摘要
根据拉格朗日方程法,给出自由度缩减原理,将具有一个转动自由度的半正定系统缩减一个自由度,转化成正定系统,刚度矩阵不再奇异,采用状态空间法求解系统在时域上的强迫振动响应,其角位移结果能够直观的反映出系统的振动特性,对结果进行比对分析。
To derive the principle of DOF reduction according to the lagrange equation, the positive semi-definite system with rotational freedom can be reduced a freedom and transformed to the positive definite system, the stiffness matrix will not be singular, after that the state space method is used to solve the forced response of system in the time domain, and angular displacement results can directly reflect the vibration characteristics of the system, compare and analyze the results.
出处
《船舶工程》
北大核心
2013年第6期47-50,共4页
Ship Engineering
关键词
全回转推进器
轴系扭振
自由度缩减
状态空间
retractable azimuthing
torsion vibration
DOF reduction
state space method