Inverse Bifurcation Problem as a Tool For Rapid Identification of Progressive Collapse for Thin-Walled Systems
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Дата
2016
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
Notwithstanding recent advances in robust design, the problem of vulnerability of structures is still open. On
the one hand, this leads to various structure collapses; on the other hand, this prompts researchers to develop
models and methods to identify a state o f progressive collapse and estimate lifetime and residual functionality
of perturbed structure. An inverse bifurcation problem implies that one identifies a pre-bifurcation state of a
perturbed thin-walled system. The topological precursor (a tool to solve an inverse bifurcation problem) used
is based on typical sequences o f deformed states extracted from clustered post-critical solutions o f non-linear
boundary problem o f thin-walled systems theory. It implies that complete bifurcation structure o f the non-linear
boundary problem (including primary, secondary and tertiary bifurcation paths) are constructed. The proposed
approach was employed to identify a pre-bifurcation state of a cylindrical shell under uniform pressure (close
to the critical) subjected to a pulse impact.
Опис
Ключові слова
direct and inverse bifurcation problems, non-linear boundary problems, non-linear partial differential equations, von Karman equation
Бібліографічний опис
Obodan N. I. Inverse Bifurcation Problem as a Tool For Rapid Identification of Progressive Collapse for Thin-Walled Systems / N. I. Obodan, V. Ya. Adlutskii, V. A. Gromov // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 356-361.