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Implementing multiple boundary conditions in the DQ solution of higher-order PDE’s: Application to free vibration of plates. (English) Zbl 0865.73079
Summary: In the context of the free vibration problem of rectangular plates, this paper develops a detailed methodology for implementing multiple boundary conditions in the differential quadrature solutions of higher-order differential equations. It is explained that a certain type of boundary conditions can be built into the differential quadrature weighting coefficients themselves. This simplifies the programming of the differential quadrature solution algorithms. More importantly, however, as shown by the results on fundamental frequencies of a wide spectrum of rectangular plate configurations, the methodology results in strikingly accurate differential quadrature solutions.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74H45 Vibrations in dynamical problems in solid mechanics
74K20 Plates
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