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Determination of curve characteristics by its discrete points measured with an error and its application to stress analysis for buried pipeline

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Strength of Materials Aims and scope

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 non-iteration 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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Authors and Affiliations

  1. Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine

    I. V. Orynyak & A. V. Bogdan

  2. PC “Ukrtransgaz”, Kiev, Ukraine

    I. V. Lokhman & A. V. Bogdan

Authors
  1. I. V. Orynyak
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  2. I. V. Lokhman
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  3. A. V. Bogdan
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Translated from Problemy Prochnosti, No. 3, pp. 62 – 83, May – June, 2012.

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Orynyak, I.V., Lokhman, I.V. & Bogdan, A.V. Determination of curve characteristics by its discrete points measured with an error and its application to stress analysis for buried pipeline. Strength Mater 44, 268–284 (2012). https://doi.org/10.1007/s11223-012-9380-7

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  • DOI: https://doi.org/10.1007/s11223-012-9380-7

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