Анализ и оптимизация устойчивости балок на сплошном упругом основании часть I (балки конечной длины) [Analysis and optimization of a beam on elastic foundation. Part I (Limited beams)]
Banichuk, N., Barsuk, A.A., Ivanova, S. Û., Makeev, E. V., Neittaanmäki, P., & Tuovinen, T. (2017). Анализ и оптимизация устойчивости балок на сплошном упругом основании часть I (балки конечной длины) [Analysis and optimization of a beam on elastic foundation. Part I (Limited beams)]. Institut problem mehaniki RAN. Institut problem mehaniki, Preprint, 1144.
Published in
Institut problem mehaniki, PreprintAuthors
Date
2017Copyright
© Институт проблем механики РАН 2017.
Problems of defining the optimal (against buckling) cross section area
distribution for beams interacting with elastic foundation are considered. The
stability of limited pinned beams and infinite continuous beams is analyzed. For
all beams under consideration, the stability analysis is performed as for constant
as for variable distributions of strength beam characteristics. The critical length
is determined and the variational statement of beam stability problems is
presented for this beam type.
The exact solution of optimal problem is presented in the case of linear
dependence of limited beam bending hardness on beam cross section area. For
the case of squared and cubic dependences, the numerical solutions are presented
and discussed. Исследуются задачи определения оптимальных по критерию
устойчивости распределений площадей поперечных сечений балок,
расположенных на упругом основании. Анализируются задачи
устойчивости ограниченных балок с шарнирным опиранием концов и
бесконечных балок. Для обоих типов балок проводится анализ
устойчивости как для балок с постоянными, так и для балок с
переменными жесткостными характеристиками. Приводится определение
критической длины балки и вариационная формулировка задач
устойчивости для этого типа балок.
Для случая линейной зависимости изгибной жесткости от площади
поперечного сечения балки приводится точное решение задачи
оптимизации. Для случаев квадратичной и кубической зависимостей
излагаются процедуры численного решения задачи оптимизации, а
результаты расчетов представляются в графической форме.
Publisher
Institut problem mehaniki RANParent publication ISBN
978-5-91741-196-5Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/27050439
Metadata
Show full item recordCollections
License
Related items
Showing items with similar title or keywords.
-
Анализ и оптимизация устойчивости балок на сплошном упругом основании часть II (бесконечные балки) [Analysis and optimization of a beam on elastic foundation. Part II (Infinite beams)]
Banichuk, Nikolay; Barsuk, A. A.; Ivanova, S. Û.; Makeev, E. V.; Neittaanmäki, Pekka; Tuovinen, Tero (Institut problem mehaniki RAN, 2017)Problems of defining of optimal (against buckling) cross section area distribution for beams interacting with elastic foundation are considered. The stability of limited pinned beams and infinite continuous beams is ... -
International Conference for Mathematical Modeling and Optimization in Mechanics : book of abstracts : University of Jyväskylä, March 6-7, 2014
International Conference for Mathematical Modeling and Optimization in Mechanics (University of Jyväskylä, 2014) -
Towards Better Integration of Surrogate Models and Optimizers
Chugh, Tinkle; Rahat, Alma; Volz, Vanessa; Zaefferer, Martin (Springer, 2020)Surrogate-Assisted Evolutionary Algorithms (SAEAs) have been proven to be very effective in solving (synthetic and real-world) computationally expensive optimization problems with a limited number of function evaluations. ... -
Surrogate-Assisted Evolutionary Optimization of Large Problems
Chugh, Tinkle; Sun, Chaoli; Wang, Handing; Jin, Yaochu (Springer, 2020)This chapter presents some recent advances in surrogate-assisted evolutionary optimization of large problems. By large problems, we mean either the number of decision variables is large, or the number of objectives is ... -
Modeling the mechanical behavior of carbon nanostructures
Korhonen, Topi (University of Jyväskylä, 2016)Low-dimensional nanostructures are expected to have vast number of applications in the future. Particularly large amount of research has been invested in the atomthick carbon membrane called graphene, which has become ...