This paper is aimed at investigating the influence of nonviscous modes on the vibrational response of viscoelastic systems. Thus, exponential damping models are considered. Provided that nonviscous modes disappear with time, they have influence on only the transient response of the system. Thus, the system response is obtained by means of modal superposition in order to examine the contribution of each mode. The analysis is carried out on two lumped parameter systems; systems involving a single degree and three degrees of freedom are studied. For the former, the analytic solution is derived via modal superposition and Laplace transformation. For the latter, the analytic response is contrasted with that provided via two numerical direct methods. From this investigation, it can be concluded that the system may present no oscillations, even if elastic modes are underdamped modes.
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December 2011
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Influence of Nonviscous Modes on Transient Response of Lumped Parameter Systems With Exponential Damping
Jon García-Barruetabeña,
Jon García-Barruetabeña
Department of Mechanical Engineering,
Mondragon Unibertsitatea
, Loramendi 4, 20500, Mondragon, Spain
,
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Fernando Cortés,
Fernando Cortés
Deusto Institute of Technology (DeustoTech), Faculty of Engineering,
University of Deusto
, Avenida de las Universidades 24, 48007, Bilbao, Spain
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José Manuel Abete
José Manuel Abete
Department of Mechanical Engineering,
Mondragon Unibertsitatea
, Loramendi 4, 20500, Mondragon, Spain
,
Search for other works by this author on:
Jon García-Barruetabeña
Department of Mechanical Engineering,
Mondragon Unibertsitatea
, Loramendi 4, 20500, Mondragon, Spain
,
Fernando Cortés
Deusto Institute of Technology (DeustoTech), Faculty of Engineering,
University of Deusto
, Avenida de las Universidades 24, 48007, Bilbao, Spain
José Manuel Abete
Department of Mechanical Engineering,
Mondragon Unibertsitatea
, Loramendi 4, 20500, Mondragon, Spain
, J. Vib. Acoust. Dec 2011, 133(6): 064502 (8 pages)
Published Online: November 28, 2011
Article history
Received:
February 25, 2011
Revised:
July 12, 2011
Accepted:
July 12, 2011
Online:
November 28, 2011
Published:
November 28, 2011
Citation
García-Barruetabeña, J., Cortés, F., and Manuel Abete, J. (November 28, 2011). "Influence of Nonviscous Modes on Transient Response of Lumped Parameter Systems With Exponential Damping." ASME. J. Vib. Acoust. December 2011; 133(6): 064502. https://doi.org/10.1115/1.4005004
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