Threedimensional free vibration analysis of rotating laminated conical shells: layerwise differential quadrature (LWDQ) method
 Mostafa Talebitooti
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This paper focuses on the free vibration analysis of thick, rotating laminated composite conical shells with different boundary conditions based on the threedimensional theory, using the layerwise differential quadrature method (LWDQM). The equations of motion are derived applying the Hamiltonâ€™s principle. In order to accurately account for the thickness effects, the layerwise theory is used to discretize the equations of motion and the related boundary conditions through the thickness of the shells. Then, the equations of motion as well as the boundary condition equations are transformed into a set of algebraic equation applying the DQM in the meridional direction. This study demonstrates the applicability, accuracy, stability and the fast rate of convergence of the present method, for free vibration analyses of rotating thick laminated conical shells. The presented results are compared with those of other shell theories obtained using conventional methods and a special case where the angle of the conical shell approaches zero, that is, a cylindrical shell and excellent agreements are achieved.
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 Title
 Threedimensional free vibration analysis of rotating laminated conical shells: layerwise differential quadrature (LWDQ) method
 Journal

Archive of Applied Mechanics
Volume 83, Issue 5 , pp 765781
 Cover Date
 20130501
 DOI
 10.1007/s0041901207163
 Print ISSN
 09391533
 Online ISSN
 14320681
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Rotating conical shell
 Layerwise theory
 Natural frequency
 Differential quadrature method
 Industry Sectors
 Authors

 Mostafa Talebitooti ^{(1)}
 Author Affiliations

 1. Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran