| 基于刚度矩阵的空间变截面梁简化问题 |
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| 引用本文： | 刘悦,王立平.基于刚度矩阵的空间变截面梁简化问题[J].清华大学学报(自然科学版),2008,48(11). |
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| 作者姓名： | 刘悦 王立平 |
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| 作者单位： | 清华大学,精密仪器与机械学系,北京,100084 |
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| 基金项目： | 国家高技术研究发展计划(863计划)
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国家自然科学基金
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| 摘 要： | 为研究机床的静刚度特性,需要得到其各部件的单元刚度矩阵.机床部件的结构往往是不规则的,因此需要将其等效简化为等截面梁单元,才能得到其单元刚度矩阵.该文对任意变截面梁等效简化为等截面梁单元的问题进行了研究,从建立梁单元的单元刚度矩阵的需要出发,推导出了完整的简化方法.为了验证该简化方法的有效性,利用有限元分析软件ABAQUS 6.51对一个力学模型进行了分析,同时用上述的简化方法对该力学模型进行了计算.将两者的计算结果进行对比,相对偏差小于5%,因此可证明该简化方法在变截面梁等效简化为等截面梁单元时的有效性.
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| 关 键 词： | 梁单元 静刚度 单元刚度矩阵 |
Simplification of a spatial beam with variable cross sections based on the stiffness matrix |
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| LIU Yue,WANG Liping.Simplification of a spatial beam with variable cross sections based on the stiffness matrix[J].Journal of Tsinghua University(Science and Technology),2008,48(11). |
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| Authors: | LIU Yue WANG Liping |
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| Institution: | LIU Yue,WANG Liping(Department of Precision Instruments , Mechanology,Tsinghua University,Beijing 100084,China) |
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| Abstract: | The element stiffness matrixes of a machine tool's parts are needed to analyze the static stiffness performance of the machine tool.The part structure is usually irregular and has to be simplified to obtain the element stiffness matrix.A complete simplification method was developed to simplify a spatial beam with variable cross sections into a beam with a constant cross section.A dynamic model was solved using the finite element analysis(FEA) software ABAQUS 6.51 and was also calculated using the simplifica... |
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| Keywords: | beam element static stiffness element stiffness matrix |
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