变厚度锥壳的稳定性问题

本文从奇异摄动原理出发,给出了任意变厚度锥壳在均勻外压下,其失稳临界力的显式表达式。并由此证明了文献2]所提出的简化模型,虽然在形式上仅是摄动参数(锥壳的锥度)的零级近似方程,但其解的精度至少能达到摄动参数的一级近似。

STABILITY OF FLEXIBLE VARIABLE-THICKNESS CONICAL SHELLS

In this paper, the flexural stability analyses of varying thickness conical shells subjected to uniform external pressure using perturbational method is described, and the apparent expressions of buckling loads for variable thickness functions is derivecl. Besides above these, It is also proved that, although the equations of stability theory simplified by 2] is the same only as ones of zero order perturbational approximation, the expression of buckling loads given in 2] is accurate to the first order of appoximation in the case of constant thickness.