Analysis of Nonlinear Free Vibration of Circular Plates With Cut-Outs Using R-Function Method

被引：10

作者：

Avramov, K. V. ^{[1
]}

Tyshkovets, O. ^{[1
]}

Maksymenko-Sheyko, K. V. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Dept Nonstationary Vibrat, UA-61046 Kharkov, Ukraine

[2] Natl Acad Sci Ukraine, Dept Appl Math & Numer Methods, AN Podgorny Inst Mech Engn Problems, UA-61046 Kharkov, Ukraine

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 2010年 / 132卷 / 05期

关键词：

circular plates with cut-outs; R-function method; conjugate modes; multiple scale method; internal resonances; CRITICAL SPEED; RESONANCE; OSCILLATIONS; DISKS;

D O I：

10.1115/1.4001496

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Geometrically nonlinear vibrations of circular plate with two cut-outs are simulated by the von Karman equations with respect to displacements. The combination of the Rayleigh-Ritz method and the R-function method, which allows satisfying all boundary conditions, is applied to obtain the vibration modes of the plate. The nonlinear vibrations are expanded using these vibrations modes. The dynamical system with three degrees of freedom is derived by Galerkin method. The influence of cut-outs size on linear and nonlinear vibrations of the plate is analyzed. For different parameters of cut-outs, different internal resonances occur in the plate. The nonlinear vibrations of the system for different internal resonances are analyzed by multiple scale method. [DOI: 10.1115/1.4001496]

引用

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页码：0510011 / 05100111

页数：11

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