On plane rigid frames loaded perpendicularly to their plane

On a Rigid Body Subject to Point-Plane Constraints

This paper investigates the location of a rigid body such that N specified points of the body lie on N given planes in space. Variants of this problem arise in kinematics, metrology, and computer vision, including some, such as the motion of a spherical four-bar, that are not at first glance point-plane contact problems. The case N = 6, the minimum number to fully constrain the body, is of spec...

Generically globally rigid zeolites in the plane

A d-dimensional zeolite is a d-dimensional body-and-pin framework with a (d+1)-regular underlying graph G. That is, each body of the zeolite is incident with d+1 pins and each pin belongs to exactly two bodies. The corresponding d-dimensional combinatorial zeolite is a bar-and-joint framework whose graph is the line graph of G. We show that a two-dimensional combinatorial zeolite is generically...

Globally rigid frameworks and rigid tensegrity graphs in the plane

Single-Plane Auto-Balancing of Rigid Rotors

This paper presents an analytical study of single-plane automatic balancing of statically and dynamically unbalanced rigid rotors, considering also the effect of partial unbalance compensation and vibration reduction. We consider a rotor equipped with a selfbalancing device consisting of a circular track with moving balls to compensate for rotor unbalance. The investigations include an analysis...

Automatic two-plane balancing for rigid rotors

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