Boundary kinematic control of a distributed oscillatory system

2007 ◽  
Vol 71 (6) ◽  
pp. 862-868 ◽  
Author(s):  
L.D. Akulenko



2017 ◽  
Vol 220 (10) ◽  
pp. 1894-1904 ◽  
Author(s):  
Christopher Thomas Richards ◽  
Laura Beatriz Porro ◽  
Amber Jade Collings
Keyword(s):  


2014 ◽  
Vol 79 ◽  
pp. 411-416 ◽  
Author(s):  
Hsien-I Lin ◽  
Yu-Cheng Liu ◽  
Yu-Hsiang Lin


2016 ◽  
Vol 821 ◽  
pp. 288-294 ◽  
Author(s):  
George Juraj Stein ◽  
Peter Tobolka ◽  
Rudolf Chmúrny

A novel approach to vibration attenuation, based on the eddy current principle, is described. The combined effects of all magnetic forces acting in the oscillatory system attenuate frame vibrations and, concurrently, decrease the damped natural frequency. A mathematical model of the forces balance in the oscillatory system was derived before. Some experimental results from a mock-up machine frame excited by an asynchronous motor are presented.



2011 ◽  
Vol 3 (6) ◽  
pp. 689-701
Author(s):  
Malik Mamode

AbstractThe exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.



2005 ◽  
Vol 205 (1-4) ◽  
pp. 154-169 ◽  
Author(s):  
Vanessa Casagrande ◽  
Alexander S. Mikhailov


Author(s):  
I.P. POPOV

A mechanical oscillatory system with homogeneous elements, namely, with n massive loads (multi– inert oscillator), is considered. The possibility of the appearance of free harmonic oscillations of loads in such a system is shown. Unlike the classical spring pendulum, the oscillations of which are due to the mutual conversion of the kinetic energy of the load into the potential energy of the spring, in a multi–inert oscillator, the oscillations are due to the mutual conversion of only the kinetic energies of the goods. In this case, the acceleration of some loads occurs due to the braking of others. A feature of the multi–inert oscillator is that its free oscillation frequency is not fixed and is determined mainly by the initial conditions. This feature can be very useful for technical applications, for example, for self–neutralization of mechanical reactive (inertial) power in oscillatory systems.



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