| Mapping analysis of vibrating fundamental frequency for simple-supported elastic rectangle-plates with concentrated mass |
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| 作者姓名： | 齐红元 王爽心 朱衡君 |
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| 作者单位： | School of Mechanical and Electric Control Engineering Beijing Jiaotong University，School of Mechanical and Electric Control Engineering Beijing Jiaotong University，School of Mechanical and Electric Control Engineering Beijing Jiaotong University，Beijing 100044 China，Beijing 100044 China，Beijing 100044 China |
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| 摘 要： | By conformal mapping theory, a trigonometric interpolation method between odd and even sequences in rectangle boundary region was provided, and the conformal mapping function of rectangle-plate with arc radius between complicated region and unite dish region was carried out. Aiming at calculating the vibrating fundamental frequency of special-shaped, elastic simple-supported rectangle-plates, in the in-plane state of constant stress, the vibration function of this complicated plate was depicted by unit dish region. The coefficient of fundamental frequency was calculated. Whilst, taking simple-supported elastic rectangle-plates with arc radius as an example, the effects on fundamental frequency caused by the concentrated mass and position, the ratio of the length to width of rectangle, as well as the coefficient of constant in-plane stress were analyzed respectively.
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Mapping analysis of vibrating fundamental frequency for simple-supported elastic rectangle-plates with concentrated mass |
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| QI Hong-yuan,WANG Shuang-xin,ZHU Heng-jun.Mapping analysis of vibrating fundamental frequency for simple-supported elastic rectangle-plates with concentrated mass[J].Journal of Central South University of Technology,2007,14(5). |
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| Authors: | QI Hong-yuan WANG Shuang-xin ZHU Heng-jun |
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| Abstract: | By conformal mapping theory, a trigonometric interpolation method between odd and even sequences in rectangle boundary region was provided, and the conformal mapping function of rectangle-plate with arc radius between complicated region and unite dish region was carried out. Aiming at calculating the vibrating fundamental frequency of special-shaped, elastic simple-supported rectangle-plates, in the in-plane state of constant stress, the vibration function of this complicated plate was depicted by unit dish region. The coefficient of fundamental frequency was calculated. Whilst, taking simple-supported elastic rectangle-plates with arc radius as an example, the effects on fundamental frequency caused by the concentrated mass and position, the ratio of the length to width of rectangle, as well as the coefficient of constant in-plane stress were analyzed respectively. |
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| Keywords: | conformal mapping elastic simple-supported plates vibration fundamental frequency mode method of trigonometric interpolation |
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