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pro vyhledávání: '"Thompson, J. Michael T."'
Dynamic buckling is addressed for complete elastic spherical shells subject to a rapidly applied step in external pressure. Insights from the perspective of nonlinear dynamics reveal essential mathematical features of the buckling phenomena. To captu
Externí odkaz:
http://arxiv.org/abs/1812.06526
This paper addresses testing of compressed structures, such as shells, that exhibit catastrophic buckling and notorious imperfection sensitivity. The central concept is the probing of a loaded structural specimen by a controlled lateral displacement
Externí odkaz:
http://arxiv.org/abs/1712.04697
Autor:
Thompson, J. Michael T., Sieber, Jan
Under increasing compression, an unbuckled shell is in a metastable state which becomes increasingly precarious as the buckling load is approached. So to induce premature buckling a lateral disturbance will have to overcome a decreasing energy barrie
Externí odkaz:
http://arxiv.org/abs/1509.06803
Autor:
Thompson, J. Michael T.
In a recent feature article in this journal, co-authored by Gert van der Heijden, I described the static-dynamic analogy and its role in understanding the localized post-buckling of shell-like structures, looking exclusively at integrable systems. We
Externí odkaz:
http://arxiv.org/abs/1409.3156
Autor:
Thompson, J. Michael T., Sieber, Jan
Publikováno v:
International Journal of Mechanical Sciences 91, pp 91-98, 2015, Elsevier
For an elastic system that is non-conservative but autonomous, subjected for example to time-independent loading by a steadily flowing fluid (air or water), a dangerous bifurcation, such as a sub-critical bifurcation, or a cyclic fold, will trigger a
Externí odkaz:
http://arxiv.org/abs/1401.2353
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2019 Mar 01. 475(2223), 1-22.
Externí odkaz:
https://www.jstor.org/stable/26645707
Autor:
Sieber, Jan, Thompson, J. Michael T.
Publikováno v:
Phil. Trans. R. Soc. A 2012 370 1205-1227
Approaching a dangerous bifurcation, from which a dynamical system such as the Earth's climate will jump (tip) to a different state, the current stable state lies within a shrinking basin of attraction. Persistence of the state becomes increasingly p
Externí odkaz:
http://arxiv.org/abs/1103.3064
Publikováno v:
In International Journal of Solids and Structures September 2018 148-149:157-168
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2017 May . 375(2093), 1-19.
Externí odkaz:
https://www.jstor.org/stable/44678432
Autor:
Thompson, J. Michael T., Sieber, Jan
Publikováno v:
In International Journal of Mechanical Sciences February 2015 91:91-98