The front of the robot, which doubles as sort of a wide, immobile front leg, holds the battery with wires running to a circuit board at the top. More wires run back to the actuators on the rear legs, each of which is essentially an elastic rod bent into a loop and the motor that twists the rod.

Small robot propulsion: low-power twisting enables hopping, swimming

The mechanism works on challenging surfaces such as slippery cloth and grass-covered ground, producing frog-like motion.

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The twisting of bent elastic rods can produce a snapping motion that enables small robots to hop or swim, roboticists at the UCLA Samueli School of Engineering and the University of Michigan Engineering have demonstrated.

The advance offers a promising mechanism for robots with limited power, particularly miniature robots, according to the research team. The study was funded by the National Science Foundation.

Published in Science Advances, the research was co-led by Khalid Jawed, an associate professor of mechanical and aerospace engineering at UCLA, and Xiaonan (Sean) Huang, an assistant professor of robotics at U-M.

“The broader opportunity is to let the mechanics of the robot do some of the work that would otherwise require larger motors or more complicated control,” said Huang. “By programming when an elastic structure stores and rapidly releases energy, we can give small robots access to powerful, repeatable motions without continuously demanding high output from the motor. In the future, this principle could be useful for robots that must navigate cluttered terrain, overcome obstacles, reorient quickly or operate across both land and water.”

Perfecting the snap

When a flexible rod is bent, and its ends are rotated, it eventually reaches a point where it changes shape to release built-up tension—but this change does not always happen in the same way. Under some combinations of bending and twisting, the rod changes shape gradually. Under others, it snaps rapidly from one shape to another, with the potential to provide a strong push.

Through computer modeling and experiments, the team optimized a helical shape, like a segment of a coiled spring, that maximized the burst of energy while resetting quickly for the next snap. 

“Because it’s the rod’s shape — not its size — that determines whether it snaps sharply or deforms gradually, the same design rules apply across a wide range of scales,”  said Jawed, whose lab worked on the simulation and robot arm experiments. “This opens a promising path toward robots just a few millimeters wide, turning small motor movements into powerful bursts of motion.”

The robot floats at the top of the water, loops pushed backward beneath the surface.
The robot swims in a tank of water with paddle attachments added to the loops. IMAGE: Dezhong Tong, University of Michigan/UCLA.
he five stairs, ascending and then descending, are scaled to the size of the robot—about one body-length for tread depth and half the robot's height for rise. The robot is in midair above the second step.
The robot shown in mid-air, leaping up a set of small steps. The loops at the rear are blurred from the snapping motion. IMAGE: Dezhong Tong, University of Michigan/UCLA.

Testing snap propulsion in a robot

After optimizing the propulsion mechanism, the team designed and built real robots that use the snapping rods to hop. Connected to a rotating motor, the bent rods twist until they produce the snapping motion. Then the motor unwinds the twist and proceeds to contort the rod again. 

“Once we could predict when a rod would snap, we could use that sudden release of energy to turn a simple motor movement into a powerful push that sends the robot hopping forward,” said U-M postdoctoral scholar Dezhong Tong, the study’s co-lead author with Jiaqi Wang, a PhD student in robotics at U-M. Tong started working on the project while a graduate student in Jawed’s group at UCLA.

The front of the robot, which doubles as sort of a wide, immobile front leg, holds the battery with wires running to a circuit board at the top. More wires run back to the actuators on the rear legs, each of which is essentially an elastic rod bent into a loop and the motor that twists the rod.
An illustration of the hopping robot shows the elastic rods bent into loops at the rear. When the bent rods are twisted, they suddenly snap, producing a hopping motion reminiscent of a frog. IMAGE: Dezhong Tong, University of Michigan/UCLA
The front of the robot, which doubles as sort of a wide, immobile front leg, holds the battery (labeled "LiPo battery") with wires running to a circuit board at the top. More wires run back to the actuators on the rear legs, each with a black box that is labeled as a mini servo, and each with an elastic rod bent into a loop, labeled "snap-amplified helical elastic limbs."
A diagram of the hopping robot. When the helical elastic limbs at the back are twisted, they produce a snapping motion, propelling the robot forward with a hopping motion reminiscent of a frog. IMAGE: Dezhong Tong, University of Michigan/UCLA

The frog-like prototype, with a pair of snapping rods at the rear of the device, hopped over a broad range of test surfaces—from solid materials like wood and glass to soft and slippery materials like leather. Outside, the palm-sized robot tackled sand and grass. It could climb and descend steps and, with paddle attachments, could even swim.

The robot is barely taller than the leaf-strewn lawn it sits on.
In grass that is nearly as tall as the robot, the hopping robot could travel much further than a similar robot equipped with rigid legs.

Moving the two snapping rods at different rates enabled the robot to turn, and the team used a remote control to maneuver the robot around a small sandbox with rock obstacles. They also automated a simple navigation method, using light sensors so that the robot would approach a light source.

The small prototype, weighing about 0.25 lbs, could move about three body lengths per second—similar to a baby loggerhead turtle making its way to the sea.

Other study authors include Zexiong Chen, a former graduate student at the University of Michigan; Andy Borum, an assistant professor of mathematics and statistics at Vassar College in New York; and Weicheng Huang, a lecturer/assistant professor of mechanics and robotics at Newcastle University, U.K.

Story by Matthew Chin, UCLA Samueli.