Question
Download Solution PDFIf the number of degrees of freedom of a mechanism is reduced to ______ then it can be called as a structure.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Kutzbach criterion for finding the movability of a mechanism having plane motion:
F = 3 (l – 1) – 2 j – h
l = Number of links, j = Number of binary joints, h = Number of higher pair
In case of a mechanism possessing some redundant degree of freedom, the effective degree of freedom is given by:
F = 3 (l – 1) – 2 j – h - Fr
where Fr is the number of redundant degrees of freedom.
Degree of freedom of mechanism:
- F = 0, the mechanism forms a structure and no relative motion between the links is possible.
- F = 1, the mechanism can be driven by a single input motion.
- F = 2, two separate input motions are necessary to produce constrained motion for the mechanism.
- F = -1 or less, then there are redundant constraints in the chain and it forms a statically indeterminate structure.
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