摘要
应用拉格朗日方程,得到柴油机轴系受气体冲击力与水冲击动力作用的非线性扭转振动微分方程。根据非线性振动的多尺度解法,求得在飞轮匀速运转条件下柴油机轴系受水冲击动力引起的主参数共振一次近似解,给出柴油机轴系发生主参数共振的参数条件,并进行数值计算,得到主参数共振幅频响应曲线。分析了水冲击动力对主参数共振幅频响应曲线的影响。主参数共振幅频响应曲线由两分支曲线组成,共振区较大。调节阻尼系数可以避免主参数共振的发生。基于Simulink建立了系统仿真模型并进行仿真分析,结果表明柴油机轴系受水冲击动力引起的主参数共振处于稳定状态。
The nonlinear torsional vibration differential equation of a marine diesel shafting subjected to impact force of expansion of vapour and water is established by means of Lagrange equation. According to the method of multiple scales for a nonlinear vibration, the first approximate solution and parametric condition of primary parametric resonance under constant speed operation of flywheel of the system and numerical results are obtained. The amplitude frequency response curves of the system are acquired. Numerical results on the influences of the impact force of water on the amplitude frequency response curves of the system are analyzed. The amplitude frequency response curve of primary parametric resonance is formed by two branches. It has a larger resonance zone. Adjusting damping can avoid the occurrence of primary parametric resonance. A simulation model of the system is established using Simulink and the simulation is carried out. It is pointed out that the primary parameter resonance of the system is in a stable state.
出处
《工程力学》
EI
CSCD
北大核心
2013年第B06期333-337,共5页
Engineering Mechanics
关键词
柴油机
轴系
多尺度法
水冲击动力
主参数共振
marine diesel
shafting
the method of multiple scales
impact force of water
primary parametricresonance
