| 不同模量悬臂梁的解析解及有限元数值解 |
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| 引用本文： | 叶志明,姚文娟. 不同模量悬臂梁的解析解及有限元数值解[J]. 机械强度, 2005, 27(2): 262-267 |
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| 作者姓名： | 叶志明 姚文娟 |
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| 作者单位： | 上海市应用数学和力学研究所,上海大学,土木系,上海,200072;上海市应用数学和力学研究所,上海大学,土木系,上海,200072 |
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| 基金项目： | 上海市博士点科学基金，上海市高校科研发展基金资助。~~ |
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| 摘 要： | 拉压不同模量的材料在各类工程中广泛应用，针对该特点推导出不同模量悬臂梁的解析解，并编制相应的有限元程序，分别用两种方法进行计算，并对比误差。最后对不同模量理论计算结果与经典的同模量理论计算结果的差异进行分析，并提出对该类结构计算的合理建议。
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| 关 键 词： | 拉压不同模量 悬臂梁 解析解 有限元法 |
ANALYTICAL AND FINITE ELEMENT SOLUTIONS OF CANTILEVER BEAM WITH DIFFERENT TENSION AND COMPRESSION MODULUS |
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| YE ZhiMing,YAO WenJuan. ANALYTICAL AND FINITE ELEMENT SOLUTIONS OF CANTILEVER BEAM WITH DIFFERENT TENSION AND COMPRESSION MODULUS[J]. Journal of Mechanical Strength, 2005, 27(2): 262-267 |
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| Authors: | YE ZhiMing YAO WenJuan |
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| Abstract: | With the applications of materials with different tension and compression modulus in various engineering, the analytical and finite element solutions of cantilever beam problems have been obtained. The errors between analytical and finite element solutions are discussed in details. Finally, the solutions with different modulus were compared with the one of same modulus, and the reasonable suggestion was given to investigate this kind of materials in structural design and application. |
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| Keywords: | Different modulus with tension and compression Cantilever beam Analytical solution Finite element method |
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