<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficients of systems. Phase portraits for various cases are displayed and the character of fixed points is described.</p></abstract>

In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficients of systems. Phase portraits for various cases are displayed and the character of fixed points is described.

Stability and Phase Portraits for Simple Dynamical Systems

Department of Structural Mechanics and Applied Mathematics, Faculty of Civil Engineering

Civil and Environmental Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Stability and Phase Portraits for Simple Dynamical Systems"}

In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is...

Stability and Phase Portraits for Simple Dynamical Systems

Online veröffentlicht: 24. Dez. 2018

Seitenbereich: 153 - 158

DOI: https://doi.org/10.2478/cee-2018-0020

Schlüsselwörter
Dynamical system, Structural dynamics, Stability, Eigenvalues, Phase portrait

© 2018 Mária Kúdelčíková et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Stability and Phase Portraits for Simple Dynamical Systems

Online veröffentlicht: 24. Dez. 2018

Seitenbereich: 153 - 158

DOI: https://doi.org/10.2478/cee-2018-0020

SchlüsselwörterDynamical system, Structural dynamics, Stability, Eigenvalues, Phase portrait

© 2018 Mária Kúdelčíková et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Dynamical system, Structural dynamics, Stability, Eigenvalues, Phase portrait