具有厚壁内衬圆筒的缠绕张力算法

缠绕张力作为缠绕工艺中的关键因素,其合理设计直接影响制品性能。针对缠绕张力的设计,提出缠绕张力算法。基于各向异性缠绕层弹性变形及各向同性内衬厚壁筒理论,给出外压作用下缠绕层的径向应力及环向应力;在弹性范围内采用应力叠加原理建立剩余张力与缠绕张力之间的解析算法。结合三种典型的张力缠绕模型,给出剩余张力具体关系式;分析等剩余张力,得到不同特例下的剩余张力解析公式。依据该解析算法研究芯模内、外径比及张力锥度系数对各向同性材料缠绕层剩余张力分布的影响,表明芯模内、外径比与锥度系数变化对缠绕层剩余张力分布有显著影响,且该文算法简单、合理、可靠;对各向异性复合材料缠绕层等剩余张力分析,其结果与现有网格理论结果一致,且该文缠绕张力上下层变化平缓,易于张力控制的实现。

ALGORITHM OF WINDING TENSION FOR CYLINDER WITH THICK-WALLED LINER

As a key factor in winding process, reasonable design of winding tension directly affects the performance of productions. An algorithm to design winding tension is proposed for the design of winding tension. Considering the deformations of mandrel, radial and circumferential stresses of winding layers under external pressure are obtained through analyzing on the basis of anisotropic composite elastic theory and isotropic thick-walled cylinder elastic theory. Within the scope of the elastic limit and based on the stress superposition principle, the analytic algorithm between residual tension distribution and winding tension is established. By analyzing three typical tension models of filament winding, residual tension formulas are given. Furthermore, according to these formulas, different analytical formulas of winding tension are estibilished through analyzing the uniform residual tension. The influence of inner to outer radius ratio of mandrel and taper coefficient on isotropic material residual tension distribution is investigated. The results indicate that changes of radius ration and taper coefficient have remarkable effects on residual tension distribution, while the algorithm to calculate the residual tension distribution is simple, reasonable and reliable. By analyzing uniform residual tension of the anisotropic composite, the result is found consistent with the existing netting theory, and the winding tensions of up and down layers change gently and are easy to be implemented.