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Transient Response of a SDOF System With an Inerter to Nonstationary Stochastic Excitation.

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Title: Transient Response of a SDOF System With an Inerter to Nonstationary Stochastic Excitation.
Authors: Masri, Sami F.1 masri@usc.edu, Caffrey, John P.2 jpcengr@aol.com
Source: Journal of Applied Mechanics. Apr2017, Vol. 84 Issue 4, p1-10. 10p.
Subjects: Degrees of freedom, Dampers (Mechanical devices), Transients (Dynamics)
Abstract: An analytical study is presented of the covariance kernels of a damped, linear, two-degrees-of-freedom (2DOF) system which resembles a primary system that is provided with an auxiliary mass damper (AMD), in addition to an "inerter" (a device that imparts additional inertia to the vibration damper, hence magnifying its effectiveness without a significant damper mass addition). The coupled 2DOF system is subjected to nonstationary stochastic excitation consisting of a modulated white noise. An exponential function, resembling the envelope of a typical earthquake, is considered. Results of the analysis are used to determine the dependence of the peak transient mean-square response of the system on the damper/inerter tuning parameters, and the shape of the deterministic intensity function. It is shown that, under favorable dynamic environments, a properly designed auxiliary damper, encompassing an inerter with a sizable mass ratio, can significantly attenuate the response of the primary system to broad band excitations; however, the dimensionless "rise-time" of the nonstationary excitation substantially reduces the effectiveness of such a class of devices (even when optimally tuned) in attenuating the peak dynamic response of the primary system. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Mechanics is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Transient Response of a SDOF System With an Inerter to Nonstationary Stochastic Excitation.
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  Data: <searchLink fieldCode="AR" term="%22Masri%2C+Sami+F%2E%22">Masri, Sami F.</searchLink><relatesTo>1</relatesTo><i> masri@usc.edu</i><br /><searchLink fieldCode="AR" term="%22Caffrey%2C+John+P%2E%22">Caffrey, John P.</searchLink><relatesTo>2</relatesTo><i> jpcengr@aol.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mechanics%22">Journal of Applied Mechanics</searchLink>. Apr2017, Vol. 84 Issue 4, p1-10. 10p.
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  Data: An analytical study is presented of the covariance kernels of a damped, linear, two-degrees-of-freedom (2DOF) system which resembles a primary system that is provided with an auxiliary mass damper (AMD), in addition to an "inerter" (a device that imparts additional inertia to the vibration damper, hence magnifying its effectiveness without a significant damper mass addition). The coupled 2DOF system is subjected to nonstationary stochastic excitation consisting of a modulated white noise. An exponential function, resembling the envelope of a typical earthquake, is considered. Results of the analysis are used to determine the dependence of the peak transient mean-square response of the system on the damper/inerter tuning parameters, and the shape of the deterministic intensity function. It is shown that, under favorable dynamic environments, a properly designed auxiliary damper, encompassing an inerter with a sizable mass ratio, can significantly attenuate the response of the primary system to broad band excitations; however, the dimensionless "rise-time" of the nonstationary excitation substantially reduces the effectiveness of such a class of devices (even when optimally tuned) in attenuating the peak dynamic response of the primary system. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Journal of Applied Mechanics is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1115/1.4035930
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      – Code: eng
        Text: English
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      – SubjectFull: Degrees of freedom
        Type: general
      – SubjectFull: Dampers (Mechanical devices)
        Type: general
      – SubjectFull: Transients (Dynamics)
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      – TitleFull: Transient Response of a SDOF System With an Inerter to Nonstationary Stochastic Excitation.
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              Text: Apr2017
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