A frequency response function (FRF) is a mathematical representation or measurement that describes the output behavior of a system in response to input at different frequencies. It’s commonly used in engineering, particularly in fields like mechanical and structural analysis, control systems, and signal processing.
The FRF quantifies how a system, structure, or device responds to sinusoidal input signals of varying frequencies. It typically consists of complex numbers that represent the system’s amplitude and phase response at each frequency.
In structural analysis, the FRF helps engineers understand how a structure vibrates or responds to different frequencies of mechanical input. It provides insights into resonant frequencies, damping effects, and structural behavior under various conditions.
In control systems, the FRF helps analyze the stability and performance of a control system by examining how it responds to different frequency inputs. Engineers use this information to design and optimize controllers for desired system behavior.