Metadata (abstracts and keywords) for the articles in the journal
P. S. Ivanov, V. I. Prokopiev The general solution for the Euler–Bernoulli equation of beam with variable cross-section using Fourier series // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2019. № 3(41). p. 44-50
Author(s):
P. S. Ivanov, V. I. Prokopiev
Index of UDK:
539.374
DOI:
10.26293/chgpu.2019.41.3.001
Title:
The general solution for the Euler–Bernoulli equation of beam with variable cross-section using Fourier series
Keywords:
pure bending, beam with variable cross-section, Fourier series, orthogonal polynomials, linear differential operator.
Abstracts:
A new method for solving of the Euler–Bernoulli equation of beam with variable crosssection using Fourier series is considered. A special scalar product is introduced taking into account the differential equation and boundary conditions, which allows to obtain a solution in the form of a Fourier series. The resulting series has good convergence and its retaining after differentiation.
The contact details of authors:
Ivanov Pavel Sergeevich e-mail: ar1on@mail.ru, postgraduate, lecturer, National Research Moscow State University of Civil Engineering, Moscow, Russia.
Valeriy Ivanovich Prokopiev e-mail: viprokopiev@mail.ru, Candidate of Engineering Sciences, Professor, National Research Moscow State University of Civil Engineering, Moscow, Russia.
Russian
English