RT Generic
T1 A xeometría diferencial dun modelo de movemento da bicicleta
A1 Cousiño Sóñora, Ángel Manuel
AB [GL] Neste traballo estudaremos o modelo sinxelo de movemento da bicicleta sobre o plano.Consideraremos un segmento de lonxitude prefixada que representará ao cadro da bicicleta.Impoñeremos que o vector velocidade do extremo traseiro sexa paralelo a este. Fixandoo percorrido da roda dianteira e a lonxitude do cadro, a traxectoria da roda traseira determínasede forma única a través dunha ecuación diferencial de primeiro orde de tipoRiccati, a ecuación da bicicleta. O traballo consistirá, basicamente, na lectura e comprensiónde parte dos contidos (esencialmente en dimensión 2) do artigo [4] con conceptosde xeometría diferencial estudados no grao.
AB [EN] This final degree work focuses on the simple model of movement that the bicycleprojects on the plane. We will consider for this aim a predetermined segment with fixedlength that will represent the bicycle frame. We will impose that the velocity vector of therear end is parallel to it. By fixing the travel of the front wheel and the length of the frame,the trajectory of the rear wheel is uniquely determined through a first-order differentialequation (Riccati type), the equation of the bike. This work will consist, essentially, ofreading and understanding part of the contents (basically in dimension 2) of article [4]with differential geometry concepts studied in the degree.
YR 2021
FD 2021-09
LK http://hdl.handle.net/10347/28803
UL http://hdl.handle.net/10347/28803
LA glg
NO Traballo Fin de Grao en Matemáticas. Curso 2020-2021
DS Minerva
RD 24 abr 2026