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CBGA Solder Fillet Shape Prediction and Design Optimization CBGA焊角形状预测与设计优化
Pub Date : 1997-11-16 DOI: 10.1115/1.2792592
Y. Li, R. Mahajan
This paper presents a mathematical analysis to predict the solder fillet shape for ceramic ball grid array joints. Unlike the past analyses, the solder fillet is not assumed to be linear. The solder fillets on both the module and the card side are represented as arcs, and the solder shape is calculated from an analysis that incorporates the major factors affecting the solder fillet, including the solder volume, the pad size, the solder ball size, the wetting angle between the solder and the solder ball, and the gap between the solder ball and the pad. Three of these parameters (the card pad size, the solder ball size and the card-side eutectic solder volume) were selected for investigation of their effect on the reliability of solder joints. To this end, a central composite design of experiment was set up, and the mathematical analysis and finite element methods were used to predict the fatigue life corresponding to each of the design settings in the design array. The results of analyzing the data reveal that the solder volume, the solder ball size and their interaction are statistically significant; the interaction between the pad size and the solder volume is also significant but to a less degree; the pad size and the interaction between the pad size and the solder ball size are not significant. In addition, a response surface model was built to find the optimum settings for maximum reliability. Finally, inaccuracy due to the linear solder fillet assumption is assessed in light of the present analysis.
提出了一种预测陶瓷球栅阵列焊点圆角形状的数学分析方法。不像过去的分析,焊料圆角不假设是线性的。模块和卡侧的焊角都用圆弧表示,焊角形状是根据影响焊角的主要因素(包括焊料体积、焊盘尺寸、焊球尺寸、焊料与焊球之间的润湿角以及焊球与焊盘之间的间隙)的分析计算出来的。选取其中三个参数(焊盘尺寸、焊球尺寸和卡侧共晶焊料体积)来研究它们对焊点可靠性的影响。为此,建立了实验中心复合设计,并采用数学分析和有限元方法对设计阵列中各设计设置对应的疲劳寿命进行了预测。数据分析结果表明,焊料体积、焊料球尺寸及其相互作用具有统计学意义;焊盘尺寸和焊料体积之间的相互作用也很显著,但程度较低;焊盘尺寸以及焊盘尺寸与焊球尺寸之间的相互作用不显著。此外,建立了响应面模型,以寻找最大可靠性的最佳设置。最后,根据目前的分析,对线性焊点假设的不准确性进行了评估。
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引用次数: 10
Residual Stresses and Workpiece Deformation due to Polishing and Plating of Computer Hard Disk Substrates 计算机硬盘基板抛光和电镀的残余应力和工件变形
Pub Date : 1997-11-16 DOI: 10.1115/1.2830572
B. Klamecki
Residual stress distributions due to plating and polishing were determined for nickel-phosphorus plated aluminum alloy disks. Knowledge of these stresses provides insight into the material deformation and removal processes, information as to the effects of processing conditions on residual stress magnitude and can also serve as a basis for development of models of material deformation and removal in polishing. Measured disk shape data was fitted to an analytical solution for plate displacement due to bending moments, and residual stresses were calculated. Plating and polishing residual stresses were separated. Polishing residual stress is compressive indicating differential plastic deformation between the surface and interior regions of the workpiece. Residual stresses produced in polishing operations in which process motions were constrained so that polishing was unidirectional were measured. The results show large differences between amounts of deformation in the polishing direction and the direction perpendicular to it.
测定了镀镍磷铝合金盘的电镀和抛光残余应力分布。这些应力的知识提供了对材料变形和去除过程的深入了解,以及加工条件对残余应力大小影响的信息,也可以作为开发抛光材料变形和去除模型的基础。将测量到的圆盘形状数据拟合到由弯矩引起的板位移解析解中,并计算了残余应力。分离了电镀和抛光残余应力。抛光残余应力是压缩的,表明工件表面和内部区域之间的塑性变形差异。测量了抛光过程中产生的残余应力,其中加工运动受到约束,因此抛光是单向的。结果表明,在抛光方向上的变形量与垂直于抛光方向上的变形量存在较大差异。
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引用次数: 4
A Dynamic Model for Bound Abrasive Grinding of Optical Materials: The Effect of Grinding Conditions on the Workpiece Surface Quality 光学材料结合磨料磨削的动态模型:磨削条件对工件表面质量的影响
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1099
Toshio Takahashi, P. Funkenbusch
A simple dynamic model to describe the grinding behavior in bound abrasive microgrinding of optical materials with CNC (Computerized Numerical Control) machining equipment is discussed and compared with data collected from direct measurement of grinding force. The model involves the relation between grinding force and material removal rate, machine stiffness, and tool condition. Measurements have shown that the tool’s effectiveness and the workpiece surface quality are closely tied through the normal load exerted by the tool on the workpiece during grinding.
