Free Vibration Analysis of Rings via Wave Approach

Wang Zhipeng; Liu Wei; Yuan Yunbo; Shuai Zhijun; Guo Yibin; Wang Donghua

doi:10.1155/2018/6181204

Free Vibration Analysis of Rings via Wave Approach

Wang Zhipeng
, Liu Wei
, Yuan Yunbo
, Shuai Zhijun^*
, Guo Yibin
, Wang Donghua

^*Corresponding author for this work

Harbin Engineering University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices 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.

Original language	English
Article number	6181204
Journal	Shock and Vibration
Volume	2018
DOIs	https://doi.org/10.1155/2018/6181204
State	Published - 2018
Externally published	Yes

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10.1155/2018/6181204

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title = "Free Vibration Analysis of Rings via Wave Approach",

abstract = "Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices 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.",

author = "Wang Zhipeng and Liu Wei and Yuan Yunbo and Shuai Zhijun and Guo Yibin and Wang Donghua",

note = "Publisher Copyright: {\textcopyright} 2018 Wang Zhipeng et al.",

year = "2018",

doi = "10.1155/2018/6181204",

language = "英语",

volume = "2018",

journal = "Shock and Vibration",

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T1 - Free Vibration Analysis of Rings via Wave Approach

AU - Zhipeng, Wang

AU - Wei, Liu

AU - Yunbo, Yuan

AU - Zhijun, Shuai

AU - Yibin, Guo

AU - Donghua, Wang

PY - 2018

Y1 - 2018

N2 - Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices 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.

AB - Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices 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.

UR - https://www.scopus.com/pages/publications/85047884120

U2 - 10.1155/2018/6181204

DO - 10.1155/2018/6181204

M3 - 文章

AN - SCOPUS:85047884120

SN - 1070-9622

VL - 2018

JO - Shock and Vibration

JF - Shock and Vibration

M1 - 6181204

ER -

Free Vibration Analysis of Rings via Wave Approach

Abstract

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