| 受任意个同心环支圆板横振特性的传递矩阵法 |
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| 引用本文： | 周叮.受任意个同心环支圆板横振特性的传递矩阵法[J].强度与环境,1993(2):23-30. |
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| 作者姓名： | 周叮 |
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| 作者单位： | 华东工学院 南京 |
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| 摘 要： | 本文用传递矩阵法推导了各种边界条件下受任意个同心环支圆板(包括实心圆板和圆环板)横向振动频率方程的精确解析式,频率方程是以一系列二阶矩阵的乘积表示的,利用非线性代数方程搜根法数值求解固有频率,方法具有公式简单、分析统一以及计算量小和计算精度高的特点,本文最后给出了两个算例.
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| 关 键 词： | 圆板 环形板 动态特性 结构动力学 |
The Transfer Matrix Solution of Transverse Vibration of Circular Plates with Arbitrary Number of Concentric Ring Supports |
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| Zhou Ding.The Transfer Matrix Solution of Transverse Vibration of Circular Plates with Arbitrary Number of Concentric Ring Supports[J].Structure & Environment Engineering,1993(2):23-30. |
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| Authors: | Zhou Ding |
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| Institution: | East China Institute of Technology |
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| Abstract: | This paper deduces the analytical solution of transverse vibration of circular plates with arbitrary number of concentric ring supports at all kinds of boundary conditions by the use of transfer matrix method. The frequency equations are described by the multiplication of a series of two order matrices. The eigen -frequencies can be obtained by the searching root method of non-linear algebra equation. The method has some special advantages that the formulae are unified. easily programed, less the amount of calculation and good accuracy. Finally, two examples are given. |
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| Keywords: | Circular plate Annular plate Dynamic characteristic Structural dynamics |
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