轴向压应力波下圆柱壳弹性动力屈曲数值解法

Numerical solution to elastic dynamic buckling of cylindrical shells under axial compression wave

利用哈密顿原理和相邻平衡准则导出了圆柱壳非轴对称弹性动力屈曲控制方程.根据能量守恒定律得出了压缩波前屈曲变形的附加约束方程,由此得到了求解圆柱壳弹性动力屈曲控制方程的完备定解条件.利用差分方法求解了包含双特征参数的动力屈曲控制方程,研究了轴向临界应力随加载周期的变化情况,解出了动力失稳模态并对比分析了动力屈曲模态和静力屈曲模态的差别.

The governing equations for dynamic buckling of cylindrical shells were derived by Hamilt-on s theorem and adjacent-equilibrium criterion.According to the conservation criterion for the rate of the energy transformation in the buckling instant,the supplementary restraint equation for buckling deformation at the front of the compression wave was obtained.Then the sufficient conditions for solving the dynamic buckling problem of cylindrical shells were obtained.The governing equations were solved and the dynamic characteristic parameter ial critical stress-critical modes and the dynamic buckling modes and the values of the critical load parameter and the dynamic were calculated by the finite difference method. The variation curve of the ax buckling time was researched and the differences between the static buckling buckling modes were compared and analyzed.