精细积分法在曳纲动态仿真中的应用研究

Precise Integration Method Application in Dynamic Simulation of Wrap

为实现拖网渔船曳纲的三维动态仿真,采用集中质量法建立曳纲的水动力数学模型,将曳纲在空间上离散为一系列质量点,这些点通过无质量弹簧相连,忽略曳纲的扭转、抖动等,根据牛顿第二定律建立曳纲运动控制方程,通过指数矩阵精细积分法对曳纲的非线性动力学微分方程组进行求解,得到曳纲的位置和速度信息,从而进行曳纲动态可视化。该数值方法具有很高的精度和效率以及较大的适用范围,数值计算的结果与相关实验数据比较证明了该方法的有效性。

A three-dimensional hydrodynamics mathematical model was proposed to describe the behavior of warp in order to realize the real-time visualization of trawler warp. The model of warp was established according to lumped mass method, which discreted warp into a series of nodes in space, while ignoring the twist, shake, etc,. By the index matrix of precise integration method solving the nonlinear dynamic equations of the warp,the information of position and velocity could be obtained.Thus the dynamic visualization of warp was realized. The iterative algorithm has very high accuracy and efficiency, and a wide rage of application. Comparing the results of numerical calculation and associated experiment data,it is showed that the numerical solving method of warp model demonstrates the validity and efficiency.