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By the end of this section, you should be able to
Read log-scale plot
Use Bode plot to determine magnitude and phase of output signal
Find closed-form steady-state outputs for linear systems with simple harmonic input
Use normalized Bode plot to design systems to operate away from resonance
Understand sensor dynamic range from their Bode plot
Design simple analog LP and HP filters
Introduction
Introduction
Example: Analytically Calculating Gain and Phase
Example: Analytically Calculating Gain and Phase
The Bode Diagram
The Bode Diagram
Example 1: Finding the SS Output
Example 1: Finding the SS Output
2nd-Order System Response to Harmonic Input
2nd-Order System Response to Harmonic Input
More on resonant frequency and resonant peak: https://www.tutorialspoint.com/control_systems/control_systems_frequency_response_analysis.htm
Example 2: 2nd-Order System SS Response
Example 2: 2nd-Order System SS Response
Centripetal Force refresher: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-forces/a/what-is-centripetal-force
Note that the sin term comes from the fact that we are accounting for only the vertical component of the force at any time. The horizontal component is ignored in these examples.
Transmissibility, Vibration Isolator & Relative-Frequency Bode Diagram
Transmissibility, Vibration Isolator & Relative-Frequency Bode Diagram
Example 3: Designing a 2nd-Order System for a Desired Response
Example 3: Designing a 2nd-Order System for a Desired Response
Multi-DOF Systems
Multi-DOF Systems
Sensors & Filters
Sensors & Filters
Sensors Introduction
Sensors Introduction
Filters Introduction
Filters Introduction
Passive LP Filter Example
Passive LP Filter Example
Passive HP Filter Example
Passive HP Filter Example
Higher-Order Filter Example
Higher-Order Filter Example
Lecture Code
Lecture Code
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