【摘要】 在外压作用下,从稳定的观点来看,凸壳比凹壳好.本文证明凹壳还有一个不利的形式,如果几何上恰好满足这个条件,临界力就要大幅度降低. 对于凸壳,本文建立了半弯矩理论的腰鼓形壳体在外压作用下的稳定性方程式;然后把它转化为一个变分问题,分别求得了两种约束条件下最优形状的准确解.更多还原

【Abstract】 It is well known from the viewpoint of buckling strength for cylinder-like shells under external hydrostatic pressure that the convex juncture is better than the concave one. In this paper it is further demonstrated that there exists an unfavorable configuration to the concave jointed shell for which the buckling strength decreases dramatically.In the second section of this paper, the buckling equation for the "Drum shaped shell"is deduced. The shape optimization problem for the envelope is solved in the remaining sections under two different constraint cases.更多还原