Nassim Ale Ali

Department of Marine Engineering, Khorramshahr University of Marine Science & Technology

[ 1 ] - Time integration of rectangular membrane free vibration using spline-based differential quadrature

In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation. For the time integration of the problem, the Runge–Kutta and spline-based differential quadrature methods have been applied. The Runge–Kutta method was unstable for solving the prob...

[ 2 ] - Effect of thermoelastic damping in nonlinear beam model of MEMS resonators by differential quadrature method

This paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. The frequency of free vibration is calculated by discretization based on the Differential Quadrature (DQ) Method. The frequency is a complex value due to the thermoelastic effect that dissipates energy. By separating the real and imaginary parts of fr...

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