Isolated large amplitude periodic motions of towed rigid wheels
نویسنده
چکیده
This study investigates a low degree-of-freedom (DoF) mechanical model of shimmying wheels. The model is studied using bifurcation theory and numerical continuation. Self-excited vibrations, that is, stable and unstable periodic motions of the wheel, are detected with the help of Hopf bifurcation calculations. These oscillations are then followed over a large parameter range for different damping values by means of the software package AUTO97. For certain parameter regions, the branches representing large amplitude stable and unstable periodic motions become isolated following an isola birth. These regions are extremely dangerous from an engineering view-point if they are not identified and avoided at the design stage.
منابع مشابه
Friction-Induced Velocity Fields for Point Parts Sliding on a Rigid Oscillated Plate
We show that small-amplitude periodic motion of a rigid plate causes point parts on the plate to move as if they are in a position-dependent velocity field. Further, we prove that every periodic plate motion maps to a unique velocity field. By allowing a plate to oscillate with six-degrees-of-freedom, we can create a large family of programmable velocity fields. We examine in detail sinusoidal ...
متن کاملAiaa 98-4471 Tracking Rigid Body Motion Using Thrusters and Momentum Wheels
We develop tracking control laws for a rigid spacecraft using both thrusters and momentum wheels. The model studied comprises a rigid body with external thrusters and with N rigid axisymmetric wheels controlled by axial torques. The thruster torques and the axial motor torques are the controls used to track given attitude motions. Specifically, the thruster torques are used to implement the coa...
متن کاملEffects of Geometric Nonlinearity on Stress Analysis in Large Amplitude Vibration of thin Circular Functionally Graded Plates With Rigid Core
Abstract In this paper , the nonlinear the nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate with rigid core is formulated in terms of von-Karman’s dynamic equation , and a semi-analytical approach is developed.Functionally graded material (FGM) properties vary through the thickness of the plate.FGM s are spatial composites within which material prop...
متن کاملOn the Kinematics of Wheeled Mobile Robots
A wheeled mobile robot is here modelled as a planar rigid body that rides on an arbitrary number of wheels. The relationship between the rigid body motion of the robot and the steering and drive rates of wheels is developed. In particular, conditions are obtained that guarantee that rolling without skidding or sliding can occur. Explicit differential equations are derived to describe the rigid ...
متن کاملInteraction of Molecular Rotation with Large-Amplitude Internal Motions: A Rigid Twister Model of Hydrogen Peroxide
The classical dynamics of interaction between molecular rotation and large-amplitude internal rotation is studied for a rigid twister model of hydrogen peroxide, obtained by assuming an adiabatic separation of the torsional degree of freedom from the remaining 3N 7 vibrational modes. Use of the Augustin-Miller canonical transformation to express the molecule-fixed components of the total angule...
متن کامل