Fatigue Reliability under Nonstationary Loads: Model Formulation
Publication: Journal of Structural Engineering
Volume 119, Issue 2
Abstract
This paper develops a method for predicting the expected low‐cycle fatigue damage in structures subjected to nonstationary loading processes. The load is a filtered Gaussian random process of limited duration. The resulting strain‐response process in a given structural component determines the fatigue damage of the component. The fatigue analysis is based on a recursive definition of waiting‐time distributions for range‐pair cycles. The range‐pair waiting‐time distribution is derived from the crossing rate of the strain‐response process through strain‐range limits. The waiting‐time distributions determine the probability that a given number of range‐pair cycles will occur through the duration of the response. The damage is assumed to accumulate linearly according to the Manson‐Coffin relationship. The methodology is applied numerically to a spherical storage tank subjected to a moderate earthquake. The expected damage correlates well with the results of a Monte‐Carlo simulation, indicating that the methodology can be successfully implemented for loadings of limited duration.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Al‐Sugair, F. H., and Kiremidjian, A. S. (1989). “A semi‐Markovian model for low‐cycle elastic‐plastic fatigue crack growth.” Engrg. Fracture Mech., 39(5/6), 1197–1207.
2.
Corotis, R. B., Vanmarcke, E. H., and Cornell, C. A. (1972). “First passage of nonstationary random processes.” J. Engrg. Mech. Div., ASCE, 98(2), 401–414.
3.
Fuchs, H. O., and Stephens, R. I. (1978). Metal fatigue in engineering. John Wiley& Sons, New York, N.Y.
4.
Kanai, K. (1957). “Semi‐empirical formula for the seismic characteristics of the ground.” Bull. No. 35, Earthquake Engineering Research Institute, University of Tokyo, Tokyo, Japan.
5.
Lai, S. P. (1982). “Statistical characterization of strong ground motions using power spectral density function,” Bull. Seismological Soc. of Am., 72(1), 259–274.
6.
Lawton, C. W. (1982). “Use of low‐cycle fatigue data for pressure vessel design.” Low‐Cycle Fatigue and Life Prediction ASTM STP 770, C. Amzallag, B. N. Leis, and P. Rabbe, eds., American Society for Testing and Materials, 585–599.
7.
Lin, Y. K. (1976). Probabilistic theory of structural dynamics. Robert E. Krieger Publishing Co., Malabar, Fla.
8.
Nielsen, R., and Kiremidjian, A. S. (1986). “Damage to oil refineries from major earthquakes.” J. Struct. Engrg., ASCE, 112(6), 1481–1491.
9.
Nielsen, R. J., and Kiremidjian, A. S. (1988). “Tall column reliability under non‐stationary loads: Model formulation.” J. Engrg. Mech., ASCE, 114(7), 1107–1128.
10.
Nielsen, R. J., and Tracy, D. (1989). “Low‐cycle fatigue reliability of offshore structures subjected to earthquakes.” Structural Materials; Proc., Struct. Congress '89, J. F. Orofino, ed., ASCE, New York, N.Y.
11.
Vanmarcke, E. H. (1983). Random fields—Analysis and synthesis. MIT Press, Cambridge, Mass.
12.
Vanmarcke, E. H. (1975). “On the distribution of the first‐passage time for normal stationary random processes.” J. Appl. Mech., 42, Series E (1), 215–220.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 119 • Issue 2 • February 1993
Pages: 662 - 669
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jan 1, 1991
Published online: Feb 1, 1993
Published in print: Feb 1993
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.