Vibration Suppression and Compliance Control of a Flexible Cantilever Beam using Manipulators

2021 ◽  
Author(s):  
Xianwei Yuan ◽  
Pengyu Jie ◽  
Yuhao Meng ◽  
Haiping Zhou ◽  
Ke Li ◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Compliance Control

scholarly journals Cantilever Beam Metastructure for Active Broadband Vibration Suppression

2020 ◽  
Author(s):  
Ratiba Fatma Ghachi ◽  
Wael Alnahhal ◽  
Osama Abdeljaber
Keyword(s):  
Cantilever Beam ◽  
Natural Frequencies ◽  
Vibration Suppression ◽  
Research Work ◽  
Peak Frequency ◽  
Experimental Frequency ◽  
Transmission Frequency ◽  
Vibration Attenuation ◽  
The Masses ◽  
Zigzag Structure

This paper presents a beam structure of a new metamaterial-inspired dynamic vibration attenuation system. The proposed experimental research presents a designed cantilevered zigzag structure that can have natural frequencies orders of magnitude lower than a simple cantilever of the same scale. The proposed vibration attenuation system relies on the masses places on the zigzag structure thus changing the dynamic response of the system. The zigzag plates are integrated into the host structure namely a cantilever beam with openings, forming what is referred to here as a metastructure. Experimental frequency response function results are shown comparing the response of the structure to depending on the natural frequency of the zigzag structures. Results show that the distributed inserts in the system can split the peak response of the structure into two separate peaks rendering the peak frequency a low transmission frequency. These preliminary results provide a view of the potential of research work on active-controlled structures and nonlinear insert-structure interaction for vibration attenuation.

Nonlinear Normal Modes of a Continuous Cantilever Beam with Nonlinear Energy Sink Absorber

2013 ◽  
Vol 325-326 ◽  
pp. 214-217
Author(s):  
Yong Chen ◽  
Yi Xu
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Normal Modes ◽  
Nonlinear Energy Sink ◽  
Nonlinear Normal Modes ◽  
Harmonic Excitation ◽  
Energy Sink ◽  
Nonlinear Normal ◽  
Nonlinear Energy ◽  
Good Agreement

Using nonlinear energy sink absorber (NESA) is a good countermeasure for vibration suppression in wide board frequency region. The nonlinear normal modes (NNMs) are helpful in dynamics analysis for a NESA-attached system. Being a primary structure, a cantilever beam whose modal functions contain hyperbolic functions is surveyed, in case of being attached with NESA and subjected to a harmonic excitation. With the help of Galerkins method and Raushers method, the NNMs are obtained analytically. The comparison of analytical and numerical results indicates a good agreement, which confirms the existence of the nonlinear normal modes.

scholarly journals Self-Sensing Vibration Suppression of Piezoelectric Cantilever Beam Based on Improved Mirror Circuit

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 148381-148392 ◽  
Author(s):  
Bin Ju ◽  
Zhihua Guo ◽  
Yongbin Liu ◽  
Gang Qian ◽  
Lanbing Xu ◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Piezoelectric Cantilever

scholarly journals Adaptive backstepping fuzzy sliding mode vibration control of flexible structure

2018 ◽  
Vol 37 (4) ◽  
pp. 1079-1096 ◽  
Author(s):  
Yunmei Fang ◽  
Juntao Fei ◽  
Tongyue Hu
Keyword(s):  
Sliding Mode Control ◽  
Cantilever Beam ◽  
Vibration Suppression ◽  
Sliding Mode ◽  
Nonlinear Function ◽  
Reference Trajectory ◽  
Adaptive Backstepping ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode

An adaptive backstepping fuzzy sliding mode control is proposed to approximate the unknown system dynamics for a cantilever beam in this paper. The adaptive backstepping fuzzy sliding mode control is developed by combining the backstepping method with adaptive fuzzy strategy, where backstepping design approach is used to drive the trajectory tracking errors to converge to zero rapidly with global asymptotic stability and fuzzy logic system is designed to approximate the unknown nonlinear function in the adaptive backstepping fuzzy sliding mode control. The proposed backstepping controllers can ensure proper tracking of the reference trajectory, and impose a desired dynamic behavior, giving robustness and insensitivity to parameter variations. Numerical simulation for cantilever beam is investigated to verify the effectiveness of the proposed adaptive backstepping fuzzy sliding mode control scheme and demonstrate the satisfactory vibration suppression performance.

