Stability and Phase Portraits for Simple Dynamical Systems

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.

Keywords

• dynamical system
• structural dynamics
• stability
• eigenvalues
• phase portrait