连铸机振动系统动态性能分析及其谐振现象研究

DYNAMIC CHARACTERISTICS ANALYSIS AND RESONANCES RESEARCH ON MOLD OSCILLATOR MECHANISM FOR CONTINUOUS CASTING

建立了集几何非线性和载荷非线性于一体的连铸机四偏心式多连杆振动机构运动弹性动力学分析力学与数学模型。将该系统划分为６个广义子结构，分别应用变截面梁单元和集中参数法建模。考虑了碟形平衡弹簧非线性、导向板弹簧几何非线性、铸坯摩擦力，以及传动轴扭转刚度等多种因素。给出了系统方程装配的位移协调关系式。发现了该系统存在明显的复杂谐振现象，讨论了该谐振现象的成因。

：The mechanical and mathematical models for the kineto-elastodynamic analysis of a multiple linkage oscillator mechanism with four-eccentric axis used in continuous casting machine are presented. In order to reduce the degrees of freedom, the lumped parametric method and variation section beam elements are introduced. The following effects are considered in the established model：the nonlinear resistance of plate balance springs and mold/slab friction during casting, the geometric non-linearity of leaf-spring band due to large deflection, and the torsional stiffness of transmissions axis. The generalized displacement coordinate relationships for assembling system's governing equations are described. By means of time-frequency analysis it is found that complex resonances exist in this system, and the reasons of which are studied.