讨论了用数控加工设备对光学材料进行结合磨料微磨削时的磨削行为的简单动力学模型,并与直接测量磨削力的数据进行了比较。该模型涉及磨削力与材料去除率、机床刚度和刀具状态的关系。测量结果表明,刀具的有效性和工件表面质量通过刀具在磨削过程中施加在工件上的正常载荷密切相关。
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引用次数: 0
Discharge Quality Estimation and Significant Feature Identification in Micro-Electrical Discharge Machining 微细电火花加工中放电质量估计及显著特征识别
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1106
R. Ramabhadran, R. R. Hebbar, R. Kashyap, S. Chandrasekar
We present a method for estimating the quality of a measured discharge train in Micro-EDM processes. In contrast to generic EDM, Micro-EDM is characterized by a higher frequency of discharges and is used for machining smaller features, thus making regulation more difficult. In this paper, a system similar to a fuzzy rule based classification is used to identify good and bad disharges based on discharge quality. In addition to traditional machining quality issues, we include parameters that illustrate the degree of control of the voltage pulse input over the spark gap. To aid the formulation of quick closed loop control schemes for Micro-EDM, a method for identifying the parameter/sensor that separates best the good and bad discharges, is presented. The use of this method in closed loop control schemes for Micro-EDM is discussed.
我们提出了一种估算微细电火花加工过程中测量放电序列质量的方法。与一般的电火花加工相比,微电火花加工的特点是放电频率更高,用于加工较小的特征,从而使调节更加困难。本文采用了一种类似于模糊规则的分类系统,根据排放质量来识别排放的好坏。除了传统的加工质量问题外,我们还包括说明火花间隙上电压脉冲输入控制程度的参数。为了帮助制定微细电火花加工的快速闭环控制方案,提出了一种能最好地分离好放电和坏放电的参数/传感器的识别方法。讨论了该方法在微细电火花加工闭环控制方案中的应用。
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引用次数: 0
Monitoring Technology for Achieving Intelligent Grinding System 实现智能磨削系统的监控技术
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1078
I. Inasaki
The paper deals with the monitoring technologies for making the grinding process more intelligent and reliable by applying the sensor fusion and artificial intelligence technologies. Increase of the practical application of CBN wheels requires a development of reliable monitoring system to utilize expensive abrasives more efficiently. Combination of an acoustic emission sensor and a power sensor makes the judgment of the wheel life possible with high reliability. One of the characteristic features of the proposed monitoring system is that the acoustic emission sensor is integrated in the CBN wheel, which makes it possible to detect a reliable signal. Monitoring of the dressing process is made possible by applying the same system. Concept of the intelligent data base system based on the genetic algorithms and fuzzy production rules is proposed.
本文研究了应用传感器融合和人工智能技术实现磨削过程智能化、可靠性的监控技术。随着CBN砂轮实际应用的增加,需要开发可靠的监测系统,以更有效地利用昂贵的磨料。声发射传感器和功率传感器的结合使车轮寿命的判断成为可能,并且具有高可靠性。所提出的监测系统的一个特点是声发射传感器集成在CBN轮中,这使得检测到可靠的信号成为可能。通过应用相同的系统,可以对修整过程进行监控。提出了基于遗传算法和模糊产生规则的智能数据库系统的概念。
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引用次数: 2
Real Time Monitoring and Simulation of Thermal Deformation in Plastic Package 塑料包装热变形的实时监测与仿真
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1111
Jiansen Zhu, D. Zou, Sheng Liu
Thermally-induced failure is a major reliability issue for electronic packaging. Due to highly nonlinearity of packaging materials, the electronic packages exhibit uneven thermal deformation in the whole temperature range during thermal cycling. This behavior will affect the buildup of thermal strain and thermal stress within packages, which may affect the reliability of the packaging. Therefore, a real time method is needed to monitor the thermal deformation of packages during the thermal cycling. In this study, the real time moiré interferometry technique is used to monitor the thermal deformation of a plastic package. A grating is transferred onto the cross section of the sample at room temperature. Then the sample is placed in a thermal vacuum chamber and the temperature is increased from room temperature to high temperature. A moiré interferometry setup is used to monitor the thermal deformation of the package with the increase of temperature. The fringe patterns are recorded by a CCD camera system and are compared with the displacement contours of nonlinear finite element simulations. The results show that the real time moiré interferometry technique is an effective way to monitor the thermal deformation of electronic packaging and also provide a powerful validation method for finite element analysis. The comparison between the moiré fringe patterns and finite element results also shows a good agreement.
