Vibrations of a Rigid Body with Cylindrical Surface on a Vibrating Foundation


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Abstract

The analytic solution of the problem of forced vibrations of a rigid body with cylindrical surface on a horizontal foundation is given. It is assumed that the dry friction force acts at the point of contact between the cylindrical surface of the body and the foundation and the foundation moves by a harmonic law in the horizontal direction perpendicularly to the cylindrical surface element. The averaging method is used to determine the forced vibration mode near the natural frequency of the body vibrations on the fixed foundation. The results are presented as amplitude-frequency and phase-frequency characteristics.

About the authors

L. V. Munitsyn

National Research University “Moscow Power Engineering Institute,”

Author for correspondence.
Email: munitsyn@rambler.ru
Russian Federation, ul. Krasnokazarmennaya 14, Moscow, 111250

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