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On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference. (English) Zbl 0733.73042

Summary: The stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite-Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic equations. The truncation of the algebraic system is justified.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K20 Plates
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
35A22 Transform methods (e.g., integral transforms) applied to PDEs
45E05 Integral equations with kernels of Cauchy type
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