Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input

In order to calculate the pressure pulsations in pipelines in the frequency domain, it is necessary to linearize the nonlinear damping elements, under conditions where the flow is periodic in time, but not sinusoidal. The authors have previously proposed an idea for the equivalent linearization in such cases, namely that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. In this paper, the response for the pressure pulsations of a ladder circuit is calculated, by applying several flow inputs, and by using the equivalent to the difference equations to describe the relations of flow and pressure in a pipe element. The obtained results are all in good agreement with those obtained by the Runge-Kutta-Gill method. So the linearization obtained by suing this idea is useful for calculating the pressure pulsations.