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Frequency response. In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. [1] The frequency response is widely used in the design and analysis of systems, such as audio and control systems, where they simplify mathematical ...
In electrical engineering and control theory, a Bode plot / ˈ b oʊ d i / is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift.
Modal analysis is the study of the dynamic properties of systems in the frequency domain. It consists of mechanically exciting a studied component in such a way to target the modeshapes of the structure, and recording the vibration data with a network of sensors.
Roll-off is the steepness of a transfer function with frequency, particularly in electrical network analysis, and most especially in connection with filter circuits in the transition between a passband and a stopband. It is most typically applied to the insertion loss of the network, but can, in principle, be applied to any relevant function of ...
A band-pass filter or bandpass filter ( BPF) is a device that passes frequencies within a certain range and rejects ( attenuates) frequencies outside that range. It's the opposite of a band-stop filter .
The frequency response, in terms of normalized frequency ω, is: H ( e j ω ) = 1 3 + 1 3 e − j ω + 1 3 e − j 2 ω = 1 3 e − j ω ( 1 + 2 cos ( ω ) ) . {\displaystyle {\begin{aligned}H\left(e^{j\omega }\right)&={\frac {1}{3}}+{\frac {1}{3}}e^{-j\omega }+{\frac {1}{3}}e^{-j2\omega }\\&={\frac {1}{3}}e^{-j\omega }\left(1+2\cos(\omega ...
ω 0 = k / m {\textstyle \omega _ {0}= {\sqrt {k/m}}} is called the undamped angular frequency of the oscillator or the natural frequency, ζ = c 2 m k {\displaystyle \zeta = {\frac {c} {2 {\sqrt {mk}}}}} is called the damping ratio. Many sources also refer to ω0 as the resonant frequency.
A response spectrum is a plot of the peak or steady-state response (displacement, velocity or acceleration) of a series of oscillators of varying natural frequency, that are forced into motion by the same base vibration or shock.
Sweep frequency response analysis (SFRA) is a method to evaluate the mechanical integrity of core, windings and clamping structures within power transformers by measuring their electrical transfer functions over a wide frequency range.
The standard procedure is to calculate frequency response functions for the analyzed structure and then obtain the stress responses, based on given loading or excitation. By exciting different modes, the spread of vibration energy over a frequency range directly affects the durability of the structure.