Technical Papers
May 21, 2018

Active Vibration Control of an Axially Moving Cantilever Structure Using PZT Actuator

Publication: Journal of Aerospace Engineering
Volume 31, Issue 5

Abstract

In this article, vibration characteristics and active vibration control (AVC) of an axially moving cantilever structure are investigated. First, the vibration equation of an axially moving cantilever beam with variable length and tip mass is derived from the Lagrange equation of the second kind. The natural frequencies and modes of vibration are calculated by solving a differential equation. Then, in order to suppress the transverse vibration of the axially moving cantilever structure, piezoelectric (PZT) ceramics are used as actuator in combination with proportional plus derivative (PD) or fuzzy algorithm to build a closed-loop feedback system. The simulation of AVC with two controllers is implemented using a commercially available software platform. The numerical examples illustrate that velocity and tip mass significantly affect vibration characteristics. The simulation results suggest that the PZT actuator is effective to suppress vibration.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11172229).

References

Fujii, H. A., Y. Sugimoto, T. Watanabe, and T. Kusagaya. 2015. “Tethered actuator for vibration control of space structures.” Acta Astronaut. 117: 55–63. https://doi.org/10.1016/j.actaastro.2015.07.029.
Fung, R. F., P. Y. Lu, and C. C. Tseng. 1998. “Non-linearly dynamic modelling of an axially moving beam with a tip mass.” J. Sound Vib. 218 (4): 559–571. https://doi.org/10.1006/jsvi.1998.1859.
Hurlebaus, S., and L. Gaul. 2006. “Smart structure dynamics.” Mech. Syst. Sig. Process. 20 (2): 255–281. https://doi.org/10.1016/j.ymssp.2005.08.025.
Kumar, K. R., and S. Narayanan. 2008. “Active vibration control of beams with optimal placement of PZT sensor/actuator pairs.” Smart Mater. Struct. 17 (5): 6777–6790. https://doi.org/10.1088/0964-1726/17/5/055008.
Luo, Y. J., M. L. Xu, B. Yan, and X. N. Zhang. 2015. “PD control for vibration attenuation in hoop truss structure based on a novel PZT bending actuator.” J. Sound Vib. 339: 11–24. https://doi.org/10.1016/j.jsv.2014.11.003.
Ma, G. L., M. L. Xu, L. Q. Chen, and Z. Y. An. 2015. “Transverse free vibration of axially moving stepped beam with different length and tip mass.” Shock Vib. 2015: 1–11. https://doi.org/10.1155/2015/507581..
Miao, W. K., M. L. Xu, and C. S. Wu. 2014. “Active vibration control of cantilever beam using MFC sensor and actuator.” In Recent Advances in Structural Integrity Analysis: Proc., Int. Congress, Asian-Pacific Conference on Fracture and Strength 2014 (APCFS-2014) with the Int. Conf. on Structural Integrity and Failure (SIF-2014), 447–452. Cambridge, UK: Woodhead Publishing.
Panda, S., N. H. Reddy, and A. S. P. Kumar. 2015. “Design and finite element analysis of a short PZT fiber-reinforced composite actuator.” Arch. Appl. Mech. 85 (5): 691–711. https://doi.org/10.1007/s00419-015-0982-y.
Ponomareva, S. V., and W. T. van Horssen. 2009. “On the transversal vibrations of an axially moving continuum with a time-varying velocity: Transient from string to beam behaviour.” J. Sound Vib. 325 (4–5): 49–55. https://doi.org/10.1016/j.jsv.2009.03.038.
Ro, J. J., C. C. Chien, T. Y. Wei, and S. J. Sun. 2007. “Flexural vibration control of the circular handlebars of a bicycle by using MFC actuators.” J. Vib. Control 13 (7): 969–987. https://doi.org/10.1177/1077546307078740.
Rossetti, G., Jr., A. Pizzochero, and A. Bent. 2000. “Recent advances in active fiber composites technology.” In Proc., 12th IEEE Int. Symp. on Applications of Ferroelectrics, 753–756. New York: IEEE.
Song, G., P. Qiao, W. Binienda, and G. Zou. 2002. “Active vibration damping of composite beam using smart sensors and actuators.” J. Aerosp. Eng. 15 (3): 97–103. https://doi.org/10.1061/(ASCE)0893-1321(2002)15:3(97).
Song, G., V. Sethi, and H. N. Li. 2006. “Vibration control of civil structures using piezoceramic smart materials: A review.” Eng. Struct. 28 (11): 1513–1524. https://doi.org/10.1016/j.engstruct.2006.02.002.
Stylianou, M., and B. Tabarrok. 1994. “Finite element analysis of an axially moving beam. I: Time integration.” J. Sound Vib. 178 (4): 433–453. https://doi.org/10.1006/jsvi.1994.1497.
Wang, L., H. Chen, and X. He. 2011. “Active H∞ control of the vibration of an axially moving cantilever beam by magnetic force.” Mech. Syst. Sig. Process. 25 (8): 2863–2878. https://doi.org/10.1016/j.ymssp.2011.05.009.
Wang, Z. W., T. J. Li, and Y. Y. Cao. 2013. “Active shape adjustment of cable net structures with PZT actuators.” Aerosp. Sci. Technol. 26 (1): 160–168. https://doi.org/10.1016/j.ast.2012.03.001.
Wu, D., L. Huang, B. Pan, Y. Wang, and S. Wu. 2014. “Experimental study and numerical simulation of active vibration control of a highly flexible beam using PZT intelligent material.” Aerosp. Sci. Technol. 37: 10–19. https://doi.org/10.1016/j.ast.2014.04.008.
Yang, T. Z., and B. Fang. 2012. “Stability in parametric resonance of an axially moving beam constituted by fractional order material.” Arch. Appl. Mech. 82 (12): 1763–1770. https://doi.org/10.1007/s00419-012-0624-6.
Zhang, C. L., X. N. Zhang, M. L. Xu, and Y. J. Luo. 2014. “Active control of honeycomb sandwich plate using MFC PZT actuators.” Int. J. Appl. Electromagnet. Mech. 45 (1): 83–91. https://doi.org/10.3233/JAE-141816.
Zhao, L., and Z. D. Hu. 2015. “Active vibration control of an axially translating robot arm with rotating-prismatic joint using self-sensing actuator.” Shock Vib. 2015: 1–11. https://doi.org/10.1155/2015/964139.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 31Issue 5September 2018

History

Received: Nov 13, 2015
Accepted: Nov 22, 2017
Published online: May 21, 2018
Published in print: Sep 1, 2018
Discussion open until: Oct 21, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Guoliang Ma [email protected]
Ph.D. Candidate, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong Univ., No. 28, Xianning West Rd., 710049 Xi’an, China. Email: [email protected]
Minglong Xu [email protected]
Professor, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong Univ., No. 28, Xianning West Rd., 710049 Xi’an, China (corresponding author). Email: [email protected]
Shuwen Zhang [email protected]
Ph.D. Candidate, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong Univ., No. 28, Xianning West Rd., 710049 Xi’an, China. Email: [email protected]
Yahong Zhang [email protected]
Associate Professor, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong Univ., No. 28, Xianning West Rd., 710049 Xi’an, China. Email: [email protected]
Xiaoming Liu [email protected]
Ph.D. Candidate, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong Univ., No. 28, Xianning West Rd., 710049 Xi’an, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share