Great Video.. Can you please do a video on phases responses (What is Phase response, How to read bode plot etc), The meaning that Frequency Ratio=1.2 -> The mass center continues its 180 degree shift
Phase response is a measure of the phase shift between the input and output signals of a system as a function of frequency. In other words, it describes how much the output signal is shifted in time relative to the input signal at different frequencies. Phase response is often represented graphically using a Bode plot, which shows the magnitude and phase shift of the system's response as a function of frequency. A Bode plot consists of two graphs: one showing the magnitude response (i.e., the amplitude of the output signal relative to the input signal) and the other showing the phase response (i.e., the phase shift between the output and input signals) as a function of frequency. The phase response is typically represented in degrees, with a phase shift of 0 degrees indicating that the output and input signals are in phase, and a phase shift of 180 degrees indicating that the output signal is inverted relative to the input signal. The frequency ratio of 1.2 that you mentioned refers to the ratio of the frequency of the excitation force to the natural frequency of the system. When the frequency ratio is close to 1 (i.e., the excitation frequency is close to the natural frequency), the phase shift of the system's response can be particularly important. In this case, a frequency ratio of 1.2 indicates that the excitation frequency is slightly higher than the natural frequency, which means that the mass center of the system continues its 180 degree shift as it oscillates. In other words, the system's response will be out of phase with the excitation force, with the amplitude of the response reaching its maximum value when the excitation force is at its minimum value, and vice versa. This can result in a phenomenon known as "phase locking", where the system's response becomes synchronized with the excitation force at a specific frequency ratio. Understanding the phase response and frequency ratio of a system is important for predicting and controlling its behavior in real-world applications.
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