A fast detection algorithm for ceramic ball surface defects based on fringe reflection

A ceramic ball is a basic part widely used in precision bearings.There is no perfect testing equipment for ceramic ball surface defects at present.A fast visual detection algorithm for ceramic ball surface defects based on fringe reflection is designed.By means of image preprocessing,grayscale value accumulative differential positioning,edge detection,pixel-value row difference and template matching,the algorithm can locate feature points and judge whether the spherical surface has defects by the number of points.Taking black silicon nitride ceramic balls with a diameter of 6.35 mm as an example,the defect detection time for a single gray scale image is 0.78 s,and the detection limit is 16.5μm.

ANOTHER TYPE OF GENERALIZED BALL CURVES AND SURFACES

In 2000, Wu presented two new types of generalized Ball curves, one of which is called an NB1 curve located between the Wang-Ball curve and the Said-Ball curve. In this article, the authors aim to discuss properties of NB1 curves and surfaces, including the recursive algorithms, conversion algorithms between NB1 and Bezier curves and surfaces, etc. In addition the authors compare the computation efficiency of recursive algorithms for the NB1 and above mentioned two generalized Ball curves and surfaces.

High productive technique for polishing free surface with elastic ball type wheel on grinding center

Polishing is an important finishing process in die and mold manufacturing. Hand polishing takes long time and much labor. Efforts are made to automate the polishing process while keeping accuracy. Recently grinding centers have been developed, which are used for free surface polishing in the present work. The new polishing technique applies the same cutting locus as used in the cutting process to remove only cusp height effectively, keeping the form accuracy generated in the cutting process.

Automatic Detection of Steel Ball's Surface Flaws Based on Image Processing

A new method to detect steel ball's surface flaws is presented based on computer techniques of image processing and pattern recognition. The steel ball's surface flaws is the primary factor causing bearing failure. The high efficient and precision detections for the surface flaws of steel ball can be conducted by the presented method, including spot, abrasion, burn, scratch and crack, etc. The design of main components of the detecting system is described in detail including automatic feeding mechanism, automatic spreading mechanism of steel ball's surface, optical system of microscope, image acquisition system, image processing system. The whole automatic system is controlled by an industrial control computer, which can carry out the recognition of flaws of steel ball's surface effectively.

Study on Wheel and Workpiece Position Error Influence on Surface Shape Accuracy during Ceramic Ball Grinding

The reasons for bringing surface accuracy error in ultra-precision grinding ceramic ball joint were analyzed,and the influences wheel position error and shaft run-out error on the ball joint surface accuracy were discussed.Through establishing three-dimensional grinding model,the mathematical relationship between the position error and surface accuracy was derived,and the distance from any point on spherical surface to the ideal center was calculated when position error existed,and a precise surface shape was got,and theoretical support was provided to improve the surface accuracy during the grinding process.Using self-developed ultraprecision grinding machine to do the ceramic ball grinding experiment,the surface accuracy PV value of ceramic spherical joint is 4.8μm.

TIN_DDM Buffer Surface Construction Algorithm Based on Rolling Ball Acceleration Optimization Model

In view of the TIN_DDM buffer surface existing in the construction and application of special data type,algorithm efficiency and precision are not matching;the paper applied the rolling ball model in the process of TIN_DDM buffer surface construction.Based on the precision limitation analysis of rolling ball model,the overall precision control method of rolling ball model has been established.Considering the efficiency requirement of TIN_DDM buffer surface construction,the influence principle of key sampling points and rolling ball radius to TIN_DDM buffer surface construction efficiency has been elaborated,and the rule of identifying key sampling points has also been designed.Afterwards,by erecting the numerical relationship between key sampling points and rolling ball radius,a TIN_DDM buffer surface construction algorithm based on rolling ball acceleration optimization model has been brought forward.The time complexity of the algorithm is O(n).The experiments show that the algorithm could realize the TIN_DDM buffer surface construction with high efficiency,and the algorithm precision is controlled with in 2σ.

Improvement of Flat Surfaces Quality of Aluminum Alloy 6061-O By A Proposed Trajectory of Ball Burnishing Tool

Burnishing is a profitable process of surface finishing due to its ability to be automated,which makes burnishing method more desirable than other finishing methods.To obtain high surface finish,non-stop operation is required for CNC machine and we can attain that by choosing a suitable trajectory of the finishing tool.In other words,burnishing paths should be multidirectional rather than monotonic,in order to cover uniformly the surface.Indeed,the burnishing force is also a key parameter of the burnishing process because it determines the degree of plastic deformation,and that makes determining the optimum burnishing force an essential step of the burnishing process a success.Therefore,we consider the strategy of ball burnishing path and the burnishing force as variable parameters in this study.In this paper,we propose a new strategy of burnishing tool path with trochoid cycles that achieves a multidirectional burnishing of the surface according to various patterns.Taking into consideration the optimum burnishing force,to improve flat surface finish of AL6061-O samples by reducing the surface roughness parameter(Rz).Experiments carried out on 3-axis milling machine show that the proposed trochoidal path is more effective than the conventional one.

