| 弹性圆柱壳冲击扭转屈曲的突变模型 |
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| 引用本文： | 王德禹,杨桂通.弹性圆柱壳冲击扭转屈曲的突变模型[J].固体力学学报,1992,13(3):201-206. |
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| 作者姓名： | 王德禹 杨桂通 |
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| 作者单位： | 太原工业大学 030024
(王德禹)，太原工业大学 030024(杨桂通) |
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| 摘 要： | 本文将突变理论用于处理冲击载荷下弹性结构的屈曲问题,文中建立了结构冲击屈曲的突变准则,认为临界阶跃载荷位于所提出突变系统的分叉集之中,并由此对两端固支的弹性圆柱壳扭转屈曲进行了分析,给出了不同初缺陷时的临界阶跃扭矩计算公式,通过对临界静态扭矩的计算,表明临界阶跃扭矩小于临界静态扭矩.
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| 关 键 词： | 冲击屈曲 弹性圆柱壳 突变理论 |
A CATASTROPHE MODEL FOR THE IMPACT TORSIONAL BUCKLING OF ELASTIC CYLINDRICAL SHELL |
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| Wang Deyu Yang Guitong.A CATASTROPHE MODEL FOR THE IMPACT TORSIONAL BUCKLING OF ELASTIC CYLINDRICAL SHELL[J].Acta Mechnica Solida Sinica,1992,13(3):201-206. |
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| Authors: | Wang Deyu Yang Guitong |
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| Abstract: | The catastrophe theory is used to study the impact buckling of elastic structures.A criterion for im-pact buckling is establised based on the proposed catastrophe system,whose bifurcation set the criticalstep load is located in.By the present theory,the impact torsional buckling for a clamped cylindrical shellis studied and the critical step torque for different imperfection is given.Also,the static critical torque isgiven,and it is shown that the critical step torque is smaller than the critical static torque. |
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| Keywords: | impact buckling torsional buckling elastic cylindrical shell catastrophe theory |
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