This article concerns the free vibration of a single-degree-of-freedom (SDOF) system with three types of nonlinear damping. One system considered is where the spring and the damper are connected to the mass so that they are orthogonal, and the vibration is in the direction of the spring. It is shown that, provided the displacement is small, this system behaves in a similar way to the conventional SDOF system with cubic damping, in which the spring and the damper are connected so they act in the same direction. For completeness, these systems are compared with a conventional SDOF system with quadratic damping. By transforming all the equations of motion of the systems so that the damping force is proportional to the product of a displacement dependent term and velocity, then all the systems can be directly compared. It is seen that the system with cubic damping is worse than that with quadratic damping for the attenuation of free vibration.
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April 2012
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A Comparison of the Effects of Nonlinear Damping on the Free Vibration of a Single-Degree-of-Freedom System
Bin Tang,
e-mail: btang@dlut.edu.cn
Bin Tang
Institute of Internal Combustion Engine, Dalian University of Technology
, Dalian 116023, China
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M. J. Brennan
M. J. Brennan
Department of Mechanical Engineering, UNESP, Ilha Solteira
, SP15385-000, Brazil
Search for other works by this author on:
Bin Tang
Institute of Internal Combustion Engine, Dalian University of Technology
, Dalian 116023, China
e-mail: btang@dlut.edu.cn
M. J. Brennan
Department of Mechanical Engineering, UNESP, Ilha Solteira
, SP15385-000, Brazil
J. Vib. Acoust. Apr 2012, 134(2): 024501 (5 pages)
Published Online: January 13, 2012
Article history
Received:
September 22, 2010
Accepted:
July 12, 2011
Online:
January 13, 2012
Published:
January 13, 2012
Citation
Tang, B., and Brennan, M. J. (January 13, 2012). "A Comparison of the Effects of Nonlinear Damping on the Free Vibration of a Single-Degree-of-Freedom System." ASME. J. Vib. Acoust. April 2012; 134(2): 024501. https://doi.org/10.1115/1.4005010
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