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RELIABILITY BASED FINITE ELEMENT ANALYSIS OF MECHANICAL COMPONENTS

机译:基于可靠性的机械零件有限元分析

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摘要

In a conventional finite element analysis, material properties, dimensions and applied loads are usually defined as deterministic quantities. This simplifying assumption however, is not true in practical applications. Using statistics in engineering problems enables us to consider the effects of the input variables dispersion on the output parameters in an analysis. This provides a powerful tool for better decision making for more reliable design. In this paper, a probabilistic based design is presented which evaluates the sensitivity of a mechanical model to random input variables. To illustrate the effectiveness of this method, a simple bracket is analyzed for stress-strain behavior using commercially available finite element software. Young's modulus, applied pressure and dimensions are considered as random variables with Gaussian distribution and their effects on maximum stress and displacement is evaluated. The finite element results are compared with reliability based theoretical results which show very good agreement. This demonstrates the capability of commercially available software to handle probabilistic approach design.
机译:在常规的有限元分析中,材料属性,尺寸和施加的载荷通常定义为确定性量。但是,这种简化的假设在实际应用中并不正确。在工程问题中使用统计数据使我们能够在分析中考虑输入变量离散对输出参数的影响。这提供了一个强大的工具,可以更好地进行决策,从而实现更可靠的设计。在本文中,提出了一种基于概率的设计,该设计评估了机械模型对随机输入变量的敏感性。为了说明此方法的有效性,使用市售的有限元软件对应力-应变行为的简单括号进行了分析。将杨氏模量,施加的压力和尺寸视为具有高斯分布的随机变量,并评估它们对最大应力和位移的影响。将有限元结果与基于可靠性的理论结果进行比较,结果显示出很好的一致性。这证明了市售软件处理概率方法设计的能力。

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