摘要由于工件本身长径比较大，在车削过程中又受到自身重力和切削力的影响，容易产生 弯曲变形，导致车削出来的工件表面粗糙度比较高，精度达不到图纸的要求。因而车削弯 曲变形一直是机加工领域研究热点问题之一，本文对车削弯曲变形展开试验和理论研究， 这对以后在车削加工过程中减少误差以及保证工件的加工精度具有重要的指导意义。首先， 运用奇异函数的相关理论来表示有无顶针约束时工件的弯矩方程，利用积分法及奇异函数 的运算法则推导出车削工件的弯曲变形方程。然后在 Mathcad 软件中编程，分别求解有顶 针和无顶针约束时工件时变的弯曲变形方程，并绘制出工件在移动车削载荷作用下的变形 曲线。对比分析在不同移动速度和切削深度下工件变形曲线的变化规律。最后通过车削试 验利用电涡流式位移传感器来测定车削过程中工件的变形量，再根据车削工件自由端的动 态变形时域曲线，分析最大位移及位移均值，绘制不同车削参数下工件的弯曲变形曲线并 进行比较。73964

该论文有图 47 幅，表 10 个，参考文献 33 篇。

毕业论文关键词：车削工件 弯曲变形 奇异函数 Mathcad

Theoretical and Experimental Research on bending deformation of turning workpiece

Abstract Due to the workpiece itself and the length to diameter ratio is high, in the turning process by the effects of gravity and cutting force, can easily lead to bending deformation, resulting in turning out of the workpiece surface roughness is relatively high, precision is not up to the drawing requirements。 Thus turning flexural deformation has been one of the hot issues in machining field of research, the turning flexural deformation test and theoretical research, and the later in the turning process reduce error and guarantee the workpiece machining accuracy has important guiding significance。 First, using the theory of singular function to represent a thimble constraints of the workpiece bending moment equation, the integral method  and  singular function algorithm are turning workpiece bending deformation equation。 Then in Mathcad software programming, respectively, to solve thimble and the thimble constrained workpiece becomes bending deformation equation, and workpiece in a moving turning load deformation curve is plotted。 The change law of the deformation curve of the workpiece under different moving speed and cutting depth is compared and analyzed。 Finally through the cutting experiment using eddy current displacement sensor to measure the deformation of the workpiece in the turning process, again according to the free end of the turning workpiece dynamic deformation curve in time domain and analysis the maximum displacement and displacement mean, drawn under different cutting parameters workpiece bending deformation curve and compared。

Key words：Turning workpiece Bending deformation Singularity function Mathcad

目录

摘要 I

Abstract II

目录 III

图清单 IV

表清单 V

变量注册表 V

1 绪论 1

1。1 研究背景以及研究意义 1

1。2 国内外研究现状 2

1。3 研究目的与技术路线 5

2 奇异函数及 Mathcad 简介