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TECHNICAL PAPERS

Moment-Based Load and Response Models With Wind Engineering Applications

[+] Author and Article Information
Steven R. Winterstein, Tina Kashef

Civil and Environmental Engineering Dept., Stanford University, Stanford, CA 94305-4020

J. Sol. Energy Eng 122(3), 122-128 (May 01, 2000) (7 pages) doi:10.1115/1.1288028 History: Received April 01, 1999; Revised May 01, 2000
Copyright © 2000 by ASME
Topics: Stress , Wind
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References

Kashef, T., and Winterstein, S. R., 1998, “Relating Turbulence to Wind Turbine Blade Loads: Parametric Study With Multiple Regression Analysis,” Proc., 1998 ASME Wind Energy Symposium, 36th AIAA Aero. Sci. Mtg., pp. 273–281.
Winterstein,  S. R., 1985, “Nonnormal Responses and Fatigue Damage.’' J. Eng. Mech., 111, No. 10, pp. 1291–1295.
Winterstein,  S. R., 1988, “Nonlinear Vibration Models for Extremes and Fatigue,” J. Eng. Mech., 114, No. 10, pp. 1772–1790.
Lutes, L. D., and Sarkani, S., 1997, Stochastic Analysis of Structural and Mechanical Vibrations, Prentice-Hall.
Madsen, P. H., Pierce, K., and Buhl, M., 1999, “Predicting Ultimate Loads for Wind Turbine Design,” Proc., 1999 ASME Wind Energy Symposium, 37th AIAA Aero. Sci. Mtg.
Winterstein,  S. R., and Haver,  S., 1991, “Statistical Uncertainties in Wave Heights and Combined Loads on Offshore Structures,” J. Offshore Mech. Arct. Eng., 114, No. 10, pp. 1772–1790.
Winterstein, S. R., Lange, C. H., and Kumar, S., 1995, FITTING: A Subroutine to Fit Four Moment Probability Distributions to Data, Rept. SAND94-3039, Sandia National Laboratories.
Winterstein,  S. R., and Lange,  C. H., 1996, “Load Models for Fatigue Reliability from Limited Data,” ASME J. Sol. Energy Eng., 118, No. 1, pp. 64–68.
Kashef, T., and Winterstein, S. R., 1998, “Moment-Based Probability Modelling and Extreme Response Estimation: The FITS Routine,” Rept. RMS-31, Reliability of Marine Structures Program, Dept. of Civ. & Environ. Eng., Stanford University.
Jha, A. K., and Winterstein, S. R., 1997, “Cycles 2.0: Fatigue Reliability Models and Results for Wave and Wind Applications,” Rept. RMS-27, Reliability of Marine Structures Program, Dept. of Civ. Eng., Stanford University.
Winterstein,  S. R., Ude,  T. C., and Marthinsen,  T., 1994, “Volterra Models of Ocean Structures: Extreme and Fatigue Reliability,” J. Eng. Mech., 120, No. 6, pp. 1369–1385.
Kotulski,  Z., and Sobczyk,  K., 1981, “Relating Turbulence to Wind Turbine Blade Loads: Parametric Study with Multiple Regression Analysis,” J. Stat. Phys., 24, No. 2, pp. 359–373.
Grigoriu, M., and Ariaratnam, S. T., 1987, “Stationary Response of Linear Systems to Non-Gaussian Excitations,” Proc., ICASP-5, Lind, N. C., ed., Vancouver, B.C., II , pp. 718–724.
Winterstein, S. R., Ude, T. C., and Kleiven, G., 1994, Springing and Slow-Drift Responses: Predicted Extremes and Fatigue vs. Simulation, Proc., BOSS-94, Vol. 3, Massachusetts Institute of Technology, pp. 1–15.
Winterstein, S. R., and Ness, O. B., 1989, Hermite Moment Analysis of Nonlinear Random Vibration, Computational Mechanics of Probabilistic and Reliability Analysis, Liu, W. K., and Belytschko, T., eds., Elme Press, Lausanne, Switzerland, pp. 452–478.
Winterstein, S. R., and Lo̸set, R., 1990, “Jackup Structures: Nonlinear Forces and Dynamic Response,” Proc., 3rd IFIP Conf. on Reliability and Optimization of Structural Systems, Berkeley, CA.
Jaynes,  E. T., 1957, “Information Theory and Statistical Mechanics,” Phys. Rev., 106, pp. 620–630.

Figures

Grahic Jump Location
Histogram of rainflow-counted stress amplitudes, all values included
Grahic Jump Location
Histogram of rainflow-counted stress amplitudes, values above 54.2 only
Grahic Jump Location
Histogram of rainflow-counted stress amplitudes, values above 65.1 only
Grahic Jump Location
Contribution of different stress amplitude levels to total damage
Grahic Jump Location
Fitting standard Weibull distributions, with various imposed shifts
Grahic Jump Location
Fitting quadratic Weibull distributions, with various imposed shifts. (Note lesser sensitivity to shift value compared with standard Weibull fit.)
Grahic Jump Location
Quadratic vs. cubic Weibull blade load distributions, fit to values above 54.2 only. (Note the double curvature of cubic Weibull model on this Weibull scale plot.)
Grahic Jump Location
Quadratic vs. cubic Weibull blade load distributions, fit to values above 65.1 only
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Oscillator Response; 30% Damping
Grahic Jump Location
Oscillator Response; 10% Damping

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