摘要
纤维缠绕环形容器可充分利用空间,节省结构质量和消除系统质心漂移,目前在很多工业领域中发挥着日益重要的作用。本文基于复合材料层合理论和测地线缠绕原理,提出了纤维缠绕环形压力容器的线型优化设计方法。应用微分几何,导出了圆环面上测地缠绕轨迹和纤维不架空判据。以初始缠绕角和缠绕层厚度为变量,对结构重量进行最小化设计,得到了对应于不同管径比的优化缠绕线型。对优化线型进行了计算机缠绕仿真,并给出了缠绕铺层的各向正轴应力分布。结果表明,优化设计的缠绕线型模式精确可靠,满足纤维缠绕的基本要求。纤维缠绕角度大小更趋于合理,从而能充分发挥缠绕结构的力学性能,减经系统重量,使优化得到的环形容器结构性能比传统测地线缠绕环形容器有很大提高。本文的设计计算方法可直接用于复合材料环形气瓶的初步设计。
Composite toroids have emerged as an attractive alternative in many industrial fields where space-saving,weight reduction and non-drift of center of mass are required.This paper aims to determine the optimal winding trajectories for geodesically overwound toroidal pressure vessels,and to demonstrate the favorable performance of the present design method.With the aid of the continuum theory and the geodesic winding law,the equations that determine the required winding trajectories on torus are derived.The general criteria for avoiding fiber bridging on a torus are formulated,based on differential geometry.Next,the initial winding angle and the thickness at the equator are considered as the design variables,while the minimum structural mass acts as the objective function.The optimal geodesic trajectories,corresponding to various relative bending radii,are determined to evaluate the effect on the structural performance of toroids.The stress field is modeled using classical lamination theory and the Tsai-Wu tensor theory is employed as the failure criterion for an individual layer.Results show that the optimization algorithm is efficient and convergent to stable solutions while the optimal winding path obtained does satisfy the requirements for the manufacturing process.Results also indicate that filament-wound toroids designed using the present method show better performance,mainly triggered by maximum utilization of the laminate strength as compared to conventional geodesics-based toroids.The recommended design-oriented method can easily be applied during preliminary dimensioning and optimization of filament-wound toroidal pressure vessels.
出处
《材料工程》
EI
CAS
CSCD
北大核心
2009年第S2期413-419,433,共8页
Journal of Materials Engineering
关键词
复合材料压力容器
纤维缠绕
圆环面
测地线
经典层合板理论
Composite pressure vessels
Filament winding
Toroids
Geodesic winding
Classical lamination theory
