An Investigation of an Impact Vibration Absorber

1967 ◽  
Vol 89 (4) ◽  
pp. 653-657 ◽  
Author(s):  
D. M. Egle

The impact vibration absorber consists of a small mass, moving unidirectionally, impacting against the ends of a container which is rigidly attached to the primary vibrating system. A simplified theory for the forced steady-state response of a linear, single-degree-of-freedom system with an impact vibration absorber is presented. The assumption of two impacts per cycle at equal time intervals is known to lead to two possible solutions near the resonant frequency of the primary system. A criterion for determining the stability of the solutions is developed. An approximate expression for the maximum displacement of the primary system is given and the theory is compared to experimental results.

2006 ◽  
Vol 128 (4) ◽  
pp. 508-515 ◽  
Author(s):  
Shigeru Aoki ◽  
Takeshi Watanabe

The dynamic vibration absorber is a device for reducing the vibration of many structures and mechanical equipment. It consists of a small mass which is attached to the primary vibrating system or main mass. The impact damper is one of such dynamic vibration absorbers in which motion of auxiliary mass is limited by motion-limiting stop or placed inside a container. In this paper, in order to consider energy loss for an impact represented by the coefficient of restitution and duration of collision, an analytical model with hysteresis damping is introduced. Using this model, dynamic response of the system under harmonic and that under random excitations are analyzed. Some numerical results are shown.


Author(s):  
Shigeru Aoki ◽  
Takeshi Watanabe

The dynamic vibration absorber is a device for reducing the vibration of many structures and mechanical equipment. It consists of a small mass which is attached to the primary vibrating system or main mass. The impact damper is one of such dynamic vibration absorbers in which motion of auxiliary mass is limited by motion-limiting stop or placed inside a container. In this paper, in order to consider energy loss for an impact represented by the coefficient of restitution and duration of collision, an analytical model with hystresis damping is introduced. Using this model, dynamic response of the system under harmonic and that under random excitations are analyzed. Some numerical results are shown.


Author(s):  
S. Ekwaro-Osire ◽  
F. M. Alemayehu ◽  
I. Durukan ◽  
J. F. Ca´rdenas-Garci´a

Impact vibration absorbers have been used extensively to control vibrations of mechanical systems. This paper deals with an experimental study on the performance of bi-unit impact vibration absorbers. The objective of this research was to study the performance of staggered versus identical clearances for two impact balls. This means that in the staggered clearance, the two impact balls had different distances to travel before impacting the limit walls whereas the clearances were identical for the other case. An experimental setup was designed and constructed. A novel digital image system, consisting of high speed camera and image acquisition software, was designed. The primary system was tuned to have a natural frequency of 5 Hz. A time series data of the location of the impact wall and both balls was acquired through constant frequency and constant amplitude excitation. This data was used to obtain motion plots and frequency responses. It was demonstrated that the vibration absorber with staggered clearances was more effective than the vibration absorber with identical clearances.


2008 ◽  
Vol 15 (3-4) ◽  
pp. 355-368 ◽  
Author(s):  
Benjamın Vazquez-Gonzalez ◽  
Gerardo Silva-Navarro

In this work we study the frequency and dynamic response of a damped Duffing system attached to a parametrically excited pendulum vibration absorber. The multiple scales method is applied to get the autoparametric resonance conditions and the results are compared with a similar application of a pendulum absorber for a linear primary system. The approximate frequency analysis reveals that the nonlinear dynamics of the externally excited system are suppressed by the pendulum absorber and, under this condition, the primary Duffing system yields a time response almost equivalent to that obtained for a linear primary system, although the absorber frequency response is drastically modified and affected by the cubic stiffness, thus modifying the jumps defined by the fixed points. In the absorber frequency response can be appreciated a good absorption capability for certain ranges of nonlinear stiffness and the internal coupling is maintained by the existing damping between the pendulum and the primary system. Moreover, the stability of the coupled system is also affected by some extra fixed points introduced by the cubic stiffness, which is illustrated with several amplitude-force responses. Some numerical simulations of the approximate frequency responses and dynamic behavior are performed to show the steady-state and transient responses.


Author(s):  
Shusen Zhang

This paper studies the influence of the return and the valve spring rate on the stability of a four-way valve–controlled double-acting actuator. A fully nonlinear model for this system is developed based on the orifice equation. The new model contains both the upstream chamber and downstream chamber for each orifice. The geometry of the return orifice and the valve spring rate has an impact on the stability boundary of the four-way valve–controlled double-acting actuator. A larger return orifice requires using a stronger valve spring to ensure the stability of the system. It is shown that, for the nonlinear system, a stable limit circle can be born from an unstable origin as bifurcation occurs.


