On the Vibrations of a Mass Linked by Two Nonlinear Springs with Quadratic and Third Order Polynomial Characteristics

Journal Title: Romanian Journal of Acoustics and Vibration - Year 2013, Vol 10, Issue 2

Abstract

We study the equilibrium positions and their stability in the case of a mass linked by two nonlinear springs. These springs have polynomial characteristic of different orders; one of them is a quadratic one and the second is described by a third order polynomial. The complications that appear are as mainly caused by the degree of the equation which has to be solved and the fact that the second degree polynomial which describes the characteristic of the first spring is not an odd function. A numerical example concludes this paper.

Authors and Affiliations

Nicolae STANESCU, Dinel POPA

Keywords

Related Articles

Numerical Study of the Vibrations with Collisions of a System with Nonlinear Cubic Stiffness, Dry Friction and Harmonic Excitation

In this paper we consider a non-linear single degree of freedom system with dry friction consisting in a mass that oscillates between two fixed barriers. Our study is a numerical one and we determine the influences of di...

Consideration regarding the nonlinear vibration of a mechanical system

The paper studies, from the point of view of the dynamical systems theory, the nonlinear vibrations of a single-degree-of-freedom mechanical system. The differential equation of motion is analyzed using the method of var...

The influence of the damping coefficients to the hunting motion stability of the bogies

Conventional railway vehicle systems exhibit lateral instability phenomenon doe to selfinduced oscillations of the rigid axle wheelsets, which increases component wear and imposes operating speed limits. To improve the s...

Analytical and experimental assessment of degrading structures dynamic behavior

The paper presents an inverse method for time dependence identification of equivalent stiffness and damping coefficients of a SDOF oscillating system with degrading hysteretic behavior. The method is based on forced and...

Analysis of Dynamic Response of the Human Body as a System With Several Degrees of Freedom From External Harmonic Perturbations

The modal analysis enables the evaluation of a certain structure`s behaviour based on the identification of the resonances or of the feed-back modes. It can be a method through which the modal parameters of the human str...

Download PDF file
  • EP ID EP115555
  • DOI -
  • Views 88
  • Downloads 0

How To Cite

Nicolae STANESCU, Dinel POPA (2013). On the Vibrations of a Mass Linked by Two Nonlinear Springs with Quadratic and Third Order Polynomial Characteristics. Romanian Journal of Acoustics and Vibration, 10(2), 103-107. https://europub.co.uk/articles/-A-115555