A Derivation of a Minimal Set of Multilinear Loop Equations for Spatial MechanismsSource: Journal of Manufacturing Science and Engineering:;1976:;volume( 098 ):;issue: 004::page 1301Author:P. D. Potts
DOI: 10.1115/1.3439104Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The relationship between skew-symmetric and rotation matrices due to Cayley is associated with the quaternion representation of finite rotations. Novel rotation parameters yield three real (dual) equations of simple form for spherical (spatial) polygons which are multilinear in half-tangents. This new form of the equations implies that all mechanisms (with the exception of geared linkages) are multilinear systems. Solution strategies for these equations are discussed for simple spatial structures.
keyword(s): Equations , Mechanisms , Rotation AND Linkages ,
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| contributor author | P. D. Potts | |
| date accessioned | 2017-05-08T23:01:14Z | |
| date available | 2017-05-08T23:01:14Z | |
| date copyright | November, 1976 | |
| date issued | 1976 | |
| identifier issn | 1087-1357 | |
| identifier other | JMSEFK-27650#1301_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88954 | |
| description abstract | The relationship between skew-symmetric and rotation matrices due to Cayley is associated with the quaternion representation of finite rotations. Novel rotation parameters yield three real (dual) equations of simple form for spherical (spatial) polygons which are multilinear in half-tangents. This new form of the equations implies that all mechanisms (with the exception of geared linkages) are multilinear systems. Solution strategies for these equations are discussed for simple spatial structures. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Derivation of a Minimal Set of Multilinear Loop Equations for Spatial Mechanisms | |
| type | Journal Paper | |
| journal volume | 98 | |
| journal issue | 4 | |
| journal title | Journal of Manufacturing Science and Engineering | |
| identifier doi | 10.1115/1.3439104 | |
| journal fristpage | 1301 | |
| journal lastpage | 1305 | |
| identifier eissn | 1528-8935 | |
| keywords | Equations | |
| keywords | Mechanisms | |
| keywords | Rotation AND Linkages | |
| tree | Journal of Manufacturing Science and Engineering:;1976:;volume( 098 ):;issue: 004 | |
| contenttype | Fulltext |