径厚比对锥柱形金属膜片屈曲和后屈曲状态的影响

通过有限元方法研究了半径及径厚比对锥柱形金属膜片翻转过程的影响,并选取典型的半径及径厚比样本点对分析结论进行了数值验证.研究结果表明:膜片半径太小或太大均表现出一定的尺寸效应,小半径膜片的尺寸效应更显著;半径为203～403mm的膜片其屈曲和后屈曲状态表现出明显的一致性;对于确定半径的膜片,径厚比太大,膜片承载能力太小而导致翻转效率较低,径厚比太小,膜片屈曲载荷呈指数级显著增加而不易翻转,径厚比为160～400的膜片其翻转效率较好,并且后屈曲状态表现出一致性;选取典型的样本点对结论进行了数值验证,一致性较好.

Effect of ratio of radius to thickness on buckling and post-buckling behaviors of metallic spherical-cone diaphragms for positive expulsion tanks

Effects of radius and ratio of radius to thickness on positive expulsion process of metallic spherical-cone diaphragms were numerically analyzed by finite element method (FEM),and analysis results were verified by several typical samples of radius and ratio of radius to thickness.Numerical results were listed as follows:diaphragms of which the radiuses were too large or too small showed apparent scaling effect,and that of smaller radius was more markable;buckling and post-buckling equilibrium configurations of diaphragms of which the radiuses were from 203mm to 403mm were identical;expulsion efficiency of diaphragms of which the ratios of radius to thickness were too large or too small was low because of weak load-carrying capacity or buckling loads of diaphragms increasing as exponential series along with smaller ratios of radius to thickness respectively.However,expulsion efficiency of diaphragms of which the ratios of radius to thickness were from 160 to 400 was high,and post-buckling equilibrium configurations of those diaphragms showed the same trend.At last,numerical results of typical samples testified the above conclusions.