Method of R-function for investigation of parametric vibrations of orthotropic plates of complex shape

被引：1

作者：

Kurpa L.V. ^{[1
]}

Mazur O.S. ^{[1
]}

机构：

[1] Kharkiv Polytechnic Institute, National Technical University, Kharkiv

来源：

Journal of Mathematical Sciences | 2011年 / 174卷 / 3期

关键词：

Complex Shape; Periodic Vibration; Orthotropic Plate; Parametric Vibration; Exciting Frequency;

D O I：

10.1007/s10958-011-0296-8

中图分类号：

学科分类号：

摘要：

We propose a method for investigating parametric vibrations of orthotropic plates with complex shape for different types of boundary conditions, which is based on variational methods in combination with the R -function theory. The proposed approach is used for the solution of specific problems. In the process of numerical realization of an algorithm for a considered plate with complex shape, we construct dynamic-instability domains and dependences of deflection on the exciting frequency and time. © 2011 Springer Science+Business Media, Inc.

引用

页码：269 / 282

页数：13

共 11 条

[1]

Ambartsumyan S.A., Theory of Anistropic Shells, (1987)

[2]

Bolotin V.V., Dynamic Stability of Elastic Systems, (1956)

[3]

Vol'mir A.S., Nonlinear Dynamics of Plates and Shells, (1972)

[4]

Lekhnitskii S.G., Anisotropic Plates, (1947)

[5]

Mikhlin S.G., Variational Methods in Mathematical Physics, (1970)

[6]

Rvachev V.L., Kurpa L.V., R -Function in Problems of the Theory of Plates, (1987)

[7]

Schmidt G., Parametererregte Schwingungen, (1975)

[8]

Awrejcewicz J., Krys'ko A.V., Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach, Archive Appl. Mech., 73, pp. 495-504, (2003)

[9]

Awrejcewicz J., Kurpa L., Mazur O., Research of stability and nonlinear vibration by R -function method, Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems, pp. 179-189, (2009)

[10]

Ganapathi M., Patel B.P., Boisse P., Touratier M., Non-linear dynamic stability characteristics of elastic plates subjected to periodic in-plane load, Int. J. Non-Linear Mech., 35, 3, pp. 467-480, (2000)

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