Fatigue is produced by the sum of randomly phased sine waves. Fatigue damage during this non-Gaussian, finite random process is a function of the noise bandwidth, the fatigue slope, mean stress, and the rms stress. Methods are developed for predicting the cycles to failure. Comparison is made with data.
Issue Section:
Technical Papers
Topics:
Cycles,
Failure,
Fatigue,
Stress,
Probability,
Waves,
Density,
Stochastic processes,
Random noise
1.
Fuchs, H. O., and Stephens, R. I., 1980, Metal Fatigue in Engineering, John Wiley and Sons, New York.
2.
Crandall, S. H., and Mark, C. H., 1963, Random Vibrations in Mechanical Systems, Academic Press, San Diego, CA.
3.
Wirsching, P. H., Paez, T. L., and Ortiz, K., 1995, Random Vibrations, Theory and Practice, Wiley-Interscience, NY, pp. 162–166.
4.
Sobczyk, K., and Spencer, Jr., B. F., 1992, Random Fatigue From Data to Theory, Academic Press, San Diego, CA.
5.
Bishop
, N. W. M.
, and Sherrat
, F.
, 1989
, “Fatigue Life Prediction for Power Spectral Density Data, Part 1: Traditional Approaches; Part II: Recent Developments
,” Envir. Engr.
, 2
, pp. 11
–29
.6.
Lin, P. K., 1976, Probabilistic Theory of Structural Dynamics, Krieger, Melbourne, FL (reprint of 1967 edition with corrections).
7.
Powell
, A.
, 1958
, “On the Fatigue Failure of Structure due to Vibrations Excited by Random Pressure Fields
,” J. Acoust. Soc. Am.
, 30
, pp. 1130
–1135
.8.
Miles
, J.
, 1954
, “On Structural Fatigue Under Random Loading
,” J. Aeronaut. Sci.
, 21
, pp. 753
–762
.9.
Basquin, O. H., 1910, “The Exponential Law of Endurance Tests,” Proceedings Thirteench Annual Meeting, Vol. X, ASTM, Philadelphia, PA, pp. 625–630.
10.
Bannantine, J. A., Comer, J. J., and Handrock, J. L., 1990, Fundamental of Metal Fatigue Analysis, Prentice-Hall, Englewood Cliffs, NJ, pp. 59, 64.
11.
MIL-HDBK-5G, 1994, “Metallic Materials and Elements for Aerospace Vehicle Structures,” US Department of Defense.
12.
Manson, S. S., 1966, Thermal Stress and Low-Cycle Fatigue, McGraw-Hill, New York, p. 159.
13.
Blevins
, R. D.
, 1997
, “Probability Density of Finite Fourier Series with Random Phases
,” J. Sound Vib.
, 208
, pp. 617
–652
.14.
Gradshteyn, I. S., Ryzhik, I. M., and Jeffrey, A., 1994, Table of Integrals, Series, and Products, 5th Ed., Academic Press, San Diego, CA, Articles 3.251, 3.952, 8.338, 8.384.
15.
Wolfe, H. F., Camden, M. P., and Simmons, L. W., 1996, “Six Sigma Effects on the Random Response of a Cantilevered Beam with Random Excitation,” Proceedings of the 67th Shock and Vibrations Symposium, Vol. I, Monterey, CA, pp. 499–508.
16.
Pozefsky, P., Blevins, R. D., and Laganelli, A., 1989, “Thermo-Vibro Acoustic Loads and Fatigue of Hypersonic Flight Vehicle Structure,” AFWAL-TR-3014, Flight Dynamics Laboratory, Wright-Patterson Air Force Base, OH.
17.
Schneider, C. W., 1974, “Acoustic Fatigue of Aircraft Structures at Elevated Temperatures,” AFFDL-TR-73-155, Part 1, pp. 38, 41.
18.
Abramowitz, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions, National Bureau of Standards, Washington DC (reprinted by Dover).
19.
Mathematica, 1997, Ver 3.0, Wolfram Research, Champaign, IL.
20.
Microsoft Corporation, 1999, EXCEL 2000.
Copyright © 2002
by ASME
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