| 变分法解两端铰支梁柱的屈曲问题 |
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| 引用本文： | 杨敏. 变分法解两端铰支梁柱的屈曲问题[J]. 贵州工业大学学报(自然科学版), 1996, 0(2) |
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| 作者姓名： | 杨敏 |
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| 作者单位： | 贵州工学院基础部 |
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| 摘 要： | 本文由变分法中的最小势能原理导出两端铰支的梁柱屈曲时的最小轴向压力，并用总位能的二阶变分说明这个最小轴向压力就是该梁柱的临界压力Ｐｃｒ。
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| 关 键 词： | 屈曲；稳定平衡；变分；正定性；临界压力 |
THE SOLUTION OF THE BUCKLING PROBLEM OF A BEAM COLUMN WITH SIMPLY-SUPPORTED ENDS BY THE VARIATION CALCULUS |
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| Yang Min. THE SOLUTION OF THE BUCKLING PROBLEM OF A BEAM COLUMN WITH SIMPLY-SUPPORTED ENDS BY THE VARIATION CALCULUS[J]. Journal of Guizhou University of Technology(Natural Science Edition), 1996, 0(2) |
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| Authors: | Yang Min |
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| Abstract: | in this paper, by adopting the variation calculus on the basis of the principle of minimum potential energy, the minimum axial compression force is obtained and, by using the second-order variation of the total potential energy, the minimum axial force is proved to be the critical pressure for the beam column to lose stability. |
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| Keywords: | buckling stable equilibrium variation positive definite quality critical pressure |
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