| 周期性弹性支座上的无限长梁静力问题的精确解 |
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| 引用本文： | 蔡承武,张焦宏.周期性弹性支座上的无限长梁静力问题的精确解[J].中山大学学报(自然科学版),1991,30(1):1-6. |
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| 作者姓名： | 蔡承武 张焦宏 |
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| 作者单位： | 中山大学应用力学与工程系，中山大学应用力学与工程系，中山大学应用力学与工程系 |
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| 摘 要： | 基于无限长链式周期结构可以认为是相应的回转周期结构当子结构数目趋于无穷时的极限情形。本文应用U变换,得到了在任意载荷条件下封闭形式的精确解。对两种典型载荷,文中给出了解答的表达式;导出了近似模型的相对误差依赖于无量纲弹簧常数K的显式函数关系。
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| 关 键 词： | U变换 周期注弹性支座 精确方法 |
On Exact Solutions for an Infinite Uniform Beam with Periodic Elastic Supports under Arbitrary Loads |
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| Cai Chengwu,Zhang Jiaohong,Li Ying.On Exact Solutions for an Infinite Uniform Beam with Periodic Elastic Supports under Arbitrary Loads[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1991,30(1):1-6. |
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| Authors: | Cai Chengwu Zhang Jiaohong Li Ying |
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| Institution: | Cai Chengwu;Zhang Jiaohong;Li Ying Department of Applied Mechanics and Engineering |
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| Abstract: | The Static analysis of the infinite uniform beams resting on periodic elasticsupports and subjected to arbitrary loads is studied by the U transformationmethod. Thesystem considered can be regarded as a rotationally periodic structure with infinite number ofsubstructures. The closed form solutions for thecases of uniformly distributed and concentrated load acting on a substructure are found and compared with those obtained by the theory of the beams on elastic foundation. It is shown that the relative error is only dependent on the value ofthe nondimensional spring constant K. |
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| Keywords: | U fransformation periodic elastic supports exact method |
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