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Leg mechanism

technology Maturity 11-13 Next article →

A leg mechanism is a mechanical system designed to create movement through intermittent frictional contact with the ground. Unlike wheels or continuous tracks, which maintain constant contact with a surface, leg mechanisms use a stepping motion. This process involves a sequence of lifting and placing a foot to provide a propulsive force. Because they can step over obstacles, leg mechanisms are often better suited for uneven terrain than wheeled vehicles. These systems are built using linkages, which are connected parts that transmit motion. They can perform simple planar motion or much more complex movements depending on their design.

Strandbeest-Animation-rgb-100ms
Strandbeest-Animation-rgb-100ms

Designing an efficient walking machine requires balancing several technical goals during the movement cycle. One primary goal is to maintain a constant horizontal speed during the support phase. The support phase is the period when the foot is in contact with the ground. While the foot is not touching the ground, the mechanism should move it as fast as possible. Designers also aim for a constant torque or force input to avoid extreme spikes in energy. Another important factor is the stride height, which must provide enough clearance for obstacles without wasting too much energy. For a two- or four-legged mechanism, the foot must touch the ground for at least half of the cycle. For three- or six-legged versions, the foot should touch the ground for at least a third of the cycle.

Klann Linkage Walking with four legs
Klann Linkage Walking with four legs

Stability and control are also critical to the success of a leg mechanism. The vertical center of mass must always remain inside the base of support to prevent the machine from tipping over. Engineers also try to minimize the moving mass of the legs to improve efficiency. To allow for steering, the speed of each leg or group of legs must be separately controllable. A well-designed mechanism should also allow the machine to walk both forward and backward. In some advanced systems, an operator can control the stride height and length. This is often achieved using a hydraulic leg mechanism, though it is harder to do with a crank-based mechanism. Ideally, the force or torque variations during a rotation should cancel each other out for the whole vehicle.

Plantigrade walking 4 legs
Plantigrade walking 4 legs

History shows that humans have long been interested in mechanical walking. In 1770, Richard Lovell Edgeworth attempted to build a machine called the "Wooden Horse," but he was not successful. Later, Pafnuty Chebyshev designed the Plantigrade Machine, which was shown at the Exposition Universelle in 1878. In 1988, the book "Machines that Walk" presented the leg mechanism design for the Ohio State Adaptive Suspension Vehicle (ASV). In 1996, W-B. Shieh introduced a specific design methodology for these types of mechanisms. These historical developments helped move the field from simple curiosities to complex engineering tools.

Strandbeest walking with six legs
Strandbeest walking with six legs

Many different types of leg mechanisms have been protected by patents over the years. These designs range from simple rotating cranks to complex four-bar and six-bar linkages. For example, F. O. Norton patented an animated toy in 1892, and A. Gund patented an inverted slider-crank mechanism in 1915. In 1926, E. Dunshee patented a quadruped walking mechanism that uses a four-bar linkage. The coupler curve, which is the path traced by a point on a linkage, determines the foot trajectory. Other inventors, such as J. C. Klann, developed the Klann linkage in 2001. This design uses the coupler curve of a four-bar linkage to guide the lower link of an RR serial chain. The Klann linkage serves as the foundation for the Mondo Spider.

Ghassaei Beest walking with six legs
Ghassaei Beest walking with six legs

Modern leg mechanisms can be found in both scientific robotics and artistic installations. The artwork of Theo Jansen has been a major inspiration for many designers. His Strandbeest creations are famous examples of planar walking mechanisms. These can be built with different configurations, such as four-legged or six-legged versions. Other complex mechanisms include hexapods, which are robots with six legs. You can also find specialized designs like the Trotbot or the Strider Linkage. Whether they are used for heavy work or as moving art, these machines rely on the precise mathematics of linkages to move through the world.

TrotBot with 6 Legs Moving
TrotBot with 6 Legs Moving
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🖼️ Images & Media (13)
File:Strandbeest-Animation-rgb-100ms.gif
Strandbeest-Animation-rgb-100ms.gif
File:Strandbeest walking with four legs.gif
Strandbeest walking with four legs.gif
File:Strandbeest walking with six legs.gif
Strandbeest walking with six legs.gif
File:Ghassaei Beest Walking Paths traced.gif
Ghassaei Beest Walking Paths traced.gif
File:Ghassaei Beest walking with six legs.gif
Ghassaei Beest walking with six legs.gif
File:Klann Linkage Walking with four legs.gif
Klann Linkage Walking with four legs.gif
File:Klann Linkage six legs.gif
Klann Linkage six legs.gif
File:Klann Linkage Walking with four legs - alternative measures.gif
Klann Linkage Walking with four legs -...
File:Plantigrade walking 4 legs.gif
Plantigrade walking 4 legs.gif
File:Trotbot-Walking.gif
Trotbot-Walking.gif
File:TrotBot with 6 Legs Moving.gif
TrotBot with 6 Legs Moving.gif
File:Strider Linkage Robot.gif
Strider Linkage Robot.gif

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