外压容器设计的解析算法

A new analytical algorithm for the design of external pressure vessels

对ASMEⅧ-1和GB150中的线算图进行了无量纲处理,证明了现行标准ASMEⅧ-1、GB150和EN13445中的外压容器图算法与强度稳定综合理论中的比例定律在物理本质和计算原理上的一致性,说明了"比例定律"的数学式与图算法线算图之间的等价关系,给出了外压容器设计的非线性失稳解析算式.利用该算式对5个钛制外压球壳极限压力进行了预测,结果表明,该算式的计算结果与试验结果吻合较好,且便于工程应用.

It was proved that the physical essence and calculation principle of graphic analysis of external pressure vessels in ASME Ⅷ - 1, GB150 and EN13445 standards are consistent with that of proportional law in ＂combined theory of strength and stability＂ by transforming the graphic charts in the standards into dimensionless charts. Equivalent relation between mathematic expression of the proportionality law and graphic charts was illustrated, and an analytical equation for nonlinear instability of external pressure vessel has been established. The equation was applied to calculate the ultimate pressure of 5 titanium alloy spherical shells under external pressure. It showed that values predicted by this equation coincide with test results; the algorithm is convenient for technicians to calculate.