纤维缠绕圆锥壳体设计分析

以纤维缠绕结构的网格理论为基础,建立了纤维缠绕圆锥壳体在内压作用下的平衡方程。求解该方程,得到了纤维应力、纤维厚度和均衡缠绕角的解析解。对螺旋加环向缠绕,从圆锥大端到小端,纤维厚度和均衡缠绕角逐渐增大,纤维应力逐渐减小。利用最大应力强度准则,得到了单一螺旋缠绕及螺旋加环向缠绕圆锥壳体爆破压强的计算公式。为了使计算的爆破压强与实际结果相符合,纤维发挥强度的选取必须由模拟实验确定。

Analysis on design of the filament-wound conical case

Based on the netting theory for the filament-wound structure,the balanced equation of the filament-wound conical case under internal pressure was derived.The analytical solution of fiber stress,thickness and equalization wound angle were obtained by solving the balanced equation.For spiral direction plus circumference direction winding,fiber thickness and equalization wound angle of the conical case can increase,and fiber stress can decrease gradually from big-end to small-end of the conical case.The calculation formulae of burst pressure of the conical case with spiral direction plus circumference direction winding as well as with single spiral direction winding were obtained by means of the maximum stress criterion.In order to make calculated results coincide with actual results,the developed fiber strength must be determined by the simulation test.