多圆弧凸轮接触点位置的计算机辅助求解

提出了一种简单有效的多圆弧凸轮机构瞬时接触点位置的计算机辅助求解方法,它通过分析凸轮与从动件的瞬时接触公法线与圆弧区域界线之间的相对关系来判断任一瞬时凸轮与从动件的接触点的位置、接触点处的曲率半径和曲率中心的位置,据此,可对凸轮机构进行高副低代和运动分析。该方法对于直动、摆动、尖顶、滚子、平底从动件凸轮机构均适用。应用被建议的方法对含平底摆动从动件圆弧凸轮的多功能家用缝纫机送料机构进行了运动分析及动态仿真,验证了该方法的有效性。     

直动从动件凸轮廓线曲率半径的CAD动画计算

用瞬心法对直动从动件凸轮机构进行高副低代得到了等效曲柄滑块机构，推导出了各速度瞬心之间的几何运动关系，论述了凸轮廓线曲率半径图解法的原理，介绍了高速、高精度地计算凸轮廓线曲率半径的CAD动画方法。     

Contact Stress Distribution of a Pear Cam Profile with Roller Follower Mechanism

The problem of this paper is the high contact stress at the point of contact between the cam and the follower.A pear cam and roller follower mechanism were studied and analyzed for different position of the follower and different contact compression load.The objective of this paper is to study the effect of contact compression load on the contact stress distribution of the cam profile at the point of contact.Four different positions of the follower with the cam was considered(0°,90°,180°,and 270°).The theory of circular plate was applied to derive the analytic solution of the contact stress.The numerical simulation had been done using ANSYS Ver.19.2 package to determine the contact stress,while SolidWorks software was used to investigate follower displacement,velocity,and acceleration.Four distinct values of the compression contact load,such as 3.121 N,6.242 N,9.364 N,and 12.485 N,were used in the numerical simulation.In the experiment setup,a photo-elastic technique was carried out in the field of polarized light to exhibit the stress distribution on the cam specimen.The annealed PSM-4 backalate material was used in the experiment setup.The experimental value of contact stress was checked and verified analytically and numerically at the point of contact.The innovation in this paper the use of spring-damper system which reduce the value of contact stress at the point of contact.The contact stress was maximum 2.136 MPa when the follower located at 270° with the cam,while the contact stress was minimum 1.802 MPa when the follower located at 180°at compression load 12.485 N.     

摆动平底从动件凸轮廓线曲率半径计算的新方法

摆动平底从动件凸轮机构经高副低代后 ,得到等效的导杆机构。利用三心定理及弗列登斯坦定理对等效的导杆机构进行运动分析后 ,可以得到确定凸轮廓线曲率半径的图解法。本文在图解法的基础上应用矢量运算法则推导出了摆动平底从动件凸轮廓线曲率半径的计算公式 ,分析了机构的主要尺寸及从动件的运动参数对曲率半径的影响 ,并通过实例验证了该曲率半径计算公式的正确性     

设计平面凸轮轮廓的新方法

提出了设计平面凸轮轮廓的相对运动法,这是一种适用于各种平面凸轮轮廓设计的通用方法。利用从动件相对凸轮运动的相对速度、相对加速度和从动件的表面法线确定平面凸轮的轮廓方程、压力角和曲率半径是该方法的基本原理。通过建立基于反转原理的通用模型、坐标系和齐次坐标变换技术,导出了平面凸轮的轮廓方程、压力角和曲率半径的一般表达式。该推导过程不仅适用于手工完成,而且为平面凸轮轮廓设计的智能化、自动化打下了基础。根据设计的自动推导和求解策略,用C++和OpenGL语言开发了计算机辅助设计程序实现了平面凸轮轮廓设计和机构运动仿真的自动化。最后,给出了设计和仿真实例。     

高副低代法求直动从动件盘形凸轮廓线的曲率半径

利用高副低代法导出直动从动件盘形凸轮廓线上任意点曲率半径的公式 ,该公式不仅先于凸轮廓线方程求出廓线的曲率半径 ,还显示了曲率半径和压力角之间的内在联系 ,从而直接把强度条件和传力性能结合起来考虑 ,有利于简化该种凸轮机构的优化设计。     

