Frequency-Domain-Based Nonlinear Response Analysis of Stationary Ring Displacement of Noncontact Mechanical Seal

Dynamic characteristics affect the operational reliability of noncontacting mechanical seals, which involves the complex relationship between the system of noncontact mechanical seals, excitation, and response. Hence, it is one of the hot topics of current research. However, domestic and foreign scholars mainly calculate the response in the time domain by establishing a linear dynamic model so that the response results can be used for system stability and tracking analysis. In this study, according to the harmonic excitation, the stationary ring’s output response was expressed via the famous Volterra series and solved with a new method, which can be used to analyze the frequency response and to calculate the displacement response of the stationary ring with single and double harmonic excitation. Based on the analysis of the response results, the parameter (stationary ring mass, axial damping, stiffness, etc.) selection scheme of noncontact mechanical seals at high and low frequencies was obtained.