| 薄扁球壳受冲击载荷作用时动力屈曲的数值计算 |
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| 引用本文： | 穆建春 吴文周. 薄扁球壳受冲击载荷作用时动力屈曲的数值计算[J]. 应用数学和力学, 1992, 13(2): 111-119 |
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| 作者姓名： | 穆建春 吴文周 |
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| 作者单位： | 太原工业大学(穆建春，吴文周)，太原工业大学(杨桂通) |
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| 摘 要： | 本文在轴对称变形的假设前题下,通过将扩展了的Marguerre’s方程化为差分方程,对其上作用荷载面积不同时的固支弹性薄扁球壳的屈曲问题作了一些探讨.由此发现,固支薄扁球壳在外界冲击荷载作用下,在λ(=2[3(1-v~2)]~(1/4)(H/h)~(1/2))的某一范围内发生了跳跃屈曲,并得到轴对称跳跃屈曲荷载随壳体上荷载作用面积的增大而提高的结论.
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| 关 键 词： | 壳体 屈曲 撞击 冲击荷载 数值计算 |
A Numerical Calculation of Dynamic Buckling of a Thin Shallow Spherical Shell under Impact |
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| Mu Jian-chun Wu Wen-zhou Yang Gui-tong. A Numerical Calculation of Dynamic Buckling of a Thin Shallow Spherical Shell under Impact[J]. Applied Mathematics and Mechanics, 1992, 13(2): 111-119 |
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| Authors: | Mu Jian-chun Wu Wen-zhou Yang Gui-tong |
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| Abstract: | Assuming the deformation of the shell has an axial symmetrically form, we transform the Marguerre's equations[1] into difference equations, and use these equations to discuss the buckling of an elastic thin shallow spherical shell subjected to impact loads. Tlie result shows when impact load acts on the shell, a jump of the shell takes place dependent on the values A and the critical buckling load increases with the enlargement of the loading area. |
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| Keywords: | shell buckling impact |
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