Technical Papers
Apr 23, 2018

Metamaterial I-Girder for Vibration Absorption of Composite Cable-Stayed Bridge

Publication: Journal of Engineering Mechanics
Volume 144, Issue 7

Abstract

This paper explores the basic mechanism of a metamaterial I-girder. The metamaterial I-girder is designed by integrating a mass-spring-damper subsystem with an I-girder to act as a multifrequency vibration absorber. The local vibration absorber creates shear force to absorb the vibration energy under the resonant excited state. The efficiency of the metamaterial I-girder is verified via numerical testing on a steel beam and a cable-stayed bridge. The results show that the resonance of the vibration absorber creates stopbands of frequencies that are influenced by the absorber’s mass ratio. Each stopband’s width can be increased by increasing the absorbers’ damping. Moreover, the metamaterial I-girder can be used for the absorption of elastic waves caused by traffic loads and earthquakes on composite cable-stayed bridges.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (51178101 and 51378112) and the Excellent Doctoral Dissertation Foundation of Southeast University (3205005726).

References

Attary, N., M. Symans, and S. Nagarajaiah. 2017. “Development of a rotation-based negative stiffness device for seismic protection of structures.” J. Vibr. Contr. 23 (5): 853–867.
Attary, N., M. Symans, S. Nagarajaiah, A. M. Reinhorn, M. C. Constantinou, A. A. Sarlis, and D. Taylor. 2015a. “Numerical simulations of a highway bridge structure employing passive negative stiffness device for seismic protection.” Earthquake Eng. Struct. Dyn. 44 (6): 973–995.
Attary, N., M. Symans, S. Nagarajaiah, A. M. Reinhorn, M. C. Constantinou, A. A. Sarlis, and D. Taylor. 2015b. “Performance evaluation of negative stiffness devices for seismic response control of bridge structures via experimental shake table tests and associated numerical simulations.” J. Earthquake Eng. 19 (2): 249–276.
Bao, J., Z. Shi, and H. Xiang. 2012. “Dynamic responses of a structure with periodic foundations.” J. Eng. Mech. 138 (7): 761–769.
Brûlé, S., E. H. Javelaud, S. Enoch, and S. Guenneau. 2014. “Experiments on seismic metamaterials: Molding surface waves.” Phys. Rev. Lett. 112 (13): 133901.
Carta, G., G. F. Giaccu, and M. Brun. 2017. “A phononic band gap model for long bridges: The ‘Brabau’ bridge case.” Eng. Struct. 140 (5): 66–76.
Cheng, Z., Z. Shi, Y. L. Mo, and H. Xiang. 2013. “Locally resonant periodic structures with low-frequency band gaps.” J. Appl. Phys. 114 (3): 033532.
Dertimanis, V. K., I. A. Antoniadis, and E. N. Chatzi. 2016. “Feasibility analysis on the attenuation of strong ground motions using finite periodic lattices of mass-in-mass barriers.” J. Eng. Mech. 142 (5): 04016060.
Giouvanidis, A. I., and E. G. Dimitrakopoulos. 2017. “Seismic performance of rocking frames with flag-shaped hysteretic behavior.” J. Eng. Mech. 143 (5): 04017008.
Huang, J., Z. Shi, W. Huang, X. Chen, and Z. Zhang. 2017. “Seismic isolation foundations with effective attenuation zones.” Smart Mater. Struct. 26 (3): 035061.
Kim, S. H., and M. P. Das. 2012. “Seismic waveguide of metamaterials.” Mod. Phys. Lett. B 26 (17): 1250105.
Krödel, S., N. Thomé, and C. Daraio. 2015. “Wide band-gap seismic metastructures.” Extreme Mech. Lett. 4: 111–117.
Li, H., C. Qu, L. Huo, and S. Nagarajaiah. 2016a. “Equivalent bilinear elastic single degree of freedom system of multi-degree of freedom structure with negative stiffness.” J. Sound Vibr. 365 (5): 1–14.
Li, X., Z. Zhang, and X. Zhang. 2016b. “Using elastic bridge bearings to reduce train-induced ground vibrations: An experimental and numerical study.” Soil Dyn. Earthquake Eng. 85: 78–90.
Liu, X., Z. Shi, Y. L. Mo, and Z. Cheng. 2016. “Effect of initial stress on attenuation zones of layered periodic foundations.” Eng. Struct. 121: 75–84.
Liu, Z., X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chen, and P. Sheng. 2000. “Locally resonant sonic materials.” Science 289 (5485): 1734–1736.
Mitchell, S. J., A. Pandolfi, and M. Ortiz. 2014. “Metaconcrete: Designed aggregates to enhance dynamic performance.” J. Mech. Phys. Solids 65: 69–81.
Mitchell, S. J., A. Pandolfi, and M. Ortiz. 2016. “Effect of brittle fracture in a metaconcrete slab under shock loading.” J. Eng. Mech. 142 (4): 04016010.
Nagarajaiah, S., A. M. Reinhorn, M. C. Constantinou, D. Taylor, D. T. R. Pasala, and A. A. Sarlis. 2010. “True adaptive negative stiffness: A new structural modification approach for seismic protection.” In Proc., 5th World Conf. on Structural Control and Monitoring, IASCM. Los Angeles: Univ. of Southern California.
