Two Mode Resonator and Contact Model for Standing Wave Piezomotor

Brian Andersen, Mogens Blanke, J. Helbo

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    Abstract

    The paper presents a model for a standing wave piezoelectric motor with a two bending mode resonator. The resonator is modelled using Hamilton's principle and the Rayleigh-Ritz method. The contact is modelled using the Lagrange Multiplier method under the assumption of slip and it is showed how to solve the set of differential-algebraic equations. Detailled simulations show resonance frequencies as function of the piezoelement's position, tip trajectories and contact forces. The paper demonstrates that contact stiffness and stick should be included in such model to obtain physically realistic results and a method to include stick is suggested.
    Original languageEnglish
    Title of host publicationProceedings of the 18th ASME Biennial Conference on Mechanical Vibration and Noise
    Number of pages10
    PublisherThe American Society of Mechanical Engineers (ASME)
    Publication date2001
    Publication statusPublished - 2001
    EventThe 18th ASME Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, United States
    Duration: 9 Sept 200112 Sept 2001
    Conference number: 18

    Conference

    ConferenceThe 18th ASME Biennial Conference on Mechanical Vibration and Noise
    Number18
    Country/TerritoryUnited States
    CityPittsburgh
    Period09/09/200112/09/2001

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