| 建立基于力的变截面梁单元质量矩阵的新方法 |
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| 引用本文： | 左占宣,李爽,翟长海,谢礼立.建立基于力的变截面梁单元质量矩阵的新方法[J].计算力学学报,2013,30(5):744-748. |
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| 作者姓名： | 左占宣 李爽 翟长海 谢礼立 |
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| 作者单位： | 哈尔滨工业大学 土木工程学院, 哈尔滨 150090;哈尔滨工业大学 土木工程学院, 哈尔滨 150090;哈尔滨工业大学 土木工程学院, 哈尔滨 150090;哈尔滨工业大学 土木工程学院, 哈尔滨 150090;中国地震局 工程力学研究所, 哈尔滨 150080 |
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| 摘 要： | 基于位移的有限梁单元中三次Hermite插值函数不能有效地描述变截面梁单元内部位移变化,只能通过加密网格增加单元数解决,会造成计算量增大。基于力的有限梁单元由于使用的力插值函数不受截面形状变化的影响,在处理变截面梁时有很大优势,可以得到精确的位移插值函数,利用较少的单元可以达到很高的精度,解决了基于位移的有限梁单元在处理变截面梁时的不足。本文得到了考虑剪切变形的位移插值函数和考虑转动惯量的一致质量矩阵。利用算例验证了本文理论的正确性和高效性。
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| 关 键 词： | 梁单元 剪切变形 一致质量矩阵 |
| 收稿时间： | 3/2/2012 12:00:00 AM |
| 修稿时间： | 2012/4/11 0:00:00 |
A new method of formulating the consistent mass matrices for force-based beam elements |
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| ZUO Zhan-xuan,LI Shuang,ZHAI Chang-hai and XIE Li-li.A new method of formulating the consistent mass matrices for force-based beam elements[J].Chinese Journal of Computational Mechanics,2013,30(5):744-748. |
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| Authors: | ZUO Zhan-xuan LI Shuang ZHAI Chang-hai and XIE Li-li |
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| Institution: | School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China |
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| Abstract: | The displacement-based beam elements can not effectively describe the internal displacement field for variable cross-section beams.The only method to solve this problem is to use more elements,which will increase the computational cost.Force-based beam elements,which use the force interpolation functions and can get the accurate displacement interpolation functions,have advantages of dealing with the variable cross-section beams and have higher accuracy than the displacement-based beam elements.This paper derives the consistent mass matrices considering moment of inertia and shear deformation.The accuracy and efficiency of the mass matrices is verified by numerical examples. |
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| Keywords: | beam elements shear deformation consistent mass matrices |
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