POST-IMPACT VIBRATIONS OF A SQUARE NONLINEAR DISPATIVE OSCILLATOR

Efficient Solution of Nonlinear Duffing Oscillator

In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...

The Post-processed Galerkin Method Applied to Nonlinear Shell Vibrations

A square root of the harmonic oscillator

Allowing for the inclusion of the parity operator, it is possible to construct a model of an oscillator whose Hamiltonian admits an exact square root which is rather different from the conventional approach based on creation and annihilation operators. We outline such a model, the method of solution and some generalisations. 03.65.Ge, 03.65.Fd Typeset using REVTEX In memory of Lorella M Jones w...

Perturbation of Vortex Induced Vibrations on a Square Section Cylinder

This paper addresses the vibration of a square section cylinder due to the alternate vortex shedding at moderate Reynolds number (3500). The numerical investigation is focused on the perturbation of the vortex shedding in order to decrease the amplitude of the vibrations at lock-in. By analyzing the unsteady flow results, we show that a control technique spatially localized at the surface of th...

Analysis of the nonlinear axial vibrations of a cantilevered pipe conveying pulsating two-phase flow

The parametric resonance of the axial vibrations of a cantilever pipe conveying harmonically perturbed two-phase flow is investigated using the method of multiple scale perturbation. The nonlinear coupled and uncoupled planar dynamics of the pipe are examined for a scenario when the axial vibration is parametrically excited by the pulsating frequencies of the two phases conveyed by the pipe. Aw...