摘要
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。
Dynamic model of the transmission system of non-sinusoidal oscillation driven by elliptical gears is built. And the differential equations of motion are deduced. The results suggest that the mass matrix, the stiffness matrix and the damping matrix of the transmission system vary with the configuration of the crank. It's a dynamic system with periodic time-varying parameters. Periodic solutions are gained by means of harmonic balance method. Also the dynamic stability of the solutions is considered. Based on the distinct characteristic exponent assumption and the Floquet theory, the formula to gain the characteristic exponent is deduced. From the characteristic exponents, the stability can directly be read. A solid foundation for solving the running smooth problem of the mold and for better applying of the oscillation device is provided.
出处
《机械传动》
CSCD
北大核心
2007年第5期19-23,共5页
Journal of Mechanical Transmission
关键词
连铸
结晶器
非正弦振动
椭圆齿轮
传动系统
动力学分析
周期解
稳定性
Continuous casting Mold Non-sinusoidal oscillationElliptical gears Transmission system Dynamic analysis Periodic Solutions Stability