曲线拟合在求解凸轮曲率半径中的应用

曲率半径是凸轮轮廓曲线的重要参数,曲率半径的变化对凸轮机构的运动稳定性有较大的影响。目前凸轮廓线曲率半径的计算方法大多数要求已知凸轮机构的结构参数和凸轮从动件运动规律,而且计算繁杂。详细介绍了曲线拟合中最小二乘法在求解凸轮轮廓曲率半径的使用,通过离散点的几何关系得到拟合曲线,求出曲率半径,然后通过例题结果对比,证明这种方法可行。     

弧面凸轮廓面三坐标机测量与传动质量评价

在分析了弧面凸轮廓面数学模型的基础上,利用三坐标测量机对弧面凸轮廓面进行了等径点位测量,并提出了一种逐点比较法,将所有的测量数据用于确定凸轮坐标系与测量坐标系的位置关系。用非均匀B样条曲线拟合所有凸轮坐标系中的点坐标数据,由拟合曲线和滚子共轭运动的啮合方程求解实际共轭运动,从而评价弧面凸轮廓面的传动质量。最后,通过一个检测实例验证了该算法的正确性和可行性。     

凸轮机构综合与分析的接触条件法

以从动件与凸轮轮廓必须保持直接接触的约束条件建立位置方程,再通过位置方程对凸轮转角的求导,导出了轮廓极径的一、二阶导数与从动件类速度和类加速度之间的关系方程;利用上述方程,根据已知的凸轮轮廓,确定出从动件运动量的变化规律,并按照取定的从动件运动规律,导出了凸轮的轮廓方程和曲率半径等参量。     

设计盘形凸轮廓线的相对速度法

提出了一种利用凸轮与从动件的相对速度设计盘形凸轮轮廓的新方法，该方法基于从动件和支承绕凸轮轴线反转的原理，利用从动件上的接触线或者滚子轴线相对固定凸轮的速度和凸轮与从动件的几何关系设计盘 形凸轮轮廓，应用该方法导出了四种不同类型凸轮机构的凸轮廓线的解析表达式，并给出了对应的设计实例。     

按许用压力角设计最小尺寸的摆动从动杆平面凸轮的解析法

关于按许用压力角设计最小尺寸的摆动从动杆平面凸轮机构的课题,至今未获得圆满解决。作者按微分几何的包络原理导出限制这种凸轮最小尺寸的界线方程式,据此可在电子计算机上图象显示凸轮轴心的容许区域或者直接计算其最小基圆半径和摆杆长度。文中将这种方法应用于锁合凸轮、槽道凸轮及共轭凸轮。     

支撑函数在负半径滚子从动件盘形凸轮机构中的新应用

将"支撑线"、"支撑函数"等概念向新型凸轮机构做引伸和推广,得到了凸轮轮廓曲率半径、外凸判据、参数方程、周长和面积等一整套通用计算公式,将"支撑函数法"发展成为平底/负半径滚子从动件盘形凸轮机构共享的研究框架.     

A computer-aided method for optimum design of plate cam-size avoiding undercutting and separation phenomena—II: Design nomogramsEine rechnergestützte methode zur konstruktion optimaler kurvengetriebe ohne unterschnitt und anheben der rolle. Teil 2: Konstruktionsnomogramme

This study presents design nomograms which make it easy for the cam designer to estimate the limiting value of the investigated parameter which can be applied to a plate cam follower system, as long as the maximum contact stress between the cam and follower during both rise and return strokes of cam revolution can be determined. The undesirable phenomena of the undercutting of cam profile and the separation between the cam and the follower are taken into consideration. Moreover, these design nomograms give correlations between the investigated parameters and the optimum plate cam size and also are used to study the influence of an investigated parameter on this size. The optimum plate cam size is the combination of cam base circle radius and the amount of cam follower offset, and satisfies the suggested design procedure which is based on taking the contact stress as a design criterion. The investigated parameters are dynamic, kinematic, geometric and material. A brief discussion on using the suggested design procedure to design the size of plate cam is described. For a numerical example, the presented design nomograms are for reciprocating cam-roller-follower which operated by parabolic plate cam.     

