Calculation of a variable cross-section beam on an elastic foundation with two coefficients of compliance

In this paper, the universal Kurdyumov-Kochanov method with approximation of the solution by a power function is used to calculate a beam of variable cross section located on an elastic foundation, characterized by two coefficients of compliance (bed coefficients). It is shown that this method is ch...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1353; no. 1; pp. 12110 - 12117
Main Authors Poliakov, A M, Shtanko, P K, Pakhaliuk, V I
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2019
Subjects
Approximation
Coefficients
Cross-sections
Elastic foundations
Mathematical analysis
Modulus of elasticity
Physics
Stiffness
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Summary:In this paper, the universal Kurdyumov-Kochanov method with approximation of the solution by a power function is used to calculate a beam of variable cross section located on an elastic foundation, characterized by two coefficients of compliance (bed coefficients). It is shown that this method is characterized by simplicity and efficiency in the study of beams not only with continuous, but also with piecewise-continuous laws of change in the dimensions of sections and external load. In addition, it can also be used to analyze the behavior of beams with discrete laws for changing the stiffness of an elastic base and loads acting on local sections of the beam. The effectiveness of the implementation of the method is confirmed by a number of test cases.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1353/1/012110