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Response of tin whiskers to dynamic input: Mathematical modeling and experimental property measurement.

机译：锡晶须对动态输入的响应：数学建模和实验性质测量。

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摘要

The growing risk that tin whiskers pose to the reliability of electronic assemblies has driven the need for a risk assessment tool. In this paper a mathematical model has been developed to calculate the displacement and stress response of a tin whisker to a harmonic input. The model is based on Euler-Bernoulli beam theory and utilizes the method of eigenfunction expansion to calculate the forced response solution. The model was then coded into Matlab to calculate numerical solutions for a variety of parameters. To enhance the accuracy of the model tin whisker samples were prepared and measured with a microtribometer. The whiskers were loaded traversly with a rigid probe tip and the normal and tangential forces were measured. The whiskers appeared very rigid and did not grossely fracture remaining attached to the substrate. They deformed near the root or in the surrounding tin plating where the whisker grew. The mean deformation stress calculated was 505 MPa although there were not enough measurements for statistical significance. The range of values was quite large relative to the mean. The high variability was primarily attributed to the small sample size of 3 valid measurements, the small magnitude of the forces relative to the tolerance of the microtribometer and the crystal orientation of the whisker itself.
机译：锡晶须对电子组件的可靠性构成的风险不断增加，这促使人们需要一种风险评估工具。在本文中，已经开发了数学模型来计算锡晶须对谐波输入的位移和应力响应。该模型基于Euler-Bernoulli束理论，并利用特征函数展开法来计算强迫响应解。然后将该模型编码到Matlab中，以计算各种参数的数值解。为了提高模型的准确性，准备了锡晶须样品，并用微摩擦计进行了测量。晶须在横向上装有刚性探针，并测量了法向和切向力。晶须看起来非常坚硬，并且没有严重断裂，而仍然附着在基底上。它们在晶须生长的根部或周围的镀锡附近变形。尽管没有足够的测量值来显示统计显着性，但计算的平均变形应力为505 MPa。相对于平均值，值的范围很大。高变异性主要归因于3次有效测量的样本量小，相对于微摩擦计的公差和晶须本身的晶体取向的力大小较小。

著录项

  • 作者

    Spitzner, Matthew James.;

  • 作者单位

    Iowa State University.;

  • 授予单位 Iowa State University.;
  • 学科 Engineering Mechanical.;Engineering Materials Science.
  • 学位 M.S.
  • 年度 2009
  • 页码 72 p.
  • 总页数 72
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;工程材料学;
  • 关键词

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