PARAMETER ESTIMATION FROM FREQUENCY RESPONSE MEASUREMENTS USING RATIONAL FRACTION POLYNOMIALS (TWENTY YEARS OF PROGRESS)
PARAMETER ESTIMATION FROM FREQUENCY RESPONSE MEASUREMENTS USING RATIONAL FRACTION POLYNOMIALS (TWENTY YEARS OF PROGRESS)
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发表时间：
1982
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通讯作者：
D. Formenti;M. Richardson
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作者：
D. Formenti;M. Richardson
这篇论文最初是在1982年的第一届IMAC会议上发表的。它的摘要如下：这是一个新的公式，它克服了许多与旧的最小二乘误差参数估计技术相关的数值分析问题。克服了这些问题，使得该技术在基于微型计算机的测量系统上实现成为可能。该方法不仅适用于结构模态参数识别的模态分析应用，而且可用于组合机电伺服系统的极点、零点和共振的识别。我们对这种方法的早期开发发生在20世纪70年代末，它首先在模态测试仪器，惠普5423A结构动力学分析仪中实现（作为SDOF过滤器）。从那时起，它已被用于各种其他分析仪和模态分析软件包（作为MDOF和全局筛选器），并且至今仍被广泛使用。在本文中，我们将回顾过去二十年来关于这种方法的其他IMAC论文。我们还将讨论剩余的曲线拟合挑战和进一步研究的机会。
This paper was originally presented at the first IMAC Conference in 1982 [6]. Its abstract was a follows, This is a new formulation that overcomes many of the numerical analysis problems associated with an old least squared error parameter estimation technique. Overcoming these problems has made this technique feasible for implementation on mini-computer based measurement systems. This technique is not only useful in modal analysis applications for identifying the modal parameters of structures, but it can also be used for identifying poles, zeros and resonances of combined electro-mechanical servo-systems. Our early development of this method took place in the late 1970’s, and it was first implemented (as an SDOF fitter) in a modal testing instrument, the Hewlett Packard 5423A Structural Dynamics Analyzer. Since then it has been used in a variety of other analyzers and modal analysis software packages (as an MDOF & Global fitter), and is still widely used today. In this paper, we will review other IMAC papers that have been written about this method during the past twenty years. We will also discuss remaining curve fitting challenges and opportunities for further research.