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An advanced model of bicycle dynamics

G Franke, W Suhr and F Riess

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A theoretical model of a moving bicycle is presented for arbitrary bicycle geometries at finite angles. The nonlinear equations of motion are derived and solved with the help of a computer. The solutions are tested for energy conservation, and examined with respect to inherent stability. For common bicycles, velocity and lean angle ranges of self-stable motion are predicted.


PACS

02.30.-f Function theory, analysis

45.05.+x General theory of classical mechanics of discrete systems

45.20.Dd Newtonian mechanics

45.20.Jj Lagrangian and Hamiltonian mechanics

45.40.-f Dynamics and kinematics of rigid bodies

Subjects

Mathematical physics

Dates

Issue 2 (March 1990)



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