Download pdf
Active control of membrane structure vibration based on sliding mode control
- 1 School of Mechanical and Electrical Engineering, China University of Petroleum , Qingdao, China
* Author to whom correspondence should be addressed.
Abstract
This paper studies the active vibration control of membrane structure by piezoelectric actuator. Firstly, the nonlinear vibration equation is established for membrane structure and the vibration equation is supplemented on the basis of the system equation established by Liu Xiang et al., and then the multi-mode dynamic model is obtained by Galerkin decomposition for the four-degree-of-freedom modes. After that, the Sliding Mode Controller is designed to suppress the large initial displacement vibration of the membrane structure and the continuous external excitation of the membrane structure. The stability of the controller is proved by using the Lyaplov stability theory and the effectiveness of the controller is verified by numerical simulation. In addition, the control effect of synovial control is compared with that of negaive velocity feedback control, which proves that synovial control has better robustness.
Keywords
Menbrane structure,Active control,SMC controller,Nonlinear vibration
[1]. Lu, YF (Lu, Yifan):Nonlinear vibration control effects of membrane structures with in-plane PVDF actuators: A parametric study.122, 0, 103466(2020).
[2]. Lu, YF (Lu, Yifan) [1] ; Shao, Q (Shao, Qi) [1] :Optimal Vibration Control of Membrane Structures with In-Plane Polyvinylidene Fluoride Actuators.20, 8, 2050095(2020).
[3]. Yang Liu, Weizhong Zhang:SVD Approach for Actuator and Sensor Placement in Active Vibration Control of Large Cable Net Structures.28, 4, 675-686(2019).
[4]. Liu, X (Liu, Xiang):Piezoelectric Actuator Placement Optimization and Active Vibration Control of a Membrane Structure.31, 1, 66-79(2018).
[5]. Liu, X (Liu, Xiang) :Active control of large-amplitude vibration of a membrane structure. 93, 2, 629-642(2018).
[6]. Liu, X (Liu, Xiang):Nonlinear vibration control of a membrane antenna structure.233, 9, 3273-3285(2019).
[7]. Liu, X (Liu, Xiang):Active nonlinear vibration control of a membrane solar array structure.236, 15, 3186-3200(2020).
[8]. Liu, X (Liu, Xiang) :Hybrid control of a satellite with membrane antenna considering nonlinear vibration.117, 106962(2021).
[9]. hen, TZ (Chen, Tian-Ze):Dynamic modeling and control of a solar sail considering large-amplitude nonlinear vibration.141, 0, 109499(2023).
[10]. Ruggiero, E.J., Inman, D.J.: Modeling and control of a 1-D membrane strip with an integrated PZT bimorph. In: ASME:international mechanical engineering congress and exposition, Orlando, USA (2005).
[11]. Renno, J.M., Inman, D.J.: Modeling and control of a membrane strip using a single piezoelectric bimorph. J. Vib. Control 15, 391–414 (2009).
[12]. Renno, J.M., Inman, D.J., Chevva, K.R.: Nonlinear control of a membrane mirror strip actuated axially and in bending. AIAA J. 47, 484–493 (2009).
[13]. Toshiki Hiruta:Experimental validation of vibration control in membrane structures using dielectric elastomer actuators in a vacuum environment.191, 0, 106049(2021).
[14]. L. Dai:Control of an extending nonlinear elastic cable with an active vibration control strategy.19.10.3901-3912(2014)
Cite this article
Dong,X. (2025). Active control of membrane structure vibration based on sliding mode control. Theoretical and Natural Science,95,47-52.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
Disclaimer/Publisher's Note
The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of EWA Publishing and/or the editor(s). EWA Publishing and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
About volume
Volume title: Proceedings of the 2nd International Conference on Applied Physics and Mathematical Modeling
© 2024 by the author(s). Licensee EWA Publishing, Oxford, UK. This article is an open access article distributed under the terms and
conditions of the Creative Commons Attribution (CC BY) license. Authors who
publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons
Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this
series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published
version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial
publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and
during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See
Open access policy for details).