scholarly journals Vibration Reduction for a Flexible Arm Using Magnetorheological Elastomer Vibration Absorber

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Yushu Bian ◽  
Xuefeng Liang ◽  
Zhihui Gao
Keyword(s):  
Nonlinear Vibration ◽  
Internal Resonance ◽  
Control Method ◽  
Resonance Condition ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Semiactive Control ◽  
Magnetorheological Elastomer ◽  
Flexible Arm ◽  
Transfer Channel

The application of the magnetorheological elastomer (MRE) to nonlinear vibration control for a flexible arm is investigated in this paper. A semiactive control method is suggested to reduce vibration via the internal resonance and the MRE. To establish a vibration energy transfer channel, a tuned vibration absorber based on the MRE is developed. Through adjusting the coil current, the frequency of the vibration absorber can be readily controlled by the external magnetic field, thereby maintaining the internal resonance condition with the flexible arm. By the perturbation analysis, it is proven that the internal resonance can be successfully established between the flexible arm and the MRE vibration absorber, and the vibration energy of the flexible arm can be transferred to and dissipated by the MRE vibration absorber. Through numerical simulations, virtual prototyping simulations, and experimental investigation, it is verified that the proposed method and the suggested MRE vibration absorber are effective in controlling nonlinear vibration of the flexible arm.

scholarly journals Nonlinear vibration control for flexible manipulator using 1: 1 internal resonance absorber

2018 ◽  
Vol 37 (4) ◽  
pp. 1053-1066 ◽  
Author(s):  
Yushu Bian ◽  
Zhihui Gao
Keyword(s):  
Nonlinear Vibration ◽  
Internal Resonance ◽  
Resonance State ◽  
Flexible Manipulator ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Main Task ◽  
Vibration Absorption ◽  
Transfer Channel ◽  
Nonlinear Vibration Control

The main task of this paper is to put forward a vibration absorption method for attenuating nonlinear vibration of the flexible manipulator based on modal interaction. A vibration absorber is suggested to establish the 1:1 internal resonance state with the flexible manipulator, thereby transferring the vibration energy from the flexible manipulator to the vibration absorber. In the presence of damping, the vibration energy of the flexible manipulator can be effectively dissipated by the vibration absorber. Since this method puts an emphasis on constructing an internal energy transfer channel between the flexible manipulator and the vibration absorber rather than directly responding to external excitations, it is particularly convenient to reduce nonlinear vibration induced by unknown external excitations. Numerical simulations and virtual prototyping simulations have verified this method’s feasibility.

scholarly journals A Vibration Control Method for the Flexible Arm Based on Energy Migration

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yushu Bian ◽  
Zhihui Gao ◽  
Ming Fan
Keyword(s):  
Vibration Control ◽  
Internal Resonance ◽  
Control Method ◽  
Rigid Motion ◽  
Energy Migration ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Enhancement Effect ◽  
Inertial Coupling ◽  
Flexible Arm

A vibration control method based on energy migration is proposed to decrease vibration response of the flexible arm undergoing rigid motion. A type of vibration absorber is suggested and gives rise to the inertial coupling between the modes of the flexible arm and the absorber. By analyzing 1 : 2 internal resonance, it is proved that the internal resonance can be successfully created and the exchange of vibration energy is existent. Due to the inertial coupling, the damping enhancement effect is revealed. Via the inertial coupling, vibration energy of the flexible arm can be dissipated by not only the damping of the vibration absorber but also its own enhanced damping, thereby effectively decreasing vibration. Through numerical simulations and analyses, it is proven that this method is feasible in controlling nonlinear vibration of the flexible arm undergoing rigid motion.

Theoretical and experimental study on vibration control of flexible manipulator based on internal resonance

2017 ◽  
Vol 24 (15) ◽  
pp. 3321-3337 ◽  
Author(s):  
Yushu Bian ◽  
Zhihui Gao ◽  
Xin Lv ◽  
Ming Fan
Keyword(s):  
Experimental Study ◽  
Experimental Investigation ◽  
Vibration Control ◽  
Internal Resonance ◽  
Control Method ◽  
Experimental Studies ◽  
Rigid Motion ◽  
Flexible Manipulator ◽  
Vibration Energy ◽  
Vibration Absorber

Theoretical and experimental studies are conducted to control nonlinear vibration of a two-link flexible manipulator via internal resonance. A vibration control method is proposed and an effective vibration absorber is implemented based on a servomotor to establish a 2:1 internal resonance relationship with the flexible manipulator. By way of perturbation analysis, it is proven that internal resonance can be successfully established for the flexible manipulator undergoing rigid motion. In the presence of damping, the vibration energy of the flexible manipulator can be transferred to and dissipated by the vibration absorber via internal resonance. Numerical simulations and experimental investigation have verified the effectiveness and feasibility of the proposed method.

ENERGY HARVESTING USING A NONLINEAR VIBRATION ABSORBER

2016 ◽  
Vol 40 (2) ◽  
pp. 221-230
Author(s):  
Yu Zhang ◽  
Riccardo De Rosa ◽  
Jingyi Zhang ◽  
Mariam Alameri ◽  
Kefu Liu
Keyword(s):  
Energy Harvesting ◽  
Nonlinear Vibration ◽  
Vibration Suppression ◽  
System Modeling ◽  
Electric Energy ◽  
Harmonic Excitation ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Nonlinear Vibration Absorber

In this study, an energy harvesting device based on a nonlinear vibration absorber is developed to achieve two objectives: vibration suppression and energy harvesting in a wideband manner. First, the proposed design is described. Next, the system modeling is addressed. The parameter characterization is presented. Then, the performance of the nonlinear vibration absorber is tested by sweeping harmonic excitation. The testing results have shown that the device can suppress vibration and convert vibration energy into electric energy in a broadband manner.

