Journal
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 59, Issue 1, Pages 59-95Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/bull/1721
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Funding
- Austrian Science Fund (FWF) [P31061]
- Austrian Science Fund (FWF) [P31061] Funding Source: Austrian Science Fund (FWF)
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This paper investigates the configurations of mechanical linkages and provides mathematical explanations for unexpected mobility in some cases.
The possible configurations of a mechanical linkage correspond to the solutions of a system of algebraic equations. We can estimate the dimension of the solution set by counting free parameters and equational constraints. But this estimate does not always give the correct answer: sometimes the linkage moves although it should not. In this paper, we give mathematical explanations for this unexpected mobility.
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