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http://dx.doi.org/10.5762/KAIS.2016.17.5.284

Extensional Vibration Analysis of Curved Beams Including Rotatory Inertia and Shear Deformation Using DQM  

Kang, Ki-Jun (Department of Mechanical Engineering, Hoseo University)
Park, Cha-Sik (Department of Mechanical Engineering, Hoseo University)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.17, no.5, 2016 , pp. 284-293 More about this Journal
Abstract
One of the most efficient procedures for the solution of partial differential equations is the method of differential quadrature. The differential quadrature method (DQM) has been applied to a large number of cases to overcome the difficulties of complex algorithms of computer programming, as well as the excessive use of storage due to the conditions of complex geometry and loading. The in-plane vibrations of curved beams with extensibility of the arch axis, including the effects of rotatory inertial and shear deformation, are analyzed by the DQM. The fundamental frequencies are calculated for members with various slenderness ratios, shearing flexibilities, boundary conditions, and opening angles. The results are compared with the numerical results obtained by other methods for cases in which they are available. The DQM gives good mathematical precision even when only a limited number of grid points is used, and new results according to diverse variations are also suggested.
Keywords
DQM; Extensional Vibration; New Result; Rotatory Inertial; Shear Deformation;
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Times Cited By KSCI : 5  (Citation Analysis)
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