变曲率绝热层挤压变形与缠绕压力控制

段鹏轩 侯增选 严文聪 张伟超 廉继杰

摘要：研究了固體火箭发动机燃烧室变曲率绝热层橡胶挤压变形机理，揭示、阐明了变曲率绝热层橡胶挤压变形规律，得到了缠绕压力沿胶带宽度方向的分布规律，并分析了缠绕压力分布对绝热层缠绕成型质量的影响。提出了基于 Hertz接触理论的变曲率绝热层表面橡胶挤压变形数学模型，建立了缠绕成型外加载荷与变厚度橡胶绝热层表面变形的关系。并使用有限元分析软件 ABAQUS针对多种真实缠绕情形进行了仿真模拟。结果表明，基于 Hertz接触理论的绝热层表面橡胶挤压变形数学模型可以较好地描述缠绕变形情况，通过该数学模型计算得到的缠绕压力值与仿真得到的缠绕压力值吻合度很高，从而验证了模型在其应用范围内的有效性。为绝热层缠绕成型粘接质量的控制以及轨迹规划提供了理论支撑，为后续恒压控制系统的设计提供了相关力学参数。关键词：绝热层;变曲率;Hertz接触理论;挤压变形;有限元

中图分类号：TB3             文献标志码：A

文章编号：1009-9492（2021）12-0033-05                          开放科学（资源服务）标识码（OSID）：

Extrusion Deformation of Heat Insulation withVariable Curvature and Winding Pressure Control

Duan Pengxuan1，Hou Zengxuan1※，Yan Wencong2，Zhang Weichao1，Lian Jijie1

（1. School of Mechanical Engineering， Dalian University of Technology， Dalian， Liaoning 116024， China;

2. Xi′an Aerospace Composites Research Institute， Xi′an 710025， China）

Abstract： The rubber extrusion deformation mechanism of the variable-curvature heat insulation of the solid rocket motor was studied， the extrusion deformation law of the variable-curvature heat insulation was clarified， the distribution of winding pressure along the strip width was obtained， and the influence of the pressure of the winding on the winding quality of the heat insulation was analyzed. Based on the Hertz contact theory， the mathematical model of the rubber extrusion deformation on the variable curvature surface of the heat insulation was proposed. The relationship between the winding pressure and the  surface deformation of the variable-thickness rubber insulation was established. Finite element simulations about a variety of winding situations was carried out using the finite element analysis software ABAQUS. The results show that the mathematical model of rubber extrusion deformation based on the Hertz contact theory can better describe the winding deformation. The winding pressure value calculated by the mathematical model is in good agreement with the value obtained by simulation， which verifies the validity of the model in its application range. It provides theoretical support for the control of the bonding quality of the heat insulation winding and trajectory planning， and provides relevant mechanical parameters for the subsequent design of the constant pressure control system.

Key words： heat insulation; variable curvature; Hertz contact theory; extrusion deformation; finite element

0 引言

固体火箭发动机燃烧室内绝热层是固体燃料与发动机壳体之间的一层由耐烧蚀材料组成的热防护层，可以通过在高温中不断分解和烧蚀降低燃烧室的温度，保证发动机在极端恶劣条件下仍能长时间可靠工作，在发动机工作时起着难以替代的重要作用。在绝热层的自动缠绕成型过程中，绝热层胶带由敷设头通过滚压缠绕在芯模上，由于受到芯模特征以及缠绕方式的影响，受到挤压的绝热层胶带被缠绕在曲率变化的复杂三维曲面上，变形比通常情况下复杂得多，对最终的绝热层成型质量以及质量稳定性影响较大[1-4]。……