混合边界矩形板的自由振动分析

应用一块板的一般解析解来求解混合边界矩形板的自由振动问题。一块板的一般解析解适用于求解任意边界条件矩形板的振动问题。混合边界矩形板的求解过程是将整块板分解为若干块板,每块板仅有均匀的边界,每两块相连的板边则具有连续性条件。利用全部边界条件和连续性条件即可求解各阶固有频率和振型。对几种具有简支边、平夹边或自由边混合边界的板做了计算,并与其它文献结果进行了对比。

FREE VIBRATION ANALYSIS OF RECTANGULAR PLATES WITH MIXED BOUNDARY CONDITIONS

Using a general analytical solution of a plate, the vibration problem of rectangular plates with mixed boundary conditions has been solved. The general analytical solution of a plate can be used to solve vibration problem of rectangular plates with arbitrary boundary conditions of all edges. The procedure for rectangular plates mixed boundary conditions is dividing the plate into several plates. For each plate there are only uniform edges. The connected edges between two plates, there are continuous conditions. To make use all of the boundary conditions and continuous conditions, it can be solved each natural frequencies and vibration modes. For some plates with mixed boundary conditions of simply supported, clamped or free edges have been calculated and compared the results with other references.