| 变截面平面梁单元的双线性模型 |
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| 引用本文： | 王家林,朱增辉,肖盛燮.变截面平面梁单元的双线性模型[J].重庆交通大学学报(自然科学版),2004,23(2):21-25. |
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| 作者姓名： | 王家林 朱增辉 肖盛燮 |
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| 作者单位： | 重庆大学,土木工程学院,重庆,400044;重庆交通学院,土木建筑学院,重庆,400074;重庆交通学院,土木建筑学院,重庆,400074 |
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| 摘 要： | 从变形体虚功原理出发,推导了平面任意变截面梁单元的刚度阵和质量阵;从用户使用方便简单的角度提出了一种双线性变截面模型,在此基础上得到了梁单元的刚度阵、质量阵以及机动法求影响线公式的显式表达式.算例表明双线性变截面梁单元符合位移有限元的特点,在应用方便情况下能有效地提高精度,具有一定的实用性.
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| 关 键 词： | 变截面 梁单元 刚度阵 质量阵 影响线 |
| 文章编号： | 1001-716X(2004)02-0021-05 |
| 修稿时间： | 2003年5月7日 |
A bi-linear model of non-uniform plane beam element |
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| Abstract: | By applying the virtual work principle, the stiffness and mass matrices of an arbitrary non-uniform plane beam element are derived in the paper. For the simplicity and convenience in application, a bi-linear non-uniform plane beam model is recommended. Its stiffness matrix, mass matrix and influence lines by kinematic method can be formulized explicitly. A numeric example demonstrates its accuracy in comparison with the analytic results and indicates that its results coincide with those of the displacement finite element methods. |
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| Keywords: | non-uniform beams beam elements stiffness matrices mass matrices influence lines |
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