Analysis of a Nonlinear Dynamic Vibration Absorber

1953 ◽  
Vol 20 (4) ◽  
pp. 515-518
Author(s):  
L. A. Pipes
Keyword(s):  
Forced Oscillations ◽  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Nonlinear Characteristics ◽  
Disturbing Force ◽  
Main Mass ◽  
Dynamic Vibration ◽  
Nonlinear Force ◽  
Linear Spring ◽  
Force Displacement

Abstract This paper presents a mathematical analysis of the action of a dynamic vibration absorber. The system analyzed consists of a main mass attached to a rigid foundation by a linear spring coupled to the absorber mass by a spring of nonlinear characteristics. The forced oscillations of the system produced by a harmonic disturbing force acting on the main mass are studied analytically. It is assumed that the coupling absorber spring has nonlinear force-displacement characteristics of the hyperbolic sine type. Expressions for the amplitudes of the vibrations of the two masses as functions of the frequency of the disturbing force are obtained.

Analysis of Parallel Damped Dynamic Vibration Absorbers

1969 ◽  
Vol 91 (1) ◽  
pp. 282-287 ◽  
Author(s):  
A. V. Srinivasan
Keyword(s):  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Dynamic Vibration Absorber ◽  
Main Mass ◽  
Dynamic Vibration ◽  
Frequency Comparison ◽  
Dynamic Vibration Absorbers ◽  
Tuning Frequency ◽  
Comparison Of The Results ◽  
Operational Range

The analysis of parallel damped dynamic vibration absorbers is presented. The system considered is essentially a modification of the conventional damped vibration absorber and consists of adding, in parallel, a subsidiary undamped absorber mass in addition to the damped absorber mass. The analysis clearly shows that it is possible to obtain an undamped antiresonance in a dynamic absorber system which exhibits a well-damped resonance. While the bandwidth of frequencies between the damped peaks is not significantly increased, the amplitudes of the main mass are considerably smaller within the operational range of the absorber. The damped absorber mass and the main mass attain null simultaneously so that the vibratory force is transmitted directly to the undamped absorber. Numerical results are presented for the special case when the absorber masses have the same magnitude. Two cases of tuning have been considered: (a) when the absorber masses are tuned to the frequency of the main mass, and (b) when the absorber masses are tuned to the so-called favorable tuning frequency. Comparison of the results with those of the conventional absorber indicates that the parallel damped dynamic vibration absorber has definite advantages over the conventional damped vibration absorber.

Theory of the Damped Dynamic Vibration Absorber for Inertial Disturbances

1949 ◽  
Vol 16 (1) ◽  
pp. 86-92
Author(s):  
J. E. Brock
Keyword(s):  
Practical Importance ◽  
Forced Vibrations ◽  
Rotating Machinery ◽  
Vibration Absorber ◽  
Harmonic Force ◽  
Dynamic Vibration Absorber ◽  
Mechanical Vibrations ◽  
Disturbing Force ◽  
Extended Treatment ◽  
Dynamic Vibration

Abstract If a mass which is mounted flexibly is set into forced vibrations by a harmonic force having an amplitude which does not vary with frequency, a damped dynamic vibration absorber may be designed to reduce the vibrations to some preassigned amplitude, regardless of the range over which the frequency of the disturbing force may vary. The theory of this type of vibration absorber, together with valuable discussion, has been given in a paper by Ormondroyd and Den Hartog, and is readily available in Den Hartog’s text on mechanical vibrations. In this paper the author presents a similar analysis for the case in which the amplitude of the disturbing force varies as the square of its frequency. For lack of a better name, this will be referred to as the case of “inertial disturbance.” Such cases are of considerable practical importance. For example, disturbances due to unbalance in rotating machinery are of this type. In some cases, such as those in which the unbalance varies with temperature, it may be impractical or impossible to secure perfect or nearly perfect balance, and a vibration absorber, designed on the basis of the analysis to be presented, may offer a suitable remedy. A practical example of this nature is given. The analysis follows a pattern similar to that given by Den Hartog, but enough of the details are different to warrant an extended treatment.

scholarly journals Suppression of Vibration Induced by Reciprocal Motion of Displacer in Cryopump with an Active Dynamic Vibration Absorber

2019 ◽  
Vol 52 (15) ◽  
pp. 531-536
Author(s):  
Takeshi Mizuno ◽  
Takahito Iida ◽  
Yuji Ishino ◽  
Masaya Takasaki ◽  
Daisuke Yamaguchi
Keyword(s):  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration

scholarly journals Characteristics of adjustable dynamic vibration absorber

2018 ◽  
Vol 84 (862) ◽  
pp. 18-00062-18-00062
Author(s):  
Kenya NEMOTO ◽  
Hiroshi YAMAMOTO ◽  
Terumasa NARUKAWA
Keyword(s):  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration

scholarly journals Are Single Polymer Network Hydrogels with Chemical and Physical Cross-Links a Promising Dynamic Vibration Absorber Material? A Simulation Model Inquiry

Materials ◽  
2020 ◽  
Vol 13 (22) ◽  
pp. 5127
Author(s):  
Leif Kari
Keyword(s):  
Simulation Model ◽  
Loss Factor ◽  
Polymer Network ◽  
Vibration Absorber ◽  
Vibration System ◽  
Frequency Range ◽  
Dynamic Vibration Absorber ◽  
High Loss ◽  
Dynamic Vibration ◽  
Cross Links

Tough, doubly cross-linked, single polymer network hydrogels with both chemical and physical cross-links display a high loss factor of the shear modulus over a broad frequency range. Physically, the high loss factor is resulting from the intensive adhesion–deadhesion activities of the physical cross-links. A high loss factor is frequently required by the optimization processes for optimal performance of a primary vibration system while adopting a dynamic vibration absorber, in particular while selecting a larger dynamic vibration absorber mass in order to avoid an excess displacement amplitude of the dynamic vibration absorber springs. The novel idea in this paper is to apply this tough polymer hydrogel as a dynamic vibration absorber spring material. To this end, a simulation model is developed while including a suitable constitutive viscoelastic material model for doubly cross-linked, single polymer network polyvinyl alcohol hydrogels with both chemical and physical cross-links. It is shown that the studied dynamic vibration absorber significantly reduces the vibrations of the primary vibration system while displaying a smooth frequency dependence over a broad frequency range, thus showing a distinguished potential for the tough hydrogels to serve as a trial material in the dynamic vibration absorbers in addition to their normal usage in tissue engineering.

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