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MapleSim is a fantastic tool to model multi-domain physical systems at a level that was unthinkable not so long ago. This post is about a simple problem that can be solved by hand, but where I failed with MapleSim using online resources.

For some time, I have been looking for answers to two questions:

  • How to control which variables (and parameters) are included in MapleSims equation exports? This question is crucial to derive forward and inverse kinematics.
  • Can the Equation Extraction App (in principle) provide a similar set of equations than the Multibody Analysis App? This question is rather academic until multidomain exports are desired (which the Multibody Analysis can’t provide).

The attached model helped me to clarify a few things and discover a real hidden secret (at least it was for me). I hope it can help others.

The model is a rather simple 3DOF mechanism. The task was to get a set of equations to derive the two rotations and the one displacement of the mechanism as a function of x,y,z coordinates.

After watching videos and inspecting models from the model gallery on inverse kinematics, I placed motion drivers for the input variables, added sensors for the output variables and wrapped the mechanism into a subsystem. However, as explained in more detail in the attachment, the set of exported variables was incomplete in both apps (AEs exports in the Equation Extraction Export and Position Constraints in the Multibody Analysis Export). Furthermore, the number of extracted equations did not match the three degrees of freedom.

After numerous trials it turned out that in addition to the motion drivers and sensors, initial conditions (ICs) had to be set. This is the hidden secret.  The crucial initial conditions (detailed in the attachment) are not required to assemble and run the model. So, introducing them temporarily for equation extraction is not obvious and never came to my mind. Setting ICs is, if I am not completely mistaken, also not highlighted in the documentation. This little trick of additionally setting initial conditions answered the above questions positively (at least for this 3DOF mechanism). In fact, it worked so well that all other failed attempts of conditioning the model for equations extraction worked immediately:

  • Immobilizing the assembly with a Fixed Frame (using parameters for the fixed frame position to represent input variables; the fixed frame can be inside or outside the subsystem model).
  • Using one Prescribed Translation component Instead of 3 motion drivers
  • Using variables to pass motion signals into the model subsystem instead of using signals and ports (using From variable and To Variable components)

These attempts underline the effort and the time spend to get the relevant equations for that simple problem. As it turned out, all approaches work but are not even required for the mechanism. The key to success was setting the ICs of the joints.  One can even strip the model down to its skeleton (removing all motion drivers and sensors as in the screen shot bellow) and still get the desired simple set of equations, provided the ICs are set.


It has to be noted, that the mechanically coupled (highlighted in yellow) prismatic joints contributed to the problems: MapleSim does not seem to take this mechanical constraint into account (as I would have expected). The ICs of both coupled components must be set to get the three equations containing all desired in and output variables.

If my finding is correct and of general relevance, I like to suggest including such kind of tips and tricks in training or reference material.  From an application engineer or developers’ perspective, knowing the underlying algorithms, its probably obvious what has to be done. But from a user’s perspective MaplsSim is a black box that works magically well in most cases. If it does not, trial and error is often the only alternative to make it work, because models are either too complex or too confidential to be shared with others.   

What I am addressing here is only the initial step of getting the desired equations. There is more to master. Save manipulation of equations too big to be inspected visually is also important. This has been well covered in several videos. Unfortunately, the quality of some of the footage does not allow to capture details of Maple commands. If possible, such material should be updated or replaced.

Overall, a collection of tips&tricks and dos&don’ts could establish some kind of best practice in deriving kinematics. If others would share their experience and findings, we all could save allot of time. A collection of valuable posts, questions, models, videos, and webinars could be a start. This collection not necessarily has to meet the high Maple standards of mathematical exactness and consistency. Engineers also accept pragmatic solutions to solve a problem.

If my findings are incorrect or you have better advise, please let us know.


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We’ve just released Maple Flow 2022!

The name of the product – Flow - references a psychological concept known as the flow state. You might know it as being in the zone. That’s when you’re so immersed in your present task that outside distractions melt away, your problem solving skills are firing on all four cylinders, and feel-good neurochemicals flood your brain.

Maple Flow supports a mathematical flow state through a simple design that productively guides the loosely structured and somewhat haphazard way that most people work.

Since Maple Flow's release a year ago, we've regularly added new features through updates, and we're commited to maintaining that momentum. These updates are driven by user feedback, so keep sending your comments and requests my way.

Here’s what we have lined up for you in Flow 2022.

Flow 2022 features a new in-product help system - see it in action here:

In addition to copying & pasting equations and expressions from a help page, you can open entire help pages as worksheets. The nature of Flow means that the help pages have a certain immediacy that becomes very tangible once you start working with them.

You can change the background colour of containers to highlight important results or draw the reader's attention to specific groups of containers.

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We've also made many other quality-of-life changes to Flow. Head on over to the Maple Flow website to learn more or download an evaluation.

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