Loss of one degree of freedom in a three-dimensional, three-gimbal mechanism
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Gimbal lock is the loss of one degree of freedom in a multi-dimensional mechanism at certain alignments of the axes. In a three-dimensional three-gimbal mechanism, gimbal lock occurs when the axes of two of the gimbals are driven into a parallel configuration, "locking" the system into rotation in a degenerate two-dimensional space.
The term gimbal-lock can be misleading in the sense that none of the individual gimbals are actually restrained. All three gimbals can still rotate freely about their respective axes of suspension. Nevertheless, because of the parallel orientation of two of the gimbals' axes, there is no gimbal available to accommodate rotation about one axis, leaving the suspended object effectively locked (i.e. unable to rotate) around that axis.
The problem can be generalized to other contexts, where a coordinate system loses definition of one of its variables at certain values of the other variables.
three-dimensional three-gimbal mechanism, gimballock occurs when the axes of two of the gimbals are driven into a parallel configuration, "locking" the system into...
A gimbal is a pivoted support that permits rotation of an object about an axis. A set of three gimbals, one mounted on the other with orthogonal pivot...
defined (not the individual values). These ambiguities are known as gimballock in applications. There are six possibilities of choosing the rotation...
to avoid gimballock. Gimballock constrains maneuvering and it would be beneficial to eliminate the slip rings and bearings of the gimbals. Therefore...
sufficient. Two more recent patents summarize competing approaches. See also Gimballock. A cluster of CMGs can become saturated, in the sense that it is holding...
map to be a local homeomorphism at certain points is referred to as gimballock, and is demonstrated in the animation at the right – at some points (when...
commanded from the sensors. This design not only eliminates the problem of gimballock, but also makes it extremely accurate (drift less than 1.5×10−5 °/h)...
degenerate at some points on the hypersphere, leading to the problem of gimballock. We can avoid this by using four Euclidean coordinates w, x, y, z, with...
matrices. In addition, unlike Euler angles, they are not susceptible to "gimballock". For this reason, quaternions are used in computer graphics, computer...
like combining rotations are expensive to do, and suffer from a form of gimballock where the angles cannot be uniquely calculated for certain rotations...
problems for highly-maneuverable systems because of a phenomenon known as Gimballock. A rotation matrix, on the other hand, provides a full description of...
cases must be handled specially. The common name for this situation is gimballock. Code to handle the singularities is derived on this site: www.euclideanspace...
gyroscope). This does not avoid the complication of gimballock, and so a compromise between the number of gimbals and the angular freedom is needed. The center...
have removed this shortcoming. Another limitation is the problem of gimballock at zenith pointing. When tracking at elevations close to 90°, the azimuth...
In computer graphics, an Euler filter is a filter intended to prevent gimballock and related discontinuities in animation data sets in which rotation...
LM crew performed a sequence of rendezvous maneuvers that resulted in gimballock; the AGS was subsequently used to acquire attitude control. The AGS played...
exhibit mathematical singularity. Examples of mechanical singularities are gimballock and in static mechanical analysis, an under-constrained system. There...
of the orientation of a rigid body Gimballock – Loss of one degree of freedom in a three-dimensional, three-gimbal mechanism Hypersphere – Generalized...
The problem of singular alignment, the mathematical analog of physical gimballock, occurs when the middle rotation aligns the axes of the first and last...
the X5 and X5R require a separate adapter sold independently. The gimbals, unless locked, are stabilized with three individual motors, keeping footage steady...
folding Safety and accessibility in computer-aided architectural design Gimballock – similar traditional issue in mechanical engineering Kinodynamic planning...
each respective REFSMMAT was to avoid taking the spacecraft near the gimballock zone of its Inertial Measurement Unit during any expected spacecraft...