Degree of Freedom
This definition page has been automatically generated. You can help ExoDictionary by expanding, updating, or correcting it. |
This autostub has not yet had its initial copyediting proof and may contain significant formatting and even factual errors. You can improve Exodictionary by cleaning up the page markup and verifying that the definition is correct and then removing this tag. |
This autostub has not yet had its initial categorization proof and may be categorized incorrectly. You can improve Exodictionary by removing inappropriate categories and then removing this tag. |
Degree of Freedom
</dt>
1. A mode of motion, either angular or linear, with respect to a coordinate
system, independent of any other mode.
</dd>
A body in motion has six possible degrees of freedom, three linear and
three angular.
</dd>
2. Specifically, of a gyro the number of orthogonal
axes about which the spin axis is free to rotate.
</dd>
3. In an unconstrained dynamic or other system, the number of independent
variables required to specify completely the state of the system at a given
moment.
</dd>
If the system has constraints, i.e., kinematic or geometric relations
between the variables, each such relation reduces by one the number of degrees
of freedom of the system. In a continuous medium with given boundary
conditions, the number of degrees of freedom is the number of normal modes of
oscillation.
</dd>
4. Of a mechanical system, the minimum number of independent generalized
coordinates
required to define completely the positions of all parts of the system at any
instant of time.
</dd>
In general, the number of degrees of freedom equals the number of
independent generalized displacements that are possible.
</dd>
References
This article is based on NASA's Dictionary of Technical Terms for Aerospace Use