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  • 标题:Dynamics of a Circular Mindlin Plate under Mechanical Loading and Elevated Temperature
  • 本地全文:下载
  • 作者:Anna Warminska ; Anna Warminska ; Emil Manoach
  • 期刊名称:MATEC Web of Conferences
  • 电子版ISSN:2261-236X
  • 出版年度:2016
  • 卷号:83
  • 页码:1-3
  • DOI:10.1051/matecconf/20168305013
  • 语种:English
  • 出版社:EDP Sciences
  • 摘要:Dynamics of a nonlinear circular Midlin plate is studied in the paper. The mathematical model represented by partial differential equations includes nonlinear geometrical terms resulted from large displacements. The plate is subjected to mechanical and thermal loadings. The dynamics of a coupled thermo-mechanical problem is reduced from partial to ordinary differential equations. Considering the first mode reduction and uniformly distributed temperature just a single nonlinear differential equation is obtained. The bifurcation analysis shows that elevated temperature shifts the rezonanse curve and new solutions arise. Depending on initial conditions this may lead to buckling phenomenon and then relatively small oscillations around this state, symmetric periodic oscillations of large amplitude, or irregular oscillations.
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