基于有限元模型的喷气涡流纺纤维运动轨迹模拟

Simulation of fiber trajectory in jet vortex spinning based on finite element model

为模拟喷气涡流纺气流加捻过程中自由端纤维的运动轨迹,针对喷气涡流纺气流加捻过程中自由端纤维柔性体的动力学特点,基于弹性细杆单元建立纤维有限元模型,结合喷气涡流纺气流加捻腔内流场的气压、速度分布特征,确立自由端纤维柔性体有限元动力学微分方程,遵循力学平衡、能量守恒、质量守恒和动量守恒等原理,解析自由端纤维柔性体有限元动力学微分方程的待定系数,数值模拟自由端纤维在加捻腔内高速旋转气流作用下的运动轨迹;利用示踪纤维法对有限元模拟纤维运动轨迹的理论结果进行验证。结果表明,基于弹性细杆单元的有限元模型对于模拟纤维运动轨迹具有一定可行性和有效性。

In order to simulate the trajectory of the free-end fiber during the air flow twisting process of jet vortex spinning, the finite element model of the fiber was established based on the elastic thin rod element, combined with the moving characteristics of the flexible free-end fiber. According to the air pressure and velocity distribution in the airflow twisting chamber of jet vortex spinning, the finite element kinetic differential equation of the free-end fiber was established. Then following the principle of mechanical equilibrium, energy conservation, mass conservation and momentum conservation, the undetermined coefficients of the finite element kinetic differential equation of the free-end fiber was analyzed. Then based on the numerical simulation, the trajectory of the free-end fiber was acquired. Finally, the theoretical result of the free-end fiber trajectory by finite element simulating was tested by the tracer fiber method. The results show that the finite element model based on the elastic thin rod element is feasible and effective for simulating fiber trajectory in jet vortex spinning.