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Slow Effects of Fast Excitation and Friction B. F. Feeny, Michigan State University

Slow Effects of Fast Excitation and Friction B. F. Feeny, Michigan State University. 1. Frictionally Excited Beam. Poincare section return map, x(n+h) vs. x(n). W. W = 45.2 Hz. W = 45.6 Hz. w. w = 0.44 Hz. w = 0.6 Hz. Poincare section history, x(n) vs. t. High-frequency input

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Slow Effects of Fast Excitation and Friction B. F. Feeny, Michigan State University

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  1. Slow Effects of Fast Excitation and Friction B. F. Feeny, Michigan State University 1. Frictionally Excited Beam Poincare section return map, x(n+h) vs. x(n) W W = 45.2 Hz W = 45.6 Hz w w = 0.44 Hz w = 0.6 Hz Poincare section history, x(n) vs. t High-frequency input Low-frequency response (W/w > 100 possible)

  2. 2. Dither Quenching (with Moon) Excitation a(t) = Acos(wt) + Bcos(Wt+f) w = 3.625 Hz W = 700 Hz High-frequency input, low-frequency removed Dither Off: Chaos Dither On: Regular Friction Smoothening w w dB dB 20 Hz 20 Hz Hz Hz

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