A method of calculating nonlinear vibrational oscillations in mechanical contact systems with amplitude-dependent forces of hysteresis type is considered. The method is based on the representation of solutions of forced oscillation equation as nonlinear shapes corresponding to a model conservative system. Two- and three-dimensional dynamic characteristics of the principal and subharmonic modes of symmetrical tangential oscillations are obtained. Conditions under which friction contact oversteps the limits of the pre-sliding at force and kinematic vibrational loadings are specified. The results are compared to the Coulomb model of the friction force and this model is shown to be unsuitable for calculating contact oscillations with small amplitudes. The obtained resonance characteristics of the fundamental mode of contact oscillations satisfy the principle of boundary conformity to the exact solutions obtained by applying the method of fitting to the Coulomb model of the force of friction in the limit of infinitely large relative amplitudes of oscillations. However, the use of the model for low amplitudes of oscillations is inadequate and leads to great errors of calculations. A possible sphere of practical application of the obtained results is calculation and designing of dry friction dampers operating in the micron and submicron ranges of oscillations. These devices can be used at cryogenic temperatures that eliminate the application of viscous dampers. In particular, they are promising for stabilizing optical system of space vehicles. The proposed method of calculation aims at solving a more general problem of forced nonlinear oscillations of a contact oscillator at dry friction in order to protect precise mechanical and automatic members against vibration.


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    Titel :

    Nonlinear shapes of steady-state vibrational oscillations of mechanical contact. Symmetrical tangential oscillations


    Weitere Titelangaben:

    Nichtlineare Formen von stationären Schwingungen in mechanischem Kontakt. Symmetrische Tangentialschwingungen


    Beteiligte:
    Zaspa, Y.P. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2007


    Format / Umfang :

    18 Seiten, 14 Bilder, 26 Quellen




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch




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