Determining the effect of detuning parameters on the absorption region for a coupled nonlinear system of varying orientation

Liang

2018

Shock and Vibration

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.

Section: Shock and Vibrationmentioning

confidence: 99%

Vibration Reduction for a Flexible Arm Using Magnetorheological Elastomer Vibration Absorber

Liang

2018

Shock and Vibration

“…Similarly, these two equations are solved within the k-th time subinterval Dt k , (k ¼ 1; 2; Á Á Á ; n h ). In order to solve the nonlinear problem, the general solution (20) and (21) can be expressed in the form of complex function for the convenience of computation, i.e.…”

Section: Perturbation Solutionmentioning

confidence: 99%

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

Journal of Low Frequency Noise, Vibration and Active Control

2018

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.

“…Ashour and Nayfeh [14] designed an active vibration controller for a flexible structure based on internal resonance and saturation phenomenon. Yaman and Sen [15] studied vibration absorption problem concerning a cantilever beam with a tip mass and pendulum which is attached to the tip mass. Hui et al [16] used the internally resonant energy transfer from the symmetrical to antisymmetrical mode to reduce the source mass vibration.…”

Section: Introductionmentioning

confidence: 99%

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

Fan³

2015

Shock and Vibration

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.