| 基于广义阶梯函数解矩形域的纵向剪切问题 |
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| 引用本文： | 王钟羡,刘志明,苏虹. 基于广义阶梯函数解矩形域的纵向剪切问题[J]. 江苏大学学报(自然科学版), 2001, 22(4): 83-86 |
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| 作者姓名： | 王钟羡 刘志明 苏虹 |
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| 作者单位： | 江苏理工大学理学院, |
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| 摘 要： | 根据弹性力学的基本原理 ,建立了矩形域在边界上受纵向剪切载荷的牛曼 (New mann)问题 ;应用广义阶梯函数来表示载荷 ,然后再将其展开成傅立叶级数形式 ,推导出纵向剪切问题的位移计算公式 .结合载荷的可能分布形式 ,给出了几种情况下位移及剪应力的表达式 .此解答在工程中有一定的理论及实际意义 .
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| 关 键 词： | 纵向剪切 广义阶梯函数 矩形域 |
| 文章编号： | 1007-1741(2001)04-0083-04 |
| 修稿时间： | 2001-02-08 |
A Solution to the Problem of the Longitudinal Shear of Rectangular Region Based on Generalized Step Function |
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| WANG Zhong xian,LIU Zhi ming,SU Hong. A Solution to the Problem of the Longitudinal Shear of Rectangular Region Based on Generalized Step Function[J]. Journal of Jiangsu University:Natural Science Edition, 2001, 22(4): 83-86 |
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| Authors: | WANG Zhong xian LIU Zhi ming SU Hong |
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| Abstract: | According to the fundamental theory of elasticity , the Newmann problem of the rectangular region with longitudinal shear load is set up ;The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived . In this paper , the expressions of the displacement and the shear stress are presented according to the possible form of the longitudinal load. This solution is of some academic and practical significance. |
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| Keywords: | longitudinal shear generalized step function rectangular region |
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