Systems of fuzzy equations in structural mechanics

Journal of Computational and Applied Mathematics

Volumn 218, Issue 1, 2008, Pages 149-156

  Skalna, Iwona ^a   Rama Rao, M V ^b   Pownuk, Andrzej ^c  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

^b VASAVI COLLEGE OF ENGINEERING   (India)

^c UNIVERSITY OF TEXAS AT EL PASO   (United States)

Author keywords

Fuzzy equations; Fuzzy numbers; Interval analysis; Interval equations; Sensitivity analysis; Uncertainty

Indexed keywords

FINITE ELEMENT METHOD; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

FUZZY EQUATIONS; FUZZY NUMBERS; INTERVAL ANALYSIS; INTERVAL EQUATIONS;

FUZZY SYSTEMS;

EID: 44449105549     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.04.039     Document Type: Article

References (11)

1. Jansson C. Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side. Computing 46 3 (1991) 265-274
2. Juhasz Z., Kacsuk P., and Kranzlmller D. Distributed and Parallel Systems. Cluster and Grid Computing (2005), Springer, Berlin
3. Kleiber M., Antnez H., Hien T.D., and Kowalczyk P. Parameter Sensitivity in Nonlinear Mechanics, Theory and Finite Element Computations (1997), Wiley, Chichester
4. Muhanna R., and Mullen R.L. Uncertainty in mechanics problems-interval-based approach. J. Eng. Mech. ASCE 127 6 (2001) 557-566
5. Neumaier A. Interval Methods for Systems of Equations (1990), Cambridge University Press, Cambridge, MA
6. Neumaier A., and Pownuk A. Linear systems with large uncertainties, with applications to truss structures. Reliable Comput. 13 1 (2007) 149-172
7. Pownuk A. Efficient method of solution of large scale engineering problems with interval parameters based on sensitivity analysis. NSF workshop on Reliable Engineering Computing. Savannah, GA, USA (September 15-17, 2004) 305-316
8. Rao S.S., and Chen L. Numerical solution of fuzzy linear equations in engineering analysis. Internat. J. Numer. Methods Eng. 43 (1998) 391-408
9. Skalna I. A method for outer interval solution of parameterized systems of linear interval equations. Reliable Comput. 12 2 (2006) 107-120
10. I. Skalna, M.V. Rama Rao, A. Pownuk, Systems of fuzzy equations in structural mechanics, The University of Texas at El Paso, Department of Mathematical Sciences Research Reports Series, http://www.math.utep.edu/preprints/2007/2007-01.pdf, Texas Research Report No. 2007-01, 2007.
11. H. Zhang, Non-deterministic linear static finite element analysis: an interval approach, Ph.D. Thesis, School of Civil and Environmental Engineering, Georgia Institute of Technology, Savannah, GA, 2005.