Abstract
On the basis of the Kármán-Donnell theory of thin shells with large deflections and the Boltzmann laws for linear viscoelastic materials, the mathematical model for viscoelastic open shallow shells was formulated. By using the Galerkin average method, the original integro-partial-differential dynamic system was simplified as a integro-ordinary-differential dynamic system, which can be transformed into a ordinary differential dynamic system by introducing new variables. The dynamical behavior was studied by some classical methods. Dynamical properties, such as, chaos, strange attractor, limit cycle etc., were discovered.
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Supported by the Development Foundation of Shanghai Municipal Commission of Education (99A01)
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Zhang, Nh., Cheng, Cj. Dynamic properties of viscoelastic open shallow shells. J. of Shanghai Univ. 4, 279–283 (2000). https://doi.org/10.1007/s11741-000-0041-x
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DOI: https://doi.org/10.1007/s11741-000-0041-x