Author(s):  
Adarsh Anand ◽  
Navneet Bhatt ◽  
Deepti Aggrawal

A software system deals with various security implications after its release in the market. Correspondingly, firm releases security patches to counter those flaws discovered in the software system. A vendor releases a patch only if a vulnerability has been discovered in a software. It is an important aspect that encompasses the prediction of potential number of patches to be released to maintain the stability of a software. Vulnerability Discovery Models (VDMs) help a software vendor to acknowledge the security trends, forecast security investments and to plan patches, but very few attempts have been made to model the Vulnerability Patch Modeling (VPM) based on the impact of vulnerabilities discovered over the time period. In this proposal, we deduce a novel approach that addresses trend in the sequential development of patches based on the vendor or reporters fetching out the vulnerabilities in a software. The vulnerability trends in a software significantly affect the discovery process and later trigger a patch deployment to suppress the possible likelihood of a breach. The integrative approach underlines the association of vulnerability patch modeling with the vulnerability discovery phenomenon. To exemplify the proposed systematic structure, a statistical analysis has been conducted using real life vulnerability and patch datasets.


2019 ◽  
Vol 141 (5) ◽  
Author(s):  
Shaoyi Zhou ◽  
Claire Jean-Mistral ◽  
Simon Chesne

Abstract This paper addresses the optimal design of a novel nontraditional inerter-based dynamic vibration absorber (NTIDVA) installed on an undamped primary system of single degree-of-freedom under harmonic and transient excitations. Our NTIDVA is based on the traditional dynamic vibration absorber (TDVA) with the damper replaced by a grounded inerter-based mechanical network. Closed-form expressions of optimal parameters of NTIDVA are derived according to an extended version of fixed point theory developed in the literature and the stability maximization criterion. The transient response of the primary system is optimized when the coupled system becomes defective, namely having three pairs of coalesced conjugate poles, the proof of which is also spelt out in this paper. Moreover, the analogous relationship between NTIDVA and electromagnetic dynamic vibration absorber is highlighted, facilitating the practical implementation of the proposed absorber. Finally, numerical studies suggest that compared with TDVA, NTIDVA can decrease the peak vibration amplitude of the primary system and enlarge the frequency bandwidth of vibration suppression when optimized by the extended fixed point technique, while the stability maximization criterion shows an improved transient response in terms of larger modal damping ratio and accelerated attenuation rate.


Sensors ◽  
2020 ◽  
Vol 20 (20) ◽  
pp. 5880
Author(s):  
Yue Liu ◽  
Tiansheng Hong ◽  
Zhen Li

In order to reduce the vibration of mountain self-propelled electric monorail transporters (MSEMT) caused by the impact of the meshing of roller gear with toothed rail (MRGTR), and to improve the stability and safety of monorail transporters, this paper theoretically analyzed the MRGTR mechanism of toothed monorail transporters as well as established the MSEMT displacement model and its instantaneous velocity model. The vibration signals of MSEMT with four different parameters of toothed rail were collected by the acceleration sensor and signal acquisition system. The signals were analyzed by the Hilbert envelope demodulation method to investigate the influence of toothed rail parameters on meshing impact vibration. Moreover, taking the vibration acceleration amplitude of MSEMT and the vibration attenuation time of meshing impact as evaluation indexes, a test based on the three-factor and two-level orthogonal test was engaged with factors of toothed rail pressure angle, the ratio of L—the chord length of two adjacent roller centers of a roller gear—and rack pitch p (wheel-tooth ratio) and the load mass of the MSEMT. It showed that the impact of MRGTR was the main excitation source of the vibration of MSEMT. The pressure angle and wheel-tooth ratio both have a significant impact on the smooth operation of MSEMT, the latter to a greater extent. So did the interaction between wheel-tooth ratio and load mass. The amplitude of the characteristic frequency of the MSEMT decreased with the growth of the pressure angle. When the wheel-tooth ratio was cosα, the number of the characteristic frequency was less than that when it was 1, and the amplitude became smaller too. When the pressure angle was 15, the amplitude of vibration acceleration characteristic frequency decreased as a consequence of load mass increasing. At the pressure angle of 25, the amplitude of characteristic frequency decreased with the increase of load mass if the wheel-tooth ratio was 1, and the opposite result occurs in the case when the wheel-tooth ratio was cosα. This paper provides a theoretical basis and reference for improving the impact vibration of MRGTR and optimizing the design of the toothed rail.


2013 ◽  
Vol 20 (4) ◽  
pp. 665-680 ◽  
Author(s):  
Yushu Bian ◽  
Zhihui Gao

Due to the presence of system flexibility, impact can excite severe large amplitude vibration responses of the flexible robotic manipulator. This impact vibration exhibits characteristics of remarkable nonlinearity and strong energy. The main goal of this study is to put forward an energy-based control method to absorb and attenuate large amplitude impact vibration of the flexible robotic manipulator. The method takes advantage of internal resonance and is implemented through a vibration absorber based on the transfer and dissipation of energy. The addition of the vibration absorber to the flexible arm generates a coupling effect between vibration modes of the system. By means of analysis on 2:1 internal resonance, the exchange of energy is proven to be existent. The impact vibrational energy can be transferred from the arm to the absorber and dissipated through the damping of the absorber. The results of numerical simulations are promising and preliminarily verify that the method is feasible and can be used to combat large amplitude impact vibration of the flexible manipulator undergoing rigid motion.


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