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.

本文提出了圆环形板扭转振动的自由振动和传递响应。据作者所知，从波浪的角度来看，很少有关于扭转振动的研究。为此，在本研究中，计算了具有夹固和自由边界的环形板扭转振动的固有频率。将通过波动法获得的固有频率与通过经典方法得出的固有频率进行比较。此外，分析了周期环形模型和斐波那契环形模型的透射率曲线。进行了有限元模拟以验证理论结果。最后，还讨论了内径和长度比对传输响应的影响。