纤维弹性细杆模型动力学分析的有限元方法及应用

Finite-Element Method and Application of Dynamic Analysis of Fiber Elastic Thin Rod Model

基于纺织工程中的气流辅助加捻纺纱,以弹性细杆作为纤维模型,讨论纤维空间大变形的动力学问题.采用空间杆单元有限元分析方法,对弹性细杆动力学分析的有限元模型进行简化,导出了弹性杆单元刚度方程和刚体质量单元动力学方程,然后综合出弹性细杆整体的动力学运动微分方程.节点坐标姿态采用欧拉四元素表示,导出了相关的坐标变换矩阵.以此方法对气流辅助加捻纺纱动力学模型进行实例计算.

Based on the airflow assisted twisting of yarn spinning in textile engineering, the dynamic problems of this model＇s spatial large deformation were discussed using the elastic thin rod as the fiber model. Using spatial bar finite-element method for the dynamic analysis of elastic thin rod model, the spatial bar element stiffness equation and the rigid body mass unit dynamic equation were derived, and then the kinetic differential equations of whole elastic thin rod were synthesized. Also, the related coordinate transformation matrices were obtained using the Euler quaternion for the determination of node coordinate attitude. As an example, the method was used in calculation of the airflow assisted twisting spinning dynamics model.