Data-Conditioning in the Optimization of Function-Generating Linkages
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Abstract Rank-deficiencies and ill-conditioning of the synthesis matrix in the optimization of function-generating linkages are often caused by an improper selection of the input-output data points given by the {ψi,ϕi}1m pairs, where ψ and ϕ denote the input and output values, respectively. Ten basic cases of rank-deficiencies in the synthesis matrix are discussed in this paper, the associated curves, termed singularity curves, being plotted in the ψ-ϕ plane. Measures to remedy the ill-conditioning that arises in the optimization procedure and means to find the best-conditioned synthesis matrices by minimizing their condition number are also proposed.
2000 ◽
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2003 ◽
Vol 7
(3)
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pp. 268-275
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2019 ◽
Vol 2
(1)
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pp. 12-19
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2020 ◽
Vol 85
(777)
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pp. 859-869
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2020 ◽
Vol 1549
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pp. 052124
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