This study shows that the type of the analytical treatment that should be adopted for nonprobabilistic analysis of uncertainty depends on the available experimental data. The main idea is based on the consideration that the maximum structural response predicted by the preferred theory ought to be minimal, and the minimum structural response predicted by the preferred theory ought to be maximal, to constitute a lower overestimation. Prior to the analysis, the existing data ought to be enclosed by the minimum-volume hyper-rectangle that contains all experimental data. The experimental data also have to be enclosed by the minimum-volume ellipsoid . If is smaller than and the response calculated based on it is smaller than , then one has to prefer interval analysis. However, if is in excess of and is greater than , then the analyst ought to utilize convex modeling. If equals or these two quantities are in close vicinity, then two approaches can be utilized with nearly equal validity. Some numerical examples are given to illustrate the efficacy of the proposed methodology.
Skip Nav Destination
e-mail: xjwang@buaa.edu.cn
e-mail: elishako@fau.edu
e-mail: zpqiu@buaa.edu.cn
Article navigation
July 2008
Research Papers
Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize
Xiaojun Wang,
Xiaojun Wang
Institute of Solid Mechanics,
e-mail: xjwang@buaa.edu.cn
Beijing University of Aeronautics and Astronautics
, Beijing, 100083, P.R.C.
Search for other works by this author on:
Isaac Elishakoff,
Isaac Elishakoff
Department of Mechanical Engineering,
e-mail: elishako@fau.edu
Florida Atlantic University
, Boca Raton, FL 33431-0991
Search for other works by this author on:
Zhiping Qiu
Zhiping Qiu
Institute of Solid Mechanics,
e-mail: zpqiu@buaa.edu.cn
Beijing University of Aeronautics and Astronautics
, Beijing, 100083, P.R.C.
Search for other works by this author on:
Xiaojun Wang
Institute of Solid Mechanics,
Beijing University of Aeronautics and Astronautics
, Beijing, 100083, P.R.C.e-mail: xjwang@buaa.edu.cn
Isaac Elishakoff
Department of Mechanical Engineering,
Florida Atlantic University
, Boca Raton, FL 33431-0991e-mail: elishako@fau.edu
Zhiping Qiu
Institute of Solid Mechanics,
Beijing University of Aeronautics and Astronautics
, Beijing, 100083, P.R.C.e-mail: zpqiu@buaa.edu.cn
J. Appl. Mech. Jul 2008, 75(4): 041018 (8 pages)
Published Online: May 16, 2008
Article history
Received:
June 28, 2007
Revised:
March 4, 2008
Published:
May 16, 2008
Citation
Wang, X., Elishakoff, I., and Qiu, Z. (May 16, 2008). "Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize." ASME. J. Appl. Mech. July 2008; 75(4): 041018. https://doi.org/10.1115/1.2912988
Download citation file:
Get Email Alerts
Related Articles
Probabilistic Models Applicable to the Short-Term Extreme Response Analysis of Jack-Up Platforms
J. Offshore Mech. Arct. Eng (November,2003)
Model-Form Calibration in Drift-Diffusion Simulation Using Fractional Derivatives
ASME J. Risk Uncertainty Part B (September,2016)
Semi-Analytic Probability Density Function for System Uncertainty
ASME J. Risk Uncertainty Part B (December,2016)
Uncertainty in Finite Element Modeling and Failure Analysis: A Metrology-Based Approach
J. Pressure Vessel Technol (February,2006)
Related Proceedings Papers
Related Chapters
PSA Level 2 — NPP Ringhals 2 (PSAM-0156)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Achievements, Challenges, and Opportunities
Computer Vision for Structural Dynamics and Health Monitoring
Establishing Unmanning Criteria for a Jacket Structure on the NCS
Ageing and Life Extension of Offshore Facilities