Vibration analysis of shear deformable circular arches by the differential quadrature method

Authors: Kang K.; Bert C.W.; Striz A.G.

Source: Journal of Sound and Vibration, Volume 183, Number 2, 1995 , pp. 353-360(8)

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Abstract:

The differential quadrature method is applied in the computation of the eigenvalues of the equations of motion governing in-plane and out-of-plane vibration of circular arches, based on the Bresse-Timoshenko beam theory in which both rotatory inertia and shear deformation are taken into account. Fundamental frequencies are calculated for arches of rectangular and circular cross sections under clamped-clamped end conditions and the results are compared with numerical solutions by another method. The present method gives good accuracy with only a limited number of grid points.

Language: English

Document Type: Research article

Affiliations: School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, Oklahoma 73019-0601, U.S.A.

Publication date: 1995-01-01