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BENDING AND FORCED VIBRATION RESPONSE OF A CLAMPED ORTHOTROPIC THICK PLATE AND SANDWICH PANEL

✍ Scribed by T.S. LOK; Q.H. CHENG


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
351 KB
Volume
245
Category
Article
ISSN
0022-460X

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✦ Synopsis


A closed-form solution for the forced response of an orthotropic thick plate and sandwich panel has been developed and is presented in this paper. The paper outlines the methodology and develops the formulation to enable the solution to be derived. A novel truss-core sandwich panel is introduced and a method is outlined in which the panel is represented as an equivalent homogeneous orthotropic thick plate continuum. The 3-D dynamic "nite element method is one of the most versatile developments of the 20th century. However, the software is not as accessible or as user-friendly for engineers who are not trained in such analytical tools. Therefore, alternative methods of analysis must be found, especially in the dynamic assessment of thin-walled truss-core sandwich panels. One way is to transform the sandwich structure into an equivalent homogeneous orthotropic thick plate continuum and to conduct the analysis on the equivalent model. The authors have derived the necessary elastic constants to hasten this transformation. In this paper, the derived elastic constants are used with closed-form solution to determine the bending and forced vibration response of a clamped truss-core sandwich panel, represented as a homogeneous orthotropic thick plate continuum. The Rayleigh}Ritz method is employed for the closed-form solution and the forced response is determined using Duhamel's integral. Admissible functions are taken as a series of products of beam mode-shape functions in the two orthogonal directions. The beam function in either direction is derived from the corresponding beam eigenvalue problem. Numerical examples, which include the in#uence of transverse shear on the response, show that the closed-form solution agrees with analytical and numerical data available in the literature and also with 3-D "nite element results.


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Frequency analysis of thick orthotropic
✍ P. V. Thangam Babu; D. V. Reddy; D. S. Sodhi πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 662 KB

A high precision triangular thick orthotropic plate bending element on an elastic foundation is developed for the free vibration analysis of thick plates on elastic foundation. The element has three nodes with twelve degrees-of-freedom per node, and takes into account the shear deformation and rotat