| 含钉孔有限大板应力集中系数的解析变分解法 |
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| 引用本文： | 席源山,张行,任炳义,罗安民.含钉孔有限大板应力集中系数的解析变分解法[J].航空学报,1995,16(2):39-45. |
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| 作者姓名： | 席源山 张行 任炳义 罗安民 |
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| 作者单位： | 北京航空航天大学飞行器设计与应用力学系，航空工业总公司６１１所研究所 |
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| 摘 要： | 导出满足弹性理论平面问题所有支配方程的应力场与位移场的罗朗级数展开式；用变分方法满足含钉孔有限大板边界条件并确定级数中的系数与应力集中系数；最后进行收敛性验证并给出系统计算曲线。
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| 关 键 词： | 薄板理论 变分法 应力集中 |
ANALYTICAL VARIATIONAL METHOD OF SOLUTION FOR STRESS CONCENTRATION FACTORS OF FINITE PLATES WITH A PIN HOLE |
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| Xi YuanShan,Zhang Xing.ANALYTICAL VARIATIONAL METHOD OF SOLUTION FOR STRESS CONCENTRATION FACTORS OF FINITE PLATES WITH A PIN HOLE[J].Acta Aeronautica et Astronautica Sinica,1995,16(2):39-45. |
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| Authors: | Xi YuanShan Zhang Xing |
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| Institution: | 1. Dept.of Flight Vehicle Design and appl.Mech.,BeijingUniv.ofAero.andAstron,Beijing,100083;2. Chengdu Aircraft Industrial Cooperation,Chengdu,610041 |
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| Abstract: | First of all,Laurent series expansions of stress and displacement fields satisfying all of the governing equations of plane problems in theory of elasticity are derived.Next,the variational method is applied to satisfy the boundary conditions of a plate with a pin hole.Then,the coefficients in Laurent series and the stress concentration factor can be determined.Finally,the convergency tests and systematical results are given for engineering applications. |
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| Keywords: | plate theory calculus of variations stress concentration |
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