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Title of Journal: Strength Mater

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Abbravation: Strength of Materials

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Springer US

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DOI

10.1016/j.apm.2009.08.005

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ISSN

1573-9325

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Determination of curve characteristics by its disc

Authors: I V Orynyak I V Lokhman A V Bogdan
Publish Date: 2012/07/28
Volume: 44, Issue: 3, Pages: 268-284
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Abstract

The problem of reconstruction of a continuous spatial line of a pipeline by the discrete points measured with some error is solved For the problem solution a noniteration numerical algorithm is proposed according to which each measured point of the pipeline is treated as a compliant support The algorithm is based on the method of initial parameters and accounts for the concept of “an incompatibility angle” between two adjoining measured sections of a pipeline axis Using methods of the probability theory the analysis is performed which allows one to assess the accuracy of the reconstructed position of a pipeline and obtained stress values Accuracy of calculations executed by means of the developed algorithm has been verified using the results obtained by analytical methods


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