Natural dynamic characteristics of a circular cylindrical Timoshenko tube made of three-directional functionally graded material

The natural dynamic characteristics of a circular cylindrical tube made of three-directional (3D) functional graded material (FGM) based on the Timoshenko beam theory are investigated. Hamilton’s principle is utilized to derive the novel motion equations of the tube, considering the interactions amo...

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Veröffentlicht in:	Applied mathematics and mechanics 2022-04, Vol.43 (4), p.479-496
Hauptverfasser:	Tang, Ye, Xu, Jiye, Yang, Tianzhi
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Beam theory (structures) Classical Mechanics Differential equations Dynamic characteristics Equations of motion Finite element method Fluid- and Aerodynamics Functionally gradient materials Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations Quadratures Ritz method Smart structures Timoshenko beams
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