刚度矩阵法的机床典型结合面建模及动态分析研究

摘要机械结合面作为机械系统中一种固有的结构形式，由于它在外加载荷的作用下表现出既有弹性又有阻尼的复杂动力学特性，对机械系统整体的动态性能产生显著的影响。滚珠丝杠结合面是典型的机械结合面，具有摩阻小、效率高、轴向刚度大、运动平稳、传动精度高、寿命长等突出特点。目前，滚珠丝杠副在机床工业、汽车工业、自动控制系统、航空工业、船舶工业和兵器工业等都得到了广泛的应用。47304

本文主要对滚珠丝杠副中丝杠螺母结合面刚度矩阵的求解方法进行了阐述，获取了丝杠螺母结合面的刚度矩阵，矩阵中不仅包含三个坐标轴的位移刚度和扭转刚度，还包含轴向刚度和轴向扭转刚度的耦合项，提高了丝杠螺母结合面建模

的精度。利用求得的刚度矩阵建立了滚珠丝杠有限元模型，并进行了模态分析；对滚珠丝杠副进行模态测试，利用实验测试结果与有限元仿真结果对比验证丝杠螺母结合面刚度矩阵求解方法与滚珠丝杠副建模方法的正确性。实验表明：基于刚度矩阵法的滚珠丝杠结合面建模具有较好的准确性。通过刚度矩阵来建立滚珠丝杠副模型具有普遍的适用性，可以按照不同的滚珠丝杠副进行简便的修改。通过这种方法来建立滚珠丝杠副在有限元软件中容易操作和实现，尤其是对于位移与转动之间耦合刚度的建立。

毕业论文关键词: 滚珠丝杠；刚度矩阵法；有限元建模

Abstract

Mechanical Joints are natural structure of all Mechanical System. When be loaded with force, it behave complex dynamical characteristic with damping and elasticity and affect so much dynamical characteristic of Mechanical System.The ball screw joint surface is a typical mechanical joint surface,small friction, high efficiency, axial rigidity, smooth motion, high driving accuracy, long life and so prominent characteristics. At present, the ball screw vice have been widely used in machine tool industry, automobile industry, automatic control system, the aviation industry, shipping industry and weapons industry .

This paper focuses on the ball screw vice combined with the surface of the stiffness matrix method of solving the elaboration, get the ball screw nut combined with the stiffness matrix, matrix not only contains three coordinate transformation of displacement stiffness and torsional rigidity, also contains axial stiffness and axial torsion stiffness coupling term, so it improves the ball screw nut combined with surface modeling precision. Using the stiffness matrix to establish the ball screw of finite element model, and the modal analysis; On the ball screw vice modal test, using the test results and finite element simulation results to contrast whether test ball screw nut combined with surface stiffness matrix solution and the ball screw vice modeling method is correct. It is showed that the method based on stiffness matrix of the ball screw joint surface modeling has good accuracy. Through the stiffness matrix to establish the ball screw vice model has the universal applicability, can according to different the ball screw vice for handy revision. The method to establish the ball screw vice in finite element software is easy to be realized and operated, especially for displacement and turn the establishment of the coupling between stiffness.

Keywords: ball screw;Stiffness matrix method; finite element modeling

第1章绪论 1

1.1 引言 1

1.2 机械结合面研究的重要意义 1

1.3 滚珠丝杠副的介绍 2

1.3.1滚珠丝杠副组成及结构参数 3

1.3.2滚珠丝杠副特性及安装支撑方式刚度矩阵法的机床典型结合面建模及动态分析研究:http://www.youerw.com/jixie/lunwen_49477.html