| 变步长Hermite差分法计算变截面柱临界荷载 |
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| 引用本文： | 刘翠莲,段克让. 变步长Hermite差分法计算变截面柱临界荷载[J]. 武汉大学学报(工学版), 1987, 0(1) |
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| 作者姓名： | 刘翠莲 段克让 |
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| 作者单位： | 武汉水利电力学院水利水电工程建筑及施工系(刘翠莲)，武汉水利电力学院水利水电工程建筑及施工系(段克让) |
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| 摘 要： | 本文首次推导出了变步长的Hermite差分公式,用它来计算变截面柱的临界荷载,这是一个很有效的新的数值方法。Hermite差分法的特点是:它所构造的差分格式中不仅含有未知位移函数在网格点上的值,而且还包含未知函数的导数在这些点上的值。因而它与有限差分法相比较,在相同的网格情况下可以提高精度,通过算例说明,该方法的优越性是明显的。
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| 关 键 词： | 差分法 Hermite's差分法 变截面柱 变步长 临界荷载 边界条件 精度 网格 |
Calculating the Critical Load of a Column by Hermite''''s Difference Method With Variable Step Length |
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| Liu Cuilian,Duan Kerang. Calculating the Critical Load of a Column by Hermite''''s Difference Method With Variable Step Length[J]. Engineering Journal of Wuhan University, 1987, 0(1) |
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| Authors: | Liu Cuilian Duan Kerang |
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| Affiliation: | Liu Cuilian;Duan Kerang |
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| Abstract: | The Hermite's difference method with variable step length is first derived and used to compute the critical load of a variable cross section column. The new difference formulation contains both values and derivatives of the unknown displacement function at the nodes of a discrete system. So higher accuracy can be reached on relatively crude grid compared with the finite difference method. The example shows that effectiveness and advantage of the method is remarkable. |
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| Keywords: | difference methods critical load precision grid boundary condition Hermite's difference methods variable cross section column variable step length |
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