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Spline-based
investigation of natural vibrations of orthotropic
rectangular plates of variable thickness within classical and
refined theories
Yaroslav M. Grigorenko, Alexander Ya. Grigorenko and Tatyana L. Efimova |
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Vol. 3 (2008), No. 5, 929–952
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Abstract |
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A spline-collocation approach is proposed for studying the natural vibrations of orthotropic rectangular plates of variable thickness. The approach is based on the spline-approximation method and the method of discrete orthogonalization coupled with the step-by-step search method. The study is carried out within the framework of the classical and refined theories of plates. The dynamic response of the plates is studied depending on the variation of the plate thickness, the mechanical parameters, and the type of boundary conditions. |
Keywords
Kirchhoff's theory, Mindlin's theory, anisotropic
rectangular plates, spline approximations, natural
frequencies, natural vibration modes
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Milestones
Received: 18 February 2008
Revised: 99 2999
Accepted: 20 May 2008
Published: 1 July 2008
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Authors |
| Yaroslav M. Grigorenko | |
| S. P. Timoshenko Institute of
Mechanics of NAS of Ukraine Nesterov Street 3 Kiev 03057 Ukraine |
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| Alexander Ya. Grigorenko | |
| S. P. Timoshenko Institute of
Mechanics of NAS of Ukraine Nesterov Street 3 Kiev 03057 Ukraine |
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| Tatyana L. Efimova | |
| S. P. Timoshenko Institute of
Mechanics of NAS of Ukraine Nesterov Street 3 Kiev 03057 Ukraine |
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