A time-domain mode-expansion method for calculating transient elastic responses of a pontoon-type VLFS |
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Authors: | Masashi Kashiwagi |
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Institution: | (1) Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan, JP |
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Abstract: | A time-domain calculation method is described for elastic responses to arbitrary time-dependent external loads, on the basis
of a general differential equation of second order including the convolution integral related to memory effects in the hydrodynamic
forces. The time-dependent elastic deflection of a structure is represented by a superposition of mathematical modal functions,
and a Galerkin scheme is employed to obtain a linear system of simultaneous differential equations for the amplitude of modal
functions assumed. Special care is paid to numerical accuracy in computing the memory-effect function and the added mass at
infinite frequency. The validity of the numerical results was confirmed through a comparison with time histories of the vertical
deflection measured in an impulsive weight-drop test conducted at the Ship Research Institute and a comparison with existing
numerical results for the same problem. To check the necessity of memory-effect terms, computations using a constant value
for the hydrodynamic damping coefficient were also performed, and practical measures for reducing the computation time are
discussed.
Received: April 12, 2000 / Accepted: August 24, 2000 |
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Keywords: | Very large floating structure Hydroelastic response Time domain Memory effect Convolution integral |
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