浮基多体系统在波浪中展开的数值模拟  

Numerical simulation for the expansion of floating-base multibody system excited by wave

作　　者：江召兵[1] 杜乃娟[2] 陈徐均[1] 洪娟[1] 

机构地区：[1]解放军理工大学工程兵工程学院,江苏南京210007 [2]工程兵指挥学院,江苏徐州221004

出　　处：《海洋工程》2011年第4期114-118,共5页The Ocean Engineering

基　　金：国家自然科学基金资助项目(51009147)

摘　　要：浮基多体系统在波浪中展开过程的顺序与快慢对系统的运动响应和连接处的力矩有较大影响。介绍了建立在齐次矩阵方法基础上的浮基多体系统时域运动求解,并对一具体浮基系统进行了建模和数值模拟,分析了上部机构以一定规律快速展开和慢速展开时系统的运动响应。结果表明,把齐次矩阵方法引入浮基多体系统的求解领域,其符号推导方便,运动学和动力学方程表达式变得相当简洁,而且编制程序也相对简便快捷。在相同波浪周期的情况下,多体系统的最大横摇角响应与波高正相关;在相同波高情况下,长周期的最大横摇响应要比短周期小;相对于波周期,波高对系统横摇响应的影响要大的多。The dynamics and the joint torque of the floating-base multibody system on wave greatly influence the expanding sequence and speed of upper parts.The homogeneous matrix method is introduced to solve the dynamics of floating-base multibody system at time domain.The result shows that by use of the method,the symbolic derivation becomes convenient,the expressions of kinematics and dynamics of the multibody system are succinct and the coding for computational simulation becomes simple and convenient.A four-body floating-base system is modeled and simulated using this method.And the dynamic responses are analyzed when the upper parts are expanded with fast or slow angular velocity according to a certain rule.The maximum rolling angle of floating-base is directly correlative with the wave height under the same wave period,the maximum polling angle of floating-base excited by wave with long period is smaller than that excited by wave with short period under the same wave height,and the dynamic response of floating-base multibody system is more affected by wave height compared with wave period.

关 键 词：浮基多体系统 多体动力学 齐次矩阵方法 展开 运动响应 

分 类 号：TV139.2[水利工程—水力学及河流动力学] O313.7[理学—一般力学与力学基础]