In this paper, a safety envelope concept for load tolerance is introduced. This shows the capacity of the current design as a future reference for design upgrade, maintenance, and control. The safety envelope is applied to estimate the load tolerance of a structural part with respect to the fatigue reliability. First, the dynamic load history is decomposed into the average value and amplitude, which are modeled as random variables. Second, through fatigue analysis and uncertainty propagation, the reliability is calculated. Last, based on the implicit function evaluation for the reliability, the boundary of the safety envelope is calculated numerically. The effect of different distribution types of random variables is then investigated to identify the conservative envelope. In order to improve the efficiency of searching the boundary, probabilistic sensitivity information is utilized. When the relationship between the safety of the system and the load tolerance is linear or mildly nonlinear, the linear estimation of the safety envelope turns out to be accurate and efficient. During the application of the algorithm, a stochastic response surface of logarithmic fatigue life with respect to the load capacity coefficient is constructed, and the Monte Carlo simulation is utilized to calculate the reliability and its sensitivities.
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July 2006
Research Papers
Safety Envelope for Load Tolerance and its Application to Fatigue Reliability Design
Haoyu Wang,
Haoyu Wang
Graduate Student
Department of Mechanical and Aerospace Engineering,
University of Florida
, Gainesville, FL 32611
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Nam H. Kim,
Nam H. Kim
Assistant Professor
Department of Mechanical and Aerospace Engineering,
e-mail: nkim@ufl.edu
University of Florida
, PO Box 116250, Gainesville, FL 32611
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Yoon-Jun Kim
Yoon-Jun Kim
Senior Researcher
Technical Center
, Caterpillar Inc., PO Box 1875, Peoria, IL 61656
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Haoyu Wang
Graduate Student
Department of Mechanical and Aerospace Engineering,
University of Florida
, Gainesville, FL 32611
Nam H. Kim
Assistant Professor
Department of Mechanical and Aerospace Engineering,
University of Florida
, PO Box 116250, Gainesville, FL 32611e-mail: nkim@ufl.edu
Yoon-Jun Kim
Senior Researcher
Technical Center
, Caterpillar Inc., PO Box 1875, Peoria, IL 61656J. Mech. Des. Jul 2006, 128(4): 919-927 (9 pages)
Published Online: December 22, 2005
Article history
Received:
September 19, 2005
Revised:
December 22, 2005
Citation
Wang, H., Kim, N. H., and Kim, Y. (December 22, 2005). "Safety Envelope for Load Tolerance and its Application to Fatigue Reliability Design." ASME. J. Mech. Des. July 2006; 128(4): 919–927. https://doi.org/10.1115/1.2204971
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