Investigation of free vibrations of multilayer shallow shells and plates of complex shape in plan

被引：3
作者：
L. V. Kurpa
A. V. Chistilina
机构：
[1] National Technical University, Kharkov Polytechnical Institute, Kharkov
来源：
Strength of Materials | 2003年 / 35卷 / 2期
关键词：
free vibrations; shallow shells; theory of R-functions; variational methods;
D O I：
10.1023/A:1023770730179
中图分类号：
学科分类号：
摘要：
We propose an algorithm for the solution of the problem of free vibrations of multilayer shallow shells and plates based on the variational methods and the theory of R-functions. By using this algorithm, we solve the problems posed for shallow shells (spherical and cylindrical) and plates of complex shape in plan. We present the results of investigation of the dependences of the natural frequencies of vibrations of shallow shells and plates with different number of layers on the angle of rotation of the principal directions of each layer. © 2003 Plenum Publishing Corporation.
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页码：183 / 191
页数：8
相关论文
共 12 条
  • [1] Grigolyuk E.I., Kogan F.A., Contemporary state of the theory of multilayer shells, Prikl. Mekh., 8, 6, pp. 3-17, (1972)
  • [2] Dudchenko A.A., Lur'Ev S.A., Obraztsov I.F., Anisotropic Multilayer Plates and Shells, pp. 3-68, (1983)
  • [3] Ambartsumyan S.A., General Theory of Anisotropic Shells, (1974)
  • [4] Bolotin V.V., Novichkov Y.N., Mechanics of Multilayer Structures, (1980)
  • [5] Rasskazov A.O., Sokolovskaya I.I., Shul'Ga N.A., Theory and Numerical Analysis of Laminated Orthotropic Plates and Shells, (1986)
  • [6] Piskunov V.G., Verizhenko V.E., Linear and Nonlinear Problems of Numerical Analysis of Laminated Structures, (1986)
  • [7] Verizhenko V.E., Piskunov V.G., Prisyazhnyuk V.K., Ya. Tabakov P., An improved dynamic theory of multilayer shells and plates. Part 2. System of resolving equations and results, Probl. Prochn., 6, pp. 61-69, (1996)
  • [8] Bhimaraddi A., Free-vibration analysis of doubly curved shallow shells on rectangular planform using three-dimensional elasticity theory, Int. J. Sol. Struct., 27, 7, pp. 897-913, (1991)
  • [9] Vlasov V.Z., General Theory of Shells and Its Applications in Engineering, (1949)
  • [10] Guz A.N., Mechanics of Composites, (1993)
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