Page 121 - Using ANSYS for Finite Element Analysis Dynamic, Probabilistic, Design and Heat Transfer Analysis

108 • using ansys for finite eLement anaLysis

Material properties Nominal value Distribution
Gaussian distribution
with a mean value
equal to the nominal
Young’s modulus (E) 207,000 N/mm 2
value and a standard
deviation of 5% of its
mean value.
Gaussian distribution
with a mean value
equal to the nominal
Poisson’s ratio (ν) 0.3
value and a standard
deviation of 5% of its
mean value.

Loading Nominal value Distribution
Lognormal distribution
with a mean value equal
Applied Moment (Ma) 100 N-mm/mm to the nominal value and
a standard deviation of
10% of its mean value.

3.6.1 APPRoACh AnD ASSUMPTionS

Since the problem is axisymmetric only a small sector of elements is
needed. A small angle θ = 30° is used for approximating the circular bound-
ary. The calculated load is equally divided and applied to the outer nodes.

3.6.2 SUMMARy oF STePS

1. Enter the PDS and execute the file for the deterministic model
(CIRCPLATE.txt).
2. Specify CIRCPLATE.txt as the analysis file for the probabilistic
analysis.
3. Define the RVs for your probabilistic analysis. For this problem,
you define the inner radius, outer radius and thickness of the plate,
Young’s modulus and poisson’s ratio, and applied moment as RVs
with various distribution functions.
4. Define the random output variables. You define the maximum
deflection and maximum equivalent stress at the fixed edges as the
output parameters.