This paper extends the application of the differential quadrature method (DQM) to high order (2 3rd) ordinary differential equations with the boundary conditions specified at multiple points (2 three different points). Explicit weighting coefficients for higher order derivatives have been derived using interpolating trigonometric polynomials. A three-point, linear third-order differential equat...

Thermo-elastic analysis of a functionally graded hollow sphere is carried out and numerical solutions of displacement, stress and thermal fields are obtained using the Polynomial differential quadrature (PDQ) method. Material properties are assumed to be graded in the radial direction according to a power law function, ho...

In the paper, a novel magneto-electro-elastic model of bi-directional (2D) functionally graded materials (FGMs) beams is developed for investigating nonlinear dynamics. It shown that asymmetric modes induced by 2D FGMs may significantly affect dynamic responses, which tremendously different from previous studies. Taking into account geometric nonlinearity, equation motion and associated boundar...

This paper investigates natural frequencies of free transverse vibrations prestressed beams, and the governing equations vibration in related literatures are discussed corrected. The differential quadrature methods (DQ) applied directly to corrected get values frequency numerically. Under simple supported boundary conditions, model beam numerically studied, physical parameters analyzed respecti...

Firstly, we define an order for differential forms. Secondly, we also define the supersolution and subsolution of the A-harmonic equation and the obstacle problems for differential forms which satisfy theA-harmonic equation, and we obtain the relations between the solutions toA-harmonic equation and the solution to the obstacle problem of the A-harmonic equation. Finally, as an application of t...

The use of quadrature RF magnetic fields has been demonstrated to be an efficient method to reduce transmit power and to increase the signal-to-noise (SNR) in magnetic resonance (MR) imaging. The goal of this project was to develop a new method using the common-mode and differential-mode (CMDM) technique for compact, planar, distributed-element quadrature transmit/receive resonators for MR sign...