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
- EP ID EP115555
- DOI -
- Views 76
- Downloads 0
About the Analysis of Post-Impact Oscillator Phenomena Which are Produced in Protective Structures Subjected to Shock Loadings, Using Mechanical Event Simulation
The article presents some aspects of the analysis oscillatory phenomena occurring after applying a shock loading to a protective structure using response simulation of the structure after impact. Protective structures co...
Study of noise directivity at household air conditioning installations
This paper presents the experimental determination in various operating modes of noise directivity at household air conditioning installations. To conduct the experimental study a measurement stand was built inside the a...
DYNAMIC UNCERTAINTY AND INSTABILITY STATE – RESONANCE
The resonance state is present in all the dynamic processes of material systems that are characterized by mass and elasticity, when significant external excitations are present. Depending on the type of systems, starting...
Mathematical Formulation of Friction Pendulum System With Multiple Sliding Interfaces
The use of base isolation in developed countries has been recognized as a very effective method for upgrading the seismic resistance of the structures. The reduction in earthquake forces on a structure is achieved by add...
Finite Elements Simulations of Noise Damping in a Muffler
This study represents an investigation of the COMSOL Finite Elements (FE) capabilities of simulating noise reduction techniques. This general purpose FE code has an acoustics module, from which the present study investig...