Application of Curved Surface of Ball Movement in Hydraulic Engineering

The curved surface of ball movement is a connecting bent pipe commonly used in hydraulic engineering. The curved surface poses a complicated problem with computation. The mathematic model of the circular curved surface of ball movement in engineering is set up by adopting the concept of envelope curved surface.

Existence of a Hölder Continuous Extension on Embedded Balls of the 3-Torus for the Periodic Navier Stokes Equations

This article gives a general model using specific periodic special functions, which is degenerate elliptic Weierstrass P functions whose presence in the governing equations through the forcing terms simplify the periodic Navier Stokes equations (PNS) at the centers of cells of the 3-Torus. Satisfying a divergence-free vector field and periodic boundary conditions respectively with a general spatio-temporal forcing term which is smooth and spatially periodic, the existence of solutions which have finite time singularities can occur starting with the first derivative and higher with respect to time. The existence of a subspace of the solution space where v3 is continuous and {C, y1, y12}, is linearly independent in the additive argument of the solution in terms of the Lambert W function, (y12=y2, C∈R) together with the condition v2=-2y1v1. On this subspace, the Biot Savart Law holds exactly [see Section 2 (Equation (13))]. Also on this subspace, an expression X (part of PNS equations) vanishes which contains all the expressions in derivatives of v1 and v2 and the forcing terms in the plane which are related as with the cancellation of all such terms in governing PDE. The y3 component forcing term is arbitrarily small in ε ball where Weierstrass P functions touch the center of the ball both for inviscid and viscous cases. As a result, a significant simplification occurs with a v3 only governing PDE resulting. With viscosity present as v changes from zero to the fully viscous case at v =1 the solution for v3 reaches a peak in the third component y3. Consequently, there exists a dipole which is not centered at the center of the cell of the Lattice. Hence since the dipole by definition has an equal in magnitude positive and negative peak in y3, then the dipole Riemann cut-off surface is covered by a closed surface which is the sphere and where a given cell of dimensions [-1, 1]3 is circumscribed on a sphere of radius 1. For such a closed surface containing a dipole it necessarily follows that the flux at the surface of the sphere of v3 wrt to surface normal n is zero including at the points where the surface of sphere touches the cube walls. At the finite time singularity on the sphere a rotation boundary condition is deduced. It is shown that v3 is spatially finite on the Riemann Sphere and the forcing is oscillatory in y3 component if the velocity v3 is. It is true that . A boundary condition on the sphere shows the rotation of a sphere of viscous fluid. Finally on the sphere a solution for v3 is obtained which is proven to be Hölder continuous and it is shown that it is possible to extend Hölder continuity on the sphere uniquely to all of the interior of the ball.

SUPPORT SYSTEM FOR FREE SURFACE GRINDING BASED ON PATCH DIVISION

To obtain accurate forms and surfaces in free surface grinding, it is important to provide grinding conditions suitable for a curved surface. A grinding support system for the free surface （GSX-F） is proposed to help the operator grind a free surface with the high accuracy and the high productivity. To succeed in free surface grinding, the property of a ball type wheel must be known. Therefore, a basic study of free surface grinding with a ball type wheel is carried out based on the grinding center （GC）. Some working points for achieving sufficient accuracy in free surface grinding are discussed. GSX-F is constructed using the patch division method and is used to test grinding. Reasonable results are obtained.

Surface modification of wollastonite by the mechano-activated method and its properties

Surface modification of wollastonite particles using titanate as a modification agent incorporated by simultaneous wet ultra-fine grinding in a laboratory stirred mill was investigated.The physical,physic-chemical and application properties of the modified wollastonite were measured and evaluated.The results showed that grinding intensity markedly influences the modification effect because of the mechano chemical effect.The hydrophilic surface of wollastonite was turned into a hydrophobic one after modification.The interaction between titanate and wollastonite under wet grinding circumstances was studied.It was suggested that physical adsorption and chemical adsorption of titanate coexisted on the wollastonite surface.The mechanical properties of polyethylene（PE） filled with the modified wollastonite powder were markedly improved.

