Nonlinear Dynamics of Stockbridge Dampers

Author:

Barry O.1,Zu J. W.2,Oguamanam D. C. D.3

Affiliation:

1. Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada e-mail:

2. Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada

3. Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON M5B 2K3, Canada

Abstract

The present paper deals with the nonlinear dynamics of a Stockbridge damper. The nonlinearity is from damping and the geometric stretching of the messenger. The Stockbridge damper is modeled as two cantilevered beams with tip masses. The equations of motion and boundary conditions are derived using Hamilton’s principle. The model is valid for both symmetric and asymmetric Stockbridge dampers. Explicit expressions are presented for the frequency equation, mode shapes, nonlinear frequency, and modulation equations. Experiments are conducted to validate the proposed model.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference25 articles.

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