Selection of the optimal frequencies of viscous damping formulation in nonlinear time-domain site response analysis

Chi Chin Tsai, Duhee Park, Chun Way Chen

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Viscous damping is commonly employed in a nonlinear time-domain site response analysis to capture soil damping at small strains. In contrast to the generally accepted concept of the frequency-independent behavior of soil damping, the viscous damping employed as Rayleigh damping is frequency dependent and can overdamp or underdamp wave propagation. This study revisits the issue of selecting the target value of viscous damping frequencies to minimize the effect of frequency-dependent damping. The proposed criterion considers both the site frequency (SF) and frequency characteristics of input motion (e.g., predominant frequency (PF) or mean frequency (MF)) and is more accurate than the widely used protocol in practice. In the Rayleigh damping, the low optimal frequency can be selected as SF but the high optimal frequency should be selected as the maximum between the PF/MF of the input motion and 5SF.

Original languageEnglish
Pages (from-to)353-358
Number of pages6
JournalSoil Dynamics and Earthquake Engineering
Volume67
DOIs
StatePublished - 2014 Dec 1

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response analysis
damping
Damping
Soils
Wave propagation
wave propagation
soil

Keywords

  • Nonlinear site response
  • Optimal frequencies
  • Smoothed Fourier spectra
  • Viscous damping formulation

Cite this

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abstract = "Viscous damping is commonly employed in a nonlinear time-domain site response analysis to capture soil damping at small strains. In contrast to the generally accepted concept of the frequency-independent behavior of soil damping, the viscous damping employed as Rayleigh damping is frequency dependent and can overdamp or underdamp wave propagation. This study revisits the issue of selecting the target value of viscous damping frequencies to minimize the effect of frequency-dependent damping. The proposed criterion considers both the site frequency (SF) and frequency characteristics of input motion (e.g., predominant frequency (PF) or mean frequency (MF)) and is more accurate than the widely used protocol in practice. In the Rayleigh damping, the low optimal frequency can be selected as SF but the high optimal frequency should be selected as the maximum between the PF/MF of the input motion and 5SF.",
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Selection of the optimal frequencies of viscous damping formulation in nonlinear time-domain site response analysis. / Tsai, Chi Chin; Park, Duhee; Chen, Chun Way.

In: Soil Dynamics and Earthquake Engineering, Vol. 67, 01.12.2014, p. 353-358.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Selection of the optimal frequencies of viscous damping formulation in nonlinear time-domain site response analysis

AU - Tsai, Chi Chin

AU - Park, Duhee

AU - Chen, Chun Way

PY - 2014/12/1

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N2 - Viscous damping is commonly employed in a nonlinear time-domain site response analysis to capture soil damping at small strains. In contrast to the generally accepted concept of the frequency-independent behavior of soil damping, the viscous damping employed as Rayleigh damping is frequency dependent and can overdamp or underdamp wave propagation. This study revisits the issue of selecting the target value of viscous damping frequencies to minimize the effect of frequency-dependent damping. The proposed criterion considers both the site frequency (SF) and frequency characteristics of input motion (e.g., predominant frequency (PF) or mean frequency (MF)) and is more accurate than the widely used protocol in practice. In the Rayleigh damping, the low optimal frequency can be selected as SF but the high optimal frequency should be selected as the maximum between the PF/MF of the input motion and 5SF.

AB - Viscous damping is commonly employed in a nonlinear time-domain site response analysis to capture soil damping at small strains. In contrast to the generally accepted concept of the frequency-independent behavior of soil damping, the viscous damping employed as Rayleigh damping is frequency dependent and can overdamp or underdamp wave propagation. This study revisits the issue of selecting the target value of viscous damping frequencies to minimize the effect of frequency-dependent damping. The proposed criterion considers both the site frequency (SF) and frequency characteristics of input motion (e.g., predominant frequency (PF) or mean frequency (MF)) and is more accurate than the widely used protocol in practice. In the Rayleigh damping, the low optimal frequency can be selected as SF but the high optimal frequency should be selected as the maximum between the PF/MF of the input motion and 5SF.

KW - Nonlinear site response

KW - Optimal frequencies

KW - Smoothed Fourier spectra

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