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Journal of Mathematical Sciences

, Volume 187, Issue 6, pp 699–707 | Cite as

Determination of the stressed state of rectangular anisotropic plates in the space statement

  • A. Ya. Grigorenko
  • A. S. Bergulev
Article

We consider the problem of the stress-strain state of rectangular anisotropic plates in the space statement for one plane of elastic symmetry. The initial problem is described by a system of three partial differential equations of the second order. After separating variables and by using the spline-collocation method in two coordinate directions, we reduce the problem to a system of ordinary differential equations of high order with boundary conditions on edges. The obtained boundary-value problem is solved by the stable discrete-orthogonalization method. Results for the cases of rigid attachment and hinged support and for different geometries of plates are presented.

Keywords

English Translation Elastic Symmetry Anisotropic Body Orthotropic Body Hinge Support 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • A. Ya. Grigorenko
    • 1
  • A. S. Bergulev
    • 1
  1. 1.Timoshenko Institute of MechanicsUkrainian National Academy of Science of UkraineKievUkraine

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