Stability of the response of an articulated loading platform under regular wave, modeled as a SDOF nonlinear oscillator, is investigated. Relative velocity square drag force for harmonic wave appearing in the right hand side of the equation of motion is mathematically treated to bring the velocity dependent nonlinear hydrodynamic damping term to the left hand side of the equation of motion. Use of these two techniques makes the equation of motion amenable to the application of method IHBC. In order to trace different branches of the response curve and investigate different instability phenomena that may exist, the commonly used incremental harmonic balance method (IHB) is modified and integrated with an arc-length continuation technique to develop into incremental harmonic balance continuation (IHBC) method. Further, a technique for treating the nonlinear hydrodynamic damping term using a concept of distribution theory has been developed. The stability of the solution is investigated by the Floquet theory using Hsu’s scheme. The stable solutions obtained by the IHBC method are compared with those obtained by the numerical integration of equation of motion wherever applicable.
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January 2008
Research Papers
Stability Analysis of an Articulated Loading Platform in Regular Sea
A. K. Banik,
A. K. Banik
Department of Civil Engineering,
e-mail: akbanik@gmail.com
National Institute of Technology
, Silchar, Silchar 788010, India
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T. K. Datta
T. K. Datta
Department of Civil Engineering,
Indian Institute of Technology
, Delhi, Hauz Khas, New Delhi 110016, India
Search for other works by this author on:
A. K. Banik
Department of Civil Engineering,
National Institute of Technology
, Silchar, Silchar 788010, Indiae-mail: akbanik@gmail.com
T. K. Datta
Department of Civil Engineering,
Indian Institute of Technology
, Delhi, Hauz Khas, New Delhi 110016, IndiaJ. Comput. Nonlinear Dynam. Jan 2008, 3(1): 011013 (9 pages)
Published Online: December 12, 2007
Article history
Received:
October 31, 2006
Revised:
June 12, 2007
Published:
December 12, 2007
Citation
Banik, A. K., and Datta, T. K. (December 12, 2007). "Stability Analysis of an Articulated Loading Platform in Regular Sea." ASME. J. Comput. Nonlinear Dynam. January 2008; 3(1): 011013. https://doi.org/10.1115/1.2815332
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