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Free Vibration Analysis of Rings via Wave Approach

机译:通过波法分析环的自由振动

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摘要

Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordinationmatrices are derived for the case of a fixed boundary at inner surface and a free boundary at outer surface. Then, assembling these matrices, characteristic equation of natural frequency is obtained. Wave approach is employed to study the free vibration of these ring structures. Natural frequencies calculated by wave approach are compared with those obtained by classical method and Finite Element Method (FEM). Afterwards natural frequencies of four type boundaries are calculated. Transverse vibration transmissibility of rings propagating from outer to inner and from inner to outer is investigated. Finally, the effects of structural and material parameters on free vibration are discussed in detail.
机译:环的自由振动在理论上是通过波动法给出的。首先,基于平面外振动的解,推导了内表面固定边界和外表面自由边界的情况下的传播,反射和协调矩阵。然后,组装这些矩阵,获得固有频率的特征方程。波动法被用来研究这些环结构的自由振动。将通过波动法计算的固有频率与通过经典方法和有限元方法(FEM)获得的固有频率进行比较。然后计算出四种类型边界的固有频率。研究了从外到内以及从内到外传播的环的横向振动传递率。最后,详细讨论了结构和材料参数对自由振动的影响。

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