Influence of surface roughness on flotation kinetics of quartz

Surface roughness of quartz particles was determined by measuring the specific surface area of particles.The wettability characteristics of particles were determined by measuring the flotation rate using a laboratory flotation cell.Experimental results show that the rod mill product has higher roughness than the ball mill product.For the particles with larger surface roughness,the flotation kinetics constant is also higher.Finally,empirical relationships between surface roughness(r) and the flotation kinetics constant(k) of quartz particles as k=A+Br+Cr0.5lnr+D/lnr+E/r and k=A+Br are presented,in which A,B,C,D and E are constants related to experimental conditions and mineralogical properties of mineral.

Experimental Evaluation of A New Developed Algorithm for An Autonomous Surface Vehicle and Comparison with Simulink Results

Performing repeatable duties automatically was the dreams of human being for centuries. Although full autonomy has long been dreamed of by visionaries, many researches have been performed for surface vehicles automation since the last century to get close to this dream stepwise. To increase daily working hours and accuracy and reduce cost, operations such as hydrography are susceptible for autonomy. Beside platform topology, installed sensors and energy resources, the core elements of any autonomous surface vehicle are navigation, guidance and control systems. To perform bathymetry operation in autonomy manner, a reliable and robust navigation algorithm is designed and embedded in an autonomous surface vehicle titled Morvarid. Morvarid is a plug-in hybrid solar powered catamaran boat. The developed algorithm is a combination of extended Kalman filter, search ball and potential field approaches. Many experimental field tests are carried out after simulation in Simulink environment. Test results illustrated the algorithm and improved the path followed by reducing SD and RMSE and there is a good correlation between simulation run and experimental tests.

Surface Texture Analysis after Hydrostatic Burnishing on X38CrMoV5-1 Steel

Ball burnishing is a plastic deformation process used as a surface smoothing and surface improvement finishing treatment after turning or milling processes. This process changes the surface stereometrics of the previously machining surface. Burnishing with hydrostatic tools can be easily and effectively used on both conventional and Computer Numeric Control(CNC) machines. The existing research of the burnishing process mainly focuses on the functional surface characterization, for example, surface roughness, wear resistance, surface layer hardness, etc. There is a lack of references reporting a detailed analysis of 3D parameters calculation with a mathematical model to evaluate the results of the ball burnishing. This paper presents the effect of ball burnishing process parameters with hydrostatic tools on the resulting surface structure geometry. The surface topography parameters were calculated using the Taly Map software. Studies were conducted based on Hartley’s static, determined plan. Such a plan can be built on a hypersphere or hypercube. In this work, a hypercube was used. In the case of Hartley’s plan makes it possible to define the regression equation in the form of a polynomial of the second degree. The input process parameters considered in this study include the burnishing rate, applied pressure, and line-to-line pitch. The significant influence of these parameters was confirmed and described as a mathematical power model. The results also showed a positive effect of hydrostatic burnishing on the roughness and geometric structure of the surface.

Grinding analysis of Indian coal using response surface methodology

The present work discusses a systematic approach to model grinding parameters of coal in a ball mill. A three level Box-Behnken design combined with response surface methodology using second order model was applied to the experiments done according to the model requirement. Three parameters ball charge （numbers 10-20）, coal content （100-200 g） and the grinding time （4-8 rain） were chosen for the experiments as well as for the modeling work. Coal fineness is defined as the dso （80 % passing size）. A quadratic model was developed to show the effect of parameters and their interaction with fineness of the product. Three different sizes （4, 1 and 0.65 mm） of Indian coal were used. The model equations for each fraction were developed and different sets of experiments were performed. The predicted values of the fineness of coal were in good agreement with the experimental results （R2 values of dso varies between 0.97 and 0.99）. Fine size of three different coal sizes were obtained with larger ball charge with less grinding time and less solid content. This work represents the efficient use of response surface methodology and the Box-Behnken design use for grinding of Indian coal.

考虑材料形变的旋风铣削螺纹工件表面粗糙度建模

表面粗糙度对工件的耐磨性、疲劳强度和接触刚度有重要影响,在金属切削过程中,表面粗糙度受到工件材料形变的影响.根据赫兹弹性接触理论,建立工件材料形变的弹性回复高度模型.基于摩擦磨损计算原理,提出工件材料形变的塑性变形高度模型.分析刀具-工件接触运动,建立工件表面的残留高度模型.结合工件材料形变和残留高度的影响,建立滚珠丝杠旋风铣削表面粗糙度理论模型.通过旋风铣削试验验证表面粗糙度模型,结果表明理论模型值与试验值吻合良好.分析切削参数(切削速度、最大切削深度和刀具个数)对表面粗糙度的影响,揭示工件材料形变与表面粗糙度的关系.

