A Stepwise Guide on Cross Plotting any Two Curves Using the MATH option in Hypergraph 2D

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

What is meant by Cross Plotting?

Cross-plot is a synonym for scatter plots used primarily in the Earth Sciences and Social Sciences to describe a specialized chart that compares multiple measurements made at a single time or location along two or more axes. The axes of the plot are commonly linear, but may also be logarithmic.

HyperGraph 2D

A robust tool for data processing and visualisation, HyperGraph 2D has interfaces for several widely used file formats. Even the most difficult mathematical formulas can be processed by its advanced math engine. These functions are combined with customizable options and high-quality presentation output in HyperGraph 2D to produce a comprehensive data analysis system for any organisation.

Benefits

Design, test and analysis engineers can use HyperGraph 2D's user-friendly plotting and data analysis software. Engineers can examine and analyse data more quickly because of HyperGraph 2D's mix of an intuitive interface and a powerful set of automation capabilities. This, in turn, reduces the amount of time and human work needed to make graphs.

Steps to Cross Plot the Force vs Displacement in HyperGraph 2D

Step 1:

Import the .H3D file in HyperView, then Click on the “Build Plot” option as shown below:

 

 

Step 2:

Click the drop-down list box, choose the Result type as “Displacement”, then select the Magnitude.

 

 

Step 3:

Now select the Node, at which the displacement has to be calculated along the direction of motion and click on the “Apply” button, to get the Displacement vs Time Graph. 

 

 

By now the Window will be split into two parts as HyperView and HyperGraph 2D which contains the Graph as shown below:

 

 

Step 4:

After getting the Displacement vs Time graph, switch your Hyperview window into HyperGraph 2D by clicking the

 

 

 icon, in order to plot the Total Resultant Force vs Time graph.

 

 

Step 5:

In order to get the Total resultant force graph, select the X Type as Time and Y Type as Interface (ref img 1), which is created between the Impactor and Car, then click “Apply” button  as shown below  (ref img 2):

 

 

 

 

Step 6:

After getting the graph, click on the MATH option available in the Menu bar in order to Cross Plot the Total Resultant Force vs Time and Displacement vs Time Graph.

 

 

If the MATH option is not available in the Menu bar, do the following procedures to get the MATH option:

• Click the File → Load → Preference File.
• Now the Preferences dialogue box will appear.
• Select the Vehicle Safety Tools under the Registered Preferences.
• Click on the “Load” button to get the MATH option in the Menu bar.
  

 

 

Step 7:

By clicking on the MATH option, we will get the window layout as shown below. In order to select Curve X, we have to press Shift +Left Mouse and Click on the Displacement curve. For the Curve Y, we have to press Shift +Left Mouse Click on the Total Resultant Force curve (ref img 3)

 

 

After clicking on the curve, we will get the corresponding value of the Graph, as shown below:

 

 

Step 8:

After selecting the curves in the Parameters, Click on the Use Current plot under Layout and click on the “Apply” button. Now you will be getting two curves, which overlap each other. Delete the old curve.

 

 

Step 9:

Finally, we will get the Force vs Displacement graph as shown below:

 

 

Step 10:   To rename the X axis and Y axis

Move the cursor on the X axis, it will turn to Orange colour. Click on it and rename it as Displacement and click on the Y axis, rename it as Force.

 

 

After renaming both the X axis as Displacement and Y axis as Force, Click on the “Apply” button to get the Force vs Displacement graph by Cross Plotting.