Small vibrations superimposed on non-linear rigid body motion

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6 Citations (Scopus)


In the case of small elastic deformations in a exible multi- body system, the periodic motion of the system can be modelled as a superposition of a small linear vibration and a non-linear rigid body motion. For the small deformations this analysis re-sults in a set of linear dierential equations with periodic co-ecients. These equations give more insight in the vibration phenomena and are computationally more ecient than a direct non-linear analysis by numeric integration. The realization of the method in a program for exible multibody systems is discussed which requires, besides the determination of the periodic rigid motion, the determination of the linearized equations of motion. The periodic solutions for the linear equations are determined with a harmonic balance method, while transient solutions are obtained by averaging. The stability of the periodic solution is considered. The method is applied to a pendulum with a circular motion of its support pointand a slider-crank mechanism with exible connecting rod. A comparison is made with previous non-linear results.

Original languageEnglish
Title of host publication16th Biennial Conference on Mechanical Vibration and Noise
PublisherThe American Society of Mechanical Engineers (ASME)
Number of pages7
ISBN (Electronic)9780791880401
Publication statusPublished - 1997
EventASME 1997 Design Engineering Technical Conferences, DETC 1997 - Sacramento, United States
Duration: 14 Sept 199717 Sept 1997


ConferenceASME 1997 Design Engineering Technical Conferences, DETC 1997
Country/TerritoryUnited States


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