摘要
该文针对锥柱形贮箱膜片,选取不同的金属材料(纯钛、304L不锈钢、铝),系统研究了锥角为8°~12°时,金属贮箱膜片翻转过程中出现的结构屈曲和后屈曲状态,这一过程涉及材料与几何非线性。膜片在翻转过程中,当载荷增加至结构的临界载荷时,结构的切线刚度趋于零,传统的Newton-Raphson法难以追踪后屈曲平衡路径,通过弧长法,准确求解了结构的后屈曲平衡状态。数值计算得出:锥角对不同材质膜片的翻转行为的影响,304L不锈钢最显著,纯钛次之,铝最不显著;结构屈曲载荷及后屈曲状态时膜片的承载能力均随锥角的增加而减小;10°锥角为最优解,这一角度兼顾了膜片内部容积和翻转效率这两个因素。
Several materials,such as pure titanium,304L stainless steel and aluminum,have been chosen to model buckling and post-buckling behaviors of spherical-cone metallic diaphragms for positive expulsion tanks during reversal with different angles(8°~12°),which involve material nonlinearity and geometric nonlinearity.The tangential stiffness of structure will be zero while pressure loaded on the metallic diaphragms increases to the critical load during reversal;however,the Newton-Raphson method could not track the post-buckling equilibrium configuration.The problem has been solved by arc length method.Numerical results by finite element method demonstrate that angle takes the most significant effect on expulsion behavior of 304L stainless steel diaphragm,followed by pure titanium and aluminum.Buckling load and load-carrying capacity during post-buckling equilibrium configuration increase along with smaller angle.The optimum angle is 10°,which takes internal volume and expulsion efficiency of diaphragms into consideration.
出处
《工程力学》
EI
CSCD
北大核心
2013年第4期435-441,共7页
Engineering Mechanics
基金
国家973计划项目(61338)
关键词
金属贮箱膜片
锥角
弧长法
翻转
屈曲
后屈曲
metallic diaphragms for positive expulsion tanks
angle
arc length method
expulsion
buckling
post-buckling