Abstract
This paper represents an attempt at the application of catastrophe theory to the dynamic stability of engineering structures. The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability.
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References
Poston, T.,Catastrophe Theory and Its Applications, Pitman (1978).
Ling Fu-hua, Catastrophe theory-history, current situation and future,Advances in Mechanics,14, 4 (1984). (in Chinese)
Liu Shi-da and Liu Shi-kuo, A model of bifurcation and catastrophe of the convection in atmosphere,Acta Mechanica Sinica,16 (1984), 10–18. (in Chinese)
Miao Tian-de and Ai Nan-shan, A model of catastrophe theory for the landslide evolution,J. Lanzhou University (Natural Sciences),24, 4 (1988). (in Chinese)
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Communicated by Yang Gui-tong
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Mao-shan, S., De-min, W. A catastrophic model for vibrational buckling of elastic arches. Appl Math Mech 11, 1171–1174 (1990). https://doi.org/10.1007/BF02016620
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DOI: https://doi.org/10.1007/BF02016620