Comparison between Pushover Analysis Techniques and Validation of the Simplified Modal Pushover Analysis

One of the main drawbacks of the Modal Pushover Analysis (MPA) is the need to perform nonlinear time-history analysis, which complicates the analysis method and time. A simplified version of the MPA has been proposed based on the concept of the inelastic deformation ratio. Furthermore, the effect of the higher modes of vibration is considered by assuming linearly-elastic responses, which enables the use of standard elastic response spectrum analysis. In this thesis, the simplified MPA (SMPA) method is applied to determine the target global drift and the inter-story drifts of steel frame building. The effect of the higher vibration modes is considered within the framework of the SMPA. A comprehensive survey about the inelastic deformation ratio is presented. After that, a suitable expression from literature is selected for the inelastic deformation ratio and then implemented in the SMPA. The estimated seismic demands using the SMPA, such as target drift, base shear, and the inter-story drifts, are compared with the seismic responses determined by applying the standard MPA. The accuracy of the estimated seismic demands is validated by comparing with the results obtained by the nonlinear time-history analysis using real earthquake records.





References:
[1] Mwafy A.M., Elnashai A.S. (2000) “Static Pushover versus Dynamic Collapse Analysis of RC Buildings”, Journal of Engineering Structures, 23, pp. 407-424, 2001.
[2] FEMA-273 (1997), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency, Washington, DC, U.S.A.
[3] ECP 201 (2012), Egyptian Code for Calculating Loads and Forces in Structural Work and Masonry, National Research Center for Housing and Building. Egypt.
[4] Paret T.F., Sasaki K.K., Eilbeck D.H., Freeman S.A. (1996). “Approximate Inelastic Procedures to Identify Failure Mechanisms from Higher Mode Effects”, Proceedings of the 11th World Conference on Earthquake Engineering, No. 966, Acapulco, Mexico.
[5] Chopra A.K. and Goel R.K. (2001). “A modal pushover analysis procedure for estimating seismic demands for buildings: Theory and preliminary evaluation.” PEER Report 2001/2003, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
[6] Chopra A.K., and Goel R.K. (2003) “A Modal Pushover 15 Analysis Procedure to Estimate Seismic Demands for Buildings: Summary and Evaluation.” 5th National Conference on Earthquake Engineering, May, Istanbul, Turkey.
[7] Chopra, A.K., and Goel, R.K., and Chintanapakdee, C. (2004), “Evaluation of a Modified MPA Procedure Assuming Higher Modes as Elastic to Estimate Seismic Demands”, Earthquake Spectra, Vol. 20 (3), pp. 757-778Ali, S. (2013). “Energy based pushover analysis of a building considering the effects of higher modes” (1. Aufl. Ed.). Saarbrücken: LAP LAMBERT Academic Publishing.
[8] Chopra, A.K., and Goel, R.K. (2011), “A Modal Pushover Analysis Procedure to Estimate Seismic Demands for Buildings: Theory and Preliminary Evaluation”, Peer Report 2001/03, Pacific Earthquake Engineering Research Center, University of California, Berkeley, U.S.A.
[9] Abdel-Rahman, A.M. (2010), “Development of Modal Pushover Procedure Based on Response Spectrum for Estimating seismic Demands of RC Building Frames”, M.Sc. Thesis, Structural Engineering Department, Faculty of Engineering, Cairo University, EgyptBaik S.-W., Lee D.-G., Krawinkler H. (1988) “A simplified model for seismic response prediction of steel frame structures”, Proc. 9th world conference earthquake engineering., Tokyo, Kyoto, Vol. 5, , pp. 375-380.
[10] Chintanapakdee, C. (2002). “Evaluation of the Modal Pushover Analysis Procedure using vertically "regular" and irregular Generic Frames”, Berkeley, California, USA.
[11] SAP2000 (2013), Integrated Software for Structural Analysis and Design, Computers and Structures, Inc., Berkeley, CA, U.S.A.
[12] Musa, A.M. (2011), “Comparison between Advanced Multimode Pushover Techniques for Evaluation of Seismic Demands and Performance of Code-Designed Steel Frames”, M.Sc. Thesis, Structural Engineering Department, Faculty of Engineering, Cairo University, Egypt
[13] Chopra, A.K., & Chintanapakdee, C. (2004), “Inelastic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of-Freedom Bilinear Systems”, Journal of Structural Engineering, ASCE, Vol. 130 (9), pp. 1309-1319.
[14] El-Esnawy, N.A. (2007), “Evaluation of Seismic Demands for RC Building Frames Using Modal Pushover Analysis Method”, Journal of Engineering and Applied Science, Faculty of Engineering, Cairo University, Vol. 54 (3), pp. 339-358.
[15] Jingjiang S., Ono T., Yangang Z., Wei W., (2003), “Lateral load pattern in pushover analysis.” Earthquake Engineering and Engineering Vibration, Vol. 2(1), 99-107.