Based on the generalized differential quadrature method, an analysis method of p-delta effect for continuous distribution system is proposed. Firstly, structural with mass and stiffness taken as research object. principle virtual work, axial transverse vibration equations considering are given. Secondly, partial discretized by using dynamic ordinary obtained to analyze system. Finally, example ...

An experimental method for characterizing the time-resolved phase noise of a fast switching tunable laser is discussed. The method experimentally determines a complementary cumulative distribution function of the laser's differential phase as a function of time after a switching event. A time resolved bit error rate of differential quadrature phase shift keying formatted data, calculated using ...

and Applied Analysis 3 The class of Runge-Kutta methods with CQ formula has been applied to delay-integro-differential equations by many authors (c.f. [18, 19]). For the CQ formula (9), we usually adopt the repeated trapezoidal rule, the repeated Simpson’s rule, or the repeated Newton-cotes rule, and so forth, denote η = max{?̃? 0 , ?̃? 1 , . . . , ?̃? m }. It should be pointed out that the adopte...

Keywords: Differential quadrature method Hyperbolic telegraph equation Modified B-spline basis functions Thomas algorithm a b s t r a c t The present paper uses a relatively new approach and methodology to solve second order two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline basis functions based differential quadrature method for space discretization that...

In this article, a shifted Legendre tau method is introduced to get a direct solution technique for solving multi-order fractional differential equations (FDEs) with constant coefficients subject to multi-point boundary conditions. The fractional derivative is described in the Caputo sense. Also, this article reports a systematic quadrature tau method for numerically solving multi-point boundar...

In this study, buckling analysis of panel types of marine and offshore structural components with initial imperfection under the combined action of lateral pressure and axial compression is carried out. The governing differential equations for thin and moderately thick shells are developed in terms of components of the displacement field. The governing ordinary differential equations are then d...

This paper presents a new technique for numerical treatments of Volterra delay integro-differential equations that have many applications in biological and physical sciences. The technique is based on the mono-implicit Runge — Kutta method (described in [12]) for treating the differential part and the collocation method (using Boole’s quadrature rule) for treating the integral part. The efficie...

The study of magnetostrictive material in laminated plate under thermal vibration is calculated by using the generalized differential quadrature (GDQ) method. The YNS shear deformation effect is included in the time dependent of displacement field. In the thermoelastic stress-strain relations that containing the linear temperature rise and the magnetostrictive coupling terms with velocity feedb...