Can Simscape Multibody or Simscape Driveline generate automatically the dynamic equations of motion?

The description of the package for Simscape Multibody says it can formulate the equations of motion for a mechanical system. I searched everywhere in the documentation and examples and I can't find a single example of how to do this, is there a specific block or does it actually mean the software calculates the equations as a black box and can't be extracted? Additionally, I'm also looking to calculate and simulate the natural frequencies of a planetary gearbox, can this packages also do this?

I'd appreciate any comments and suggestions, thank you!

"You can model multibody systems using blocks representing bodies, joints, constraints, force elements, and sensors. Simscape Multibody formulates and solves the equations of motion for the complete mechanical system. You can import complete CAD assemblies, including all masses, inertias, joints, constraints, and 3D geometry, into your model. An automatically generated 3D animation lets you visualize the system dynamics."

https://uk.mathworks.com/help/physmod/sm/

Answer 1

[Steve Miller]

Hi Rogelio,

The equations for the entire system are formulated and symbolically reduced internally, and not exposed. The equations for individual blocks are available as source code for the foundation library and in the documentation for all blocks.

The natural frequency of a gearbox can be extracted if you linearize your system. Assuming you need flexible shafts and/or teeth, this example could be a starting point:

https://www.mathworks.com/help/releases/R2017a/physmod/sdl/examples/flexible-shaft.html

--Steve