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建立了椭圆齿轮驱动的结晶器非正弦振动传动系统动力学模型,推导了动力学方程。结果表明,椭圆齿轮驱动的结晶器非正弦振动传动系统的质量矩阵、刚度矩阵和阻尼矩阵都随曲柄位置变化,为一周期时变参数系统。采用谐波平衡法求解系统的周期解。基于单特征值假设和福洛开(Flo-quet)理论,推导了特征值求解公式,利用所求特征值可判断系统周期解的稳定性。本文的工作为解决结晶器振动平稳性问题,更好地应用该振动装置打下了基础。
The dynamics model of non-sinusoidal vibration transmission system of the mold driven by oval gear is established, and the kinetic equation is deduced. The results show that the mass matrix, stiffness matrix and damping matrix of the non-sinusoidal vibration transmission system driven by the oval gear are all changed with the position of the crank, which is a one-period time-varying parameter system. Using harmonic balance method to solve the system periodic solution. Based on the single eigenvalue hypothesis and the Flo-quet theory, the eigenvalue solving formula is deduced, and the stability of the system periodic solution can be judged by using the eigenvalues. In this paper, the work to solve the mold vibration stability problems, and better use of the vibration device laid the foundation.