The efficiency of some recently developed integration schemes, namely, Hilber’s ∝-method, collocation schemes and large time step integration schemes developed by Argyris, is evaluated by applying them to the response analysis of an idealized offshore tower. The tower is fixed at the base, having an additional mass at the top. For the analysis the tower has been modeled as an assemblage of 2-D beam elements. The dynamic degrees of freedom at each node are taken as those corresponding to the rotational and sway degrees of freedom. Using the normal mode theory the equations of motion have been decoupled except for the generalized loading vector which appear nonlinearly coupled, thus requiring iterative solution at every time step. The results of the study show that the large time step integration schemes developed by Argyris are more efficient than other integration methods considered here.
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March 1983
Research Papers
On the Efficiency of Some Recently Developed Integration Algorithms for Offshore Problems
T. K. Datta,
T. K. Datta
Department of Civil Engineering, Indian Institute of Technology, Delhi, New Delhi, India
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A. M. Sood
A. M. Sood
Department of Civil Engineering, Indian Institute of Technology, Delhi, New Delhi, India
Search for other works by this author on:
T. K. Datta
Department of Civil Engineering, Indian Institute of Technology, Delhi, New Delhi, India
A. M. Sood
Department of Civil Engineering, Indian Institute of Technology, Delhi, New Delhi, India
J. Energy Resour. Technol. Mar 1983, 105(1): 73-77 (5 pages)
Published Online: March 1, 1983
Article history
Received:
July 8, 1981
Revised:
May 17, 1982
Online:
October 22, 2009
Citation
Datta, T. K., and Sood, A. M. (March 1, 1983). "On the Efficiency of Some Recently Developed Integration Algorithms for Offshore Problems." ASME. J. Energy Resour. Technol. March 1983; 105(1): 73–77. https://doi.org/10.1115/1.3230883
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