The author has proposed a differential quadrature element method (DQEM) for numerically solving continuum mechanics problems. This method employs the differential quadrature (DQ) technique to discretize the element-based governing differential or partial differential equations, the transition conditions on inter-element boundaries and the boundary conditions on domain boundaries. A global algebraic equation system can be obtained by assembling all of the discretized equations. A rigorous solution can be obtained by solving the global algebraic equation system. In this paper, the developed two-dimensional DQEM frame model is presented. Mathematical formulations are carried out. The procedures of numerical algorithm are summarized. By using this DQEM model, accurate results of two-dimensional frame problems can be efficiently obtained. Numerical results demonstrate this DQEM model.
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications