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Reliability Analysis with Interval Arithmetic

Gautam Dasgupta
Organization: Columbia University
Department: Department of Civil Engineering and Engineering Mechanics
Journal / Anthology

Mathematics with Vision: Proceedings of the First International Mathematica Symposium
Year: 1995
Page range: 111-118

The statistical nature of geometry and constitutive properties of engineering systems introduces stochastic nonlinearity in design response variables. After the mean and the standard deviation are estimated by Monte Carlo simulation based on engineering insights, b- distributions can be hypothesized once the upper and lower cut-off values are computed. In the interest of brevity, the procedure to obtain response ranges is emphasized with the use of the Mathematica object Interval.

*Applied Mathematics > Numerical Methods
*Applied Mathematics > Optimization