Open AccessCalculation of a variable cross-section beam on an elastic foundation with two coefficients of compliance
Author(s) -
Aleksandr Poliakov,
Petro Shtanko,
Vladimir Pakhaliuk
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1353/1/012110
Subject(s) - piecewise , beam (structure) , stiffness , foundation (evidence) , cross section (physics) , mathematics , power (physics) , piecewise linear function , section (typography) , variable (mathematics) , mathematical analysis , structural engineering , physics , computer science , law , engineering , thermodynamics , quantum mechanics , political science , operating system
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.