Analysis of minimum zone sphericity error using minimum potential energy theory
Resource
Precision Engineering 23 (1999) 65–72
Journal
Precision Engineering
Journal Volume
23
Journal Issue
1999
Pages
-
Date Issued
1999
Date
1999
Author(s)
Fan, Kuang-Chao
Lee, Ji-Chun
DOI
20060927120053648122
Abstract
Theoretical derivation of the minimum zone criteria of sphericity error based on the principle of minimum potential energy is proposed.
All the measured data points are enclosed by two concentric spherical surfaces between which a fictitious spring is assumed to be placed.
These two concentric spherical surfaces can be mathematically determined by five active data points. When the spring contracts, the
potential energy of the simulated mechanical system tends to reduce which yields two new concentric spheres with smaller radial separation
and new active data points. Finally, a stable state will be reached to the condition of minimum potential energy. The criteria conforming
to such a state can be derived. A direct search scheme to the global minimum solution is also proposed. The clearance between such two
concentric spherical surfaces is the minimum zone of spherical form error.
Subjects
Sphericity error
Minimum zone method
Potential energy
Virtual work
Static equilibrium
Publisher
臺北市:國立臺灣大學機械工程學系
Type
journal article
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