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a Weibull distribution with a Weibull exponent of m = 2.0, a Weibull characteristic value of xchr = 1.0 and a lower
limit of xW,min = 0.0. The random input variable XE follows an exponential distribution with a decay parameter
generally expressed as λ and lower limit of xE,min = 0.0. Figure 232.1 Distribution of Input Variable XW ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–539 VM232 Figure 232.2 Distribution of Input Variable XE Analysis Assumptions and Modeling Notes
The probability density function of XW is:
m −1 fW ( x W ) = m − x W − x W ,min exp m x chr − x W ,min (xchr − x W ,min ) m (x W − x W ,min ) Using the values of m = 2.0, xchr = 1.0 and xmin = 0.0, the probability density function of XW reduces to: fW ( x W ) = 2x W exp( − x 2 )
The probability density function of XE is: fE ( xE ) = λ exp( −λ( x − xE,min ))
Using the value xmin, the probability density function of XE reduces to: fE ( xE ) = λ exp( −λxE )
The random output parameter Y as a function of the random input variables is defined as: y =...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.
- Spring '09
- The Land