圆柱壳在轴向压力作用下的稳定性和振动特性

Stability and vibration characteristics of cylindrical shells under axial compression

利用Hamilton原理得出轴向压力作用下圆柱壳位移增量的动力学方程,推导了方程的解析解。通过数值计算,分析了轴向压力作用下圆柱壳的临界屈曲压力随壳体长度变化的曲线,讨论了壳体几何参数(L,h)变化和轴向力幅值变化对振动频率影响的变化曲线。数值计算结果表明,圆柱壳的临界屈曲压力与失稳模态紧密相关;圆柱壳的自振频率随壳体的长度增加而下降,随壳体的厚度增加而提高;圆柱壳的自振频率和最低频率随轴向压力的增大而下降。

The dynamical equations for displacement increments of cylindrical shells under axial compression were derived and the analysis solution of the equations obtained by means of Hamilton＇s theorem. The variation curve of the critical dynamic buckling compression-shell＇s length of cylindrical shells under axial compression was analyzed by numerical calculation, and also the variation curve of shell-geometry parameters （length, thickness） and axial load on the vibration frequencies was studied. The numerical calculation results show that the critical dynamic buckling compression is closely related to the deformation modes; the vibration frequencies decrease with the ascent of shell＇s length and increase with the ascent of shell＇s thickness; the vibration frequencies and the lowest frequencies decrease with the ascent of axial compression.