Pai, P. F. 2007. Highly flexible structures: Modeling, computation and experimentation. Reston, VA: American Institute of Aeronautics and Astronautics.
Pai, P. F. 2010. “Metamaterial-based broadband elastic wave absorber.” J. Intell. Mater. Syst. Struct. 21 (5): 517–528.
Pai, P. F., and G. L. Huang. 2016. Theory and design of acoustic metamaterials. Bellingham, WA: SPIE.
Pasala, D. T. R., A. A. Sarlis, S. Nagarajaiah, A. M. Reinhorn, M. C. Constantinou, and D. Taylor. 2013. “Adaptive negative stiffness: A new structural modification approach for seismic protection.” J. Struct. Eng. 139 (7): 1112–1123.
Pasala, D. T. R., A. A. Sarlis, A. M. Reinhorn, S. Nagarajaiah, M. C. Constantinou, and D. Taylor. 2015. “Apparent-weakening in SDOF yielding structure using negative stiffness device: Experimental and analytical study.” J. Struct. Eng. 141 (4): 04014130.
Peng, H., and P. F. Pai. 2014. “Acoustic metamaterial plates for elastic wave absorption and structural vibration suppression.” Int. J. Mech. Sci. 89: 350–361.
Peng, H., P. F. Pai, and H. G. Deng. 2015. “Acoustic multi-stopband metamaterial plates design for broadband elastic wave absorption and vibration suppression.” Int. J. Mech. Sci. 103: 104–114.
Sarlis, A. A., D. T. R. Pasala, M. C. Constantinou, A. M. Reinhorn, S. Nagarajaiah, and D. Taylor. 2013. “Negative stiffness device for seismic protection of structures.” J. Struct. Eng. 139 (7): 1124–1133.
Sarlis, A. A., D. T. R. Pasala, M. C. Constantinou, A. M. Reinhorn, S. Nagarajaiah, and D. Taylor. 2016. “Negative stiffness device for seismic protection of structures: Shake table testing of a seismically isolated structure.” J. Struct. Eng. 142 (5): 04016005.
Shelby, R. A., D. R. Smith, and S. Schultz. 2001. “Experimental verification of a negative index of refraction.” Science 292 (5514): 77–79.
Shi, Z., Z. Cheng, and H. Xiang. 2014. “Seismic isolation foundations with effective attenuation zones.” Soil Dyn. Earthquake Eng. 57: 143–151.
Shu, Z., J. Zhang, and S. Nagarajaiah. 2017. “Dimensional analysis of inelastic structures with negative stiffness and supplemental damping devices.” J. Eng. Mech. 143 (3): 04016184.
Smith, D. R., J. B. Pendry, and M. C. K. Wiltshire. 2004. “Metamaterials and negative refractive index.” Science 305 (5685): 788–792.
Vassiliou, M. F., and N. Makris 2015. “Dynamics of the vertically restrained rocking column.” J. Eng. Mech. 141 (12): 04015049.
Zhong, R. M., Z. H. Zong, Q. Q. Liu, and H. F. Zhou. 2015. “A multiscale finite element model validation method of composite cable-stayed bridge based on structural health monitoring system.” Shock Vibr. 2015: 1670–1682.
Zhong, R. M., Z. H. Zong, J. Niu, Q. Q. Liu, and P. J. Zheng. 2016. “A multiscale finite element model validation method of composite cable-stayed bridge based on probability box theory.” J. Sound Vibr. 370 (26): 111–131.
Zhong, R. M., Z. H. Zong, P. F. Pai, X. W. Ruan, and H. G. Deng. 2018. “Online tracking of instantaneous frequency of composite cable-stayed bridge.” Mech. Syst. Signal Process. 100: 43–56.
Zhu, R., X. N. Liu, G. K. Hu, C. T. Sun, and G. L. Huang. 2014. “Negative refraction of elastic waves at the deep-subwavelength scale in a single-phase metamaterial.” Nat. Commun. 5: 5510.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 144Issue 7July 2018

History

Received: Jun 11, 2016
Accepted: Dec 19, 2017
Published online: Apr 23, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 23, 2018

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Authors

Affiliations

Rumian Zhong [email protected]
Ph.D. Candidate, School of Civil Engineering, Southeast Univ., No. 2, Sipailou Rd., Nanjing 210096, P.R. China. Email: [email protected]
P. Frank Pai [email protected]
Professor, Dept. of Mechanical and Aerospace Engineering, Univ. of Missouri, Columbia, MO 65211. Email: [email protected]
Zhouhong Zong [email protected]
Professor, School of Civil Engineering, Southeast Univ., No. 2, Sipailou Rd., Nanjing 210096, P.R. China (corresponding author). Email: [email protected]
Haoguang Deng [email protected]
Ph.D. Candidate, Dept. of Mechanical and Aerospace Engineering, Univ. of Missouri, Columbia, MO 65211. Email: [email protected]
Xuewei Ruan [email protected]
Ph.D. Candidate, Dept. of Mechanical and Aerospace Engineering, Univ. of Missouri, Columbia, MO 65211. Email: [email protected]

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