Узагальнена проблема на власні значення в задачах контактної взаємодії з урахуванням зношування матеріалу
Solving of the problem of contact interaction of stiff punch with elastic half-plane with taking intoaccount the material wear has been reduced to a generalized problem for eigenvalue andcorresponding vectors. The peculiarities of the application of the main methods for findingapproximate eigenvalue...
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| Date: | 2019 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/106 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | Solving of the problem of contact interaction of stiff punch with elastic half-plane with taking intoaccount the material wear has been reduced to a generalized problem for eigenvalue andcorresponding vectors. The peculiarities of the application of the main methods for findingapproximate eigenvalues and vectors for various input matrices and matrices with variabledimensions are investigated. An algorithm for computing and software modules to implement themathematical models of the contact problems with deterioration using special functions and toolsof result visualization are constructed. An optimal number of eigenvalues for high-quality displayof graphs of contact pressure for different canonical forms of the punch is determined. Theanalysis of modern applications, which can be reduced to solving a generalized problem foreigenvalues (models for optimization and risk management in the networks transformation energy,models for linear baroclinic instability in the Earth’ oceans) is carried out. |
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