Article ID Journal Published Year Pages File Type
289553 Journal of Sound and Vibration 2008 6 Pages PDF
Abstract

It is shown that the oscillator x¨+(1+x˙2)x=0 is conservative and scaling laws for the period for small and large amplitude vibrations are derived. Analytical approximations of the periodic orbits are also constructed and these show excellent agreement with numerical solutions.

Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
Preview
Approximating small and large amplitude periodic orbits of the oscillator x¨+(1+x˙2)x=0
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