Load Combinations and Clustering Effects
Publication: Journal of Structural Engineering
Volume 110, Issue 11
Abstract
The probability of a first‐excursion failure under individual and combined loading is estimated. First‐order results and upper bounds are constructed from the probability density and mean upcrossing rate functions of each response. Nonergodic and nonstationary effects within load events are included. Second‐order reliability estimates are also presented, accounting for the tendency of threshold crossings to occur in clusters. Various sources of such clustering are identified, and their effects on the failure rate quantified. Extensions to the cases of dependent loads and fatigue‐related failures are examined briefly.
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References
1.
Bosshard, W., “On Stochastic Load Combinations,” John A. Blume Center for Earthquake Engineering, Technical Report No. 16, Department of Civil Engineering, Stanford University, June, 1975.
2.
Breirung, K., and Rackwitz, R., “Upcrossing Rates for Rectangular Pulse Load Processes,” Report No. 42, SFB96, Laboratory for Structural Engineering, Technical University of Munich, Munich, Germany, 1979.
3.
Cramer, H., and Leadbetter, M. R., Stationary and Related Stochastic Processes, John Wiley & Sons, Inc., New York, N.Y., 1967.
4.
Crandall, S. H., and Mark, W. D., Random Vibration in Mechanical Systems, Academic Press, New York, N.Y., 1963.
5.
Crandall, S. H., “First‐Crossing Probabilities of the Linear Oscillator,” Journal of Sound and Vibration, Vol. 12, No. 3, 1970, pp. 285–299.
6.
Ditlevsen, O., “Probabilistic Modeling of Man‐Made Load Processes and Their Individual and Combined Effects,” Proceedings ICOSSAR '81, Trondheim, Norway, June, 1981.
7.
Drake, A., Fundamentals of Applied Probability Theory, McGraw‐Hill Book Co., Inc., New York, N.Y., 1967.
8.
Grigoriu, M., “Crossings of Non‐Gaussian Translation Processes,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. 4, Apr., 1984, pp. 610–620.
9.
Harichandran, R., “Extremes of Combined Stochastic Dynamic Responses,” thesis, presented to the Massachusetts Institute of Technology, at Cambridge, Mass., in 1981, in partial fulfillment of the requirements for the degree of Master of Science.
10.
Hasofer, A. M., “Time Dependent Maximum of Floor Live Loads,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM5, Oct., 1974, pp. 1086–1091.
11.
Krenk, S., “A Double Envelope for Stochastic Processes,” Report No. 134, Structural Research Laboratory, Technical University of Denmark, Lyngby, Denmark, Feb., 1978.
12.
Larrabee, R. D., “Approximate Stochastic Analysis of Combined Loading,” Report R78‐28, No. 629, Department of Civil Engineering, Massachusetts Institute of Technology, Sept., 1978.
13.
Larrabee, R. D., and Cornell, C. A., “Combination of Various Load Processes,” Journal of the Structural Division, ASCE, Vol. 107, No. ST1, Jan., 1981, pp. 223–239.
14.
Madsen, H. O., “Load Models and Load Combinations,” Report No. 113, Structural Research Laboratory, Technical University of Denmark, Feb., 1979.
15.
Rackwitz, R., and Fiessler, B., “Structural Reliability under Combined Random Load Sequences,” Computers and Structures, Vol. 9, 1978, pp. 489–494.
16.
Rice, S. O., “Mathematical Analysis of Random Noise,” Selected Papers on Noise and Stochastic Processes, Wax, ed., Dover Publications, Inc., New York, N.Y., 1952.
17.
Schwartz, M. W., Ravindra, M. K., Cornell, C. A., and Chou, C. K., “Load Combination Methodology Development—Project II Final Report,” Lawrence Livermore National Laboratory, NUREG/CR‐2087, UCRL‐53025, Sept., 1981.
18.
Shinozuka, M., and Tan, R., “Probabilistic Load Combinations and Crossing Rates,” Proceedings, ASCE Symposium on Probability Methods in Structural Engineering, St. Louis, Mo., Oct., 1981.
19.
Toro, G., and Cornell, C. A., “Extremes of Gaussian Processes with Bimodal Spectra,” Journal of Engineering Mechanics, ASCE, to be published.
20.
Toro, G., “Probabilistic Analysis of Combined Dynamic Responses,” Technical Report No. 65, John A. Blume Center for Earthquake Engineering, Department of Civil Engineering, Stanford University, 1984.
21.
Vanmarcke, E. H., “On the Distribution of the First‐Passage Time for Normal Stationary Random Processes,” Journal of Applied Mechanics, Vol. 42, Mar., 1975, pp. 215–220.
22.
Vanmarcke, E. H., “Structural Response to Earthquakes,” Seismic Risk and Engineering, Chapter 8, Lomnitz and Rosenblueth, eds., Elsevier, 1976, pp. 287–337.
23.
Wen, Y.‐K., “Statistical Combination of Loads,” Journal of the Structural Division, ASCE, Vol. 103, No. ST5, May, 1977, pp. 1079–1093.
24.
Wen, Y.‐K., “Methods for Reliability of Structures under Multiple Time Varying Loads,” Journal of Nuclear Engineering and Design, Vol. 60, 1980, pp. 61–70.
25.
Wen, Y.‐K., “A Clustering Model for Correlated Load Processes,” Journal of the Structural Division, ASCE, May, 1981, pp. 965–983.
26.
Winterstein, S. R., “Combined Dynamic Responses: Extremes and Fatigue Damage,” Report R80‐46, No. 688, Department of Civil Engineering, Massachusetts Institute of Technology, Dec., 1980.
27.
Winterstein, S. R., “Diffusion Models and the Energy Fluctuation Scale: A Unified Approach to Extremes and Fatigue,” Technical Report No. 64, John A. Blume Center for Earthquake Engineering, Department of Civil Engineering, Stanford University, 1984.
28.
Wirsching, P. H., and Light, M. C., “Fatigue Under Wide Band Random Stresses,” Journal of the Structural Division, ASCE, Vol. 106, No. ST7, July, 1980, pp. 1593–1607.
29.
Yang, J.‐N., and Shinozuka, M., “On the First Excursion Probability in Stationary Narrow‐Band Random Vibration,” Journal of Applied Mechanics, Transactions ASME, Vol. 38, Dec., 1971, pp. 1017–1022,
and Vol. 39, Sept., 1972, pp. 733–738.
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Copyright © 1984 ASCE.
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Published online: Nov 1, 1984
Published in print: Nov 1984
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