关键词: 曳纲, 集中质量法, 非线性动力方程, 精细积分

Abstract: 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.

Key words: wrap, lumped mass method, nonlinear dynamic equations, precise integration method