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A Study on Stability Analysis for Damped Vibrations Model using Matrics Theory

Author(s):

S. Devisri , SRI KRISHNA ARTS AND SCIENCE COLLEGE; T. Surya, SRI KRISHNA ARTS AND SCIENCE COLLEGE; R. Ranjithkumar, SRI KRISHNA ARTS AND SCIENCE COLLEGE; A. Dhinesh, SRI KRISHNA ARTS AND SCIENCE COLLEGE

Keywords:

Component, Harmonic Motion, Natural Frequency, Mode Shape, Damper, Resonance

Abstract

In this paper the natural frequency and mode shape of the dynamic free body is analyzed by using the concept of eigenvalue and eigenvector of matrix by means of Equation of Motion (EOM). It is possible to determine whether the position of body is stable in its equilibrium position or the external force matches the natural frequency which tends to resonance. This paper shows how the eigenvalue and eigenvector notion is applied in the stability of vibration model which is damped and undamped in nature of free response. Finally, some of the examples were illustrated to explain the theory.

Other Details

Paper ID: IJSRDV6I10085
Published in: Volume : 6, Issue : 1
Publication Date: 01/04/2018
Page(s): 541-544

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