闭合圆柱壳在轴向冲击荷载下的某些动力计算问题
Some Problems for Dynamic Computation of Closed Cylindrical Shell Due to Axial impact Load
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摘要: 本文讨论了闭合圆柱形壳体在轴向冲击荷载作用下的某些动力计算问题,其中包括动应力的计算和稳定性问题.文中分析了冲击过程中动量及能量的变化,并计入冲击物和被冲击的闭合圆柱壳系统质量的影响;用相当质量法将整个圆柱形壳体的分布质量转化为只集中在壳体一端的“相当质量”,从而导出闭合圆柱形壳体在轴向冲击荷载作用下的动力因数,因而解决了在上述受力情况下计算动应力的问题和求出临界荷重的问题.Abstract: The present paper treats some of the problems for dynamic computation of closed cylindrical shell due to an axial impact load, including the calculations of the dynamic stresses and the problems of stability. It analyses the changes of the momen tums and the energy in the impact process, takes into account the effect of the mass of the striking object and the system of the closed cylindrical shell to be struck, turns the distributed mass of the total cylindrical shell into an "equivalent mass" being concentrated on only at one end of the shell by using the way of reduced mass, and accordingly derives the dynamic factor of the closed cylindrical shell under the axial impact load, hence resolves the questions of calculation of the dynamic stresses in the loaded case mentioned above and found out the critical loading.
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[1] Saint-Venant,B.,Theory of Elasticity of the Solids,Paris,Parag.61 (1883),490. [2] Love,A.E.H.,Math.Theo.of Elast.(1927),198. [3] Timoshenko,S.,Vibration Problems in Engineering,second edition (1937). [4] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,second edition,McGraw-Hill Book Comp.Inc.(1959). [5] Власов В.З.,Общая Теорця Оболочек,Гостехиздат(1949). [6] Timoshenko,S.,Theory of Elastic Stability (1936).
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