热致失效是电子封装的主要可靠性问题。由于封装材料的高度非线性,电子封装在热循环过程中在整个温度范围内表现出不均匀的热变形。这种行为将影响热应变和热应力在包装内的积累,这可能会影响包装的可靠性。因此,需要一种实时监测封装在热循环过程中的热变形的方法。在本研究中,采用实时干涉测量技术来监测塑料封装的热变形。在室温下,光栅被转移到样品的横截面上。然后将样品置于热真空室中,温度由室温升高到高温。采用干涉测量装置监测了封装随温度升高而产生的热变形。用CCD摄像系统记录了条纹图,并与非线性有限元模拟的位移轮廓进行了比较。结果表明,实时干涉测量技术是监测电子封装热变形的有效方法,也为有限元分析提供了有力的验证方法。波纹条纹图与有限元结果的比较也显示出较好的一致性。
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引用次数: 0
On the Equivalent Finite Element Beam Model for Ball Grid Array Analysis 球栅阵列等效有限元梁模型研究
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1110
Hsien-Chie Cheng, K. Chiang, Ming-Hisao Lee
Literaturally, the local-global finite element analysis technique plays a very important role in the area array packaging. This technique applies a finite element based method to calculate the geometrical data and elastic/plastic material properties of the equivalent beam model that is used to elastically and plastically simulate the 3-D local model. In this study, the underlying goal is to propose an improved equivalent model for the use in the local/global analysis, and most importantly, provide a systematic procedure in approaching this equivalent model. In addition, the choice of the equivalent beam model (i.e., either solid circular beam or the thin-walled circular pipe) will be also extensively investigated. Since the configuration of the solder joint is far from being close to a “beam-like” structure, defining the corresponding equivalent beam exists a great level of difficulties. Hence, in order to remove the possible difficulties, a comparatively effective way is proposed by incorporating the analytical derivations and optimization approaches. To this end, one practical application is presented to substantiate the proposed methodology.
局部-全局有限元分析技术在区域阵列封装中起着非常重要的作用。该技术采用基于有限元的方法计算等效梁模型的几何数据和弹塑性材料特性,该等效梁模型用于弹塑性模拟三维局部模型。在这项研究中,潜在的目标是提出一个改进的等效模型,用于局部/全局分析,最重要的是,提供一个系统的程序来接近这个等效模型。此外,等效梁模型的选择(即实体圆梁或薄壁圆管)也将被广泛研究。由于焊点的结构远不接近“类梁”结构,因此确定相应的等效梁存在很大的困难。因此,为了消除可能存在的困难,提出了一种比较有效的方法,即结合解析推导和优化方法。为此目的,提出了一个实际应用来证实所提出的方法。
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引用次数: 1
A Neural Network Based Interactive Programing of a Deburring Robot in a Virtual Environment 虚拟环境下基于神经网络的去毛刺机器人交互编程
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1101
T. Kesavadas, Chin Khor
This paper describes an interactive neural network based system for specifying robotic tasks using virtual tools. This virtual environment allows an operator to reach into a live video scene and direct robots to use corresponding real tools to carry out complex metal finishing tasks. The virtual tool concept provides a human-machine interface that is robust to unanticipated developments and tunable to the specific requirements of a particular task. This interactive specification concept is applied to robotic deburring processes. A function is formulated to map the end-effector position of this robot to corresponding set of joint angles through a neural network learning process obtained through examples. The experimental result of such a system that has been implemented on the Mitsubishi RV-M1 robot shows the efficiency of the approach and its potential for use in virtual reality based interactive robotics.
