简谐力矩作用柴油机轴系的主共振

Primary Resonance of Diesel Shafting Subjected to Harmonic Moment Excitation

应用拉格朗日方程,得到了柴油机轴系的非线性振动微分方程,根据非线性振动的多尺度解法,求得系统满足主共振情况的一次近似解,并对其进行数值计算,绘制系统相图、时间响应曲线,分析外激力、谐调值等对系统的影响。

The nonlinear vibration differential equation of diesel shafting is established by means of Lagrange equation. According to the method of multiple scales for the nonlinear vibration the first approximate solution of primary resonance of the system is obtained. Numerical analysis of the influences of the excitation, dunting parameter on the system are carried out.