MAPPING ANALYSIS OF VIBRATION FUNDAMENTAL FREQUENCY IN ELASTIC CLAMPED PLATES

机译：弹性夹板中振动基本频率的映射分析

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Aimed at calculating the vibrating fundamental frequency in elastic-clamped plates, with the help of Conformal Mapping theory, the trigonometric interpolation method based on interpolation coordinate value of boundary region is provided. Conformal Mapping function between complicating region of vibrating elastic-clamped plates and the unit dish region is analyzed numerically. Meanwhile, by utilizing Galerkin method, the analysis of vibrating partial differential and fundamental frequency in the elastic-clamped plates is carried out. Then taking ellipse elastic-clamped plates as an example, its fundamental frequency gets analysis.

机译：针对弹性夹板振动基本频率的计算，借助保角映射理论，提出了一种基于边界区域插值坐标值的三角插值方法。数值分析了振动弹性夹板复杂区域与单位碟形区域之间的共形映射函数。同时，利用伽勒金方法，对弹性夹板的振动偏微分和基频进行了分析。然后以椭圆弹性夹板为例，对其基本频率进行分析。

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来源
《International Conference on Frontiers of Design and Manufacturing(ICFDM'2006) vol.2; 20060619-22; Guangzhou(CN)》|2006年|P.89-92|共4页
会议地点 Guangzhou(CN)
作者
Zhu Hongying; Qi Hongyuan; Zhu Hengjun; Yang Jiangtian;
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作者单位

School of Mechanical and Electric Control Engineering, Beijing Jiaotong University, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械制造工艺;
关键词
conformal mapping; fundamental frequency; vibration; mode; elastic clamped plate;

机译：保角映射;基本频率;振动;模式;弹性夹板;

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2. Mapping analysis of vibrating fundamental frequency for simple-supported elastic rectangle-plates with concentrated mass [J] . QI Hong-yuan, WANG Shuang-xin, ZHU Heng-jun Journal of Central South University of Technology . 2007,第5期

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3. Mapping analysis of vibrating fundamental frequency for simple-supported elastic rectangle-plates with concentrated mass [J] . 中南大学学报（英文版） . 2007,第005期

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4. MAPPING ANALYSIS OF VIBRATION FUNDAMENTAL FREQUENCY IN ELASTIC CLAMPED PLATES [C] . . 2006

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8. On the High Frequency Extensional Vibrations of Isotropic, Elastic Plates [R] . Billman, L. C., Kaul, R. K. 1973

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MAPPING ANALYSIS OF VIBRATION FUNDAMENTAL FREQUENCY IN ELASTIC CLAMPED PLATES

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