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VIBRATION LOCALIZATION IN PLATES WITH MISPLACED INTERMEDIATE SUPPORTS IN TWO ORTHOGONAL DIRECTIONS

机译:具有两个正交方向错位中间支撑的板中的振动定位

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This paper investigates the effect of small misplacements on both the free vibration modes and forced vibration responses of a four-panel simply supported plate with two intermediate simple supports in two orthogonal directions. Kantorovich's method is employed to obtain the natural frequencies and the correspond-ing vibration modes. Galerkin's method is applied to determine the forced vibration response of the four-panel plate subjected to a harmonic concentrated load at the center of one of its four panels. Comparisons between numerical results obtained using the current approach and those using the exact solution and the finite element method are made to demonstrate the accuracy of the current approach. It is found that the small misplacements of the intermediate supports have dramatic effects on the vibration response of the plate. The larger the misplacement of the interme-diate supports, the larger the degree of vibration localization. By judiciously introducing misplacements in the intermediate sim-ple supports, the vibration of some of the four panels may be controlled.
机译:本文研究了小错位对具有两个正交方向上的两个中间简单支撑的四面板简单支撑板的自由振动模式和强迫振动响应的影响。用Kantorovich方法获得固有频率和相应的振动模式。 Galerkin方法用于确定四面板板在其四个面板之一的中央受到谐波集中载荷的强制振动响应。比较了使用当前方法获得的数值结果与使用精确解和有限元方法获得的数值结果,以证明当前方法的准确性。发现中间支撑件的小错位对板的振动响应具有显着影响。中间支撑件的错位越大,振动定位的程度越大。通过明智地在简单的中间支架中引入错位,可以控制四个面板中某些面板的振动。

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