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HS-2210: Principle Component Analysis of a Cantilever Ibeam

HS-2210: Principle Component Analysis of a Cantilever Ibeam

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HS-2210: Principle Component Analysis of a Cantilever Ibeam

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The files used in this tutorial can be found in <hst.zip>/HS-2210/. Copy the files from this directory to your working directory.

hmtoggle_plus1greyStep 1: Perform the Study Setup
1.Start HyperStudy.
2.To start a new study, click File > New from the menu bar, or click files_new_hst2 on the toolbar.
3.In the HyperStudy – Add dialog, enter a study name, select a location for the study, and click OK.
4.Go to the Define Models step.
5.Add a Parameterized File model.
a.From the Directory, drag-and-drop the ibeam.tpl file into the work area.

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b.In the Solver input file column, enter ibeam.py. This is the name of the solver input file HyperStudy writes during any evaluation.
c.In the Solver execution script column, select Python (py).

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6.Click Import Variables. Four input variables are imported from the ibeam.tpl resource file.
7.Go to the Define Input Variables step.
8.Review the input variable's lower and upper bound ranges.
9.Go to the Specifications step.

 
hmtoggle_plus1greyStep 2: Perform the Nominal Run
1.In the work area, set the Mode to Nominal Run.
2.Click Apply.
3.Go to the Evaluate step.
4.Click Evaluate Tasks. An approaches/nom_1/ directory is created inside the study directory. The approaches/nom_1/run__00001/m_1 sub-directory contains the output.hstp file, which is the result of the nominal run, and will be used during the Optimization.
5.Go to the Define Output Responses step.

 
hmtoggle_plus1greyStep 3: Create and Define Output Responses
1.Create the Iy output response for the y-axis moment of inertia.
a.From the Directory, drag-and-drop the output.hstp file, located in approaches/nom_1/run_00001/m_1, into the work area.
b.In the File Assistant dialog, set the Reading technology to Altair® HyperWorks® (HstReaderPdd) and click Next.
c.Select Single item in a time series, then click Next.
d.Define the following options, and then click Next.
•Set Type to Output.
•Set Request to Iy.
•Set Component to Value.

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e.Label the output response Iy.
f.Set Expression to Maximum.

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g.Click Finish. The Iy output response is added to the work area.
2.Create four more output responses by repeating step 1, except change the component assigned to each output response to the following.

Output Response

Component

Volume

Vol

IZ

Iz

Displacement

d

Frequency1

Freq
3.Click Evaluate to extract the output response values.

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4.Click OK. This complete the study setup.

 
hmtoggle_plus1greyStep 4: Run a D-Optimal DOE Study
1.In the Explorer, right-click and select Add Approach from the context menu.
2.In the HyperStudy - Add dialog, select Doe and click OK.
3.Go to the Specifications step.
4.In the work area, set the Mode to D-Optimal.
5.In the Settings tab, change the Number of runs to 13, which is 2 more runs than the minimum required value.
6.Click Apply.
7.Go to the Evaluate step.
8.Click Evaluate Tasks.
9.Go to the Post-Processing step, and click the Ordination tab.

The biplot is interpreted by looking at the relationship between the lines that each represent one input variable or output response. The Displacement and Iy output responses show a strong negative correlation because they are aligned, but pointing in opposite directions. The displacement and Iy are also not at all correlated to the input variable web thickness, indicated by the orthogonality. Similar strong positive correlations are seen between the frequency and height or the volume, Iz, and flange length.

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