Solutions to the Vector Tetrahedron EquationSource: Journal of Manufacturing Science and Engineering:;1965:;volume( 087 ):;issue: 002::page 228Author:Milton A. Chace
DOI: 10.1115/1.3670802Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A set of nine closed-form solutions are presented to the single, three-dimensional vector tetrahedron equation, sum of vectors equals zero. The set represents all possible combinations of unknown spherical coordinates among the vectors, assuming the coordinates are functionally independent. Optimum use is made of symmetry. The solutions are interpretable and can be evaluated reliably by digital computer in milliseconds. They have been successfully applied to position determination of many three-dimensional mechanisms.
keyword(s): Equations , Mechanisms AND Computers ,
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| contributor author | Milton A. Chace | |
| date accessioned | 2017-05-08T23:36:48Z | |
| date available | 2017-05-08T23:36:48Z | |
| date copyright | May, 1965 | |
| date issued | 1965 | |
| identifier issn | 1087-1357 | |
| identifier other | JMSEFK-27490#228_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/109291 | |
| description abstract | A set of nine closed-form solutions are presented to the single, three-dimensional vector tetrahedron equation, sum of vectors equals zero. The set represents all possible combinations of unknown spherical coordinates among the vectors, assuming the coordinates are functionally independent. Optimum use is made of symmetry. The solutions are interpretable and can be evaluated reliably by digital computer in milliseconds. They have been successfully applied to position determination of many three-dimensional mechanisms. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Solutions to the Vector Tetrahedron Equation | |
| type | Journal Paper | |
| journal volume | 87 | |
| journal issue | 2 | |
| journal title | Journal of Manufacturing Science and Engineering | |
| identifier doi | 10.1115/1.3670802 | |
| journal fristpage | 228 | |
| journal lastpage | 234 | |
| identifier eissn | 1528-8935 | |
| keywords | Equations | |
| keywords | Mechanisms AND Computers | |
| tree | Journal of Manufacturing Science and Engineering:;1965:;volume( 087 ):;issue: 002 | |
| contenttype | Fulltext |