Analytical Modeling of Inelastic Seismic Response of R/C Structures
Publication: Journal of Structural Engineering
Volume 116, Issue 4
Abstract
An analytical modeling scheme is developed to assess the damage‐ability of reinforced concrete buildings experiencing inelastic behavior under earthquake loads. The structural model used to discretize a building is capable of integrating ductile moment‐resisting frames with shear‐wall models and out‐of‐plane transverse elements to allow simulation of special interactions that are important in modeling overall structural behavior. The structural model is achieved using a combination of concentrated plasticity at member ends and a distributed flexibility rule that accounts for the spread of plasticity based on the variation of the contra‐flexure point during dynamic response. The inelastic behavior of components is monitored using a new hysteretic model that utilizes a nonsymmetric trilinear envelope and permits the modeling of stiffness degradation, strength deterioration, and pinching, respectively. The structural parameters, such as moment‐curvature envelopes, etc., required for the inelastic seismic response analysis are computed in‐core, using mechanical models and empirical equations that emerge from identification studies. The results of the response analysis are expressed as damage indices using a calibrated damage model based on energy and ductility. This enables the estimation of energy and strength reserves in the structure before collapse. Several examples are presented to illustrate the versatility of the proposed modeling schemes.
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References
1.
Atalay, M. B., and Penzien, J. (1975). “The seismic behavior of critical regions of reinforced concrete components influenced by moment, shear and axial force.” Report No. UCB/EERC/75/19, Univ. of California, Berkeley, Calif.
2.
Aoyama, H. (1971). “Analysis on a school building damaged during the Tockachi‐Oki earthquake.” Proc., Kanto District Symp., Arch. Inst. of Japan, Tokyo, Jan.
3.
Aoyama, H., and Sugano, T. (1968). “A generalized inelastic analysis of reinforced concrete structures based on tests of members.” Recent researches of structural mechanics—contributions in honor of the 60th birthday of Prof. Y. Tsuboi, Uno Shoten, Tokyo, Japan, 15–30.
4.
Chung, Y. S., Meyer, C., and Shinozuka, M. (1987). “Seismic damage assessment of reinforced concrete members.” Technical Report NCEER‐87‐0022, State Univ. of New York at Buffalo, Buffalo, N.Y.
5.
Clough, R. W., Benuska, K. L., and Wilson, E. L. (1965). “Inelastic earthquake response of tall buildings.” Proc., 3rd World Conf. on Earthquake Engrg., New Zealand, II, 68–89.
6.
Clough, R. W., and Johnston, S. B. (1966). “Effect of stiffness degradation in earthquake ductility requirements.” Proc., Japan Earthquake Engrg. Conf., Tokyo, Japan, 227–232.
7.
Darwin, D., and Nmai, C. K. (1986). “Energy dissipation in RC beams under cyclic load.” J. Struct. Engrg., ASCE, 112(8), 1829–1846.
8.
Ferguson, P. M., Breen, J. E., and Thompson, J. N. (1965). “Pullout test on high strength reinforcing bars.” ACI Struct. J., 62(August), 933–950.
9.
Fukada, Y. (1969). “A study on the restoring force characteristics of reinforced concrete buildings.” Proc., Kanto District Symp., Arch. Inst. of Japan, Tokyo, Japan, No. 40, (in Japanese).
10.
Giberson, M. F. (1969). “Two nonlinear beams with definitions of ductility.” J. Struct. Div., ASCE, 95(2), 137–157.
11.
Gosain, N. K., Brown, R. H., and Jirsa, J. O. (1977). “Shear requirement for load reversals on RC members.” J. Struct. Div., ASCE, 103(7), 1461–1476.
12.
Hirosawa, M. (1975). “Past experimental results on reinforced concrete shear walls and analysis on them.” Building Res. Inst., Ministry of Construction, Tokyo, Japan, (in Japanese).
13.
Iwan, W. D. (1973). “A model for the dynamic analysis of deteriorating structures.” Proc., 5th WCEE, Rome, II, 1782–1791.
14.
Kabeyasawa, T., et al. (1983). “Analysis of the full‐scale seven‐story reinforced concrete test structure.” J. Faculty of Engrg., Univ. of Tokyo, Japan, XXXVII(2), 431–478.
15.
Kanaan, A. E., and Powell, G. H. (1973). “DRAIN‐2D—A general purpose computer program for dynamic analysis of inelastic plane structures.” Report Nos. UCB/EERC/73/06 and 73/22, Univ. of California, Berkeley, Calif.
16.
Kunnath, S. K., Park, Y. J., and Reinhorn, A. M. (1987). “Substructuring technique for shaking table testing.” Abstracts of 6th ASCE Engrg. Mech. Specialty Conf., State Univ. of New York at Buffalo, Buffalo, N.Y.
