The Hanging Column as a Dynamic Vibration Absorber

2018 ◽  
Vol 18 (07) ◽  
pp. 1871008 ◽  
Author(s):  
C. Y. Wang
Keyword(s):  
Forced Vibration ◽  
Vibration Absorber ◽  
Initial Value ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration ◽  
Spring System ◽  
Simple Mass ◽  
Mass Spring ◽  
First Time

A simple mass–spring system with an attached hanging column is investigated. The problem is formulated and the frequencies obtained with an efficient initial value method. Under forced vibration, the amplitude of the mass may be greatly reduced by adding a hanging column. The possibility of using such a hanging column as a dynamic vibration absorber is shown for the first time.

Vibration of Heavy String Tethered to Mass–Spring System

2017 ◽  
Vol 17 (04) ◽  
pp. 1771002 ◽  
Author(s):  
C. Y. Wang ◽  
C. M. Wang ◽  
R. Freund
Keyword(s):  
Natural Frequencies ◽  
Equation Of Motion ◽  
Gantry Crane ◽  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Tower Crane ◽  
Spring System ◽  
Mass Spring ◽  
First Time ◽  
Top Mass

This paper is concerned with the vibration of a heavy string tethered to a mass–spring system which is a model for tower crane or gantry crane. The governing equation of motion of the aforementioned problem is solved analytically and exact closed-form characteristic solutions for the natural frequencies are presented. These exact solutions would serve as benchmarks for models which may be more complex than the basic vibration problem considered. Moreover, we investigate the effect of the string-mass pendulum as a flexible dynamic vibration absorber. Such a problem is important in vibration control, and is investigated analytically for the first time. It is found that the effect of the bottom mass is to decrease the amplitude of the string in general. The effect of increased forcing frequency increases the number of nodal points on the string. In most cases, the amplitude of the top mass is reduced.

A simple method to design and analyze dynamic vibration absorber using dimensional analysis

2020 ◽  
pp. 107754632092392
Author(s):  
Mahdi Karimi ◽  
Mehrdad Shemshadi ◽  
Naghmeh Firoozfam
Keyword(s):  
Dimensional Analysis ◽  
Numerical Solutions ◽  
Vibration Absorber ◽  
Linear Regression Method ◽  
Vibration Absorbers ◽  
Dynamic Vibration Absorber ◽  
Simple Method ◽  
Dynamic Vibration ◽  
Analysis Technique ◽  
Mass Spring

Addition of mass, spring, and damper as a dynamic vibration absorber to a structure that is vibrating out of the permissible vibration range can be an economic and applicable solution to reduce structure vibrations provided that the absorber is designed and adjusted properly. In practice, real structures are damped, which can make it impossible to design vibration absorbers without using numerical solutions and complicated calculations. Using dimensional analysis technique and data obtained from system simulation by MATLAB Simulink, this study aims to provide simple and reliable correlations for designing and analyzing vibration absorbers. For this purpose, the motion equations of a one-degree-of-freedom system with a vibration absorber and a harmonic force applied is simulated. Use of a set of simulation output data to minimize the maximum motion amplitude of the structure along with multiple linear regression method enables determination of unknown coefficients of the correlations derived from dimensional analysis. Studies show that mass ratio and stiffness ratio are important for designing vibration absorbers for undamped and damped structures, respectively. The correlations are validated using the methods introduced in previous studies. Also, an example of vibration absorbers is calculated for an air compressor. The vibration absorber designed by this methodology results in a reduction in the magnification factor of the compressor by 78%.

scholarly journals Optimal Cantilever Dynamic Vibration Absorbers by Timoshenko Beam Theory

2004 ◽  
Vol 11 (3-4) ◽  
pp. 199-207 ◽  
Author(s):  
M. Cavacece ◽  
L. Vita
Keyword(s):  
Cantilever Beam ◽  
Beam Theory ◽  
Distributed Parameter ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration ◽  
Tuning Ratio ◽  
Dynamic Vibration Absorbers ◽  
First Time

A double-ended cantilever beam as a distributed parameter dynamic vibration absorber has been applied to a single-degree-of-freedom system subjected to harmonic forces.In this investigation, the beam has been analyzed under the well known model of Timoshenko and the computation of best parameters is based on the Chebyshev’s optimality criterion.This is somewhat novel in the field since:The design of cantilever beams as dynamic vibration absorbers is usually made under the hypotheses of the Euler-Bernoulli theory;It is the first time that the Chebyshev’s criterion is applied to the design of a double-ended cantilever beam used as a dynamic vibration absorber.For a ready use of the results herein presented, design charts allow a quick choice of optimal parameters such as tuning ratio and mass ratio.

scholarly journals On the design of an optimum active mass-spring-inverted pendulum dynamic vibration absorber for the inverted pendulum type structure

2008 ◽  
Vol 30 (4) ◽  
Author(s):  
Nguyen Chi Sang ◽  
Nguyen Cao Thang
Keyword(s):  
Inverted Pendulum ◽  
Type Structure ◽  
Vibration Absorber ◽  
Control Force ◽  
Dynamic Vibration Absorber ◽  
White Noise Process ◽  
Active Mass ◽  
Dynamic Vibration ◽  
Mass Spring ◽  
Better Than

A Dynamic Vibration Absorber (DVA) is appropriate equipment for vibration control in many kinds of engineering. In general, there are two main types of DVAs: the passive DVAs and the active DVAs. The paper presents a design of an active mass-spring-inverted pendulum DVA for the inverted pendulum type structure in case the external force is white noise process. The design is based on the optimum passive DVA as carried out in [4] and apply the optimum control force by minimizing the performance index. Numerical simulation which is done for an inverted pendulum structure in the ocean in three cases without DVA, with passive DVA, with active DVA shows that the active DVA is better than the passive one.

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
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