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ANSYS varification manual 9

# 3 response surface plot 1542 ansys verification

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Unformatted text preview: tion of the random output parameter Y. Figure 230.1 Distribution of Input Variable ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–534 VM230 Analysis Assumptions and Modeling Notes From the reference A. H-S. Ang and W. H. Tang, Probability Concepts in Engineering Planning and Design, the random output parameter Y follows a log-normal distribution with a logarithmic mean of: Y= X1 X2 X3 X 4 X5 ξy=ξ1+ξ2+ξ3-ξ4-ξ5 and a logarithmic deviation of 2 2 2 δ y = δ1 + δ2 + δ3 + δ2 + δ5 2 4 The mean value of the random output parameter Y is: µ y = exp (ξ y + 0.5 δ2 ) y and the standard deviation is: σy = exp (2ξ y + δ2 ) (exp (δ2 ) − 1) = µ y (exp (δ2 ) − 1) y y y Using the following values: ξ1 = 1.1 δ1 = 0.1 ξ2 = 1.2 δ2 = 0.2 ξ3 = 1.3 δ3 = 0.3 ξ4 = 1.4 δ4 = 0.4 ξ5 = 1.5 δ5 = 0.5 the following analytical results are obtained: ξy = 0.7 δy = 0.74162 µy = 2.651167 σy = 2.2701994 For the ANSYS PDS analysis, a loop file is created which contains the random input variables and the random output variable. In the /PDS module, X1 through X5 are defined as probabilistic design variables and Y is defined as a response parameter. The PDS mean parameter values and deviations are defined with the values used in the...
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