17.
Kustu, O., and Bouwkamp, J. G. (1973). “Behavior of reinforced concrete deep beam‐column subassemblages under cyclic loads.” Report No. UCB/EERC/73/08, Univ. of California, Berkeley, Calif.
18.
Muto, K., et al. (1973). “Earthquake resistant design of a 20‐story reinforced concrete building.” Proc., 5th World Conf. on Earthquake Engrg., Rome, Italy, II, 1960–1969.
19.
Nakata, S., Sproul, T., and Penzien, J. (1978). “Mathematical modeling of hysteresis loops for reinforced concrete columns.” Report No. UCB/EERC/78/11, Univ. of California, Berkeley, Calif.
20.
Otani, S. (1975). “SAKE: A computer program for inelastic analysis of R/C frames to earthquakes.” Tech. Report Struct. Res. Series No. 413, Univ. of Illinois, Urbana, Ill.
21.
Otani, S., and Sozen, M. A. (1972). “Behavior of multistory reinforced concrete frames during earthquakes.” Tech. Report Struct. Res. Series No. 392, Univ. of Illinois, Urbana, Ill.
22.
Pantazopoulou, S. J., Moehle, J. P., and Shahrooz, B. M. (1988). “Simple analytical model for T‐beams in flexure.” J. Struct. Engrg., ASCE, 114(7), 1507–1523.
23.
Park, R., Kent, D. C., and Sampson, R. A. (1972). “Reinforced concrete members with cyclic loading.” J. Struct. Div., ASCE, 98(7), 1341–1360.
24.
Park, R., and Paulay, T. (1974). Reinforced concrete structures. John Wiley & Sons, Inc., New York, N.Y.
25.
Park, Y. J., Ang, A. H.‐S., and Wen, Y. K. (1984). “Seismic damage analysis and damage‐limiting design of R. C. buildings.” Tech. Report SRS No. 516, Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
26.
Park, Y. J., Reinhom, A. M., and Kunnath, S. K. (1987). “IDARC: Inelastic damage analysis of reinforced concrete frame—shear‐wall structures.” Tech. Report NCEER‐87‐0008, State Univ. of New York at Buffalo, Buffalo, N.Y.
27.
Roufaiel, M. S. L., and Meyer, C. (1987). “Analytical modeling of hysteretic behavior of R/C frames.” J. Struct. Engrg., ASCE, 113(3), 429–444.
28.
Stephens, J. E., and Yao, J. T. P. (1987). “Damage assessment using response measurement.” J. Struct. Engrg., ASCE, 113(4), 787–801.
29.
Takayanagi, T., and Schnobrich, W. C. (1977). “Computed behavior of coupled shear walls.” Proc., 6th WCEE, New Delhi, India, III, 3069–3074.
30.
Takeda, T., Sozen, M. A., and Nielsen, N. N. (1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div., ASCE, 96(12), 2557–2573.
31.
Takizawa, H. (1973). “Strong motion response analysis of reinforced concrete buildings.” Concrete J., Japan National Council of Concrete, 11(2), 10–21, (in Japanese).
32.
Takizawa, H. (1976). “Notes on some basic problems in inelastic analysis of planar R/C structures (Parts I and II).” Trans., Arch. Inst. of Japan, No. 240, Tokyo, Japan.
33.
Tani, S., and Nomura, S. (1973). “Response of reinforced concrete structures characterized by skeleton curve and normalized characteristic loops to ground motion.” Proc., 5th World Conf. on Earthquake Engineering, Rome, Italy, II, 2136–2139.
34.
Umemura, H., and Takizawa, H. (1982). “Dynamic response of reinforced concrete buildings.” Struct. Engrg. Documents 2, Int. Assoc. for Bridge and Struct. Engrg. (IABSE), Switzerland.
35.
Wight, J. K., ed. (1985). “Earthquake effects on reinforced concrete structures.” U.S.‐Japan Research, ACI Special Publication SP‐84, American Concrete Institute, Detroit, Mich.
36.
Wight, J. K., and Sozen, M. A. (1973). “Shear strength decay in reinforced concrete columns subjected to large deformation reversals.” Tech. Report Struct. Res. Series No. 403, Univ. of Illinois, Urbana, Ill.
37.
Yao, J. T. P., et al. (1986). “Stochastic fatigue, fracture and damage analysis.” Struct. Safety, (3), 231–267.
38.
Yunfei, H., et al. (1986). “The experimental study of a two‐bay three‐story reinforced concrete frame under cyclic loading.” Proc., 8th Symp. on Earthquake Engrg., Roorkee, India.
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Copyright © 1990 ASCE.
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Published online: Apr 1, 1990
Published in print: Apr 1990
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