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Active Shock Absorbers

Active shock absorbers are used in several kinds of machines and vehicles (for example, in a seat, as shown in the graphic). An active shock absorber is basically a damped harmonic oscillator with spring constant for a mass . This technology uses magnetorheological fluids that change their damping factor when a magnetic field is applied. Three different damping functions are considered here.

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The equation for the system is , where can be chosen according to the application.
References
[1] P. Blanchard, R. L. Devaney, and G. R. Hall, Differential Equations, 4th ed., Boston: Brooks/Cole, 2012 pp. 454–456.
[2] G. Stix, "Project Skyhook," Scientific American, 284(5) pp. 28–29.
[3] A. Wong. "Active Shock Absorbers." (Jan 15, 2013) www.resnet.wm.edu/~jxshix/math302/wong.pdf.
[4] Wikipedia. "Magnetorheological Fluid." (Jan 15, 2012) en.wikipedia.org/wiki/Magnetorheological_fluid.
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