Dynamic instability of axially moving viscoelastic plate

被引：50

作者：

Zhou, Yin-Feng ^{[1
]}

Wang, Zhong-Min ^{[2
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Sch Instrument Sci & Optoelect Engn, Beijing 100191, Peoples R China

[2] Xian Univ Technol, Sch Civil Engn & Architecture, Xian 710048, Shaanxi, Peoples R China

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2019年 / 73卷

基金：

中国国家自然科学基金;

关键词：

Normalized power series method; Divergence speed; Flutter speed; PARAMETRIC RESONANCE; STABILITY; BEAM; VIBRATIONS;

D O I：

10.1016/j.euromechsol.2018.06.009

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper is devoted to the investigation of the transverse vibration and dynamic stability of the axially moving viscoelastic plate with two opposite edges simply supported and other two opposite edges with simply supported or free. By considering the Kelvin-Voigt model of viscoelasticity, the equation of motion of the plate is derived. The normalized power series method is employed to obtain the complex eigen equations for the axially moving viscoelastic plate. The variation relationship between the first three complex frequencies of the system and the dimensionless axially moving speed with different aspect ratio and dimensionless delay time are analyzed. The results show that the dimensionless delay time, axially moving speed as well as the aspect ratio have remarkable effects on dynamic behaviors and stability of the axially moving viscoelastic plate.

引用

页码：1 / 10

页数：10

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