scholarly journals Model of Excitation of Chaotic Fluctuations in Oscillatory system with dissipation

2012 ◽  
Vol 2 (5) ◽  
pp. 150-153
Author(s):  
Aksenov I. B.
Keyword(s):  
Oscillatory System

Preliminary Investigations of Machine Frame Vibration Damping Using Eddy Current Principle

2016 ◽  
Vol 821 ◽  
pp. 288-294 ◽  
Author(s):  
George Juraj Stein ◽  
Peter Tobolka ◽  
Rudolf Chmúrny
Keyword(s):  
Mathematical Model ◽  
Natural Frequency ◽  
Eddy Current ◽  
Asynchronous Motor ◽  
Oscillatory System ◽  
Vibration Damping ◽  
Combined Effects ◽  
Magnetic Forces ◽  
Novel Approach ◽  
Vibration Attenuation

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.

Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire

2011 ◽  
Vol 3 (6) ◽  
pp. 689-701
Author(s):  
Malik Mamode
Keyword(s):  
Harmonic Balance ◽  
Nonlinear Oscillator ◽  
Harmonic Balance Method ◽  
Elliptic Functions ◽  
Oscillatory System ◽  
Balance Method ◽  
Closed Form Expression ◽  
Form Expression ◽  
Polynomial Potential ◽  
Exact Analytical Expression

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.

scholarly journals Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling

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

MULTI–INERT OSCILLATORY MECHANISM

2020 ◽  
Vol 2 ◽  
pp. 19-25
Author(s):  
I.P. POPOV
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Oscillation Frequency ◽  
Free Oscillation ◽  
Initial Conditions ◽  
Oscillatory System ◽  
Harmonic Oscillations ◽  
Oscillatory Systems ◽  
Oscillatory Mechanism ◽  
Mutual Conversion

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.

Dynamics of a Self-Oscillatory System with an Energy Source

2018 ◽  
Vol 38 (4) ◽  
pp. 260-262 ◽  
Author(s):  
A. A. Alifov ◽  
M. G. Farzaliev ◽  
E. N. Jafarov
Keyword(s):  
Energy Source ◽  
Oscillatory System

scholarly journals Phase-Coupled Oscillations in the Brain: Nonlinear Phenomena in Cellular Signalling

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Vikas Rai ◽  
Sreenivasan Rajamoni Nadar ◽  
Riaz A. Khan
Keyword(s):  
Limit Cycles ◽  
Initial Conditions ◽  
Phase Relationship ◽  
Oscillatory System ◽  
Calcium Currents ◽  
Nonlinear Phenomena ◽  
Inhibitory Interneurons ◽  
Stable Limit ◽  
Principal Cells ◽  
Coupled Oscillations

We report the existence of phase-coupled oscillations in a model neural system. The model consists of a group of excitatory principal cells in interaction with local inhibitory interneurons. The voltages across the membranes of excitatory cells are governed primarily by calcium and potassium ion conductivities. The number of potassium channels open at any given instant changes in accordance with a deterministic law. The time scale of this change is set by a constant which depends on midpoint potentials at which potassium and calcium currents are half-activated. The growth of mean membrane potential of excitatory principal cells is controlled by that of the inhibitory interneurons. Nonlinear oscillatory system associated with these limit cycles starting from two different initial conditions maintain a definite phase relationship. The phase-coupled oscillations in electrical activity of the neuronal cells carry together amplitude, phase, and time information for cellular signaling. This mechanism supports an energy efficient way of information processing in the central nervous system. The information content is encoded as persistent periodic oscillations represented by stable limit cycles in the phase space.

scholarly journals TOTAL ENERGY OF HARMONIC OSCILLATOR WITH IMPULSE ACTION

2020 ◽  
pp. 56-59
Author(s):  
K. Elgondiyev ◽  
S. Matmuratova ◽  
V. Borodin ◽  
L. Vovk
Keyword(s):  
Periodic Function ◽  
Harmonic Oscillator ◽  
Total Energy ◽  
Homogeneous Equation ◽  
External Perturbation ◽  
Oscillatory System ◽  
Time Variable ◽  
Harmonic Oscillations ◽  
Impulse Action ◽  
Periodic Impulse

The problem of finding the total energy of a harmonic oscillator with pulsed action at fixed moments of time is considered. Both for the case of the homogeneous equation of harmonic oscillations and for the case of the equation of harmonic oscillations in the presence of external perturbation, formulas for the total energy of the oscillatory system are obtained. The case of periodic impulse effects is analyzed. The conditions under which in this oscillatory system there are periodic modes are specified. It is shown that under the fulfillment of these conditions on the values of impulse action and external perturbation, the total energy of the vibrational system is also a periodic function of the time variable.

scholarly journals Bifurcation in a Forced Self-Oscillatory System with Spatial Degrees of Freedom

1993 ◽  
Vol 113 (5) ◽  
pp. 365-371 ◽  
Author(s):  
Hidetaka Ito ◽  
Erik Mosekilde ◽  
Yoshisuke Ueda
Keyword(s):  
Degrees Of Freedom ◽  
Oscillatory System ◽  
Spatial Degrees Of Freedom

scholarly journals Factor relationship of the parameters of the harmonic oscillatory system when cleaning the filtration surface of the plant for vegetable oil regeneration

2020 ◽  
pp. 100-102
Author(s):  
Phelix Yakovlevich Rudik ◽  
Natalya Lvovna Morgunova ◽  
Evgeniy Aleksandrovich Sundukov
Keyword(s):  
Shelf Life ◽  
Vegetable Oil ◽  
Vegetable Oils ◽  
Oscillatory System ◽  
Solid Particles ◽  
Design Parameters ◽  
Small Enterprises ◽  
Relationship Of ◽  
Filtration Surface

When processing oilseeds, technologies are needed to obtain valuable vegetable oils by pressing with a long shelf life. Existing technologies for cleaning vegetable oils in small enterprises do not allow cleaning the oil from all undesirable substances and therefore the oils have a short shelf life, quickly oxidize and lose their presentation. The article theoretically substantiates the design parameters of a directional ultrasonic and mechanical oscillatory system for cleaning the filtration surface of the installation from accumulated solid particles in the oil.

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