Development of a Macroscopic Global Seismic Damage Model for Lattice Shell Structures
Publication: Journal of Structural Engineering
Volume 143, Issue 2
Abstract
A physics-based macroscopic global seismic damage model is developed for lattice shell structures excited by strong earthquakes. Global seismic damage is generated from so-called modal damage that is defined as the loss ratio of potential energy stored in structures before and after earthquakes, with the combination rule based on the assumption of in-series independencies among modal damages involved. The minimum number of lower modes required in the combination is determined by the suggested procedures using the maximum nodal displacement as a key response quantity. The issue of modal match arises from the modal shift phenomenon that commonly exists in aseismic lattice shells is solved by the linear modal assurance criteria (LMAC) approach. The case study indicates that the predictions result from the model exhibit a desirable correlation with the maximum nodal displacement time history response and a good tendency in damage evolution as more modes are involved. The global damage curves can comply with a typical six-segment positive S-type damage evolution curve. The model can be regarded as an extension to the final softening model proposed by DiPasquale and Cakmak.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was financially supported by the National Natural Science Foundation of China (Grant No. 91315301 and 51261120376).
References
Chopra, A. K. (1995). Dynamics of structures: Theory and applications to earthquake engineering, 3rd Ed., Prentice Hall, Englewood Cliffs, NJ.
Chopra, A. K., and Goel, R. K. A. (2002). “A modal pushover analysis procedure for estimating seismic demands for buildings.” Earthquake Eng. Struct. Dyn., 31(3), 561–582.
Code of China. (2010). “Code for seismic design of buildings.”, China Architecture & Building Press, Beijing (in Chinese).
Code of China (2010). “Technical specification for space frame structures.”, China Architecture & Building Press, Beijing (in Chinese).
Conte, J. P., Vijalapura, P., and Meghella, M. (2003). “Consistent finite element response sensitivity analysis.” J. Eng. Mech., 1380–1393.
DiPasquale, E., and Cakmak, A. S. (1989). “Relation between local and global damage indices.”, State Univ. of New York, National Center for Earthquake Engineering Research, Buffalo, NY.
Ghobarah, A., Abou-Elfath, H., and Biddah, A. (1999). “Response-based damage assessment of structures.” Earthquake Eng. Struct. Dyn., 28(1), 79–104.
He, Z., Ou, X. Y., and Ou, J. P. (2014). “A macro-level global seismic damage model considering higher modes.” Earthquake. Eng. Vibr., 13(3), 425–436.
Hofmeyer, H., and Courage, J. (2013). “Analytical and finite element modelling of long plate mode jumping behavior.” Thin-Walled Struct., 73, 101–111.
Hu, Y. T. (2014). “Damage evolution of long-span spatial lattice structures under strong earthquakes.” Master thesis, Dalian Univ. of Technology, Dalian, China (in Chinese).
Jiang, Y. B., Feng, J., and Meng, S. P. (2006). “Mode jump research in structure damage.” Eng. Mech., 6(23), 35–40 (in Chinese).
Kato, S., and Nakazawa, S. (2010). “A trial for seismic fragility evaluation of a large lattice dome supported by buckling restrained braces.” Int. J. Space Struct., 25(2), 125–134.
Kourehli, S. S., and Bagheri, A. (2013). “Structural damage detection using incomplete modal data and incomplete static response.” J. Civ. Eng., 17(1), 216–223.
Köylüoglu, H. U., Nielsen, S. R. K., Abbott, J., and Cahmak, A. S. (1998). “Local and modal damage indicators for RC frames subject to earthquakes.” J. Eng. Mech., 1371–1379.
Kunnath, S. K., Reinhorn, A. M., and Abel, J. F. (1991). “A computational tool for seismic performance of reinforced concrete buildings.” Comput. Struct., 41(1), 157–173.
Mazzoni, S., McKenna, F., Scott, M. H., and Fenves, G. L. (2011). “Open system for earthquake engineering simulation (OpenSees) command language manual.” 〈http://OpenSees.berkeley.edu/wiki/index.php/Command_Manual〉 (Oct. 18, 2014).
Morales, C. A. (2005). “Comments on the MAC and the NCO, and a linear modal correlation coefficient.” J. Sound Vibr., 282(1-2), 529–537.
Nie, G. B., Fan, F., and Zhi, X. D. (2012). “A constitutive model of circular steel pipe by spatial hysteretic test”. Adv. Struct. Eng., 15(8), 1279–1290.
PEER Strong Motion Database. (2013). 〈http://peer.berkeley.edu/smcat/〉 (Oct. 10, 2014).
Qi, L., Shao, Y. H., Huang, Z. H., and Huang, X. (2014). “Dynamic damage criterion and damage mode for single layer lattice shell.” J. Constr. Steel Res., 99(8), 102–110.
Ricles, J. M., and Kosmatka, J. B. (1992). “Damage detection in elastic structures using vibratory residual forces and weighted sensitivity.” AIAA J., 30(9), 2310–2316.
Shen, S. Z. (2003). “The dynamic stability problem of reticular shells.” Proc., Asia-Pacific Conf. on Shell and Spatial Structures, International Association for Shell and Spatial Structures, Taipei, China, 44–46.
Shen, Z. Y. (1999). “A cumulative damage model for the analysis of steel frames under seismic actions.” Adv. Steel Struct., 1, 13–24.
Shi, W. X., Wang, Y., and Liu, C. Q. (2007). “Damage analysis of high-rise building under seismic load based on frequency measurement.” J. Southwest Jiaotong Univ., 42(4), 389–394 (in Chinese).
Shi, Y. B. (2007). “Failure mechanism of single layer lattice domes with damage accumulation under earthquakes.” Master thesis, Harbin Institute of Technology, Harbin, China (in Chinese).
Yang, Y., Spencer, B. F., Li, Y. M., and Shen, S. Z. (2011). “Seismic performance of double-layer spherical reticulated shell with replaceable bar-type dampers.” Int. J. Space Struct., 26(1), 31–44.
Zhu, H. W., Wang, K. F., and Tang, S. G. (2004). “Modal damage index and its application in structural damage assessment.” J. Tongji Univ., 32(12), 1589–1592 (in Chinese).
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 143 • Issue 2 • February 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Mar 29, 2015
Accepted: Aug 1, 2016
Published online: Sep 14, 2016
Published in print: Feb 1, 2017
Discussion open until: Feb 14, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.