In this paper, the behavior of a single degree-of-freedom (SDOF) passive vibration isolation system with geometrically nonlinear damping is investigated, and its displacement and force transmissibilities are compared with that of a linear system. The nonlinear system is composed of a linear spring and a linear viscous damper which are connected to a mass so that the damper is perpendicular to the spring. The system is excited by a harmonic force applied to the mass or a displacement of the base in the direction of the spring. The transmissibilities of the nonlinear isolation system are calculated using analytical expressions for small amplitudes of excitation and by using numerical simulations for high amplitude of excitation. When excited with a harmonic force, the forces transmitted through the spring and the damper are analyzed separately by decomposing the forces in terms of their harmonics. This enables the effects of these elements to be studied and to determine how they contribute individually to the nonlinear behavior of the system as a whole. For single frequency excitation, it is shown that the nonlinear damper causes distortion of the velocity of the suspended mass by generating higher harmonic components, and this combines with the time-varying nature of the damping in the system to severely distort the force transmitted though the damper. The distortion of the force transmitted through the spring is much smaller than that through the damper.
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April 2016
Technical Briefs
Sources and Propagation of Nonlinearity in a Vibration Isolator With Geometrically Nonlinear Damping
J. C. Carranza,
J. C. Carranza
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: carranzacamilo@gmail.com
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: carranzacamilo@gmail.com
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M. J. Brennan,
M. J. Brennan
Professor
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: mjbrennan0@btinternet.com
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: mjbrennan0@btinternet.com
Search for other works by this author on:
B. Tang
B. Tang
Associate Professor
Institute of Internal Combustion Engine,
Dalian University of Technology,
Dalian 116023, China
e-mail: btang@dlut.edu.cn
Institute of Internal Combustion Engine,
Dalian University of Technology,
Dalian 116023, China
e-mail: btang@dlut.edu.cn
Search for other works by this author on:
J. C. Carranza
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: carranzacamilo@gmail.com
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: carranzacamilo@gmail.com
M. J. Brennan
Professor
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: mjbrennan0@btinternet.com
Departamento de Engenharia Mecânica,
Universidade Estadual Paulista (UNESP),
Ilha Solteira,
São Paulo 15385-000, Brazil
e-mail: mjbrennan0@btinternet.com
B. Tang
Associate Professor
Institute of Internal Combustion Engine,
Dalian University of Technology,
Dalian 116023, China
e-mail: btang@dlut.edu.cn
Institute of Internal Combustion Engine,
Dalian University of Technology,
Dalian 116023, China
e-mail: btang@dlut.edu.cn
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 20, 2015; final manuscript received October 26, 2015; published online December 10, 2015. Editor: I. Y. (Steve) Shen.
J. Vib. Acoust. Apr 2016, 138(2): 024501 (6 pages)
Published Online: December 10, 2015
Article history
Received:
January 20, 2015
Revised:
October 26, 2015
Citation
Carranza, J. C., Brennan, M. J., and Tang, B. (December 10, 2015). "Sources and Propagation of Nonlinearity in a Vibration Isolator With Geometrically Nonlinear Damping." ASME. J. Vib. Acoust. April 2016; 138(2): 024501. https://doi.org/10.1115/1.4031997
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