Abstract
In this paper, an algorithm of calculation of extreme values of temperature based on interval arithmetic is presented. Many mechanical systems with uncertain parameters can be described by a parameter dependent system of linear equations K()T = B(). Using natural interval extension of a real function, one can transform the system of linear equations into the system of linear interval equations K()T = B(). Solution of the system of linear interval equations always contains the exact solution of the parameter dependent system of equations. A new method of computation of extreme values of mechanical quantities based on the monotonicity test is introduced. This method can give exact solution of a parameter dependent system of equations.
References
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[2] Y. Ben-Haim, I. Elishakoff. Convex Models of Uncertainty in Applied Mechanics. Elsevier Science Publishers, New York, 1990.
[3] I. Elishakoff. Essay on uncertainties in elastic and viscoelastic structures: from A.M. Freudenthal's criticisms to modern convex modelling. Computers and Structures, 56(6): 871- 895, 1995.
[4] I. Elishakoff, R.T. Haftka, J. Fang. Structural design under bounded uncertainty - Optimization with antioptimization. Computers and Structures, 53(6): 1401- 1405, 1994.
[5] I. Elishakoff, Y.W. Li, J .H. Starnes. A deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures. Computer Methods in Applied Mechanics and Engineering, 111: 155- 167, 1994.
[2] Y. Ben-Haim, I. Elishakoff. Convex Models of Uncertainty in Applied Mechanics. Elsevier Science Publishers, New York, 1990.
[3] I. Elishakoff. Essay on uncertainties in elastic and viscoelastic structures: from A.M. Freudenthal's criticisms to modern convex modelling. Computers and Structures, 56(6): 871- 895, 1995.
[4] I. Elishakoff, R.T. Haftka, J. Fang. Structural design under bounded uncertainty - Optimization with antioptimization. Computers and Structures, 53(6): 1401- 1405, 1994.
[5] I. Elishakoff, Y.W. Li, J .H. Starnes. A deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures. Computer Methods in Applied Mechanics and Engineering, 111: 155- 167, 1994.
