Algorithmic software tool for analyzing the strength of building structures on parallel computers
Keywords:
математичне моделювання, будівельні конструкції, програмний комплекс ЛІРА, розріджені матриці «хмарочосної» структуриAbstract
The paper considers algorithmic and software tools for solving systems of linear algebraic equations with sparse matrices and approximate data on parallel computers of various architectures. This toolkit is used in the LIRA-cluster PC software, designed for calculation, research and design of structures from various subject areas. The peculiarities of sparse matrices of large orders, which arise during numerical modeling of the strength of building structures, and effective methods of their ordering are considered. An original algorithm for solving linear systems with sparse matrices is proposed, the use of which significantly reduces the computing resources of parallel computers. The results of the simulation of the static calculation of the stress-strain state of the two-tower business center are presented.
References
Kaplun A.B., Morozov E.M., Olfereva M.A. ANSYS v rukakh inzheniera: Prakticheskoie rukovodstvo. – M.: Edytoryal URSS, 2003. – 272 s.
Horodetskyi A.S., Evzerov Y.D. Kompiuternyie modeli konstruktsyi. – Kyev: FAKT, 2005. – 344 s.
Khimich O.M. Polianko V.V., Popov O.V., Rudych O.V. Rozviazuvannia zadach rozrakhunku mitsnosti konstruktsii na MIMD-kompiuteri // Shtuchnyi intelekt. – 2008. – № 3. – S. 750–760.
Baranov A.Iu., Slobodian Ya.E., Popov A.V., Khymych A.N. Matiematycheskoe modelirovanie prochnosti stroitelnykh konstruktsyi na hibridnykh vychislitelnykh sistiemakh // Probliemy upravlieniia i informatiki». – 2017, № 4. – S. 68–81.
O.M. Khimich, T.V. Cystjakova, V.A. Sidoruk, P.S. Ershov. Adaptive computer technologies for solving problems of computational and applied mathematics // Cybernetics and Systems Analysis. – 2021, Vol. 57, No 6, –P. 990–997.
Sydoruk V.A., Yershov P.S. Adaptyvnyi alhorytm rozviazannia system rivnian z blochno-khmarochosnymy matrytsiamy. // Problemy upravlinnia ta informatyky, 2022, № 5, S. 17–31.
