Free Vibration and Transmission Response Analysis for Torsional Vibration of Circular Annular Plate

Abstract

In this paper, free vibration and transmission response for the torsional vibration of circular annular plate are presented. To the author’s knowledge, few studies can be found for the torsional vibration from wave standpoint. For this purpose, in this study, natural frequencies for the torsional vibration of annular plate with clamped–clamped and free–free boundaries are calculated. The natural frequencies obtained by wave approach are compared with those derived by the classical method. Furthermore, transmissibility curves of the periodic annular model and Fibonacci annular model are analyzed. The finite element simulations are carried out to verify the theoretical results. Finally, the influence of inner radius and length ratio on the transmission response is also discussed. The obtained results are useful for the torsional vibration reduction of machinery structures.

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“…Because the structure of the upper case is simple, it is easy to adjust the parameters during simulation. According to the results, the frequency and mode shape of the upper case on the chassis can be matched well, indicating that the simulation parameter settings are consistent with the real situation [46,47]. It can be seen from the results that the vibrating position corre- sponding to the low-order natural frequency is the edge of the upper case, while the violent vibrating position corresponding to the high-order natural frequency is the middle part of the upper case.…”