Differential Quadrature, Generalized Methods, Related Discrete Element Analysis Methods And EDQ Based Time Integration Method

Abstract

Development of differential quadrature related generalized methods, discrete element analysis methods and EDQ based time integration methods has been carried out in the past few years. The related numerical algorithms are summarized and presented. Four discrete analysis techniques related patents are also reviewed. Some engineering problems are solved using the developed DQ related discrete analysis methods. Numerical results are also presented. They prove the effectiveness of the developed algorithms. Keywords: Differential quadrature, extended differential quadrature, generic differential quadrature, Lagrange DQ model, Hermite EDQ model, Chebyshev DQ and EDQ models, DQ generated EDQ, differential quadrature element method, generalized differential quadrature element method, finite difference method