Stability of Motion of an Elastic Wheel Rolling on a Rigid Plane

• Autorzy: Brommundt E.
• Konferencja: German-Polish Workshop on Dynamical Problems in Mechanical Systems (6 ; 12-18.09.1999 ; Söllerhaus , German)
• Języki publikacji: EN

Abstrakty

EN

In the paper by Brommundt (1998) the stationary motion of a rolling on an elastic strip was studied. Here we investigate the stability of such motion for the “inverted problem” : an elastic wheel rolls on a rigid plane. The goal of the paper is mostly methodical. Therefore, the deformations of the wheel are approximated by a very rough single layer linear elastodynamic model. The contact conditions are formulated by nonlinear equations. Local Coulomb friction is taken into account. The stability is studied by means of the pertinent linearized variational equations. They consist of two partial differential equations and several contact conditions. The corresponding eigenvalue problem is solved numerically. Many of the calculated eigenvalues of this model have (small) positive real parts, the stationary motion is always unstable (at least for our parameter set). In case that these eigenvalues lead to multifrequency selfexcited oscillations our result could explain the generation of rolling noise.

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2000
• Tom: Vol. 24, No. 1
• Strony: 33--45
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Brommundt E.

• Institut für Technische Mechanik Technische Universität Braunschweig, Postfach 3329, D-38023 Braunschweig, Germany