凸轮机构中凸轮廓线设计的新方法

为确保从动件输出端的准确运动规律、减少高速运动时的冲击,建立凸轮机构的动力学系统模型和相应方程,导出从动件输出端的运动规律下凸轮与从动件接触处的运动规律,以此为依据设计了凸轮轮廓曲线,并讨论了机构工作频率对凸轮廓线的影响,为设计高速凸轮机构提供了可靠的依据。     

采用实际模型对自动齿轮箱凸轮作动器的效率和磨损的研究

本文研究自动齿轮箱凸轮作动器的效率和磨损,着重于接触动力学。采用罚函数方法仿真凸轮和从动杆间接触,该模型基于有限元与连续弹性基础梁理论近似。采用Hertz理论考虑凸轮和从动杆间相对运动时主要曲率的变化计算基础模量。为比较接触力和不同凸轮轮廓的磨损,该模型仿真概括了整个档位。     

空间同心滚子从动件凸轮机构的啮合计算公式

本文将直动从动件圆柱凸轮、蜗杆凸轮等归为一类，用共轭曲线原理导出了它们的精确的啮合计算公式，如压力角、凸轮工作曲面方程、相对速度、沿接触线法线方向的诱导法曲率等。这些公式为提高这类凸轮的设计质量，建立它们的ＣＡＤ系统提供了基础。     

平底从动件盘形凸轮机构的通用算式

针对平底从动件盘形凸轮机构,导出了同时适用于直动和摆动从动件的凸轮廓线综合公式及凸轮实廓外凸的条件式。     

支撑函数法在作平面复杂运动平底从动件盘形凸轮机构设计中的应用

应用支撑函数法，推导了两种型式的作平面复杂运动平底从动件盘形凸轮机构凸轮廓线的曲率半径、外凸性判据、参数方程、周长及凸轮面积的通用计算公式。     

基于ADAMS的共轭凸轮机构仿真分析

本文以凸轮摆式剪切机中的凸轮剪切机构为研究对象,对摆动从动件共轭凸轮机构进行理论分析,在3维CAD 软件Solidworks中建立凸轮机构模型。以ADAMS的碰撞仿真理论为基础,对机构进行动力学仿真分析,得出凸轮与摆杆之间接触力、凸轮主轴所受力以及凸轮与摆杆之间间隙随凸轮转动的变化规律曲线,并对凸轮与摆杆之间的共轭情况进行了分析。本文对摆动从动件共轭凸轮机构的合理设计和结构参数的优化设计具有一定的参考价值。     

Transient elastohydrodynamic lubrication film thickness in sliding and rolling line contacts

The contact behavior between cam and follower is greatly influenced by the kinematics and dynamics of the whole valve train system. This is the reason that both shape and thickness of the fluid film in the contact gap are mainly determined by applied loads and relative contact speeds as well as the curvatures of contacting elements. Most of the studies about lubricant film behavior between cam and follower have been performed without a consideration of transient effects in the contact gap. For the computational difficulties of transient effects, most contact conditions such as relative contacting speeds have been regarded as quasi-steady state during the whole operating cycle. In this work, in order to obtain stable convergence, a multigrid multi-level method is used for the computation of load capacity in the lubricant film. Nonlinear valve spring dynamics are also considered in the same way as Hanachi’s. From the computational results, transient EHL film thicknesses under the conditions of different contact geometries are computed for a pushrod type valve train system during an engine cycle. Several results show the squeeze film effect, which is generally not found with conventional EHL computations of the cam and follower contact. The results are also compared with those by the Dowson-Hamrock (D-H) formula, which does not consider the dynamic film effect. Without the dynamic film effect as in D-H’s formula, the minimum film thickness is highly dependent on the entraining lubricant velocity, whereas the minimum film thickness including the squeeze film effect is dependent on the applied load.