Abstract
The configuration spaces of arachnoid mechanisms are analyzed in this paper. These mechanisms consist of k branches each of which has an arbitrary number of links and a fixed initial point, while all branches end at one common end-point. It is shown that generically, the configuration spaces of such mechanisms are manifolds, and the conditions for the exceptional cases are determined. The configuration space of planar arachnoid mechanisms having k branches, each with two links is analyzed for both the non-singular and the singular cases.
Original language | English |
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Pages (from-to) | 1033-1042 |
Number of pages | 10 |
Journal | Forum Mathematicum |
Volume | 17 |
Issue number | 6 |
DOIs | |
State | Published - 18 Nov 2005 |
Externally published | Yes |