The Simulation Modeling for the Non-Linear Free Vibration Taking into Account The Harmonic Distortion of Clamped-Clamped Beams

Research areas:

• Volume 1,Issue 6, May. 2013

Year:

2013

Type of Publication:

Article

Keywords:

Non Linear Behaviour, Harmonic Distortion, Large Amplitude, Higher Harmonic

Authors:

H. Atmani; R. Benamar

Journal:

IJAIM

Volume:

1

Number:

6

Pages:

151-155

Month:

May

ISSN:

2320-5121

Abstract:

The main purpose of this paper is the presentation of a new computer modeling investigating the spatial distribution and amplitude dependence of the harmonic distortion occurring at large vibration amplitudes of clamped-clamped beams. The spatial distribution of the response higher harmonics is theoretically examined. A theoretical model, based on a new approach has been developed and proposed to calculate the contribution of spatially distributed and amplitude dependent higher harmonics in the non-linear response of clamped-clamped beams. The set of non-linear differential equations obtained by this formulation has been solved numerically, and solutions obtained appear to be in good agreement with previously published experimental results.

Full text: IJAIM_122_Final.pdf