Global Structural Stiffness and Random Vibration Response of One-Story Frame and Its Damage Effect
Publication: Journal of Aerospace Engineering
Volume 28, Issue 1
Abstract
Structural stiffness has been increasingly considered as a performance index or parameter indicating condition of structures in the fields of aerospace, civil, and mechanical engineering. In this paper, theoretical and experimental structural stiffness models are proposed, and random vibration responses of the structure are evaluated. As a demonstration, the proposed method is applied to a one-story frame structure generally used in many engineering applications, and the experimental results show that the structural stiffness increases as the thickness of girder augments. Due to the idealization and perfect column-girder joint conditions, the theoretically predicted structural stiffness value is always larger than that measured from the experiment. Since the experimental method includes all practical factors, the experimental values of structural stiffness represent real global stiffness of the structure. An empirical equation of structural stiffness for the one-story frame structure is thus obtained by fitting the experimental data. The experimental random vibration experiment is conducted and it demonstrates that the random vibration responses under the same excitation all decrease when the girder becomes thicker. The influence of crack damage in columns of the one-story frame on structural global stiffness and random vibration response is also experimentally investigated, and it shows that the structural stiffness reduces slightly when damage is present. For the example given where the damage locates at the midheight of columns and coincides with location of the inflection point, the local damage in the structure only imparts a little change on the structural global stiffness, and the random vibration responses of the intact and damage structures also exhibit little difference. The experimental structural stiffness model presented can be used to data-reduce the global structural stiffness from the random vibration experiment, and it can be in turn considered as a performance index to assess condition of or detect damage in the structures.
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Acknowledgments
The financial support from the National Natural Science Foundation of China (Grant No. 11132003, 51079045, and 51179064) is acknowledged.
References
Abdalla, M. M., Setoodeh, S., and Gurdal, Z. (2007). “Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters.” Compos. Struct., 81(2), 283–291.
Carden, E. P., and Fanning, P. (2004). “Vibration based condition monitoring: A review.” Struct. Health Monit., 3(4), 355–377.
Cimellaro, G. P. (2007). “Simultaneous stiffness-damping optimization of structures with respect to acceleration, displacement and base shear.” Eng. Struct., 29(11), 2853–2870.
Clough, R. W., and Penzien, J. (1991). Dynamics of structures, McGraw-Hill, New York.
Ge, M., and Lui, E. M. (2005). “Structural damage identification using system dynamic properties.” Comput. Struct., 83(27), 2185–2196.
Hwang, H. Y., and Kim, C. (2004). “Damage detection in structures using a few frequency response measurements.” J. Sound Vibr., 270, 1–14.
Lim, J. B. P., and Nethercot, D. A. (2004). “Stiffness prediction for bolted moment-connections between cold-formed steel members.” J. Constr. Steel Res., 60(1), 85–107.
Liu, J., and Du, X. (2005). Dynamics of structures, Mechanical Industry Press, Beijing (in Chinese).
Maeck, J., Wahab, A., Peeters, B., and De Roeck, G. (2000). “Damage identification in reinforced concrete structures by dynamic stiffness determination.” Eng. Struct., 22(10), 1339–1349.
Perera, R., and Huerta, C. (2008). “Identification of damage in RC beams using indexes based on local modal stiffness.” Constr. Build. Mater., 22(8), 1656–1667.
Ramaratnam, A., and Jalili, N. (2006). “A switched stiffness approach for structural vibration control: Theory and real-time implementation.” J. Sound Vibr., 291(1), 258–274.
Wald, F., Sokol, Z., and Moal, M. (2004). “Stiffness of cover plate connections with slotted holes.” J. Constr. Steel Res., 60(3), 621–634.
Waters, T. P., Brennan, M. J., and Sasananan, S. (2004). “Identifying the foundation stiffness of a partially embedded post from vibration measurements.” J. Sound Vibr., 274(1), 137–161.
Yoon, M. K., Heider, D., Gillespie, J. W., Jr., Patcliffe, C. P., and Crane, R. M. (2005). “Local damage detection using the two-dimensional gapped smoothing method.” J. Sound Vibr., 279(1), 119–139.
Zaharia, R., and Dubina, D. (2006). “Stiffness of joints in bolted connected cold-formed steel trusses.” J. Constr. Steel Res., 62(3), 240–249.
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Information
Published In
Journal of Aerospace Engineering
Volume 28 • Issue 1 • January 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 19, 2012
Accepted: May 28, 2013
Published online: May 30, 2013
Discussion open until: Nov 2, 2014
Published in print: Jan 1, 2015
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