广义α算法在拖曳阵列动态仿真中的应用

Application of the generalized-α method in dynamic simulation of a towed array

针对有限差分Box method时间域上变量离散求解非线性拖缆动力学方程存在不稳定的性缺点,在求解拖缆方程时在时间域上采用广义α算法,并保留在空间域上有限差分Box method的离散方法.将新算法应用于三维非线性拖缆动态方程仿真求解,通过对目前几种常用算法的仿真实验对比分析,表明新算法不仅具有较高的计算精度,而且计算时间短、稳定性好,为求解非线性拖缆方程提供了一个较好的求解方法,可以应用到实际应用中,对准确预报拖曳阵列在各种状态下的运动规律具有重要意义.

The box method has had significant instability problems in solving the nonlinear cable dynamics equations in ocean engineering application.In order to overcome this disadvantage,a new procedure was used to retain the box method＇s spatial discretization,but the generalized-α method was employed for temporal discretization.The stability and accuracy of the generalized-α method,as applied to the three-dimensional cable dynamics equations,were developed.Numerical solutions demonstrate that compared to the other algorithms commonly used in cable problems,the new scheme not only has a higher accuracy,but also takes less computing time and exhibits superior stability properties.Therefore,it provides a good method for solving nonlinear towed cable equation and can be used in practical applications.It has very important significance in accurately casting the cable movement rule of various moving states.