Oscillations of rigid block on supported base with coulomb friction model

International Conference on Mechanical Engineering, Automation and Control Systems 2018

Munitsyn, A.I.^1 ; Munitsyna, M.A.^2 ; Poznyak, E.V.^1 ; Kuznetsov, S.F.^1

National Research University MPEI, Moscow, Russia^1

Moscow Institute of Physics and Technology (State University), Moscow, Russia^2

关键词: Amplitude frequency characteristics;    Averaging method;    Contact lines;    Coulomb friction models;    Dry friction;    Forced oscillations;    Main resonance;    Rigid block;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/560/1/012032/pdf
DOI  :  10.1088/1757-899X/560/1/012032

来源: IOP

【 摘 要 】

The analytical solution of the problem of forced oscillation of the solid parallelepiped on a horizontal base is presented. It is assumed that the dry friction force acts on the contact line between the body and the base and the base moves harmonically in a horizontal direction. The height of the parallelepiped is assumed to be much greater than the width. Dissipation of impact is taken into account in the framework of the hypothesis of Newton. The forced oscillation modes of parallelepiped corresponding to the main resonances are found by using the averaging method. The results are shown in the form of amplitude-frequency characteristics.