SINGLE-MODE VIBRATION SUPPRESSION FOR A BEAM–MASS–CART SYSTEM USING INPUT PRESHAPING WITH A ROBUST INTERNAL-LOOP COMPENSATOR

2001 ◽  
Vol 241 (4) ◽  
pp. 693-716 ◽  
Author(s):  
S. PARK ◽  
B.K. KIM ◽  
Y. YOUM
Keyword(s):  
Vibration Suppression ◽  
Single Mode ◽  
Internal Loop ◽  
Mode Vibration

The Two-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration Under Random and Harmonic Excitation

2005 ◽  
Vol 128 (1) ◽  
pp. 56-65 ◽  
Author(s):  
Lei Zuo ◽  
Samir A. Nayfeh
Keyword(s):  
Vibration Suppression ◽  
Single Mode ◽  
Tuned Mass Damper ◽  
Harmonic Excitation ◽  
Degree Of Freedom ◽  
Primary System ◽  
H Infinity ◽  
Mass Damper ◽  
Mode Vibration ◽  
Two Degree Of Freedom

Whenever a tuned-mass damper is attached to a primary system, motion of the absorber body in more than one degree of freedom (DOF) relative to the primary system can be used to attenuate vibration of the primary system. In this paper, we propose that more than one mode of vibration of an absorber body relative to a primary system be tuned to suppress single-mode vibration of a primary system. We cast the problem of optimization of the multi-degree-of-freedom connection between the absorber body and primary structure as a decentralized control problem and develop optimization algorithms based on the H2 and H-infinity norms to minimize the response to random and harmonic excitations, respectively. We find that a two-DOF absorber can attain better performance than the optimal SDOF absorber, even for the case where the rotary inertia of the absorber tends to zero. With properly chosen connection locations, the two-DOF absorber achieves better vibration suppression than two separate absorbers of optimized mass distribution. A two-DOF absorber with a negative damper in one of its two connections to the primary system yields significantly better performance than absorbers with only positive dampers.

Reducing Multiple Modes of Vibration by Digital Filtering and Input Shaping

2010 ◽  
Author(s):  
Joshua Vaughan ◽  
William Singhose
Keyword(s):  
Vibration Suppression ◽  
Single Mode ◽  
Input Shaping ◽  
Notch Filters ◽  
Modes Of Vibration ◽  
Design Computation ◽  
Mode Vibration ◽  
Notch Filtering ◽  
Multi Mode ◽  
Better Than

The residual vibration of flexible systems can be reduced by properly shaping the reference command. There has been substantial evidence presented that input shaping is better than notch filtering for shaping reference commands to suppress vibration in mechanical systems. Much of this evidence is empirical comparisons between traditional filters and robust input shapers. Recently, a proof showing that notch filters are always equal to or longer in duration than an input shaper with identical single-mode vibration suppression constraints was presented. This paper expands on that previous result by extending the proof to multi-mode systems. The important ramification of this proof is that multi-mode input shapers suppress vibration more quickly than multi-mode notch filters. Ease of design, computation, and implementation are also discussed. Simulations of an industrial bridge crane demonstrate the key differences between the two methods.

The Multi-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration Under Random and Harmonic Excitation

2003 ◽  
Author(s):  
Lei Zuo ◽  
Samir A. Nayfeh
Keyword(s):  
Decentralized Control ◽  
Vibration Suppression ◽  
Single Mode ◽  
Tuned Mass Damper ◽  
Harmonic Excitation ◽  
Degree Of Freedom ◽  
Primary System ◽  
H Infinity ◽  
Mass Damper ◽  
Mode Vibration

Whenever a tuned-mass damper is attached to a primary system, there is potential for utilization of motion of the absorber body in more than one degree of freedom relative to the primary system. In this paper, we propose that more than one mode of vibration of an absorber body relative to a primary system be tuned to a single natural frequency of the primary system. We cast the problem of optimizing the multi-degree-of-freedom connection between the absorber body and primary structure as a decentralized control problem, and develop optimization algorithms based on the H2 and H-infinity norms to minimize the response to random and harmonic excitations, respectively. We find that a two-DOF absorber can attain better performance than the optimal SDOF absorber, even for the case where the rotary inertia of the absorber tends to be zero. With properly chosen connection locations, the two-DOF absorber can achieve better vibration suppression than two separate absorbers of optimized mass distribution. We also find that a two-DOF absorber with negative dampers in some of the connections to the primary system can obtain much better performance than absorbers with only positive dampers.

Input Preshaping With Robust Internal–Loop Compensator for Residual Vibration Suppression of a Beam–Mass–Cart System

2000 ◽  
Author(s):  
S. Park ◽  
B. K. Kim ◽  
W. K. Chung ◽  
Y. Youm
Keyword(s):  
Numerical Simulations ◽  
Vibration Suppression ◽  
Elastic Beam ◽  
Single Mode ◽  
Moving Mass ◽  
Residual Vibration ◽  
Concentrated Mass ◽  
Internal Loop ◽  
Residual Vibration Suppression

Abstract In this paper, vibration suppression of an elastic beam fixed on a moving cart and carrying a concentrated or moving mass is considered. An input preshaping method with RIC (Robust Internal–loop Compensator) is proposed to suppress single mode residual vibration and to get accurate positioning of the beam–mass–cart system. The performance of the proposed input preshaping method is compared with that by previous ones by both numerical simulations and experiments. Using the proposed method, accurate PTP positioning of the moving mass without residual vibration is obtained experimentally by modifying the proposed input preshaping method. It is also able to suppress initial vibration of the beam–mass–cart system carrying a concentrated mass. Finally, the proposed input preshaping method is applied to the system to follow square trajectories of the moving mass without residual vibration.

Low-frequency multi-mode vibration suppression of a metastructure beam with two-stage high-static-low-dynamic stiffness oscillators

2019 ◽  
Vol 230 (12) ◽  
pp. 4341-4356 ◽  
Author(s):  
Qichen Wu ◽  
Gangting Huang ◽  
Chong Liu ◽  
Shilin Xie ◽  
Minglong Xu
Keyword(s):  
Vibration Suppression ◽  
Dynamic Stiffness ◽  
Low Frequency ◽  
Two Stage ◽  
Mode Vibration ◽  
Multi Mode
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