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- W2085491676 abstract "In this paper an algorithm is developed for the accurate and efficient computation of the response of a linear SDOF, subjected to an arbitrary excitation, known deterministically as a set of discrete ordinates sampled uniformly in time. Bounded local truncation error estimates have been established, and indicate that the algorithm has the same order of relative error as currently published methods, whilst requiring far fewer multiplications per time step. Furthermore, two recursive algorithms have been developed for the rapid computation of the response spectrum defined uniquely by the given exciting time history. Both algorithms provide accurate estimates of response ordinates in sensitive regions of the spectra, while avoiding the calculation of large numbers of spectral values in areas showing only minor irregularities. Estimates of error bounds have been derived for each method. Finally, results from the algorithms presented in this paper have been compared to closed solutions for SDOF having homogeneous initial conditions. The results indicate a good agreement within the expected tolerance." @default.
- W2085491676 created "2016-06-24" @default.
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- W2085491676 date "1990-01-01" @default.
- W2085491676 modified "2023-09-23" @default.
- W2085491676 title "Algorithms for the rapid computation of response of an oscillator with bounded truncation error estimates" @default.
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- W2085491676 doi "https://doi.org/10.1016/0020-7403(90)90014-a" @default.
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