Article ID Journal Published Year Pages File Type
767331 Communications in Nonlinear Science and Numerical Simulation 2011 8 Pages PDF
Abstract

This paper extends the concept of limiting phase trajectories (LPT) to systems with dissipation. The Duffing oscillator with linear dissipation and periodic excitation is studied. Under condition of 1:1 resonance, we obtain an approximate analytic solution describing two stages of motion: at the first stage the trajectory is close to the non-dissipative LPT, while at the second stage the trajectory approaches stationary oscillations near the steady state.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
, , , ,