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- W1972950508 abstract "The primary purpose of the paper is to present two options of a frequency-domain method for the accurate multi-harmonic analysis of SDOF systems with drag nonlinearity. The fluid loading due to waves and current is taken as periodic and the desired number of displacement harmonics are found by the Newton-Raphson method. The first option, called the multi-diagonal Jacobian method (MDJM), uses essentially the full Jacobian. The second option, termed the artificial damping method (ADM), uses only the main diagonal of the Jacobian. Both the alternatives have been found to have excellent convergence properties and allow iterations to start either with a null vector or with one based on the linearized solution. With the same computational parameters the two options provide almost identical solutions in about the same number of iterations. However, the computational effort per iteration required by the ADM is only a fraction of that for the MDJM, which makes it the method of choice. The methods have been validated against the results of the Runge-Kutta-Nystrom time integration and also by monitoring the residual load. The use of the ADM to the analysis of MDOF systems in physical coordinates has also been outlined." @default.
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- W1972950508 date "1996-08-01" @default.
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- W1972950508 title "Use of artificial damping for accurate evaluation of response under periodic wave loading" @default.
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- W1972950508 doi "https://doi.org/10.1016/s0141-1187(96)00027-2" @default.
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