Project 2

Part 1 (Individual Project):

Use ANSYS to obtain statistics information about b2 when length, width, alpha and external force have probabilistic distributions.

Probabilistic Distribution

Length

• Standard deviation of the Gaussian distribution … 1.0E-6
• Mean value of the Gaussian distribution … 2.0E-3

Width

• Standard deviation of the Gaussian distribution … 1.0E-6
• Mean value of the Gaussian distribution … 0.4E-3

Angle

• Mean value of the un-truncated Gaussian distribution … 2.5º
• Standard deviation of the un-truncated Gaussian distribution … 0.075º
• A lower bound of … 2.3º
• An upper bound of … 2.75º

External Force

• Standard deviation of the Gaussian distribution … 0.1*external force _mean value
• Mean value of the Gaussian distribution … external force _mean value

--What is the mean value and the standard deviation of the parameter "b2"?

--Plot a histogram of the parameter “b2” representing the air gap size and provide a print-out of the plot.

--Plot the cumulative distribution of the parameter “b2”. Choose “Gauss Plot” for the “Type of CDF plot” option. Provide a print-out of the plot.

--What is the probability that the parameter “b2” is less than 1.0e-7m as well as the 99% confidence interval of this probability?

--Plot the sensitivities of the parameter “b2” and provide a print-out of the plot.

--Plot a scatter plot of the parameter “b2” as a function of the input variable “ALPHA” and provide a print-out of the plot.