Natural frequency splitting characteristics of ring-shaped periodic structure under external load
LIU Chen1, WANG Shiyu1,2,3, GAO Nan1
1.School of Mechanical Engineering, Tianjin University, Tianjin 300350, China;
2.Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300350, China;
3.Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300350, China
Abstract:Ring-shaped periodic structure (RSPS) can be found in numerous engineering fields. The external loads are generally considered as forcing terms affecting the forced vibration in the existing literature. Taking the grouping symmetrical configuration as an example, this work examines the effect of the external load on the natural frequency splitting by using Galerkin discretization and energy method. An analytical dynamic model is established by the nonlinear in-extensional assumption and Hamilton’s principle. The eigenvalues are then formulated by classical vibration theory, based on which the influences of the basic parameters of the external loads and the stiffnesses thereof, such as the number of groups, the number of loads, the inclination and interval angles within a group, on the natural frequency spitting are studied. The similarities between the spitting behaviors induced by the external loads and stiffness are presented. Based on the analytical results, a method is proposed to suppress the natural frequency splitting through adjusting the topology and basic parameters, and the suppression is studied by numerical calculations.
Key words: ring-shaped periodic structure; external load; support stiffness; grouping symmetry; natural frequency splitting
刘晨1,王世宇1,2,3,高楠1. 外载作用下环状周期结构固有频率分裂特性研究[J]. 振动与冲击, 2022, 41(21): 257-264.
LIU Chen1, WANG Shiyu1,2,3, GAO Nan1. Natural frequency splitting characteristics of ring-shaped periodic structure under external load. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(21): 257-264.
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