| 复合单元法在变截面梁自由振动分析中的应用 |
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| 引用本文： | 吕中荣,谢瑾荣,刘济科.复合单元法在变截面梁自由振动分析中的应用[J].中山大学学报(自然科学版),2010,49(6). |
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| 作者姓名： | 吕中荣 谢瑾荣 刘济科 |
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| 作者单位： | （中山大学工学院，广东 广州 510275） |
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| 基金项目： | 广东省科技计划资助项目，教育部新教师基金资助项目，中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 对复合单元法理论进行简单介绍,利用该方法获得了多阶梯变截面梁和渐变截面梁的有限元动力分析方程。在此基础上通过求解广义特征值问题得到了梁的前几阶固有频率振型。在划分不同单元数目的情况下,对利用复合单元法(CEM)和有限单元法(FEM)以及其他理论方法所得的固有频率进行比较,进一步结合软件ANSYS求解的结果进行比较。数值仿真结果表明:复合单元法具有计算量小、计算精度高的优点。因此,在结构动力分析中有一定应用前景。
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| 关 键 词： | 复合单元法 自由振动 变截面梁 固有频率 |
| 收稿时间： | 2009-11-16; |
Composite Element Method for the Free Vibration Analysis of Non-uniform Beams |
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| L Zhongrong,XIE Jinrong,LIU Jike.Composite Element Method for the Free Vibration Analysis of Non-uniform Beams[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2010,49(6). |
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| Authors: | L Zhongrong XIE Jinrong LIU Jike |
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| Institution: | L(U) Zhongrong,XIE Jinrong,LIU Jike |
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| Abstract: | A brief introduction to composite element method (CEM) is given. The finite element model is established by the composite element model for vibration analysis. The lowest few natural frequencies and the associated modeshapes are obtained from generalized eigenvalue analysis.Comparison is made for the results obtained from the CEM, FEM and other analytical methods. It was further verified by the results from ANSYS. The results show that the CEM has the advantages of computational efficiency and high accuracy. Studies indicates that the proposed method has the potential for application in structure vibration analysis. |
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| Keywords: | composite element method free vibration beams with variable cross section natural frequencies |
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