Abstract
To overcome the difficulty existing in the original DQM, such as the difficulties to apply the multiple boundary conditions and to deal with the load and geometric discontinuities, one type of the DQ-based element methods, the strong-form differential quadrature element method (DQEM), is proposed. The basic principle of the DQEM and two different formulations are presented. One formulation is based on the Hermite interpolationHermite interpolation and the other is based on the Lagrange interpolationLagrange interpolation. For the formulation of a DQ rectangular plate elementplate element, the mixed Hermite interpolation with Lagrange interpolation can also be used. Assemblage procedures are given and several examples are worked out in detail for illustrations. Numerical results show that the DQEM can yield accurate results for beams and rectangular plates under discontinuous loads and beams with step changes in cross-sections. The DQEM can also be used for analysis of frame structures.
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