Non–continuation of the Periodic Oscillations of a Forced Pendulum in the Presence of Friction
نویسندگان
چکیده
A well known theorem says that the forced pendulum equation has periodic solutions if there is no friction and the external force has mean value zero. In this paper we show that this result cannot be extended to the case of linear friction.
منابع مشابه
Torsion Spring Oscillator with Dry Friction
Free and forced oscillations of a torsion spring pendulum damped by viscous and dry (Coulomb) friction are investigated analytically and with the help of computer simulations. An idealized mathematical model of dry friction described by the so-called z-characteristic is assumed. This simple physical model can explain many peculiarities in behavior of various oscillatory systems with dry frictio...
متن کاملForced oscillations of a damped Korteweg-de Vries equation on a periodic domain
In this paper, we investigate a damped Korteweg-de Vries equation with forcing on a periodic domain $mathbb{T}=mathbb{R}/(2pimathbb{Z})$. We can obtain that if the forcing is periodic with small amplitude, then the solution becomes eventually time-periodic.
متن کاملFriction Compensation for Dynamic and Static Models Using Nonlinear Adaptive Optimal Technique
Friction is a nonlinear phenomenon which has destructive effects on performance of control systems. To obviate these effects, friction compensation is an effectual solution. In this paper, an adaptive technique is proposed in order to eliminate limit cycles as one of the undesired behaviors due to presence of friction in control systems which happen frequently. The proposed approach works for n...
متن کاملThermal Field Around a Circular Cylinder with Periodic Vortex Shedding
A numerical study is carried out to investigate the laminar forced convection heat transfer from a circular cylinder. The fluid is assumed to be incompressible, the Reynolds number ranged from 0.1 to 1000, and the Prandtl number was equal to 0.7. The range of study includes heat transfer in creeping flow (Re40). The equations were discretized by a control-volume-based finite difference techniqu...
متن کاملNORMAL FORM SOLUTION OF REDUCED ORDER OSCILLATING SYSTEMS
This paper describes a preliminary investigation into the use of normal form theory for modelling large non-linear dynamical systems. Limit cycle oscillations are determined for simple two-degree-of-freedom double pendulum systems. The double pendulum system is reduced into its centre manifold before computing normal forms. Normal forms are obtained using a period averaging method which is appl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000