In-plane vibration of a circular ring with arbitrary concentrated elements by an analytical method

被引：9

作者：

Niu, Mingchang ^{[1
]}

Su, Jinpeng ^{[1
]}

Zhang, Zhenguo ^{[1
]}

Hua, Hongxing ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Inst Vibrat Shock & Noise, State Key Lab Mech Syst & Vibrat, Dongchuan Rd 800, Shanghai 200240, Peoples R China

来源：

ARCHIVE OF APPLIED MECHANICS | 2019年 / 89卷 / 11期

关键词：

Vibration characteristics; Circular ring; Concentrated elements; Circumferential wavenumber; FINITE-ELEMENT; ARCHES; BEAMS; MODEL;

D O I：

10.1007/s00419-019-01572-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper investigates the vibration characteristics of a circular ring with an arbitrary number of concentrated elements based on the Hamilton principle. The shear and inertia effects are introduced to the variational functional of system kinetic and potential energy by adopting the generalized shell theory. The concentrated elements are treated as the concentrated masses with elastic boundary condition. The system vibration displacements are analytically expanded in the form of Fourier series and substituted into the variational functional to obtain the equation of motion. Computed results are compared with those solutions obtained from the finite element program ANSYS to validate the accuracy of the present method. Effects of the asymmetrical concentrated elements on the convergence of circumferential wavenumbers are discussed. Moreover, the coupling characteristics of different circumferential wavenumbers caused by the asymmetrical or symmetrical concentrated elements and their influences on the vibration response characteristics of the system under simple harmonic excitations are studied.

引用

页码：2215 / 2228

页数：14

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