scholarly journals Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches

2017 ◽  
Vol 13 (1) ◽  
pp. 50-65
Author(s):  
Shibly A. AL-Samarraie ◽  
Mohsin N. Hamzah ◽  
Imad A. Abdulsahib
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Sliding Mode ◽  
Control Design ◽  
Sliding Mode Observer ◽  
Reduced Order Model ◽  
Control Law ◽  
Order Model ◽  
Reduced Order ◽  
Tip Displacement

This paper presents a vibration suppression control design of cantilever beam using two piezoelectric ‎patches. One patch was used as ‎an actuator element, while the other was used as a sensor. The controller design was designed via the balance realization reduction method to elect the reduced order model that is most controllable and observable. ‎the sliding mode observer was designed to estimate six states from the reduced order model but three states are only used in the control law. Estimating a number of states larger than that used is in order to increase the estimation accuracy. Moreover, the state ‎estimation error is proved bounded. An ‎optimal LQR controller is designed then using the ‎estimated states with the sliding mode observer, to ‎suppress the vibration of a smart cantilever ‎beam via the piezoelectric elements. The control spillover problem was avoided, by deriving an avoidance ‎condition, to ensure the ‎asymptotic stability for the proposed vibration ‎control design. ‎The numerical simulations were achieved to ‎test the vibration attenuation ability of the ‎proposed optimal control. For 15 mm initial tip ‎displacement, the piezoelectric actuator found ‎able to reduce the tip displacement to about 0.1 ‎mm after 4s, while it was 1.5 mm in the ‎open loop case.  The current experimental results showed a good performance of the proposed LQR control law and the sliding mode observer, as well a good agreement with theoretical results.

Vibration Suppression in a Cantilever Beam Using a String-Type Vibration Absorber

2010 ◽  
Author(s):  
Jimmy S. Issa ◽  
Wassim F. Habchi
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Maximum Amplitude ◽  
String Tension ◽  
Fine Tuning ◽  
Vibration Absorber ◽  
Maximum Displacement ◽  
String Type ◽  
Genetic Algorithm Approach ◽  
Fixed End

A string-type vibration absorber is proposed to suppress energy from a vibrating beam. A cantilever beam is considered with a harmonic force applied at its free end. The vibration absorber is a string attached to the beam at two different points. The string is rigidly connected to the fixed end of the beam and through a spring and damper to a second point on the beam. The finite element method is used to model the system and a reduced order model is obtained through modal reduction performed on both the string and the beam. The steady state amplitude of the transverse vibration of the beam is calculated using the first two modes of the beam-string system. It is found that the maximum amplitude at a given point of the beam occurs at a forcing frequency which is a root of a sixth order polynomial. The design of the vibration absorber is done in two steps. In the first, the spring stiffness, the position of the second attachment point of the string and a preliminary damping constant are calculated using a genetic algorithm approach where the objective function is the maximum displacement on the beam. Fine tuning is done in the second optimization step, by choosing an appropriate damping constant to further improve the design. To avoid buckling, the string tension is set to a value less than the lowest buckling force of the system. Numerical simulations of the beam’s maximum amplitude with and without absorber are shown to validate the proposed design.

scholarly journals A Comparison between Integer and Fractional Order PDμ Controllers for Vibration Suppression

2016 ◽  
Vol 1 (1) ◽  
pp. 273-282 ◽  
Author(s):  
Isabela R. Birs ◽  
Cristina I. Muresan ◽  
Silviu Folea ◽  
Ovidiu Prodan
Keyword(s):  
Frequency Domain ◽  
Cantilever Beam ◽  
Fractional Order ◽  
Vibration Suppression ◽  
Fractional Order Control ◽  
Control Approach ◽  
Active Vibration Suppression ◽  
Derivative Type ◽  
Active Vibration ◽  
Airplane Wing

AbstractAlong the years, unwanted vibrations in airplane wings have led to passenger discomfort. In this study, the airplane wing is modeled as a cantilever beam on which active vibration suppression is tested. The paper details the tuning of both integer and fractional order Proportional Derivative type controllers based on constraints imposed in the frequency domain. The controllers are experimentally validated and the results prove once more the superiority of the fractional order control approach.

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