Qing-Shan Yang

Publications (2)1.42 Total impact

• Article: A new beam element for analyzing geometrical and physical nonlinearity

  Xiao-Feng Wang, Qing-Shan Yang, Qi-Lin Zhang
  [show abstract] [hide abstract]
  ABSTRACT: Based on Timoshenko’s beam theory and Vlasov’s thin-walled member theory, a new model of spatial thin-walled beam element is developed for analyzing geometrical and physical nonlinearity, which incorporates an interior node and independent interpolations of bending angles and warp and takes diversified factors into consideration, such as traverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and the second shear stress. The geometrical nonlinear strain is formulated in updated Lagarange (UL) and the corresponding stiffness matrix is derived. The perfectly plastic model is used to account for physical nonlinearity, and the yield rule of von Mises and incremental relationship of Prandtle–Reuss are adopted. Elastoplastic stiffness matrix is obtained by numerical integration based on the finite segment method, and a finite element program is compiled. Numerical examples manifest that the proposed model is accurate and feasible in the analysis of thin-walled structures. KeywordsSpatial beams-Thin-walled section-Beam element-Geometrical and physical nonlinearity-FEM
  Acta Mechanica Sinica 04/2012; 26(4):605-615. · 0.86 Impact Factor
• Source

  Available from: amm.shu.edu.cn

  Article: A new finite element of spatial thin-walled beams

  Xiao-feng Wang, Qi-lin Zhang, Qing-shan Yang
  [show abstract] [hide abstract]
  ABSTRACT: Based on the theories of Timoshenko’s beams and Vlasov’s thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thin-walled structures. Key wordsspatial beams-thin-walled section-stiffness matrix-shear deformation-coupling of flexure and torsion-second shear stress Chinese Library ClassificationTU323.3 2000 Mathematics Subject Classification74K10
  Applied Mathematics and Mechanics 04/2012; 31(9):1141-1152. · 0.56 Impact Factor