A New Approach for Evaluating Modal Correlation Coefficient in Response Spectrum Analysis

References

• ASCE (American Society of Civil Engineers). 2022. “Minimum Design Loads and Associated Criteria for Buildings and Other Structures.” ASCE/SEI 7.
   Google Scholar
• Clough, R. W., and J. Penzien. 1995. Dynamics of Structures. 3rd ed. University Ave. Berkeley, CA 94704 USA: Computers & Structures, Inc.
   Google Scholar
• Gupta, A. K. 1990. Response Spectrum Method in Seismic Analysis and Design of Structures. Cambridge, Mass: Black well Scientific Publications.
   Google Scholar
• Igusa, T., A. D. Kiureghian, and J. L. Sackman. 1984. “Modal Decomposition Method for Stationary Response of Non-Classically Damped Systems.” Earthquake Engineering & Structural Dynamics 12 (1): 121–136. https://doi.org/10.1002/eqe.4290120109.
   Web of Science ®Google Scholar
• Maldonado, G. O., and M. P. Singh. 1991. “An Improved Response Spectrum Method for Calculating Seismic Design Response. Part 2: Non-Classically Damped Structures.” Earthquake Engineering & Structural Dynamics 20 (7): 637–649. https://doi.org/10.1002/eqe.4290200704.
   Web of Science ®Google Scholar
• Nakamura, Y. 2017. “Application of CQC Method to Seismic Response Control with Viscoelastic Dampers.” Risk and Reliability Analysis: Theory and Applications 229–254. https://doi.org/10.1007/978-3-319-52425-2_10.
   Google Scholar
• Nievas, C. I., and T. J. Sullivan 2020. “Modal Combination in Response Spectrum Analysis: Exploring the Variation of Ground Motions in Time.” 17th World Conference on Earthquake Engineering, 17WCEE Sendai, Japan - September 13th to 18th 2020 Paper N° C000801 Registration Code: S-A01233 Sendai, Japan.
   Google Scholar
• Nuclear Regulatory Commission. 2006. “Combining Modal Responses and Spatial Components in Seismic Response Analysis.” NRC, Regulatory Guide 1.92, Revision 2, U.S.
   Google Scholar
• PEER. 2023. “Pacific Earthquake Engineering Research Center Database.” The PEER Ground Motion Database. University of California: Berkeley. www.peer.berkeley.edu
   Google Scholar
• Rosenblueth, E. 1951. “A Basis for Aseismic Design.” PhD thesis, University of Illinois
   Google Scholar
• Rosenblueth, E., and J. Elorduy 1969. “Responses of Linear Systems to Certain Transient Disturbances.” Proceedings of the 4th World Conference on Earthquake Engineering, Santiago, ( A-1):185–196.
   Google Scholar
• Ruifang, Y., and Z. Xiyuan. 2007. “Simplifications of CQC Method and CCQC Method.” Earthquake Engineering and Engineering Vibration 6 (1): 65–76. https://doi.org/10.1007/s11803-007-0640-7.
   Web of Science ®Google Scholar
• Singh, M. P., and M. Ghafory-Ashtiany. 1986. “Modal Time-History Analysis of Nonclassically dampedStructures for Seismic Motions.” Earthquake Engineering & Structural Dynamics 14 (1): 133–146. https://doi.org/10.1002/eqe.4290140110.
   Web of Science ®Google Scholar
• Sinha, R., and T. Igusa. 1995. “CQC and SRSS Methods for Non-Classically Damped Structures.” Earthquake Engineering & Structural Dynamics 24 (4): 615–619. https://doi.org/10.1002/eqe.4290240410.
   Web of Science ®Google Scholar
• Villaverde, R. 1988. “Rosenblueth’s Modal Combination Rule for Systems with Nonclassical Damping.” Earthquake Engineering & Structural Dynamics 16 (3): 315–328. https://doi.org/10.1002/eqe.4290160303.
   Web of Science ®Google Scholar
• Walpole, R. E., R. H. Myers, S. L. Myers, and K. E. Ye. 2016. Probability and Statistics for Engineers and Scientists. 9th ed. New Delhi: Pearson Education.
   Google Scholar
• Wang, J. J. 1994. “Stochastic Response Analysis of Nonproportionally Damped Linear System for Earthquake Excitation.” Engineering Mechanics 11:109–114.
   Google Scholar
• Wilson, E. L., A. Der Kiureghian, and E. P. Bayo. 1981. “A Replacement for the SRSS Method in Seismic Analysis.” Earthquake Engineering & Structural Dynamics 9 (2): 187–194. https://doi.org/10.1002/eqe.4290090207.
   Web of Science ®Google Scholar
• Yu, R. F., and X. Y. Zhou. 2006. “Complex Mode Superposition Method for Non-Classically Damped System with Over-Critical Damping Peculiarity.” Journal of Building Structures 27:50–59.
   Google Scholar
• Zhou, X. Y., D. H. Ma, and R. F. Yu. 2005. “Damping in Structures and Complex Complete Quadratic Combination (CCQC) of Complex Mode Seismic Responses.” Journal of Civil Engineering 38:31–39.
   Google Scholar
• Zhou, X. Y., R. F. Yu, and D. Dong. 2004. “Complex Mode Superposition Algorithm for Seismic Responses of Non- Classically Damped Linear MDOF System.” Journal of Earthquake Engineering 8 (4): 597–641. https://doi.org/10.1080/13632460409350503.
   Web of Science ®Google Scholar