双轴振动筛刚体平面运动的几何解析方法  

Geometric analytic method on rigid body planar motion of two-shaft vibrating screen

作　　者：王新文[1] 胡云龙[1] 马超[1] 王召召[1] 白金峰[1] 蒋武学 吴阳[1] 

机构地区：[1]中国矿业大学(北京)化学与环境工程学院,北京100083

出　　处：《煤炭学报》2014年第5期971-975,共5页Journal of China Coal Society

摘　　要：为了简化振动筛的刚体平面运动的力学数学模型,利用曲柄连杆将其进行了等效——曲柄矢量合成为振动筛质心位移,连杆与其滑移轴线的夹角代数和等于振动筛绕质心转动的角位移,明确了曲柄长度决定振动筛质心振幅,连杆长度决定振动筛的摇摆程度,进而推得偏心质量矩大小及其安装位置的设计参数。根据振动筛角位移等于0,给出了振动筛只做平动的充分必要条件;求出了转动筛的速度、加速度瞬心,结合质心速度、加速度,给出了转动筛任意点速度、加速度的求解方法,为振动筛设计及物料运动的分析提出了一种简单方法。In order to simplify the mechanics and mathematical model of the vibrating screen rigid body plane motion, in this paper it is equivalent to vibrating screen motion by using the crank connecting rod, crank vector synthesis is equal to the centroid displacement of vibrating screen, angle between the connecting rod and its sliding axis is equal to the vibrating screen rotation angle around the mass center, the method is simple and intuitive, pointed out the crank length determine mass centroid amplitude,length of connecting rod determine the swing degree of the vibrating screen, and therefore got the size of eccentric mass and its installation location which was the design parameters. According to the vibrating screen rotation angular was zero, gave the sufficient and necessary conditions of vibrating screen that the vibrating screen was only to do translational motion. According to the velocity and acceleration of the vibrating screen instantaneous center, and the velocity and acceleration of the mass center, gave the calculating method of the velocity and acceleration of the arbitrary point on the vibrating screen, a simple method was proposed that was the basis of the vibrating screen design and material movement analysis.

关 键 词：振动筛 几何解析法 曲柄连杆 速度 加速度 

分 类 号：TD452[矿业工程—矿山机电]