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The FRF H ij can be estimated using the various classical estimators such as:. H 1 = Gxy/Gxx . or H 2 = Gyy/Gyx. where Gxx and Gyy are the auto spectra of input and output respectively, Gxy is the cross-spectrum between input and output, and Gyx is the cross-spectrum between output and input (i.e., the complex conjugate of Gxy).


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A Frequency Response Function (or FRF), in experimental modal analysis is shown in Figure 1: is a frequency based measurement function. used to identify the resonant frequencies, damping and mode shapes of a physical structure. sometimes referred to a "transfer function" between the input and output.


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• The FRF can be used to find the steady-state response of a system to a sinusoidal input since, if e(t) y(t) G(s) and e(t) = sin2t, |G(2j)| = 0.3, G(2j) = −80 , then the steady-state output is y(t) = 0.3sin(2t − 80 ) ⇒ The FRF clearly shows the magnitude (and phase) of the re­ sponse of a system to sinusoidal input


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The frequency response function (FRF) is a fundamental property of a linear time-invariant system that describes the system's frequency-dependent behavior. Accurately measuring the FRF of multivariable lightly damped systems in a time-efficient manner is difficult due to spectral leakage and long-lasting transient phenomena. In the past, local rational modeling techniques have been introduced.


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一种新的模态快速识别技巧_科普_求解技术_HyperView仿真秀干货文章

A frequency response function (FRF) is a transfer function, expressed in the frequency-domain. Frequency response functions are complex functions, with real and imaginary components. They may also be represented in terms of magnitude and phase. A frequency response function can be formed from either measured data or analytical functions.

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