Material Damping of Concrete under Cyclic Axial Compression
Publication: Journal of Materials in Civil Engineering
Volume 30, Issue 3
Abstract
Damping properties have important effects on the dynamic behavior of civil engineering structures. However, the influence of load on the material damping of concrete has not been studied systematically. This paper used an experimental strategy to investigate the effects of stress amplitude, loading frequency, and stress level on the material damping of concrete. The experimental results showed that equivalent damping increased with the increase of stress amplitude and was slightly influenced by the loading frequency and stress level. Subsequently, the classical Kelvin model was used to simulate the energy dissipation property of concrete under cyclic axial compression. The viscous coefficient of the Kelvin model was identified based on the experimental data, and a correction was conducted to describe the frequency-independent energy dissipation property of concrete. Comparison with experimental results shows that the modified model produces a high-accuracy solution for use in predicting the energy dissipation behavior of concrete material.
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Acknowledgments
The authors acknowledge the support of the National Natural Science Foundation of China (51661145023) and the Doctorial Innovation Fund of Beijing Jiaotong University (C13JB00180).
References
Bert, C. W. (1973). “Material damping: An introductory review of mathematic measures and experimental technique.” J. Sound. Vib., 29(2), 129–153.
Biot, M. A. (1955). “Variational principles in irreversible thermodynamics with application to viscoelasticity.” Phys. Rev., 97(6), 1463–1469.
Bishop, R. E. D. (1956). “The general theory of ‘Hysteretic Damping’.” Aeronau. Quart., 7(1), 60–70.
Crambuer, R., Richard, B., Ile, N., and Ragueneau, F. (2013). “Experimental characterization and modeling of energy dissipation in reinforced concrete beams subjected to cyclic loading.” Eng. Struct., 56, 919–934.
Crandall, S. H. (1970). “The role of damping in vibration theory.” J. Sound. Vib., 11(1), 3–IN1.
Elices, M., Guinea, G. V., and Planas, J. (1997). “On the measurement of concrete fracture energy using three-point bend tests.” Mater. Struct., 30(6), 375–376.
Elwood, K., and Moehle, J. P. (2003). “Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames.” Ph.D. dissertation, Univ. of California, Oakland, CA.
Gounaris, G. D., and Anifantis, N. K. (1999). “Structural damping determination by finite element approach.” Comput. Struct., 73(1), 445–452.
Harsh, S., Shen, Z., and Darwin, D. (1990). “Strain-rate sensitive behavior of cement paste and mortar in compression.” ACI Mater. J., 87(5), 508–516.
Kimball, A. L., and Lovell, D. E. (1927). “Internal friction in solids.” Phys. Rev., 30(6), 948–959.
Lazan, B. J. (1968). Damping of materials and members in structural mechanics, Pergamon Press, London.
Lin, Y. Y., and Chang, K. C. (2003). “Study on damping reduction factor for buildings under earthquake ground motions.” J. Struct. Eng., 206–214.
Lv, P. Y., Song, Y. P., and Wu, Z. M. (2001). “Strength and deformation characteristics of concrete subjected to different loading rates combined with confined stress.” J. Dalian Univ. Technol., 41(6), 716–720.
Makris, N., and Zhang, J. (2000). “Time domain viscoelastic analysis of earth structures.” Earthquake Eng. Struct. Dyn., 29(6), 745–768.
MOC (Ministry of Construction of China). (2002). “The standard for test method of mechanical properties on ordinary concrete.” GB/T 50081, Beijing, China.
Muguruma, H., Watanabe, F., Iwashimizu, T., and Mitsueda, R. (1983). “Ductility improvement of high-strength concrete by lateral confinement.” Trans. Japan Concr. Inst., 5, 403–410.
Muravskii, G. B. (2004). “On frequency independent damping.” J. Sound Vib., 274(3), 653–668.
Myklestad, N. O. (1952). “The concept of complex damping.” J. Appl. Mech.-Trans. ASME, 19(3), 284–286.
Nashif, A. D., Jones, D. I., and Henderson, J. P. (1985). Vibration damping, Wiley, New York.
Osinski, Z., ed. (1998). Damping of vibrations, CRC Press, Boca Raton, FL.
Rainieri, C., Fabbrocino, G., and Cosenza, E. (2010). “Some remarks on experimental estimation of damping for seismic design of civil constructions.” Shock Vib., 17(4–5), 383–395.
Rayleigh, L. (1877). The theory of sound, Dover Publications, New York.
Richard, B., Ragueneau, F., Cremona, C., and Adelaide, L. (2010). “Isotropic continuum damage mechanics for concrete under cyclic loading: Stiffness recovery, inelastic strains and frictional sliding.” Eng. Fract. Mech., 77(8), 1203–1223.
Shen, D. J., and Lu, X. L. (2008). “Experimental study on dynamic compressive properties of microconcrete under different strain rate.” 14th World Conf. on Earthquake Engineering, Beijing, 12–17.
Tsavachidis, S. (2001). “Deterministic and stochastic analysis of nonlinear systems with Biot hysteretic damping.” Ph.D. dissertation, Rice Univ., Houston.
Vegt, I., Breugel, V. K., and Weerheijm, J. (2007). “Failure mechanisms of concrete under impact loading.” Fracture mechanics of concrete and concrete structures, Taylor & Francis Group, Catania, Italy, 579–587.
Wang, Y. F., Pan, Y. H., Wen, J., Su, L., and Mei, S. Q. (2014). “Influence of some key factors on material damping of steel beams.” Struct. Eng. Mech., 49(3), 285–296.
Wen, J., and Wang, Y. F. (2007). “Computation and formula for material damping of concrete components under axial cycle load.” J. Shock Vib., 29(4), 12–16 (in Chinese).
Wen, J., and Wang, Y. F. (2008). “Calculation of material damping of reinforced concrete cantilever beams.” China Civ. Eng. J., 41(2), 77–80 (in Chinese).
Xiao, S. Y., Lin, G., Lu, J. Z., and Wang, Z. (2002). “Effect of strain rate on dynamic behavior of concrete in compression.” J. Harbin Univ. Civ. Eng. Architect., 35(5), 35–39.
Xiao, S. Y., and Zhang, J. (2010). “Compressive damage experiment of concrete at different strain rates.” China Civ. Eng. J., 43(3), 40–45.
Yan, D. M. (2006). “Experimental and theoretical study on the dynamic properties of concrete.” Ph.D. dissertation, Dalian Univ. of Technology, Dalian, China.
Zhang, X., Ruiz, G., Rena, C. Y., Poveda, E., and Porras, R. (2012). “Rate effect on the mechanical properties of eight types of high-strength concrete and comparison with FIB MC2010.” Constr. Build. Mater., 30, 301–308.
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Published In
Journal of Materials in Civil Engineering
Volume 30 • Issue 3 • March 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Feb 16, 2017
Accepted: Jul 31, 2017
Published online: Dec 20, 2017
Published in print: Mar 1, 2018
Discussion open until: May 20, 2018
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