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A new viscous damping formulation for 1D linear site response analysis
Abstract This paper presents a new formulation for a modal damping ratio implemented at small strains in the time domain analysis of the 1D linear site response. The proposed formulation translates small strain damping ratios to a modal damping ratio at each mode of vibration and used in establishing a frequency-independent viscous damping matrix that can overcome limitations of other viscous damping formulations. This approach can be applied to site response analyses of one-dimensional (1D), two-dimensional (2D), and three-dimensional (3D) finite element models, but in this paper, only a 1D model is presented. Several examples are introduced to verify the proposed method with the conclusion that the new viscous damping formulation in the time-domain analysis can produce excellent agreement with the results of the frequency-domain analysis.
Highlights A new modal damping equation is also developed from the definition of the modal damping ratio at each vibration mode. The viscous damping matrix established from the modal damping ratios is frequency-independent in the time-domain analysis. The new viscous damping formulation can produce an excellent agreement with the results of the frequency domain analysis.
A new viscous damping formulation for 1D linear site response analysis
Abstract This paper presents a new formulation for a modal damping ratio implemented at small strains in the time domain analysis of the 1D linear site response. The proposed formulation translates small strain damping ratios to a modal damping ratio at each mode of vibration and used in establishing a frequency-independent viscous damping matrix that can overcome limitations of other viscous damping formulations. This approach can be applied to site response analyses of one-dimensional (1D), two-dimensional (2D), and three-dimensional (3D) finite element models, but in this paper, only a 1D model is presented. Several examples are introduced to verify the proposed method with the conclusion that the new viscous damping formulation in the time-domain analysis can produce excellent agreement with the results of the frequency-domain analysis.
Highlights A new modal damping equation is also developed from the definition of the modal damping ratio at each vibration mode. The viscous damping matrix established from the modal damping ratios is frequency-independent in the time-domain analysis. The new viscous damping formulation can produce an excellent agreement with the results of the frequency domain analysis.
A new viscous damping formulation for 1D linear site response analysis
Nghiem, Hien Manh (Autor:in) / Chang, Nien-Yin (Autor:in)
13.09.2019
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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