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Discrete singular convolution and its application to the analysis of plates with internal supports. II: Applications. (English) Zbl 1058.74644
Summary: Part II of this series of two papers [for part I see the preceding review Zbl 1058.74643)] presents the applications of the discrete singular convolution (DSC) algorithm. The main purpose is to explore the utility, to test the accuracy and examine the convergence of the proposed approach for vibration analysis of rectangular plates with internal supports. Both partial internal line supports and complex internal supports are considered for 21 square plates of various combinations of edge support conditions. The effects of different size, shape and topology of the internal supports and different boundary conditions on the vibration response of plates are investigated. The partial internal line supports may vary from a central point support to a full range of cross or diagonal line supports. Several closed-loop supports, such as ring, square and rhombus, and their combinations are studied for complex internal supports. Convergence and comparison studies are carried out to establish the correctness and accuracy of the DSC algorithm. The DSC results are compared with those in the available literature obtained by using other methods. Numerical results indicate that the DSC algorithm exhibits controllable accuracy for plate analysis and shows excellent flexibility in handling complex geometries, boundary conditions and support conditions.

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