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Governing Equation F=mx+cx+kx in the frequency domain F= x+2 ζω nx+ ω n2x where ω n =km and ζ = c/2 √k/m Source: blinkdagger Blog
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Magnetic Field Strength TheoreticalWith Experimental Values
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Eddy Current TheoreticalWith Experimental Values
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Induced Damping Force TheoreticalWith Experimental Values
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Modeling Roadblocks Error occurred when trying to solve. Cause found due to “0” value input for electric conductivity of air surrounding model. Fixed by changing to extremely small value (1E-7 S/m) Opposing force unable to calculate. Fixed by downloading COMSOL update. Eddy current saturation. This was found only to occur at larger velocities, which should not be seen in the damper’s environment.
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Results Magnetic Field Strength (T) Damping Force (lbf) Mass of Payload, m (kg) Spring Constant, k (lbf/in) Damping Coefficient, c (lbf-s/in) Zeta (%) Theoretical1.481.8121020.873.62413.83 Experimental0.88670.65281.1982.871.3067.25
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