Abstract:
A new method is presented to describe and analyze the spatial
compliance of coiled springs using screw theory. After an
abbreviated description for the deformation of a beam element
using screw theory, the spatial compliance density for a beam
element is derived based on the fundamental material theory and
reasonable assumptions, and the spatial compliance of the beam
with finite length is obtained by integral. The spatial
compliance of coiled springs is further analyzed using the
spatial compliance density of the beam element. By calculating
the eigencompliance and Ball’s principle screws for the whole
compliance of system, the compliance properties varying with the
basic physical parameters of the system are illustrated in
detail. The basic ideas can be used for the design and
application of the coiled springs and the other compliant
mechanisms with spatial compliant beam element.
Key words:
Eigencompliance Coiled springs Screw theory Mechanisms
* This project is supported by National Natural Science Foundation of China (No.50075009) and SRF for ROCS, SEM. Received December 26, 2001; received in revised form June 25, 2002; accepted August 12, 2002
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