MOMAT - RESEARCH GROUP OF THE UNIVERSIDAD COMPLUTENSE DE MADRID  

Mathematical Models in Science and Technology: Development, Analysis, Numerical Simulation and Control
(Ref: 910480)

 

Versión en castellano

 

Call for Tenders for the II MOMAT-ADSA Contest on Mathematical Modelling

 
 
The MOMAT Research Group of the UCM and Advanced Dynamics S.A. call for the
II MOMAT-ADSA Mathematical Modelling Contest
for students, within the Agreement No. 5901 of the UCM
Conditions of the Contest
  • Participation in the contest requires the presentation of a Modelling paper about the "Statement of the problem" as specified below.
  • Each paper will be performed by a team of maximum 6 students with no PhD degree. One out of each team will, for all purposes, act as coordinator (sending of notifications, etc).
  • Any person may participate who at some time has been registered in a university (either Spanish or foreign, public or private) and who has no PhD degree before October 28th, 2008.
  • In order to submit a paper to the contest it is obligatory to send it together with the proposal form enclosed below, signed by all participants, to the following address: 
       
      Ángel Manuel Ramos del Olmo
      Departamento de Matemática Aplicada
      Facultad de Matemáticas
      Universidad Complutense de Madrid
      Plaza de Ciencias, 3
      28040-Madrid
      Correo electrónico: angel@mat.ucm.es

A signed printed copy either in Spanish or English has to be sent with a copy in computer format to the above e-mail address, enclosing, if the case be, the material of graphic, audiovisual, computer or any other nature deemed appropriate.

  • The deadline for submitting the papers is October 28th, 2008.
  • The decisions about the winning papers will be taken by the Mixed Monitoring Committee of the Agreement No. 5901 of the UCM,  consisting of:
    • On the side of the Universidad Complutense de Madrid:
      • Juan Antonio Tejada Cazorla (Dean of the Mathematics Faculty), or person to whom he might delegate. 
      • Jesús Ildefonso Díaz Díaz (Co-director of the Investigation Team of the UCM), or person to whom he might delegate. 
      • Ángel Manuel Ramos del Olmo (Co-director of the Investigation Team of the UCM), or person to whom he might delegate. 

The UCM Rector might replace the members of the Mixed Monitoring Committee designated on the side of the UCM, should they loose or change the capacities on which their nomination for membership was based. 

    • On the side of ADSA:
      • Gabriel Barceló (Chairman) or person to whom he might delegate.   
      • Alejandro Álvarez (Secretary of BoM) or person to whom he might delegate.   
      • Julio Cano Lacunza (Member of BoM) or person to whom he might delegate. 
  • The prizes consist of one thousand five hundred euros (1500 €) for the paper which wins the first place and two accesits with sets of Physics and/or Mathematics books worth 250 € each for the first and second place. 
  • The prizes might remain un-awarded, if there is a lower number of presented papers or if their quality is insufficient.
  • The decisions regarding this contest will be published on the web page of the Group MOMAT of the UCM: http://www.mat.ucm.es/momat 
  • A Seminar will be organized in Madrid where the winners of the tender will present their results and prizes will be handed out. Requisite for the awarding of the prizes is that at least one member of each group comes to the presentation and lectures its paper. 
  • For further information please contact angel@mat.ucm.es
Statement of the problem

Determinate the path of the centre of mass of a rigid solid, with axial symmetry, equipped with an angular momentum on its centre of mass and with respect to a principal axis of inertia, when some other forces are applied on it and such that, they would have a null resultant when applied to the centre of mass, but that applied on other points, they generate an angular momentum non-coaxial with the existing one in the solid. It must be assumed that the distribution of velocities generated by this new non-coaxial momentum is composed with any other velocity on the centre of mass of the rigid solid.

Goals:

  • Determinate the resultant velocity field for each point of the rigid solid.

  • Use the description of velocities obtained in the previous section in order to determine whether the orbit of any point of the rigid solid is periodic or not.

  • Develop a programme for the approximation and numerical simulation of the orbits of the solid points, based on the obtained equations and the given hypotheses on forces and momenta. 

 

Application form

Impreso Word
Impreso Pdf
Note: We recommend those persons interested in participating to express their intention to take part in the tender by sending, as soon as possible, an e-mail to angel@mat.ucm.es

 

 

Organized by

MOMAT

Sponsored by

Advanced Dynamics S.A.

 
Volver a la página principal