作者: G.R. LIU , T.Y. WU
关键词: Numerical analysis 、 Gaussian quadrature 、 Gauss–Jacobi quadrature 、 Clenshaw–Curtis quadrature 、 Mathematics 、 Domain decomposition methods 、 Gauss–Kronrod quadrature formula 、 Euler's formula 、 Mathematical analysis 、 Tanh-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.