VIBRATION ANALYSIS OF BEAMS USING THE GENERALIZED DIFFERENTIAL QUADRATURE RULE AND DOMAIN DECOMPOSITION

作者: G.R. LIU , T.Y. WU

DOI: 10.1006/JSVI.2001.3667

关键词: Numerical analysisGaussian quadratureGauss–Jacobi quadratureClenshaw–Curtis quadratureMathematicsDomain decomposition methodsGauss–Kronrod quadrature formulaEuler's formulaMathematical analysisTanh-sinh quadrature

摘要: Abstract This study dealt with domain decomposition in the recently proposed generalized differential quadrature rule. In detail, authors concentrated on free vibration of multispan and stepped Euler beams, beams carrying an intermediate or end mass. Since compatibility conditions should be implemented a strong form at junction subdomains concerned, FEM techniques used for internal moments shear forces must not used. Compatibility their expressions were explicitly formulated. A peculiar phenomenon was found applications that equal–length gave more accurate results than unequal–length ones using same number subdomain grids. Various examples presented very have been obtained.

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