analytically, using perturbation techniques, or numerically for various parameter ranges and forcing conditions. A particular feature of nonlinear dynamics is the appearance of multiple, competing steady-state oscillations which depend crucially on initial conditions. This paper concentrates on the computation of the domains of attraction or catchment regions using numerical techniques based on Poincare mapping ideas. The three specific examples illustrated are the roll motion of a ship, the oscillations of an articulated column and the surge response of a moored semi-submersible.

Duke Scholars

Published In

Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium

Publication Date

January 1, 1988

Volume

2

Start / End Page

15 / 22
 

Citation

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Virgin, L. N., & Bishop, S. R. (1988). CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, 2, 15–22.
Virgin, L. N., and S. R. Bishop. “CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS.Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium 2 (January 1, 1988): 15–22.
Virgin LN, Bishop SR. CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 1988 Jan 1;2:15–22.
Virgin, L. N., and S. R. Bishop. “CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS.Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, vol. 2, Jan. 1988, pp. 15–22.
Virgin LN, Bishop SR. CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 1988 Jan 1;2:15–22.

Published In

Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium

Publication Date

January 1, 1988

Volume

2

Start / End Page

15 / 22