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以内燃机曲轴单位曲柄为研究对象,着重考虑刚度不对称和质量偏心的影响,建立了系统的非线性运动微分方程,利用数值方法对曲轴的非线性动力学特性进行了仿真.结果表明:随着质量偏心的增加,弯扭耦合区的范围增大,系统运动由周期运动变为概周期运动;随着刚度不对称系数的增加,系统出现环面倍化分岔,并转变为混沌运动;随着扭转刚度的增加,系统的运动趋于稳定.
Taking the crankshaft unit crankshaft of an internal combustion engine as the research object, the nonlinear kinematic differential equations of the system are established considering the influence of the asymmetry of stiffness and mass eccentricity, and the nonlinear dynamic characteristics of the crankshaft are simulated by numerical method. The results show that with the The mass eccentricity increases, the range of the bending-torsional coupling region increases, and the system motion changes from periodic to almost periodic. With the increase of the asymmetry coefficient of stiffness, the system appears toroidal bifurcation and changes to chaos; With the increase of torsional rigidity, the movement of the system tends to be stable.