Vibration Control of the Flexible Robotic Arm through Modal Interaction

2014 ◽  
Vol 490-491 ◽  
pp. 1142-1145
Author(s):  
Zhi Hui Gao ◽  
Bing Dong Liu ◽  
Bo Shan
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Perturbation Technique ◽  
Equations Of Motion ◽  
Rigid Motion ◽  
Robotic Arm ◽  
Vibration Absorber ◽  
Modal Interaction ◽  
Flexible Arm ◽  
Nonlinear Equations Of Motion

A vibration control method is proposed to suppress nonlinear large vibration of the flexible robotic arm undergoing rigid motion. The method takes advantage of modal interaction and is implemented based on internal resonance. To attenuate vibration of the flexible arm, another vibrating system, consisting of a rigid link, a flexible joint and a damper, is introduced as a vibration absorber. Perturbation technique is used to study the transient response of the nonlinear equations of motion. Numerical simulation results preliminarily verify that the proposed control strategy is able to effectively reduce vibration of the flexible robotic arm.

scholarly journals Nonlinear Dynamic Analysis of High-Voltage Overhead Transmission Lines

2018 ◽  
Vol 2018 ◽  
pp. 1-35 ◽  
Author(s):  
Meng Zhang ◽  
Guifeng Zhao ◽  
Jie Li
Keyword(s):  
Transmission Line ◽  
Nonlinear Vibration ◽  
Transmission Lines ◽  
Internal Resonance ◽  
Nonlinear Dynamic Analysis ◽  
Primary Resonance ◽  
Vibration Energy ◽  
Overhead Transmission Lines ◽  
Out Of Plane ◽  
Plane Direction

According to a generalized Hamilton’s principle, three-dimensional (3D) nonlinear vibration equations for overhead transmission lines that consider geometric nonlinearity are established. Based on the characteristics of an actual transmission line, the 3D equations are simplified to two-dimensional equations, and the nonlinear vibration behavior of transmission lines is investigated by combining theoretical analysis with numerical simulation. The results show that transmission lines have inherently nonlinear vibration characteristics. When in free vibration, a transmission line can undergo nonlinear internal resonance, even when its initial out-of-plane energy is relatively low; as its initial out-of-plane energy increases, the coupling of in-plane and out-of-plane vibration becomes stronger. When forced to vibrate by an external excitation, due to the combined action of internal and primary resonance, the vibration energy of a transmission line transfers from the out-of-plane direction to the in-plane direction that is not directly under the excitation, resulting in an increase in the dynamic tension and the displacement amplitude of the transmission line. Increasing damping can consume the vibration energy of a transmission line but cannot prevent the occurrence of internal resonance.

Nonlinear Vibration Absorber for Mitigation of Torsional Vibrations

2012 ◽  
Author(s):  
Ammaar Bin Tahir ◽  
Oleg Shiryayev ◽  
Hamad Karki ◽  
Nader Vahdati
Keyword(s):  
Nonlinear Vibration ◽  
Degrees Of Freedom ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Torsional Vibrations ◽  
Energy Absorber ◽  
Nonlinear Vibration Absorber ◽  
Stiffness Characteristic ◽  
Nonlinear Energy ◽  
Cubic Stiffness

This work discusses the effects of utilizing a nonlinear energy absorber with linear and cubic stiffness characteristic in mitigating torsional vibrations in a 5 degrees-of-freedom (5-DOF) rotational system. Results comparing the effects of adding a linear TMD in the system with those obtained by adding an NES are presented which demonstrate the usefulness of an NES over a conventional TMD. Subsequently, a simpler translational system comprising of an NES is considered and an optimization-based tuning methodology is used in order to tune the NES for maximum dissipation of vibration energy. The results are compared with those obtained for the system with a linear absorber.

Nonlinear Vibration of a Thin-Plate Workpiece During High Speed Milling Under 1:1 Internal Resonance Condition

2012 ◽  
Author(s):  
Wei Zhang ◽  
Rui Zhou ◽  
Jean W. Zu ◽  
Qian Wang
Keyword(s):  
Nonlinear Vibration ◽  
Thin Plate ◽  
Internal Resonance ◽  
High Speed ◽  
Plate Theory ◽  
Resonance Condition ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Milling Process ◽  
Phase Portraits

In this paper, the nonlinear vibration of a thin-plate workpiece during milling process is investigated. The thin-plate workpiece is modeling as a cantilevered thin plate. The equations of motion for the thin-plate workpiece are derived based on the Kirchhoff-plate theory and the von Karman strain-displacement relations by using the Hamilton’s principle. By applying the Galerkin’s approach, the resulting equations are reduced to a two-degree-of-freedom nonlinear system with external excitations. Considering the case of 1:1 internal resonance, the method of Asymptotic Perturbation method is utilized to obtain the averaged equations of the cantilevered thin-plate workpiece. Numerical method is used to study nonlinear dynamics of the cantilevered thin plate and get the two-dimensional phase portraits, waveforms phase, three-dimensional phase and frequency spectrum phase. The result shows that the cantilevered thin-plate workpiece exhibits the complex dynamic behavior with the increase of the amplitude of the forcing excitation.

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