| 曲杆梁格内力影响面的机动分析有限元法 |
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| 引用本文： | 湛发益,周先雁,姚宏旭.曲杆梁格内力影响面的机动分析有限元法[J].中南林业科技大学学报,2007,27(1):129-132. |
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| 作者姓名： | 湛发益 周先雁 姚宏旭 |
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| 作者单位： | 中南林业科技大学土木建筑与力学学院 湖南长沙410004 |
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| 基金项目： | 中南林业科技大学青年科学研究基金重点项目 |
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| 摘 要： | 以米勒-布雷斯劳原理为基础,运用小变形的叠加原理,将曲杆梁格机动分析与有限元静力分析相结合,建立了曲杆梁格内力影响面分析的机动分析有限元法,该方法把内力影响面分析归结为求解在一个等效结点荷载作用下的梁格位移场,并推导了计入横向剪切变形影响的十二自由度空间曲梁单元等效结点荷载计算公式.该方法概念简洁清晰,与静力法及直接求解位移的机动法相比,计算效率大为提高.算例表明了本文理论和所推导公式的正确性.
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| 关 键 词： | 土木建筑 曲杆梁格 内力影响面 机动法 等效结点荷载 |
| 文章编号： | 1000-2502（2007）01-0129-04 |
| 收稿时间： | 2006-06-02 |
| 修稿时间： | 2006-06-02 |
Finite Element Method for Kinematical Analysis of the Internal Force Influence Surface of Curved-Bar Grillage |
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| ZHAN Fa-yi,ZHOU Xian-Yan,YAO Hong-xu.Finite Element Method for Kinematical Analysis of the Internal Force Influence Surface of Curved-Bar Grillage[J].Journal of Central South Forestry University,2007,27(1):129-132. |
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| Authors: | ZHAN Fa-yi ZHOU Xian-Yan YAO Hong-xu |
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| Abstract: | Based on the Muller-Breslau principle,a finite element method to kinematically analyze the internal force influence surface is established by combining a kinematical method with the finite element static method and using the superposition principle applied to little displacement for curved-bar grillage.With this method,the analysis of internal force influence surface comes down to a matter of solving a displacement field under equivalent nodal loads.Formulas of equivalent nodal loads for the curved-beam element,involving twelve degrees of freedom and taking the effect of transverse shearing deformation into account,have been deduced.Compared with the static method and kinematical method for computing displacement,the method presented here brings high efficiency.And the conception is concise and clear.Examples are also given to demonstrate the correctness of the theory and formulas. |
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| Keywords: | civil engineering curved-bar grillage internal force influence surface kinematic method equivalent nodal load |
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