| 一端固定一端自由梁柱屈曲问题的变分法解 |
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| 引用本文： | 曾达聪,杨敏.一端固定一端自由梁柱屈曲问题的变分法解[J].贵州工业大学学报(自然科学版),1998,27(2):18-22,46. |
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| 作者姓名： | 曾达聪 杨敏 |
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| 作者单位： | [1]贵州教育学院数学系 [2]贵州工业大学基础部 |
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| 摘 要： | 由变分法中的最小势能原理导出一端固定一端自由梁柱屈曲时的最小极限压力，并用电位能的二阶变分说明这个最小极限压力就是该梁柱的欧位临界力Ｐｃｒ。
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| 关 键 词： | 屈曲 稳定平衡 临界压力 变分法 梁柱 |
THE SOLUTION TO THE BUCKLING PROBLEM OF A BEAM COLUMN FIXED AT ONE END AND FREE AT THE OTHER END BY THE VARIATION CALCULUS |
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| Zeng Dacong.THE SOLUTION TO THE BUCKLING PROBLEM OF A BEAM COLUMN FIXED AT ONE END AND FREE AT THE OTHER END BY THE VARIATION CALCULUS[J].Journal of Guizhou University of Technology(Natural Science Edition),1998,27(2):18-22,46. |
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| Authors: | Zeng Dacong |
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| Abstract: | In this paper,on the basis of the principle of minimm potential energy,the minimm limit compression force is obtained by the variation calculus and,by using the second order variation of the total potential energy,the minimm limit force is proved to be the critical pressure for the beam,which is fixed at one end and free at the other end to lose stability. |
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| Keywords: | buckling stable equilibrium variation positive definite quality oritical pressure |
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