Numerical Assessment of the Boundary Layer Effect Predicted by the Shear Flexible Beam Theory with the Sixth-order Differential Equations
The analytical solutions of shear flexible beams with displacement boundary conditions are derived by using the new sixth-order differential equation beam theory presented by Shi and Voyiadjis (ASME J. Appl. Mech., Vol. 78, 021019, 2011), in which the boundary layer effects are included. The accuracy of the boundary layer effects predicted by the new sixth-order beam theory is evaluated by the finite element analysis in this study. The numerical results show that the new sixth-order beam theory is capable of taking account of the displacement boundary conditions of shear deformable beams and predicting good results of the boundary layer effects induced by the displacement boundaries and the continuity constraints.
Shear flexible beams the sixth-order beam theory displacement boundary conditions analytical solutions numerical assessment boundary layer solution
Xiaodan Wang Guangyu Shi
Department of Mechanics, Tianjin University, Tianjin 300072, CHINA
国际会议
上海
英文
1705-1711
2011-10-21（万方平台首次上网日期，不代表论文的发表时间）