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Time Average Geometric Moiré—Back to the Basics

机译:时间平均几何莫尔条纹-返回基础

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摘要

Applicability of time average geometric moiré for elastic oscillating structures is analysed in this paper. Mathematical and numerical models describing the formation of time averaged fringes are carefully constructed without the assumption that dynamic deflections are described by a slowly varying function. Though time average geometric moiré is considered as a classical optical experimental technique, we show that well known relationship between the fringe order, amplitude of oscillation and pitch of the grating in state of equilibrium can be used only when the amplitude is small. Otherwise the inverse problem of fringe interpretation becomes much more complicated and is the object of analysis in this paper. We describe the interpretation of fringes produced by time average geometric moiré in detail and illustrate the complexity of the problem by numerical examples. Keywords Time average moiré - Bessel functions - Inverse problem - Pattern of fringes - Convergence
机译:分析了时间平均几何莫尔条纹在弹性振动结构中的适用性。精心构造了描述时间平均条纹形成的数学模型和数值模型,而无需假设通过缓慢变化的函数来描述动态挠度。尽管时均几何莫尔条纹被认为是一种经典的光学实验技术,但我们表明,只有在振幅较小时,才能使用条纹状态,振荡幅度和光栅在平衡状态下的间距之间的众所周知的关系。否则,条纹解释的反问题变得更加复杂,并且成为本文的分析对象。我们详细描述了时间平均几何莫尔条纹产生的条纹的解释,并通过数值示例说明了问题的复杂性。关键词时间平均云纹-贝塞尔函数-反问题-条纹图案-收敛

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