深潜器耐压壳极限强度的模量算法

通过引入承压球壳变形的对称性假设,将承受均匀外压球壳的理论表达简化为筒形板及弹性基础梁的数学模型.引入参数,将切线模量理论等多种模量理论统一表达,在材料应力应变曲线的基础上,得到模量因子曲线和相应的解析表达式.以切线模量理论和双模量理论为例,将2种模量理论应用于钛合金球壳的承载力计算,并将计算值与实验结果进行比较,得出模量理论在耐压壳极限强度计算问题上的有效性和适用范围,为深潜器的初步设计提供参考.

A Modulus Algorithm Analysis of Ultimate Strength of Pressured Hull for Deep Sea Submarine

By introducing the symmetrical hypothesis of spherical shell deformation under pressure, the theoretical expression of pressured spherical shell was simplified to plate model. By using a parameter, a uniform expression was obtained with the modulus factor curve and other multi modulus theories. Based on the stress strain curve, the modulus factor curve and its analytical expression were obtained. Take the tangent modulus theory and double modulus theory as examples, the two theories were applied to calculate the pressure capacity of Ti alloy spherical hull. The calculated values were then compared with the experimental datum. Finally, the validity and applying scope of the ultimate strength for pressure hull calculation were obtained, providing a scientific reference for the early design of deep sea submarine.