| 求突变模型梁挠度的差分方程 |
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| 引用本文： | 王维,袁祥忠.求突变模型梁挠度的差分方程[J].西南石油学院学报,1992,14(2):84-89. |
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| 作者姓名： | 王维 袁祥忠 |
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| 作者单位： | 西南石油学院石油机械系
(王维)，西南石油学院石油机械系(袁祥忠) |
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| 摘 要： | 本文根据函数在突变点的单侧泰勒展开导出了突变模型梁的挠度差分方程。结果表明,传统的挠度差分方程在一般情况下仅零阶逼近于挠度近似微分方程,而本文导出的实用差分方程二阶逼近于挠度微分方程。对无分布力作用的梁用本文的差分方程将得到挠度的精确解而与差分步长选取无关。
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| 关 键 词： | 应力分析 工程力学 数学模型 |
DIFFERENCE EQUATIONS FOR SOLVING DEFLECTION OF BEAMS WITH STEP MODEL |
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| Wang Wei Yuan Xiangzhong.DIFFERENCE EQUATIONS FOR SOLVING DEFLECTION OF BEAMS WITH STEP MODEL[J].Journal of Southwest Petroleum Institute,1992,14(2):84-89. |
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| Authors: | Wang Wei Yuan Xiangzhong |
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| Affiliation: | Department of Mechanical Engineering |
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| Abstract: | In this paper, a second order difference equation is deduced by expanding only the deflection of a beam on one side of the step point. The exact resuits of the deflection of the beams, without the distributed forces acting on, can be obtained in terms of only one or two equations. It is because in this case the difference accuracy of the equation is independent of the length of the difference step. |
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| Keywords: | Engineering mechanics Analysis of stress Mathematical model |
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