碳纤维增强坩埚预制体缠绕线型轨迹研究

Study on winding shape trajectory of carbon fiber reinforced crucible preform

本文针对针刺碳/碳坩埚整体连续纤维不足和周向力学性能较差的问题,采用碳纤维增强缠绕碳/碳坩埚预制体。基于非测地线理论建立稳定缠绕方程,以切点法为基础,结合标准线法总结了非轴对称封头壳体的缠绕线型规律,推导出纤维均匀布满时的中心转角计算公式,建立了优化求解封头段滑移系数和圆柱段滑移系数的计算模型,提出了碳/碳坩埚预制体增强碳纤维缠绕的线型设计流程,基于等悬长约束条件,对四轴缠绕机各轴运功轨迹方程求解。对缠绕线型和缠绕机运动轨迹进行仿真,研究了切点数对缠绕线型及运动轨迹的影响。进行缠绕试验,结果表明:计算模型设计合理,纤维可以实现连续稳定缠绕,并且经过一定循环后实现均匀布满,验证了各轴运动轨迹方程的正确性和线型设计方法的可行性。

In order to solve the problems of insufficient continuous fiber and circumferential mechanical properties of needled carbon/carbon crucible,a prefabricated carbon/carbon crucible reinforced with carbon fiber was used.Based on the non-geodesic theory,the stable winding equation was established.Based on the tangential point method and the standard line method,the winding linear law of the non-axisymmetric head shell was summarized.The calculation formula of the center rotation angle when the fibers were uniformly filled was derived.The linear design process of carbon fiber winding reinforced by carbon crucible preform was proposed.Under the condition of equal suspension length,the work trajectory equations of four axis winding machine were solved.The effects of tangent points on winding line and winding machine trajectory were studied by simulation.The results of winding tests show that the fiber can be continuously and stably wound,and the fiber can be uniformly covered after a certain cycle.The correctness of the motion trajectory equation of each axis and the feasibility of the linear design method are verified.