Obodan, Natalia I.Adlutskii, Victor Ya.Gromov, Vasilii A.2016-11-182016-11-182016Obodan 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.https://repository.kpi.kharkov.ua/handle/KhPI-Press/24725Notwithstanding 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.endirect and inverse bifurcation problemsnon-linear boundary problemsnon-linear partial differential equationsvon Karman equationArticle