锚链多体系统最优化求解方法及其对比分析

为了在不添加额外方程或判断条件的情况下，求解锚链多体系统悬链和卧链共存的状态，提出利用最优化原理描述静态锚链多体系统的状态方程，即最小势能方程，并与传统的悬链线方程和多体系统一般力学方程进行对比分析。结果表明，该方法不需要进行复杂的受力分析，形式简单且物理意义明确。数值计算结果与传统方法在计算悬链时是一致的，且可在统一的框架下计算悬链和卧链同时存在的状态。

Optimization Solution Method and Comparative Analysis of Anchor Chain Multi-Body System

In order to solve the coexistence of catenary chain and ground chain in anchor chain multi-body system without adding the additional equations or judgment conditions, it is proposed to describe the state equation of static anchor chain multi-body system, namely the minimum potential energy equation, with the optimization principle, and the comparative analysis with the traditional catenary equation and general mechanical equation of multi-system is made. The results show that the method is simple in form and clear in physical meaning without the complicated force analysis. The numerical calculation results are consistent with the traditional method in the catenary calculation, and the coexistence of catenary chain and ground chain can be calculated under a unified framework.