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On the Stability and Control of the Bicycle

After some brief history, a mathematical model of a bicycle that has become a benchmark is described. The symbolic equations of motion of the bicycle are given in two forms and the equations are

The skill of bicycle riding.

A review of the relevant, literature leads to the conclusion that the proposed control system is consistent with current physiological knowledge and related to the theories of motor skills discussed in the second chapter.

Bicycles, motorcycles, and models

The development of bicycles and motorcycles since the first patented running machine, or draisine, in 1817 is described. Bicycle modeling and control were also discussed. These models include:

The stability of the bicycle

ALMOST EVERYONE can ride a bicycle, yet apparently no one knows how they do it. I believe that the apparent simplicity and ease of the trick conceals much unrecognized subtlety, and I have spent some

Gyrostats and Gyrostatic Action

    Physics

  • 1913

IT NOW suspend the gyrostat from the horizontal beam by means of this chain terminating in a hook (Fig. 8), which engages, as you see, in a central recess of the rim attachment. The chain, you

La Bicyclette: sa Construction et sa Forme

THIS is a reproduction of a series of articles which appeared in vol. xxxiii. of Le Génie Civil, and forms, in some measure, a supplement to the author's “Nouveau Traité des Bicycles et Bicyclettes.”

The stability of bicycles

We review previous ideas on why a bicycle is stable and analyze a somewhat simplified model. We show that a bicycle is almost, though not quite, self‐stable; the most important parameter governing