Static repair of multiple cracked beam using piezoelectric patches
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/15976Keywords:
multiple cracked beam, piezoelectric patches, static repairAbstract
This paper addresses the problem of repairing multiple cracked beams subjected to static load using piezoelectric patches. First, the problem is formulated and solved analytically for the case of two cracks that results in ratio of restoring moments produced by employed piezoelectric patches. Since the ratio is dependent only on crack positions but not their depth, the result obtained for case of two cracks has been extended for the case of multiple cracks. This proposition is then validated by finite element simulation where repairing piezoelectric patches are replaced by mechanical moment load equivalent to the restoring bending moments produced by the piezoelectric patches. The excellent agreement between analytical solution and numerical simulation results in case of single and double cracks allows making a conclusion that a piezoelectric patch could productively repair a cracked beam by producing a restoring moment due to its piezoelectricity. Thus, the problem of repairing multiple cracked beam using piezoelectric patches is solved.
Downloads
Metrics
References
R. Hou and Y. Xia. Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019. Journal of Sound and Vibration, 491, (2021).
DOI: https://doi.org/10.1016/j.jsv.2020.115741
W. H. Duan, Q. Wang, and S. T. Quek. Applications of Piezoelectric Materials in Structural Health Monitoring and Repair: Selected Research Examples. Materials, 3, (2010), pp. 5169–5194.
DOI: https://doi.org/10.3390/ma3125169
Q. Wang, S. T. Quek, and K. M. Liew. On the repair of a cracked beam with a piezoelectric patch. Smart Materials and Structures, 11, (2002), pp. 404–410.
DOI: https://doi.org/10.1088/0964-1726/11/3/311
Q. Wang, W. H. Duan, and S. T. Quek. Repair of notched beam under dynamic load using piezoelectric patch. International Journal of Mechanical Sciences, 46, (2004), pp. 1517–1533.
DOI: https://doi.org/10.1016/j.ijmecsci.2004.09.012
Q.Wang and S. T. Quek. Repair of delaminated beams via piezoelectric patches. Smart Materials and Structures, 13, (2004), pp. 1222–1229.
DOI: https://doi.org/10.1088/0964-1726/13/5/026
Q. Wang and S. T. Quek. Repair of cracked column under axially compressive load via piezoelectric patch. Computers & Structures, 83, (2005), pp. 1355–1363.
DOI: https://doi.org/10.1016/j.compstruc.2004.09.018
Q. Wang, G. Y. Zhou, and S. T. Quek. Repair of Delaminated Beams Subjected to Compressive Force via Piezoelectric Layers. Advances in Structural Engineering, 8, (2005), pp. 411–425.
DOI: https://doi.org/10.1260/136943305774353142
W. H. Duan, S. T. Quek, and Q. Wang. Finite element analysis of the piezoelectric-based repair of a delaminated beam. Smart Materials and Structures, 17, (2007).
DOI: https://doi.org/10.1088/0964-1726/17/01/015017
N. Wu and Q. Wang. Repair of vibrating delaminated beam structures using piezoelectric patches. Smart Materials and Structures, 19, (2010).
DOI: https://doi.org/10.1088/0964-1726/19/3/035027
N. Wu and Q. Wang. Repair of a delaminated plate under static loading with piezoelectric patches. Smart Materials and Structures, 19, (2010).
DOI: https://doi.org/10.1088/0964-1726/19/10/105025
A. Ariaei, S. Ziaei-Rad, and M. Ghayour. Repair of a cracked Timoshenko beam subjected to a moving mass using piezoelectric patches. International Journal of Mechanical Sciences, 52, (2010), pp. 1074–1091.
DOI: https://doi.org/10.1016/j.ijmecsci.2010.04.001
T. J.-C. Liu. Crack repair performance of piezoelectric actuator estimated by slope continuity and fracture mechanics. Engineering Fracture Mechanics, 75, (2008), pp. 2566–2574.
DOI: https://doi.org/10.1016/j.engfracmech.2007.11.004
T. G. Chondros, A. D. Dimarogonas, and J. Yao. A continuous cracked beam vibration theory. Journal of Sound and Vibration, 215, (1998), pp. 17–34.
DOI: https://doi.org/10.1006/jsvi.1998.1640
P. F. Rizos, N. Aspragathos, and A. D. Dimarogonas. Identification of crack location and magnitude in a cantilever beam from the vibration modes. Journal of Sound and Vibration, 138, (1990), pp. 381–388.
DOI: https://doi.org/10.1016/0022-460X(90)90593-O
H. S. Tzou and C. I. Tseng. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach. Journal of Sound and Vibration, 138, (1990), pp. 17–34.
DOI: https://doi.org/10.1016/0022-460X(90)90701-Z
C. N. Thai, T. T. Ich, and T. L. Xuan. Static and Dynamic Analysis of Piezoelectric Laminated Composite Beams and Plates. In Perovskite and Piezoelectric Materials. IntechOpen, (2021).
C. Q. Thang. Finite element method. Science and Technics Publishing House, Vietnam, (1997).
CALFEM. A finite element toolbox to MATLAB Version 3.3. Structural Mechanics, LTH, Sweden. Printed by JABE Offset, Lund, Sweden.
D. Y. Zheng and N. J. Kessissoglou. Free vibration analysis of a cracked beam by finite element method. Journal of Sound and Vibration, 273, (2004), pp. 457–475.
DOI: https://doi.org/10.1016/S0022-460X(03)00504-2
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
