On the Equivalent Linearization of Nonlinear Damping Element |q|q in case of Nonsinusoidal Flow Input

In order to calculate the pressure pulsations generated in pipelines in frequency domain, it is necessary to linearize the nonlinear damping element |q|q, under the condition that the flow q througth it is periodic in time, but not sinusoidal. It is the authors' idea for the equivalent linearization in such cases, that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. To show the idea to be reasonable for the present problem, the responses of pressure pulsation in the case of a simple system are calculated by applying several flow input, using three schemes based on this idea. the results obtained by the schemes are all in good agreement with those by Runge-Kutta-Gill method, which confirms this idea to be correct.