Using Invariant Functions and Unified least-Squares Approach in a Homogeneous Strain Analysis
Date Issued
2010
Date
2010
Author(s)
Lin, Shiang-Ling
Abstract
The main objective of deformation analysis is to determine relative motions between points through observing the variation of coordinates of these points. However, a rigid-body motion and a passive motion caused by reference frame variations may also result in coordinate changes. Therefore, a key issue of defoemation analysis is to find the correct deformation results by eliminating those unrelated displacement signals. Firstly, the invariant function approach was tested on its feasibilities for deformation analysis under the effects of rigid-body motion and passive motion by using numerical examples. After that, in order to apply invariant function on the deformation analysis of real objects, we constructed the suitable constraint equations by considering the effect of deformation parameter estimations of external information. Finally, we designed a rigorous method to reduce estimation biases for improving the quality and reliability of deformation analysis task.
Subjects
Deformation Analysis
Rigid-body Motion
Passive Motion
Reference Frame Variation
Invariant Function
Type
thesis
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