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A GENERAL ACCURATE ANALYTICAL TYPE SOLUTION FOR THE FREE VIBRATION OF RECTANGULAR PLATES RESTING ON CLASSICAL EDGE SUPPORTS BASED ON THE SUPERPOSITION METHOD: EXPERIMENTAL VERIFICATION

机译:基于叠加法的典型边缘支撑围绕矩形板自由振动的一般准确的分析型解决方案:实验验证

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The problem of obtaining free vibration frequencies and mode shapes of rectangular plates resting on combinations of classical i.e., clamped, simply supported, or free, edge supports is one that has been investigated for more than one hundred years. More recently, the superposition method has been developed for obtaining accurate analytical type solutions for this family of problems. A commercially available general computer program designated ANALDYNE-1 exploiting this analytical method has been developed. The object of this paper is to report on the results of numerous experimental tests carefully performed in order to verify the superposition method and associated computer software. Experimental and computed results are compared for a wide range of plate configurations. Very good agreement between theory and experiment has been obtained. It is concluded that this computational procedure constitutes a powerful new tool for analysis of rectangular plate vibration problems.
机译:获取矩形板的自由振动频率和模式形状的问题,依赖于经典的组合,夹紧,简单地支撑或自由,边缘支撑件是一百年的研究。最近,已经开发了叠加方法,用于为这家问题获得准确的分析类型解决方案。开发了一种商业上可获得的通用计算机程序,该分析方法已开发出这种分析方法。本文的目的是报告仔细执行众多实验测试的结果,以验证叠加方法和相关计算机软件。比较实验和计算的结果,以广泛的板配置。已经获得了理论和实验之间非常良好的一致性。结论是,该计算程序构成了一种强大的新工具,用于分析矩形板振动问题。

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