Free Vibration of a Single-Edge Cracked RC Beam Strengthened with FRP
Publication: Journal of Engineering Mechanics
Volume 140, Issue 6
Abstract
The equations of motion and corresponding boundary conditions for the vibration of a single-edge cracked RC beam strengthened with fiber-reinforced polymer (FRP) have been developed by applying the Hamilton principle, where the stress concentration near the crack is taken into account by introducing a crack disturbance function into the beam’s compatibility relations. The solution employs the Galerkin method. A parametric study is carried out to investigate the influence of the crack geometry parameter, in which the steel bar’s restraints, as well as FRP reinforcement on the dynamic behavior of the RC beam, are considered. It is shown that calculating the dynamic characteristics of a single-edge cracked RC beam strengthened with FRP must take into account the effect of the steel bar’s restraints and FRP reinforcement, simultaneously, whereas the crack geometry parameter has very little influence on the dynamic characteristics of the cracked beam. The crack position has little effect on the frequency of the RC beam and concrete beam.
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Acknowledgments
This work was supported financially by the Hunan Province University Key Laboratory of Bridge Engineering (Changsha University of Science & Technology) (13KC02).
References
Chen, D., Wang, W., and Liu, F. (2011). “Free vibrations for cracked concrete beams considering the effect of reinforced constraints.” J. Changsha Univ. Sci. Tech, 2, 35–39 (in Chinese).
Chondros, T. G., Dimarogonas, A. D., and Yao, J. (1998). “A continuous cracked beam vibration theory.” J. Sound Vib., 215(1), 17–34.
Christides, S., and Barr, A. D. S. (1984). “One-dimensional theory of cracked Bernoulli-Euler beams.” Int. J. Mech. Sci., 26(11–12), 639–648.
Fernández-Sáez, J., Rubio, L., and Navarro, C. (1999). “Approximate calculation of the fundamental frequency for bending vibrations of cracked beams.” J. Sound Vib., 225(2), 345–352.
Hamed, E., and Rabinovitch, O. (2005). “Dynamic behavior of reinforced concrete beams strengthened with composite materials.” J. Compos. Constr., 429–440.
Khiem, N. T., and Lien, T. V. (2001). “A simplified method for natural frequency analysis of a multiple cracked beam.” J. Sound Vib., 245(4), 737–751.
Lou, M., and Xin, Y. (2002). “Effect of reinforcement on the dynamic characteristics of reinforced concrete beam.” J. Vib. Eng, 2, 220–223.
Monti, G., and Spacone, E. (2000). “Reinforced concrete fiber beam element with bond-slip.” J. Struct. Eng., 654–661.
Shen, M. H. H., and Chu, Y. C. (1992). “Vibration of beams with a fatigue crack.” Comp. Struct., 45(1), 79–93.
Shen, M. H. H., and Pierre, C. (1990). “Natural modes of Bernoulli-Euler beams with a single-edge crack.” Am. Inst. Aeronaut. Astronaut., 2079–2093.
Shen, M. H. H., and Pierre, C. (1994). “Free vibrations of beams with a single-edge crack.” J. Sound Vib., 170(2), 237–259.
Van Den Einde, L., Zhao, L., and Seible, F. (2003). “Use of FRP composites in civil structural applications.” Construct. Build. Mater., 17(6–7), 389–403.
Wang, D., and Zhu, H. (2006). “Dynamic characteristics of concrete beams with a crack based on a bending spring model.” World Earthquake Eng., 22(1), 45–48 (in Chinese).
Williams, G., and Higgins, C. (2008). “Fatigue of diagonally cracked RC girders repaired with CFRP.” J. Bridge Eng., 24–33.
Wu, Z. S., and Niu, H. D. (2000). “Study on debonding failure load of RC beams strengthened with FRP sheets.” JSCE J. Struct. Eng., 46A, 1431–1441.
Zheng, D. Y., and Fan, S. C. (2001). “Natural frequencies of a non-uniform beam with multiple cracks via modified Fourier series.” J. Sound Vib., 242(4), 701–717.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 6 • June 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 9, 2013
Accepted: Nov 21, 2013
Published ahead of production: Nov 23, 2013
Published online: Jan 30, 2014
Published in print: Jun 1, 2014
Discussion open until: Jun 30, 2014
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