Review of Assumptions in Simplified Multi-Component and Codified Seismic Response Evaluation Procedures

다국어 초록 (Multilingual Abstract)

Representation of an earthquake by orthogonal normal and principal components, accuracies of several rules to combine collinear and non-collinear responses of MDOF structures, and estimation of the relative importance of the effects of individual orthogonal components are addressed in this paper. Statistically there are no differences between normal and principal components in estimating axial load for the elastic case; the principal components, however, may produce about 11% larger axial load for the inelastic case.
There are no major differences in estimating base shear in all cases. To combine the two horizontal components, the 30% and SRSS combination rules underestimate the collinear axial load by about 10%. For the case of three components, the underestimation by the 30% and SRSS rules are about 5% and 10%, respectively. When responses due to axial loads and bending moments are combined, the underestimation could be between 10 and 15% for both combination rules. The assumption that the vertical response is 2/3 of that of the horizontal component appears not to be very conservative. The assumption that the response produced by the minor horizontal component is 85% of that of the major horizontal component appears to be very conservative.

참고문헌 (Reference)

1 Uniform Building Code, "Structural engineering design provisions, Vol. 2" 1994

2 Salmon, C. G., "Steel structures design and behavior" Prentice Hall 2009

3 Federal Emergency Management Agency, "State of the art report on systems performance of steel moment frames subjected to earthquake ground shaking" SAC Steel Project 2000

4 Alfredo Reyes-Salazar, "Seismic response and energy dissipation in partially restrained and fully restrained steel frames: An analytical study" 국제구조공학회 1 (1): 459-480, 2001

5 Newmark, N. M., "Seismic design criteria for structures and facilities, Trans-Alaska pipeline system" 94-103, 1975

6 Reyes-Salazar, A., "Nonlinear seismic response of steel structures with semi-rigid and composite connections" 51 : 37-59, 1999

7 Gao, L., "Nonlinear seismic response of space structures with PR connections" 10 : 27-37, 1995

8 Building Officials & Code Administration International, "National building code"

9 Reyes-Salazar, A., "Multiple-component seismic response análisis-a critical review" 12 (12): 779-799, 2008

10 Smeby, W, "Modal combination rules for multi-component earthquake excitation" 13 (13): 1-12, 1985

11 Kondo, K., "Large deformation elasto-plastic analysis of frames under non-conservative loading using explicitly derived tangent stiffness based on assumed stress" 2 (2): 1-25, 1987

12 Reyes-Salazar, A., "Inelastic seismic response and ductility evaluation of steel frames with fully, partially restrained and composite connections" University of Arizona 1997

13 Reyes-Salazar, A., "Force reduction factor for SDOF and MDOF" ASCE 2000

14 Lopez, O. A., "Evaluation of combination rules for maximum response calculation in multicomponent seismic analysis" 30 (30): 1379-1398, 2001

15 Menun, C, "Envelopes for seismic response vectors. I: Theory" ASCE 126 (126): 467-473, 2000

16 Reyes-Salazar, A, "Energy dissipation at PR frames under seismic loading" ASCE 127 (127): 588-593, 2001

17 Shi, G, "Elasto-plastic large deformation analysis of spaces-frames" 26 : 589-615, 1988

18 Haldar, A., "Elasto-plastic large deformation analysis of PR steel frames for LRFD" 31 (31): 811-823, 1989

19 Newmark, N. M, "Earthquake spectra and design, Monograph Series" Earthquake Engineering Institute 1982

20 Clough, R. W., "Dynamics of structures" McGraw-Hill 1993

21 Reyes-Salazar, A, "Dissipation of energy in steel frames with PR connections" 9 (9): 241-256, 2000

22 Lopez, O. A., "Critical response of structures to multi-component earthquake excitation" 29 : 1759-1778, 2000

23 Alfredo Reyes-Salazar, "Combined effect of the horizontal components of earthquakes for moment resisting steel frames" 국제구조공학회 4 (4): 189-209, 2004

24 Penzien, J., "Characteristics of 3-Dimensional earthquake ground motions" 3 : 365-373, 1975

25 Rosenblueth, E, "Approximate design for multi-component earthquakes" ASCE 103 (103): 895-911, 1977

26 Valdes-Gonzalez, J., "Análisis de efectos sísmicos ortogonales horizontales en terreno blando" 80 : 1-20, 2009

27 Lopez, O. A., "Adapting the CQC3 rule for three seismic components with different spectra" ASCE 130 (130): 403-410, 2004

28 Menun, C., "A replacement for the 30%, 40% and SRSS rules for multi-component seismic analysis" 14 (14): 153-156, 1998

29 Lopez, O. A, "A clarification of orthogonal effects in a three-dimensional seismic analysis" 12 : 357-361, 1996

30 Wilson, E. L., "A Clarification of the orthogonal effects in a three-dimensional seismic analysis" 11 (11): 659-666, 1995