| 周边固支圆厚板受偏心集中力的弯曲问题的Fourier级数解 |
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| 引用本文： | 蔡长安.周边固支圆厚板受偏心集中力的弯曲问题的Fourier级数解[J].贵州科学,1999,17(3):173-179. |
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| 作者姓名： | 蔡长安 |
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| 作者单位： | 贵州工业大学基础部,贵阳 |
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| 摘 要： | 应用Ｆｏｕｒｉｅｒ－Ｂｅｓｓｅｌ级数求解了周边固支的Ｒｅｉｓｓｎｅｒ型圆厚板受偏心集中力的弯曲问题。当板的厚度与半径之比（ｈ／Ｒ）趋于零时，本文的解即化为经典薄板理论相应弯曲问题的解。
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| 关 键 词： | 圆厚板 非轴对称弯曲 偏心集中力 F－B级数解 |
Fourier Series Solution for Bending of a Circular Thick Plate with Fixed Edge Loaded by an Eccentric Concentrated Force |
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| Cai Chang''''an.Fourier Series Solution for Bending of a Circular Thick Plate with Fixed Edge Loaded by an Eccentric Concentrated Force[J].Guizhou Science,1999,17(3):173-179. |
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| Authors: | Cai Chang'an |
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| Abstract: | The bending problem of a circular Reissner's thick plate with fixed edge loaded by aneccentric concentrated force has been solved by adopting the Fourier-Bessel Anes. The expression ofdeflection has also been obtained in series form. Numerical results are given in this paper . When the ration of the thickness of the plate to the radius of the plate, h/R, tends to zero, the solution of this paper trendsto the corresponding solution of the classical thin plate theory. |
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| Keywords: | thick circular plate non-symmetry bending eccentric concentrated force Fourier-Bessel series fixed edge |
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