GSoC’19: Week-10- An alternative to the draw() function

This was the end of the tenth week, and we have entered the final phase of the project.

For the last phase we have Truss calculations to be implemented in the continuum_mechanics module. I had initiated a discussion regarding what needs to be done and how the implementation will move forward in an issue #17302. We will have to analyse a bit more about making Truss calculations symbolic and what benefits one might get in solving it symbolically. We have some good packages to compare from like this. I guess a bit more discussion is needed before we go ahead with it.

Besides this, I had worked on improving the draw() function implemented in the previous week in PR #17240. I modified it to use the _backend attribute for plotting the beam diagram. This could have worked until I realised that using the _backend attribute doesn’t really has affect the Plot object. To understand the last statement, lets go to how sympy.plot() works.

In simple terms, the equations that we pass through the plot() function as arguments are actually stored in _series attribute. So we can indirectly say that the basic data of the plot is stored in this attribute. But using the _backend attribute wouldn’t alter _series at all and if _series remains empty at the start it would end up storing nothing.

But we are of course getting a decent plot at the end, so shouldn’t we probably ignore this? No, it would surely give the plot but we won’t be getting a fully defined Plot object which we can further use with PlotGrid to get a subplot which includes all the five plots related to the beam.

Keeping this in mind, I tried an alternative way to directly use sympy.plot()  to give the plot. Although a bit hard and time taking to do, I have intiated this in a draft PR #17345. This PR perfectly plots a rectangular beam and loads (except point and moment loads). Only things that are left here are to plot supports and arrows denoting the direction of the load.

The example below shows how it functions: (keep in mind it just plots the basic structure of the intended beam diagram, it hasn’t been completed yet)

>>> E, I = symbols('E, I')
>>> b = Beam(9, E, I)
>>> b.apply_load(-12, 9, -1)  # gets skipped
>>> b.apply_load(50, 5, -2)  # gets skipped
>>> b.apply_load(3, 6, 1, end=8)
>>> b.apply_load(4, 0, 0, end=5)
>>> b.draw()

I also tried to complete the leftover PR’s in this week, but still some work is left.

Next week:

  • Completing the draw() function
  • Documentation and testing
  • Starting Truss implementations

Will keep you updated!

Thanks!

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