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Aeronautiques AIRPLANE WHEELS amplitude assumed automobile axle Bourcier de Carbon C.G.S. system caster angle caster axis caster length castering wheel cause of shimmy characteristic coefficients characteristic equation Christian Bourcier cm/sec Committee for Aeronautics contact surface convergence damper damping defined differential equation dimensions in lieu divergence Douglas Aircraft Company drift effect elementary shimmy English units equa equation 22 Etude Theorique experimental results force F formula frequency front wheels gives ground gyroscopic hence inversion speed inversion velocity Kantrowitz kinematic shimmy lateral elasticity linear differential equation maximum motion negative nose wheel Office National d'Etudes oscillation phenomenon pivot plane pneumatic tire preceding equation present theory problem of shimmy radians restoring torque roots Shimmy des Roues SHIMMY OF AIRPLANE simplified theory solid friction spindle axis stability condition STUDY OF SHIMMY Theorique du Shimmy theory developed agrees tion tire deflection tricycle landing gear values viscous friction wave length zero