Damping curve charts show the response of a system for different damping ratios. These can then be used ,via inspection of the measured transfer function, to estimate the damping ratio of your system. These curves can be either for an impulse input or a step input. Damping removes energy from a system to allow it to settle. The damping curves can either be a time response or a frequency response. An overdamped system has a damping ratio of at least 1.
The period of oscillation is defined as
$$\tau=\frac{2\pi}{\omega_n}$$
[[Estimating Natural Frequency form Damping Curve Chart]]
[[Overdamped System]]
[[Underdamped System]]
[[Critically Damped System]]
MIL-F-8785C – specifies damping characteristics for fighter aircraft]]
[[Cornell Aeronautical Laboratory Thumbprint]] – specifies damping ratios for short-period frequency
[[Legacy Hornet Control Stick Overshoots]] – damping ratio of 0.3
[[Oblique Wing Ideal Control Responses]] – contains reciprocal of damping ratio
Root-Locus Plot of PI Pitch Rate Tracking Controller – damping is unaffected by changes in gain
[[Mechanical Time Constant]] – equation includes damping term
F-22 Initial Short-Period Mode Specifications– damping ratio of 0.8
[[Three Machine Infinite Bus Benchmark System]] – Tests the effectiveness of power system stabilizers
[[X-43 Flight Control System]] – structural mode controller needed to have damping ratios above 0.2
[[Natural Frequency]] – occurs at the peak of the frequency response]]
[[X-38 Sideslip Estimation]] – slightly degraded closed-loop damping ratio
[[Superaugmented Aircraft]] – crossover frequency and time constant sets the damping ratio
[[Damping Ratio]]
Sources
- Robotic Car – A Simple Way to Build a Model, (Jun. 16, 2013). Accessed: Mar. 22, 2023. [Online Video]. Available: https://www.youtube.com/watch?v=th0acX5omRM
- J. V. Candy, “Accelerometer Modeling in the State-Space,” Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States), Jan. 2021. doi: 10.2172/1777338.
Backlinks
Impulse Response
[[ODE Solvers]]
[[Step Response]]
[[System Identification]]