| 有限单元法计算n室薄壁断面可畸变直箱结构的自振频率 |
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| 引用本文： | 李明昭,周竞欧. 有限单元法计算n室薄壁断面可畸变直箱结构的自振频率[J]. 同济大学学报(自然科学版), 1987, 0(1) |
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| 作者姓名： | 李明昭 周竞欧 |
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| 作者单位： | 同济大学结构工程系(李明昭)，同济大学结构工程系(周竞欧) |
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| 摘 要： | 本文以箱形断面的薄壁杆杆段为单元,建立了直杆单元的刚度矩阵和单元质量矩阵,对两个例子进行了数字计算,同时也建立了能量法求固有频率的算式,检验了有限元法的结果。此外还演引了固有振动的微分方程组并求得解,解析法的结果也验证了有限元法的计算公式。
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| 关 键 词： | 畸变-断面 薄壁结构 箱梁 |
The Finite Element Method for Computing Natural Frequencies of Thin-Walled Box Members with Distorted Multicelled Sections |
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| Li Mingzhao,Chou Jing'ou. The Finite Element Method for Computing Natural Frequencies of Thin-Walled Box Members with Distorted Multicelled Sections[J]. Journal of Tongji University(Natural Science), 1987, 0(1) |
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| Authors: | Li Mingzhao Chou Jing'ou |
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| Affiliation: | Li Mingzhao;Chou Jing'ou |
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| Abstract: | Formulas for stiffness matrix and mass matrix of elementary thin-walled box member with distorted multicelled section for finite element method (1) are developed by the authors, who aim at getting a system of versatile, compact mathematic-ally and quite accurate formulas on this topic. In order to make sure of the reliability of the beforementioned formulas,analytical method (2) and energy method (3) are developed simultaneously. Thenumerical results of computation with methods 1, 2, 3 are in satisfactory agreement. |
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| Keywords: | Distortion-Cross sections Thin-walled structure Box beam |
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