前屈曲应力状态对组合加肋旋转壳失稳临界压力影响的探讨

推导了包含前屈曲弯矩和横剪力的旋转壳弹性稳定性基本方程.运用Riccati传递矩阵法对组合加肋旋转壳算例进行了稳定性分析,并与假设前屈曲状态为薄膜应力状态计算出的失稳临界压力进行了比较.结果表明,前屈曲弯矩和横剪力对组合加肋旋转壳失稳临界压力的影响较小,随着壳板厚度和肋骨尺寸的增大及肋骨间距的缩短,影响略有增大.因而,分析组合加肋旋转壳弹性稳定性时,前屈曲状态采用薄膜应力状态的假设是合理的.

DISCUSSION ON THE INFLUENCE OF PREBUCKLING STRESS SYSTEM ON THE CRITICAL BUCKLING PRESSURE OF RING-STIFFENED COMBINED SHELL OF REVOLUTION

Basic elastic stability equations of the shell of revolution are deduced and the moments and transverse shear forces in the prebuckling basic stress system are considered in the equations.By using Riccati transfer matrix method,the stability of some examples of ring-stiffened combined shell of revolution is analyzed.The calculated results of the critical buckling pressure are compared with the results of the examples,of which the prebuckling stress are assumed to be membrane.The comparison shows that the influence of the moments and transverse shear forces on the critical buckling pressure is small and it increases slightly along with the decrease of the length of combined shell of revolution or the distance between ribs and the increase of the shell thickness or the dimension of ribs.So,when analyzing the elastic stability of ringstiffened combined shell of revolution,the assumption of membrane stress system before buckling is reasonable.