本文描述了一种基于交互式神经网络的虚拟工具机器人任务指定系统。这种虚拟环境允许操作员进入实时视频场景,并指导机器人使用相应的真实工具来执行复杂的金属加工任务。虚拟工具概念提供了一个人机界面,该界面对未预期的开发具有鲁棒性,并可根据特定任务的特定需求进行调整。这种交互式规范概念应用于机器人去毛刺过程。通过实例得到的神经网络学习过程,建立了将机器人末端执行器位置映射到相应关节角度集合的函数。该系统已在三菱RV-M1机器人上实施,实验结果表明了该方法的有效性及其在基于虚拟现实的交互式机器人中的应用潜力。
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引用次数: 1
Online Estimation of Surface Roughness by Recurrent Fuzzy Inference in Grinding Process 基于递归模糊推理的磨削过程表面粗糙度在线估计
Pub Date : 1997-11-16 DOI: 10.1115/imece1997-1074
F. Kobayashi, F. Arai, T. Fukuda, M. Onoda, Norimasa Marui
Grinding process is frequently used to produce a smooth surface in the manufacturing system. Recently, for using a whetstone for a long time, grinding system needs to measure the surface roughness. However, it is difficult to measure the surface roughness and it takes a long time to measure it in process. Thus, we have to estimate surface roughness in process by online sensing information. In this paper, we propose a Recurrent Fuzzy Inference (RFI) with recurrent inputs and is applied to a multi-sensor fusion system for estimating the surface roughness. The membership functions of RFI are expressed by Radial Basis Function (RBF) with insensitive ranges. The learning method of RFI is based on the steepest descent method and incremental learning which can add new fuzzy rules. Where, the shape of new fuzzy rules is determined by the fitness of previous fuzzy rules.
在制造系统中,经常使用磨削工艺来产生光滑的表面。近年来,由于磨刀石的长期使用,磨削系统需要对表面粗糙度进行测量。然而,表面粗糙度的测量比较困难,并且在加工过程中测量需要花费很长时间。因此,我们必须利用在线传感信息来估计加工过程中的表面粗糙度。在本文中,我们提出了一种具有循环输入的递归模糊推理(RFI),并将其应用于多传感器融合系统中用于估计表面粗糙度。RFI的隶属函数用范围不敏感的径向基函数(RBF)表示。RFI的学习方法是基于最陡下降法和增量学习,可以添加新的模糊规则。其中,新模糊规则的形状由先前模糊规则的适应度决定。
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引用次数: 0
Prediction of Shear Angle in Oblique Cutting With Maximum Shear Stress and Minimum Energy Principles 基于最大剪应力和最小能量原理的斜切角预测
Pub Date : 1997-11-16 DOI: 10.1115/1.2832695
E. Shamoto, Y. Altintas
A new shear angle prediction law is proposed for oblique cutting operations. Assuming a thin shear zone model, the oblique cutting mechanics are described by the five angles which show the directions of shear, resultant cutting force and chip flow. Five expressions required to solve the unknown angles are derived from the kinematics of oblique cutting and the physical law of deformation, i.e. either Maximum Shear Stress or Minimum Energy Principle. Unlike the previous solutions which require intuitive or empirical assumptions, the proposed methods use only the tool geometry and the material properties, i.e. shear yield stress and average chip-rake face friction coefficient. The predicted angles and forces agree well with the empirical and experimental results reported in the literature. Furthermore, the proposed models are experimentally verified in predicting forces for practical oblique helical end milling operations.
提出了一种新的斜切角预测律。在薄剪切带模型下,斜切力学用表示剪切方向、切削合力方向和切屑流动方向的五个角度来描述。根据斜切的运动学和变形的物理规律,即最大剪应力原理或最小能量原理,导出了求解未知角度所需的五个表达式。与以往需要直观或经验假设的解决方案不同,本文提出的方法仅使用刀具几何形状和材料特性,即剪切屈服应力和平均切屑-前刀面摩擦系数。预测的角度和力与文献报道的经验和实验结果一致。此外,所提出的模型在实际斜斜螺旋立铣削过程中的力预测方面得到了实验验证。
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引用次数: 86
期刊
Manufacturing Science and Engineering: Volume 1
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