Скачать или смотреть Example 1: Finding Steady State Response using frequency approach: Analysis of a Sinusoidal Input

In this example, the format of outout is the same as input, just the magnitude and phase change. The frequency remains the same. We just need to find the change in magnitude and phase.

For a linear, time invariant systems, the frequency of input and output is the same and only there is a change in magnitude and phase.
To determine the change in magnitude and phase of output, replace 𝒔, with 𝒋𝝎 in transfer function.
The bode plot consists of Magnitude and phase plots.
Magnitude Plot: Shows the magnitude (or amplitude) of the system's output response with respect to a ranging input frequencies. It is expressed in decibels (dB) and plotted on a logarithmic scale.
Phase Plot: Change of system phases for a range of frequency, measured in degrees or radians. It provides information on how much the output signal is phase-shifted from the input signal across range of different frequencies.