薄型锯片锯切硬脆石材横向振动模型  

Analytical Model of Transverse Vibration of Thin Type Circular Saw in Sawing Hard and Brittle Stone

作　　者：白硕玮[1] 张进生[1] 王长会 王志[1] 黄波[1] 程鹏[3] 

机构地区：[1]山东大学高效洁净机械制造教育部重点实验室,济南250061 [2]现代农装科技股份有限公司,北京100083 [3]机械科学研究总院,北京100044

出　　处：《农业机械学报》2015年第2期372-378,371,共8页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家高技术研究发展计划(863计划)资助项目(2012AA0202);山东省科技发展计划资助项目(2010G2X20604)

摘　　要：分析了金刚石圆盘锯锯切石材过程中节径型横向振动的形成原因,发现行波振动中锯齿边缘的波动变形导致了锯切力形成附加轴向力。在与锯片同转速的旋转坐标系下推导了轴向附加力的数学模型,进而建立了石材锯切过程中锯片横向振动模型。基于Newmark方法设计了振动模型的求解算法,并编写了仿真程序。为了验证模型的有效性,进行了石材加工生产现场锯片的横向振动监测实验,对锯片不同位置、不同工艺参数下的横向振动值进行了测量。6组振动模型的计算结果与对照实验结果的误差不超过13%,验证了模型的有效性。Based on analysis of the reason of nodal diameter transverse vibration of thin type circular saw in sawing the stone, it was found out that the wave of the wavy deformation of traveling wave on the saw edge led to the additional axial force of sawing force. The mathematical model of axial additional force was deduced by traveling wave theory in a rotating coordinate system with the same rotational speed as the diamond circular saw, and then the transverse vibration model of diamond saw blade was built by using the thin plate theory of elastic mechanics. The model was pretreated by using complex analysis theory and some proper mathematical methods. The solving algorithm for transverse vibration model and the simulation program were designed based on the Newmark method. In order to verify the validity of the model, a transverse vibration monitoring experiment was completed in the stone producing spot. The transverse vibration of two positions of the diamond saw blade was measured under different process parameters. The error between simulation result and experimental result was less than 13% , therefore, the correctness of the model was verified. The established transverse vibration model could provide theoretical support for optimization of saw blade structure, design of sawing machine tool, noise reductionin sawing process and improvement of the machining surface quality.

关 键 词：金刚石圆锯片 轴向分力 横向振动 数学模型 Newmark算法 

分 类 号：TG717[金属学及工艺—刀具与模具] TH122[机械工程—机械设计及理论]