角接触球轴承内圈织构设计及对油气润滑两相流的影响

针对角接触球轴承油气润滑中内圈润滑油含量少和保持性差的问题,提出在轴承内圈滚道设计圆凹坑形表面织构的润滑增效方法。基于气液两相流模型和多重参考系方法,建立内圈织构化角接触球轴承腔内油气两相流数值分析模型,分析内圈织构对轴承油气两相流动及润滑增效的影响。结果表明:织构化轴承可以显著提高润滑油在内圈的保持量,同时改善轴承腔内润滑油分布不均的状况;在微织构附近油气两相流动更不规则,所产生的压力梯度和速度梯度有利于提高气液两相膜的承载力;随着轴承转速的升高,内圈织构润滑增效效果相对减弱;随着供油量的增加,内圈织构润滑增效效果更加显著。

深沟球轴承织构化滚道表面润滑性能的数值分析

织构化深沟球轴承摩擦副表面的接触形式、织构形态对轴承润滑性能的影响机制尚不明确。为探究微织构对深沟球轴承椭圆接触摩擦副表面弹流润滑性能的影响,基于弹流润滑理论,考虑滚道织构对于摩擦表面间油膜厚度的影响作用,建立一种适用于深沟球轴承的织构化表面接触弹流润滑分析模型。然后,采用多重网格法进行数值计算,根据结果分析不同载荷及卷吸速度下织构深度和半径对接触表面油膜压力和厚度分布的影响规律。结果表明,摩擦副表面的润滑性能随着载荷的增大而变差,随着卷吸速度的增大而变好;织构化表面的流体动压效应则随着织构深度的增加而逐渐增大,随着织构半径的增大而逐渐减小,当典型深沟球轴承的滚道织构深度在1.5~2.7μm,半径在3~7μm范围时,织构化摩擦副表面的润滑性能表现最佳,证明适当的织构型式可有效改善深沟球轴承摩擦副表面的润滑性能。研究织构对深沟球轴承摩擦副表面的润滑特性规律,可以为椭圆接触类型摩擦副的织构化优化设计提供理论参考。

基于综合熵权-信噪比的球轴承外圈沟道ELID磨削加工参数优化

为提高球轴承外圈沟道表面的加工质量,实现对电解在线砂轮修整ELID磨削加工试验中摆动参数、磨削参数的精确控制,设计正交试验并基于试验数据建立表面质量与加工参数之间的二阶响应模型和指数回归模型;通过熵权理论确定表面粗糙度与轮廓度的综合权重,最终获得最优加工参数,并结合信噪比的基本特性分析加工参数对表面质量的影响程度。结果表明:指数回归模型对表面粗糙度预测较为精确,二阶响应模型对轮廓度预测较为精确,误差均在5%以下;表面粗糙度、轮廓度综合权重分别为0.4568,0.5432,最优加工参数为摆动幅度11°、摆动速度6°/s、砂轮转速19500 r/min、工件转速50 r/min;加工参数的影响程度由大到小依次为摆动幅度、摆动速度、工件转速、砂轮转速。

取向型微沟槽高速球铣加工制备方法及其减摩性能研究

探究直接利用高速球铣加工工艺制备取向型表面微沟槽织构的方法,并对该类型表面微织构的减摩性能进行研究.鉴于高速球铣加工工艺走刀路径灵活可变、表面材料残留几何尺寸与分布形态具备可控性的特点,利用Matlab仿真对高速球铣加工表面形貌进行预测,通过高速球铣加工试验验证仿真结果,并基于流体动压润滑理论,结合Fluent流体仿真分析与高速环-块摩擦磨损试验,对该类型表面微织构的减摩性能进行分析.当切削参数选用径向切深明显大于每齿进给量的组合时,高速球铣加工表面残留材料能够形成明显的微沟槽形貌,且微沟槽特征的取向可由球头铣刀的走刀路径进行控制;微沟槽承载能力与其取向密切相关,随着微沟槽取向角由90°减小至20°,负压区与正压区范围呈现扩大趋势,油膜内逆流效应逐渐减弱,动压效应逐渐增强,微沟槽承载能力提高了20.64%,表面摩擦系数由0.02845降低至0.02165;然而,当取向角过小时,负压区与正压区的范围过小,不能形成有效的收敛楔,微沟槽承载能力下降,表面摩擦系数上升.通过高速球铣加工工艺能够实现取向型表面微沟槽织构的可控制备,且该类表面的减摩性能与取向角α密切相关,在本文研究范围内,取向角为20°时表现出最小的摩擦系数与最高的油膜承载力.本文研究结果可为表面织构造型方法提供一种新思路,能够为满足零件表面的减摩需求提供很好的解决方法.