Rayleigh coefficients for series infrastructure systems with multiple damping properties

Wang, Judith

doi:10.1177/1077546313496832

Cited by 11 publications

(13 citation statements)

References 19 publications

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“…The simple lumped-mass model we used was the same as the model used in the previous study (Wang, 2013). A schematic of the model and its material properties are shown in Figure 1.…”

Section: Discussionmentioning

confidence: 99%

“…A schematic of the model and its material properties are shown in Figure 1. We used a base isolator damping ratio of 8.0% for an example evaluation, whereas Wang (2013) used several ratios for the base isolator damping ratio. Using this simple model, we evaluated the modal damping ratios.…”

Section: Discussionmentioning

confidence: 99%

“…The third type (“Method Type C”) (Wang, 2013) uses element stiffness proportional damping: where [ K e ] is the element stiffness matrix, β e is the coefficient of the element stiffness matrix and n e is the number of elements. The method of Wang uses a weighting method for determining the coefficients.…”

Section: Summary Of Conventional Methodsmentioning

confidence: 99%

“…those with damping properties that vary between different parts of the structures. Wang (2013) proposed a method to determine the coefficients of element stiffness proportional damping, a type of element Rayleigh damping. However, the modal damping ratios given by Wang’s method tend to be proportional to frequency due to the characteristics of element stiffness proportional damping.…”

Section: Introductionmentioning

confidence: 99%

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Modeling method of element Rayleigh damping for the seismic analysis of a 3D FEM model with multiple damping properties

Onitsuka

Ushio

Ojima

et al. 2017

Journal of Vibration and Control

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Damping modeling is important for the accurate evaluation of the seismic response of structures. Our group previously reported a damping modeling method using element Rayleigh damping and evaluated the effectiveness using a simple lumped-mass model with multiple damping properties; however, the effectiveness of the method was not evaluated for three-dimensional (3D) finite element method (FEM) models with multiple damping properties. Moreover, further studies showed that the method needed to be improved to be applied to 3D FEM models. Therefore, the method has been improved to enable application to the seismic analysis of 3D FEM models, and the effectiveness of the method has been evaluated. The proposed method uses a weighted least-squares method to automatically determine the coefficients of element Rayleigh damping. The weighted least-squares method minimizes the differences between the modal damping ratios to be modeled and those given by element Rayleigh damping. Although all modal damping ratios in a simple lumped-mass model were used for damping modeling in our previous study, obtaining them for 3D FEM models is impractical because these models have more natural modes than simple lumped-mass models. Therefore, we used modal damping ratios below a cut-off frequency. The effectiveness of the proposed method was evaluated by comparing it with conventional methods in terms of the modeling errors related to the modal damping ratios and the maximum absolute acceleration. The proposed method tended to have lower errors than the conventional methods and is concluded to be more effective for the seismic analysis of 3D FEM models with multiple damping properties. The proposed method can automatically determine the coefficients of element Rayleigh damping and can more accurately model the damping properties of analysis models, indicating that the proposed method is a powerful tool for the seismic analysis of 3D FEM models with multiple damping properties.

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“…The simple lumped-mass model we used was the same as the model used in the previous study (Wang, 2013). A schematic of the model and its material properties are shown in Figure 1.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Summary Of Conventional Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling method of element Rayleigh damping for the seismic analysis of a 3D FEM model with multiple damping properties

Onitsuka

Ushio

Ojima

et al. 2017

Journal of Vibration and Control

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“…Consequently, different damping matrix construction theories have been proposed [2][3][4][5][6][7][8][9]. For instance, a Rayleigh damping model is widely used because of its excellent advantages [10][11][12][13]. (1) In this model, the damping matrix of a structure is a linear combination of mass and stiffness matrixes.…”

Section: Introductionmentioning

confidence: 99%

Computation of Rayleigh Damping Coefficients for the Seismic Analysis of a Hydro-Powerhouse

Song

2017

Shock and Vibration

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The mass and stiffness of the upper and lower structures of a powerhouse are different. As such, the first two vibration modes mostly indicate the dynamic characteristics of the upper structure, and the precise seismic response of a powerhouse is difficult to obtain on the basis of Rayleigh damping coefficients acquired using the fundamental frequencies of this structure. The damping ratio of each mode is relatively accurate when the least square method is used, but the accuracy of the damping ratios that contribute substantially to seismic responses is hardly ensured. The error of dynamic responses may even be amplified. In this study, modes that greatly influence these responses are found on the basis of mode participation mass, and Rayleigh damping coefficients are obtained. Seismic response distortion attributed to large differences in Rayleigh damping coefficients because of improper modal selection is avoided by using the proposed method, which is also simpler and more accurate than the least square method. Numerical experiments show that the damping matrix determined by using the Rayleigh damping coefficients identified by our method is closer to the actual value and the seismic response of the powerhouse is more reasonable than that revealed through the least square method.

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Physical parameters identification for full‐scale ten‐story reinforced concrete building with degrading tri‐linear model by modal iterative error correction method

Uesaka

Nabeshima

Nakamura

et al. 2021

Earthq Engng Struct Dyn

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To assess the post‐earthquake seismic safety of buildings, it is crucial to predict seismic response, and it is necessary to set the appropriate physical parameters of the response analysis model. Numerous methods have been proposed to identify physical parameters. However, most of them are limited to linear systems, and previous researches on nonlinear systems have difficulties in practical applications. In this paper, a nonlinear response analysis model is identified for a full‐scale ten‐story reinforced concrete building with the degrading tri‐linear stiffness model by the modal iterative error correction (MIEC) method, and the accuracy of this technique is discussed by comparing with the shaking table test.

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Rayleigh coefficients for series infrastructure systems with multiple damping properties

Cited by 11 publications

References 19 publications

Modeling method of element Rayleigh damping for the seismic analysis of a 3D FEM model with multiple damping properties

Modeling method of element Rayleigh damping for the seismic analysis of a 3D FEM model with multiple damping properties

Computation of Rayleigh Damping Coefficients for the Seismic Analysis of a Hydro-Powerhouse

Physical parameters identification for full‐scale ten‐story reinforced concrete building with degrading tri‐linear model by modal iterative error correction method

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