Stability of the equilibrium positions of an engine with nonlinear quadratic springs

Author:

Stănescu Nicolae-Doru,Popa Dinel

Abstract

AbstractOur paper realizes a study of the equilibrium positions for an engine supported by four identical nonlinear springs of quadratic characteristic. The systems with quadratic characteristic are generally avoided because they lead to mathematical complications. Our goal is to realize such a study for an engine supported on quadratic springs. For the model purposed, we established the equations of motion and we discussed the possibilities for the equilibrium positions. Because of the quadratic characteristic of the springs and of the approximations made for the small rotations, the equations obtained for the equilibrium lead us to a paradox, which consists in the existence of an open neighborhood in which there exists an infinity of positions of indifferent equilibrium, or a curve where the equilibrium positions are situated. Moreover, the study of the stability shows that the stability is assured for the position at which the springs are not compressed. Finally, a numerical example is presented and completely solved.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Mechanical Engineering,Aerospace Engineering,General Materials Science,Civil and Structural Engineering,Environmental Engineering

Reference28 articles.

1. Pandrea N., Pârlac S., Popa D., Models for the study of the vibrations of automobiles, Tiparg, Pitesti, 2001 (in Romanian).

2. Tongue B. H., Principles of Vibrations, Oxford University Press, Oxford, 2001

3. Schmitz T. L., Smith K. S., Mechanical Vibrations: Modeling and Measurement, Springer, New York, 2011

4. Wirsching P. H., Paez T. L., Ortiz K., Random Vibrations: Theory and Practice, Dover Books on Physics, Dover, 2006

5. Meirovitch L., Fundamental of Vibrations, Waveland Press, Inc, Long Grove, 2010

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