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Sharp Bounds for Strains and Stresses in Uncertain Mechanical Models

机译:不确定机械模型的菌株和应力的尖锐界限

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Many mechanical systems, involving interval uncertainties and modelled by finite element method, can be described by parameter dependent systems of linear interval equations and response quantities depending on the system solution. A newly developed hybrid interval approach for solving parametric interval linear systems is applied to a 2D engineering model with interval parameters and the results are compared to other interval methods. A new technique providing very sharp bounds for the response quantities, such as element strains and stresses, is developed. The sources for overestimation when dealing with interval computations are demonstrated on a numerical plain strain example.
机译:许多涉及间隔不确定性和由有限元方法建模的机械系统可以通过参数依赖性系统的线性间隔方程和响应量来描述,具体取决于系统解决方案。一种新开发的用于求解参数间隔线性系统的混合间隔方法,将2D工程模型应用于间隔参数,结果与其他间隔方法进行比较。开发了一种为响应量提供非常尖锐的界限,例如元素菌株和应力。在数值普通的普通型级别示例上证明了在处理间隔计算时高估的源极。

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