- Volume 10 Issue 4
A piecewise-linear system is utilized to model the offshore mooring system. The approximated piecewise-linear restoring force is obtained to be compared with the analytically derived restoring force of a mooring system. Two systems are compared to verify the applicability of the piecewise-linear system to evaluate responses of the mooring system. Using the piecewise-linear system, the response behaviors of mooring systems are examined under various excitations. Nonlinearity of the system and effects of both system and excitation parameters are intensively examined. System responses are identified mainly by observing Poincare maps. The mooring system is found to have various types of responses such as regular harmonic, subharmonic and complex nonlinear behaviors, including chaos by utilizing a piecewise-linear system. Various values of parameters are applied to determine the effects of parameters upon system responses. Response domains are determined by establishing parametric maps.
- Applied Ocean Research v.4 no.2 Comparison of Treatments of Non-linear Drag Forces Acting on Fixed Offshore Platforms Dao, B. V.;Penzien, J.
- Water Wave Mechanics for Engineers and Scientists Dean, R. G.;Dalrymple, R. A.
- Applied Numerical Analysis. 4th Ed. Gerald, C. F.;Wheatley, P. O.
- Applied Ocean Research v.14 Nonlinear Oscillations, Bifurcations and Chaos in a Multi-Point Mooring System with a Geometric Nonlinearity Gottlieb, Oded;Yim, Solomon C. S.
- Journal of Fluids and Structures v.3 Dynamic Behavior of Offshore Structures with Bilinear Stiffness Huang, Y. M.;Krousgrill, C. M.;Bajaj, A. K.
- An Introduction for Applied Scientists and Engineeris Chaotic Vibrations Moon, F. C.
- Nonlinear Oscillations Nayfeh, A. H.;Mook, D. T.
- Mechanics of Wave Forces on Off-shore Structures Sarpkaya, T.;Isaacson, M.
- Physical Review A. v.28 no.1 Chaos in Piece-wise-Linear Systems Schulman, J. N.
- Journal of Sound and Vibration v.90 no.1 periodically Forced Piecewise Linear Oscillator Shaw, S. W.;Holmes, P. J.
- Journal of Applied Mathematics v.31 Subharmonic Resonances and Chaotic Motions of Bilinear-Oscillator Thompson, J. M. T.;Bokaian, A. R.;Ghaffari, R.
- Journal of Energy Resources Technology v.106 Subharmonic and Chaotic Motions of Compliant Offshore Structures and Articulated Mooring Towers Thompson, J. M. T.;Bokaian, A. R.;Ghaffari, R.
- Nonlinear Dynamics and Chaos Thompson, J. M. T.;Stewart, H. B.