Differential quadrature (DQ) method of discontinuous problems

The influences of different modified node distribution modes and load equivalent methods to the convergence of solution are investigated, and an improved DQM (differential quadrature method) based on the of modified node distribution mode and load equivalent methods is proposed. As an example of load discontinuous problems, slender beams with different supports under concentrated forces and/or local loads are discussed. The applicability to the problems of discontinuous loads and geometric discontinuity is validated by the examples of beams local loads and delamination buckling composite plates. Compared to conventional DQM, higher accuracy and more rapid convergence were achieved by the present method to deal with discontinuous problems, so a good reference is provided to deal with discontinuous problems in engineering.