The solution of the plane problem of the theory of elasticity by the boundary elements method
| Autor: | Yurii Krutii, Anatolii Kovrov, Mykola Surianinov, Vladimir Osadchiy |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
lcsh:GE1-350
Mathematical analysis 02 engineering and technology 01 natural sciences Finite element method 010305 fluids & plasmas 020303 mechanical engineering & transports 0203 mechanical engineering 0103 physical sciences Biharmonic equation Orthonormal basis Boundary value problem Elasticity (economics) Boundary element method lcsh:Environmental sciences Mathematics |
| Zdroj: | E3S Web of Conferences, Vol 211, p 02021 (2020) |
| ISSN: | 2267-1242 |
| Popis: | An approach to solving the biharmonic equation of the plane problem of the theory of elasticity by the numerical-analytical method of boundary elements is developed. The reduction of the two-dimensional problem to the one-dimensional one was carried out by the KantorovichVlasov method. Systems of fundamental orthonormal functions and the Green function are constructed without any restrictions on the nature of the boundary conditions. A numerical example of solving a plane problem by the boundary element method for a rectangular plate is considered. The results are compared with the data of finite element analysis in the ANSYS program and those obtained by A.V. Aleksandrov. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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