saeed mahmoudkhani

Aerospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University, GC

[ 1 ] - An efficient analytical solution for nonlinear vibrations of a parametrically excited beam

An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. The Galerkin’s method is used to convert the equation of motion to a nonlinear ordin...

[ 2 ] - The Transient Dynamics of a Beam Mounted on Spring Supports and Equipped with the Nonlinear Energy Sink

The transient dynamics of a beam mounted on springer-damper support and equipped with a nonlinear energy sink (NES) is investigated under the effects of shock loads. The equations of motion are derived using the Hamilton’s principle leading to four hybrid ordinary and partial differential equations and descritized using the Galerkin method. An adaptive Newmark method is employed for accurate an...

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