Engineering Geology

Engineering Geology

Correlations between Spectral Parameters of Earthquakes and Damage Intensity in Different RC Frames

Authors
Ali Massumi
Maryam Rahmati Selkisari
10.18869/acadpub.jeg.11.3.135
Abstract
In recent decades many researchers have studied on the damage assessment of structures after a seismic event. To assess the damage of structures under an earthquake, it is so important to study the correlations between earthquake parameters and damages of the structures. A lot of seismic parameters have been defined by researchers to characterize an earthquake. Spectral parameters of an earthquake convey a variety of information about ground motion, so they can properly characterize an earthquake. Also a lot of damage indices were proposed by researchers to quantify the damage of the structures or to rank their vulnerability relative to each other. Park-Ang index is one of the best indices to describe the damage of a structure. In this paper, the correlations between spectral parameters of earthquakes and Park-Ang indices are studied. Three RC frames with different height are analyzed under far-fault earthquake records by nonlinear dynamic analyses. The correlations between spectral parameters and Park-Ang indices of the frames are calculated. The results show that in all the frames most of spectral parameters have strong correlations with damage intensity. In order to estimate the damage potential of an earthquake, some spectral parameters which have high correlations with damage intensity can be proper indices. Housner intensity, acceleration spectrum intensity and velocity spectrum intensity are shown to have strong correlations with damage intensity. In this paper, a new spectral parameter which has high correlation with damage intensity is achieved.
Keywords
Spectral parameters
Damage intensity
Park-Ang index
Correlation coefficient
1. Musson R. M. W., "Intensity-Based Seismic Risk Assessment", Soil Dynamics and Earthquake Engineering, Vol. 20 (2000) 353-360. 2. Massumi A., Gholami F., "The influence of seismic intensity parameters on structural damage of RC buildings using principal components analysis", Applied Mathematical Modelling, Vol. 40, No. 3 (2016) 2161-2176,. 3. Elenas A., "Interdependency between Seismic Acceleration Parameters and the Behaviour of Structures", Soil Dynamics and Earthquake Engineering, Vol. 16 (1997) 317-322. 4. Elenas A., "Correlation between Seismic Acceleration Parameters and Overall Structural Damage Indices of Buildings", Soil Dynamics and Earthquake Engineering, Vol. 20 (2000) 93-100. 5. Danciu L, "Development of a System to Assess the Earthquake Damage Potential for Buildings. Ph.D. Thesis", University of Patras (2006). 6. Alvanitopoulos P. F., Andreadis I., Elenas A., "Interdependence between Damage Indices and Ground Motion Parameters based on Hilbert–Huang transform", Measurement Science and Technology, Vol. 21, No. 2 (2010). 7. Nanos N., "A Study on the Importance of Seismic Parameters Selection for the Vulnerability Assessment of Mid-Rise Reinforced Concrete Structures. Ph.D. Thesis", University of Portsmouth (2011). 8. Chen Z., Wei J., "Correlation between Ground Motion Parameters and Lining Damage Indices for Mountain Tunnels", Natural hazards, Vol. 65, (2012) 1683-1702. 9. Housner G. W., "Behavior of Structures During Earthquakes", Journal of Engineering Mechanics Division, Vol. 85, No. EM4 (1959) 109-129. 10. Von Thun J. L., Roehm G., Scott A., Wilson J. A., "Earthquake Ground Motions For Design and Analysis of Dams", in Earthquake Engineering and Soil Dynamics II-Recent Advances in Ground-Motion Evaluation, ASCE (1988) 463-481. 11. Park Y.-J., Ang A. H.-S., "Mechanistic Seismic Damage Model for Reinforced Concrete", Journal of Structural Engineering, Vol. 111, No. ST4 (1985) 722-739. 12. "Iranian code of practice for seismic resistance design of buildings: Standard no.2800, 3rd edition, Building and Housing Research Center" (2005). 13. "Iranian national building codes, Part 9: design and construction of reinforced concrete buildings" (2013). 14. PEER, “PEERGroundMotionDatabase,” [Online]. 15. Spiegel M. R., "Theory and Problems of Statistics", London: McGraw-Hill: Schaum Publishing (1992). 16. Hauke J., Kossowski T., "Comparision of Values of Pearson’s and Spearman’s Correlation Coefficients on the Same Sets of Data", Quaestiones Geographicae, Vol. 30, No. 2 (2011) 87-93. 17. Szmidt E., Kacprzyk J., "The Spearman and Kendall Rank Correlation Coefficients Between Intuitionistic Fuzzy Sets", in EUSFLAT Conf (2011). 18. Kramer S. L., "Geotechnical Earthquake Engineering", University of Washington (1996). 19. Park Y. J., Ang A., Wen Y. K, "Seismic Damage Analysis and Damage-Limiting Design of R/C Structures", Structural Research Studies, Report No. 516 (1984). 20. Nanos N., Elenas A., Ponterosso P., "Correlation of Different Strong Motion Duration Parameters and Damage Indicators of Reinforced Concrete Structures", in The 14th World Conference on Earthquake Engineering, China Earthquake Press, Beijing (2008). 21. Arias A., "A Measure of Earthquake Intensity", in Seismic Design for Nuclear Power Plants, (ed. R. Hansen), MIT Press, Cambridge Massachusetts (1970) 438-483. 22. Sarma S. K., Yang K. S., "An Evaluation of Strong Motion Records and a New Parameter A95", Earthquake Engineering & Structural Dynamics, Vol. 15 (1987) 119-132. 23. Kendall M. G., "Rank Correlation Methods", NewYork: Hafner Publishing Co (1955). 24. Abdi H., "The Kendall Rank Correlation Coefficient", Encyclopedia of Measurement and Statistics. Sage, Thousand Oaks (CA) (2007) 508-510.