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Self-Excited Mechanical Oscillations
Journal of Applied Physics, 1948This paper deals with a phenomenon of self-excitation observed in an electromechanical system. It is shown that this phenomenon is expressible in terms of a difference-differential equation, having a frequency spectrum that depends on a parameter. The linear theory fails to give an answer to the question of stability of oscillations.
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Self-Excited Hydrodynamic Oscillators
The Journal of the Acoustical Society of America, 1952Self-excited sound sources for use in fluids are discussed with principal attention given to the Pohlmann whistle. Although certain applications of this source have been reported in the literature, little has been available concerning its properties.
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Stochastic Processes in Self-Excited Oscillation
Journal of the Physical Society of Japan, 1974The amplitude and phase fluctuations in self-excited oscillation are studied phenomenologically using a van der Pol type stochastic equation. The second-order differential equation is converted into two first-order differential equations for the amplitude and the phase and their probability distributions are derived from the associated Fokker-Planck ...
Tatsuyuki Kawakubo, Shigeharu Kabashima
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The distribution of zero crossings for self-excited oscillators∗
International Journal of Non-Linear Mechanics, 1969Abstract It is shown that the problem of the distribution of zero crossing times for a Markov process can be formulated as a boundary value problem involving Kolmogorov's backward equation. The distribution of zero crossing times for self-excited oscillators with small damping subjected to a small white noise disturbance is shown to be approximately ...
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Self-Excited Oscillation of a Collapsible Tube
Fluids Engineering, 2000Abstract This paper considers the effect of flow-system parameters on collapsible tube flow during low-frequency oscillation; of particular interest are the reservoir head and flow resistance at the upstream and downstream, and the fluid inertia at the downstream.
J. W. Wang, H. T. Low, Y. T. Chew
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Frictional self-excited oscillations
2003As explained in Chapter 6 the maximum friction F+ depends on the rate of tangential loading f at the break-down and decreases as this rate increases. The existence of this dependence causes a jump of the force of friction F+ - F c at the instant of break-down and thus results in a hard excitation of the frictional self-excited oscillations. Besides, a ”
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Simple Nonlinear and Self-Excited Oscillators
2010The equations of motion regarding free vibrations for nonlinear and self-excited oscillators do not differ from each other. However, the equations of motion of selfexcited oscillators contain, from a physical point of view, a “stimulating” expression so that free vibrations do not always subside like it is the case with “common” nonlinear oscillators ...
Hans Dresig, Franz Holzweißig
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Self-Excited Oscillations in Distributed Systems
1989Distributed self-excited oscillational systems are extremely wide spread in nature and technology. Lasers, important functional systems in living organisms (blood circulation, breathing, and speech), wind and string musical instruments, variable stars (the cepheide variables), and autocatalytic chemical reactions are all examples.
M. I. Rabinovich, D. I. Trubetskov
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Free and forced oscillations of a class of self-excited oscillators
1966NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Free and forced oscillations in oscillators governed by the equation [...] are studied with appropriate constraints on [...]. Theorems are proved on the existence and uniqueness of stable periodic solutions for free oscillations using ...
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ROBUST SELF-EXCITATION BY BIOLOGICAL OSCILLATORS
IFAC Proceedings Volumes, 2002Abstract The vast majority of literature on control theory has focused on stability and certain regulation performances with respect to equilibrium points of dynamical systems. On the other hand, there are many practically important problems that are concerned with control specifications described by periodic motions.
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