Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 25, Issue 2, Pages 87-99Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2016.1255823
Keywords
Transverse vibration; orthotropic; plates of revolution; general boundary; supports; spectro-geometric method (SGM)
Categories
Funding
- National Natural Science Foundation of China [51505445]
- key subject Computational Solid Mechanics of the China Academy of Engineering Physics
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In this investigation, a general formulation for free transverse vibration analysis of orthotropic plates of revolution subjected to arbitrary boundary supports is presented by using the so-called spectro-geometric method (SGM) and the Rayleigh-Ritz technique. Under the current solution framework, the geometry of a structure can be accurately described in terms of mathematical or design parameters, rather than a computational grid or mesh. The unknown expansion coefficients are treated as the generalized coordinates and are determined using the Rayleigh-Ritz method. The accuracy and versatility of the current approach is fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions.
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