Journal ArticleDOI
Vibrational control theory
TLDR
The necessary and sufficient conditions for vibrational stabilizability of linear dynamic systems are found and basic relations of the vibrational control method and the optimal shape of vibrations are determined.Abstract:
The theory of vibrational control is developed. The necessary and sufficient conditions for vibrational stabilizability of linear dynamic systems are found. Basic relations of the vibrational control method and the optimal shape of vibrations are determined. Unlike conventional methods, based on feedback or feedforward principles, the method of the paper does not require measurement of the deviations or disturbances.read more
Citations
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Journal ArticleDOI
Feedback properties of multivariable systems: The role and use of the return difference matrix
TL;DR: In this paper, the Bode magnitude versus frequency plots of the singular values of the return difference matrix I + L and of the associated inverse-return difference were quantitatively described and design tradeoffs were discussed.
Journal ArticleDOI
Principle of vibrational control: Theory and applications
TL;DR: In this article, the vibrational control principle of zero mean value (ZMV) of the dynamic system parameters is presented. This principle consists in the introduction of such vibrations with zero mean values of the system parameters which modify the system properties in a desired manner.
Journal ArticleDOI
Some general effects of strong high-frequency excitation: stiffening, biasing and smoothening
TL;DR: In this paper, the effects of high frequency (HF) excitation on mechanical systems are investigated, including stiffening, biasing, and smoothening, referring to a tendency for discontinuities to be effectively "smeared out" by high frequency excitation.
Journal ArticleDOI
An application of vibrational control to cancel unstable decentralized fixed modes
L. Trave,A. M. Tarras,A. Titli +2 more
TL;DR: Vibrational control is employed to cancel unstable fixed modes in decentralized control systems and an application example is given.
Journal ArticleDOI
Effect of Tangential Dither Signal on Friction Induced Oscillations in an SDOF Model
TL;DR: In this paper, the authors examined how friction-induced oscillations in a traditional mass-on-a-moving-belt system are affected by highfrequency excitations, commonly referred to as dither signals.
References
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Journal ArticleDOI
On the general theory of control systems
TL;DR: In this paper, a general theory of control systems is outlined which answers many basic questions (what is controllable? why? how?) and gives a highly efficient method of computation.
Journal ArticleDOI
The Strong-Focusing Synchroton—A New High Energy Accelerator
TL;DR: In this paper, a design for a 30-Bev proton accelerator with an orbit radius of 300 ft and a small magnet having an aperture of 1.2 inches is presented.
Journal ArticleDOI
Closed‐cycle performance of a high‐power electric‐discharge laser
Clyde O. Brown,Jack W. Davis +1 more
TL;DR: In this article, the performance characteristics of a large volume CO2 electric discharge convection laser operating in a closed-cycle mode are described, and the use of a combined dc and rf excitation field and aerodynamic stabilization techniques resulted in the attainment of a stable and homogeneous discharge.
Journal ArticleDOI
Some nonlocal results for weakly nonlinear dynamical systems
P. R. Sethna,T. J. Moran +1 more
TL;DR: In this paper, it was shown that the domains of attraction of almost periodic solutions of dynamical systems of order greater than two can be approximated using the LaSalle theorem.
Journal ArticleDOI
On dynamical systems with high frequency parametric excitation
Gene W. Hemp,P.R. Sethna +1 more
TL;DR: In this paper, the effect of fast and slow parametric excitations on non-linear dynamical systems was studied and the results have asymptotic validity based on some recent mathematical results of Sethna.