Problem of Eigen-Vibrations of a Rectangular Plate with Mixed Border Nonditions
S. D. Algazin1, I. A. Selivanov2
1Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
2Moscow State University, Moscow, 119991, Russia
Keywords: biharmonic equation, free vibrations of a plate, method Bubnova-Galerkina, computational experiment
Abstract
Natural vibrations of a rectangular plate with two pinched and two freely supported edges. The Bubnov method - Galerkin methods are used to obtain the first eigenvalues, and one of the test functions has its first eigenvalue calculated with an error smaller than 1%. Comparison with known results is carried out, with eigenforms given.
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