Evaluating some important responses of the structures using rayleigh damping and constant damping by time history method

Abstract

Damping matrix in dynamic problem has a direct influence on the calculation results of important structural responses. To facilitate the determination of the damping matrix, the Rayleigh damping model is frequently employed. Nevertheless, when Rayleigh damping are applied in practice, the analysis results show that Rayleigh damping may offer some values deviating from reality. This study aims to evaluate the error of some important responses of the structures, including peak displacement and base shear force when using Rayleigh damping compared to constant damping, which is close to reality. The responses of the survey models were dynamically analyzed over time history through the Newmark numerical method. The results of the survey shows that the average absolute error of the peak displacement and the base shear force between the Rayleigh damping model and the constant damping model is very large. The highest peak displacement error value is 13.22 % and the maximum base shear error value is 34.98 %.