The robot moves at maximum speed and acceleration. Trajectory speed and acceleration are constrained by maximum allowable motor torques and forces in rods.
In this path planning demo, you can observe a considerable decrease in speed and acceleration in the upper left corner, where stiffness has its minimum.
A drawback of Parallel Robots is that they lose stiffness when approaching singular positions. In the singular position it is lost completely. For the Delta Robot, a singular position is where a rod of one parallelogram becomes parallel with a rod from another parallelogram.
Not any producers of Delta Robots that I know of actually have a dynamic model that also includes the stiffness of the structure. Parallel robots have the major drawback, that they loose stiffness when approaching singular positions. This is exactly what happens at the upper left corner of the rectangular path. At this spot, the maximum possible path acceleration is 3 times less than at the optimum stiffness position (the lower right corner).
JensOverby 2 years ago
Path is a "rectangle" with polynomial blend zones. Resulting path is 2nd order differentiable, which will make the transmission last longer than a couple of hours.
JensOverby 2 years ago
Directions and lengths of red lines indicate push/pull forces in each individual rod. White lines illustrate the torques required to manipulate the tool mass for each joint. Yellow lines illustrate the torques required to manipulate the masses/(moments of inertia) of the joints only. Dynamic model is fast and path planning can be done on the fly.
JensOverby 2 years ago