摘要
多体浮式码头由很多小的浮体模块组成,浮体间通过连接件相连,连接件可提供吸引和排斥力,首尾两端用缆索锚泊于海底.不同于传统分析方法,将每一个浮体模块当做一个独立振子,引入两个相对独立的耦合参数来分别表示浮体间的吸引作用和排斥作用,再考虑波浪和系泊缆作用,得到多体浮式码头动力响应的非线性分析模型.以长度600米的链式四浮体码头为例,利用四阶Runge-Kutta法求解码头运动微分方程,得到码头的运动响应情况和最佳的耦合参数范围区间.数值结果发现,吸引和排斥耦合的相互作用使得多体浮式码头模型表现出丰富的动力学现象,比如幅值跳跃、滞后同步、反向同步等.最后,为进一步揭示耦合多浮体系统的集体动力学行为,引入一个相似函数,该函数可表征两时间序列的相关性强弱,从而判断多体浮码头响应同步化协同效应程度.该方法尝试从网络动力学的角度去研究多体浮式码头的非线性动力特性,为多体浮式码头的初步设计提供理论参考.
A multi-body floating pier are consisted by multiple flexibly connected modules and moored by the flexibly cables in the seabed.Different from the traditional analysis method,every modules are regarded as an independent oscillator,the two relatively independent coupling parameters are introduced to show the attraction and repulsion effect.Considering wave and mooring cable,the nonlinear analytical model of dynamics response for multi-body floating pier is presented.The motion response and the best coupling parameter range for four-modules floating pier of 600 mare obtained by using 4-order Runge-Kutta.In numerical simulation,multi-body floating pier model shows the abundant dynamic phenomena with the attraction and repulsion coupling,for example,the jump of amplitude,lag synchronization,anti-synchronization.Finally,in order to further reveal the collective dynamic behaviour of multi-body floating system,a similar function is introduced for characterizing the correlation of two time series.In the view of network dynamics,the nonlinear dynamic characteristics of multi-body floating pier is studied.This study can provide a theoretical reference for the design of the multi-body floating pier.
出处
《固体力学学报》
CAS
CSCD
北大核心
2016年第S1期29-33,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(11172334)
广东省自然科学基金(031552)资助
关键词
多体浮式码头
非线性动力特性
网络动力学
幅值跳跃
滞后同步
multi-body floating pier
nonlinear dynamic characteristics
network dynamics
the jump of amplitude
lag synchronization
