The Extended Theory of the Viscous Vibration Damper
01 Sep 1955-Journal of Applied Mechanics (American Society of Mechanical Engineers Digital Collection)-Vol. 22, Iss: 3, pp 377-382
About: This article is published in Journal of Applied Mechanics.The article was published on 1955-09-01. It has received 20 citations till now. The article focuses on the topics: Damper.
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TL;DR: In this article, a computationally fast and efficient least-squares method to minimize the vibration of any general rotor-bearing system by the application of external control forces is presented, which provides a wide range of statistical information, and the sensitivity of the optimum response to changes in the control forces.
Abstract: This paper presents a computationally fast and efficient least-squares method to minimize the vibration of any general rotor-bearing system by the application of external control forces. The D-optimality concept is used to optimize the force locations. The proposed method provides a wide range of statistical information, and the sensitivity of the optimum response to changes in the control forces. Magnetic bearings can be applied to implement the open-loop adaptive vibration control strategies outlined in the paper. These components can also be used to inject a multi-frequency test signal as required for identification studies.
99 citations
TL;DR: In this paper, an extension of the classical Den Hartog approach to a multi-degree-of-freedom undamped main system is presented, and an analytical solution for the optimal damper value of the absorber is derived.
Abstract: The most common method to design tuned dynamic vibration absorbers is still that of Den Hartog, based on the principle of invariant points. However, this method is optimal only when attaching the absorber to a single-degree-of-freedom undamped main system. In the present paper, an extension of the classical Den Hartog approach to a multi-degree-of-freedom undamped main system is presented. The Sherman-Morrison matrix inversion theorem is used to obtain an expression that leads to invariant points for a multi-degree-of-freedom undamped main system. Using this expression, an analytical solution for the optimal damper value of the absorber is derived. Also, the effect of location of the absorber in the multi-degree-of-freedom system and the effect of the absorber on neighboring modes are discussed.
78 citations
TL;DR: In this article, an efficient optimal design algorithm for minimizing the vibratory response of a multi-degree of freedom system under sinusoidal loading over several excitation frequencies is presented.
70 citations
TL;DR: In this paper, the effect of a viscously damped dynamic absorber on the dynamic behavior of a linear vibration system with many degrees of freedom is investigated and optimal values for the parameters describing the behaviour of the dynamic absorbers are determined, in order that the transmissibility of the composite system be minimized over the whole frequency range.
40 citations
TL;DR: In this paper, a new method based on the Sherman-Morrison matrix inversion formula for calculation of the optimal absorber parameter values for attachment to a damped multi-degree of freedom system is introduced.
34 citations