Use of Fourier Integral Transform in Calculation of Structures
https://doi.org/10.30932/1992-3252-2016-14-3-4
Abstract
This paper presents a method to obtain a system of linear equations describing a final element in the frame structure. In solution process integral Fourier transform and generalized functions are used. The boundary conditions at the ends of the finite element are determined by the theorem of Paley–Wiener-Schwartz. Application of the method for calculation of beam, cable-stayed bridges and extradosed bridges allows to set all kinds of loads without replacing them with any equivalent.
About the Author
A. P. KosaurovRussian Federation
Kosaurov, Artem P. – Ph.D. student at the department of Bridges and tunnels
Moscow
References
1. Carroll, W . F . A primer for finite elements in elastic structures / Carroll W . F . Weaver & Johnston, 1998, 512 p .
2. Dean, G . D . Advanced Engineering Mathematics / CRC Press,1997, 656 p .
3. Osgood, B . The Fourier Transform and its Applications / Stanford University, 2009, 428 p .
4. Vladimirov, V . S . Generalized functions in mathematical physics [Obobshhennye funkcii v matematicheskoj fizike] . Moscow, 1979, 320 p .
5. Kurbatsky, E . N . Method of solving problems of structural mechanics and theory of elasticity based on features of Fourier image of finite functions [Metod reshenija zadach stroitel’noj mehaniki i teorii uprugosti, osnovannyj na svojstvah izobrazhenij Fur’e finitnyh funkcij] . D .Sc . (Eng .) thesis . Moscow, 1995, 205 p .
6. Lazaryan, V . A ., Konashenko, S . I . Generalized functions in mechanical problems [Obobshhennye funkcii v zadachah mehaniki] . Kiev, Naukova Dumka publ ., 1974, 189 p .
7. Timoshenko, S . P . The strength and vibrations of structural elements [Prochnost’ i kolebanija elementov konstrukcij] . Moscow, Nauka publ ., 1975, 704 p .
8.
Review
For citations:
Kosaurov A.P. Use of Fourier Integral Transform in Calculation of Structures. World of Transport and Transportation. 2016;14(3):50-58. https://doi.org/10.30932/1992-3252-2016-14-3-4