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bio control form Locomotion robots

Pantograph Legs

“They observed that many quadrupedal, mammalian animals feature a distinguished functional three-segment front leg and hind leg design, and proposed a “pantograph” leg abstraction for robotic research.”

1 DOF (degree of freedom). 1 motor. Miranda wants jointed legs, and I don’t want to work out inverse kinematics, so this looks ideal. Maybe a bit complicated still.

Biorobotics Laboratory, EPFL

The simpler force diagram:

Cheetah-cub leg mechanism, and leg compliance. A single leg is shown abstracted, detailed leg segment ratios are omitted for clarity, robot heading direction is to the left. (1) shows the three leg angles αprox, αmid, and αdist. Hip and knee RC servo motors are mounted proximally, the leg length actuation is transmitted by a cable mechanism. The pantograph structure was inspired by the work of Witte et al. (2003) and Fischer and Blickhan (2006). (2) The foot segment describes a simplified foot-locus, showing the leg in mid-swing. For ground clearance, the knee motor shortens the leg by pulling on the cable mechanism (green, Fcable). Fdiag is the major, diagonal leg spring. Its force extends the pantograph leg, against gravitational and dynamic forces. (3) The leg during mid-stance. (4) In case of an external translational perturbation, the leg will be compressed passively. (5) If an external perturbation torque applies e.g., through body pitching, the leg linkage will transmit it into a deflection of the parallel spring, not of the diagonal spring.
Cheetah-cub leg mechanism, and leg compliance. A single leg is shown abstracted, detailed leg segment ratios are omitted for clarity, robot heading direction is to the left. (1) shows the three leg angles αprox, αmid, and αdist. Hip and knee RC servo motors are mounted proximally, the leg length actuation is transmitted by a cable mechanism. The pantograph structure was inspired by the work of Witte et al. (2003) and Fischer and Blickhan (2006). (2) The foot segment describes a simplified foot-locus, showing the leg in mid-swing. For ground clearance, the knee motor shortens the leg by pulling on the cable mechanism (green, Fcable). Fdiag is the major, diagonal leg spring. Its force extends the pantograph leg, against gravitational and dynamic forces. (3) The leg during mid-stance. (4) In case of an external translational perturbation, the leg will be compressed passively. (5) If an external perturbation torque applies e.g., through body pitching, the leg linkage will transmit it into a deflection of the parallel spring, not of the diagonal spring.Kinematic primitives for walking and trotting gaits of a quadruped robot with compliant legs (Alexander Badri-Spröwitz et al, 2014)

Compliance is a feature, made possible by springs typically.

Biologically Inspired Robots - nitishpuri.github.io
https://nitishpuri.github.io/posts/robotics/biologically-inspired-robots/

A homemade attempt here with the Mojo robot of the Totally Not Evil Robot Army. Their robot only uses 9g servos, and can’t quite pick itself up.

I did an initial design with what I had around, and it turns out compliance is a delicate balance. Too much spring, and it just mangles itself up. Too little spring and it can’t lift off the ground.

Further iterations removed the springs, which were too tight by far, and used cable ties to straighten the legs, but the weight of the robot is a little bit too much for the knee joints.

I will likely leave it until I have a 3d printer, some better springs, and will give it another try with more tools and materials available. Maybe even hydraulics, some day,

Some more research required, too.

https://www.mdpi.com/1424-8220/20/17/4911/htm