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- W781879428 abstract "A method for obtaining the coefficients of the nonlinear rolling motion equation from roll decay recordings if presented. This method is based on the least squares fit of the numerical solution of the differential equation in the time domain to the experimental data. It appears that the method allows the use of more points than the traditional methods based on the analysis of the maxima of the extinction curve. Moreover, due to the use of the 'exact' solution instead of an approximate solution, obtained through the use of perturbation methods, it exhibits a very high performance in the separation between the linear and the different nonlinear roll damping contributions and between the latter and the nonlinear restoring contributions. The tests on time series confirm the above and show that the method is robust and unbiased even in the presence of 'errors' uniformly or normally distributed. A methodology is also presented for the analysis of the uncertainty level in the estimated parameters given the uncertainty in the experimental roll decay data. Due to the intrinsic difficulty of calculatring the propagation of errors through a complicated nonlinear least squares fit and on the cost of obtaining a statistically significant sample through the repetition of the experiment, this method is based on Monte Carlo simulation." @default.
- W781879428 created "2016-06-24" @default.
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- W781879428 date "1994-01-01" @default.
- W781879428 modified "2023-09-27" @default.
- W781879428 title "A METHOD FOR THE ANALYSIS OF ROLL DECAY CURVES" @default.
- W781879428 hasPublicationYear "1994" @default.
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