Frequency Response Function- fundamentals

AI Thread Summary
The frequency response function (FRF) is crucial for understanding the dynamic behavior of mechanical structures, detailing the relationship between input and output at varying frequencies. It quantifies how a structure responds in terms of displacement, velocity, or acceleration for a given excitation force. The FRF is mathematically represented as the ratio of the Fourier transform of the output response to that of the input force. The inverse of the frequency response, known as compliance, relates displacement to force, providing insights into a structure's flexibility. Understanding both FRF and compliance is essential for effective structural analysis and design.
svishal03
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I undestand the following concerning the frequency response function;

Frequency response function is a fundamental measurement that isolates the dynamic properties of a mechanical structure.

It describes the input output relation between two points of a structure as a function of frequency. Frequency response function is defined between a single input degree of freedom and a single output degree of freedom.
Frequency response function is a measure of how much displacement, velocity or acceleration response a structure has at an output degree of freedom per unit of excitation force at an input DOF.
Frequency response function is defined as a ratio of Fourier transform of an output response divided by the Fourier transform of the input force.

Now;

The inverse of Frequency response can have a name as:
Compliance <-> (displacement/force)


My questions are;
1) Can anyone provide more insight into FRF (Frequency repsonse function)? Its significance?
2) Also, what is the significance of the inverse of frequency response - Compliance?

Please help

Vishal
 
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