Seismic energy dissipation in reinforced concrete beam: investigating damping formulations

Chambreuil, Clotilde; Léger, Pierre

doi:10.1080/19648189.2021.2009380

Cited by 7 publications

(13 citation statements)

References 31 publications

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“…This damping model has been the best predictor of experimental test response in different studies of SDoF and MDoF systems. 29,31,32 Therefore, it is now widely accepted that the use of the tangent stiffness as the damping proportionality matrix provides more physically meaningful results than using the initial stiffness matrix. 32,33 In fact, the nonlinear relations {𝐟 (𝐔(t))} in Equation ( 5) are expected to simulate most of the energy dissipation through hysteretic response as displacement demands increase and yielding mechanisms gradually develop, implying that the contribution of the damping model for energy dissipation should consequently be reduced.…”

Section: Modelled and Non-modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

“…29,31,32 Therefore, it is now widely accepted that the use of the tangent stiffness as the damping proportionality matrix provides more physically meaningful results than using the initial stiffness matrix. 32,33 In fact, the nonlinear relations {𝐟 (𝐔(t))} in Equation ( 5) are expected to simulate most of the energy dissipation through hysteretic response as displacement demands increase and yielding mechanisms gradually develop, implying that the contribution of the damping model for energy dissipation should consequently be reduced. As the tangent stiffness matrix reflects the progression of such yielding, its choice as damping proportionality matrix is therefore compelling.…”

Section: Modelled and Non-modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

“…Namely, to reduce the spurious damping forces caused by the stiffness‐proportional term of RD, several authors 13,21,29,30 proposed updating the damping matrix with the tangent stiffness. This damping model has been the best predictor of experimental test response in different studies of SDoF and MDoF systems 29,31,32 . Therefore, it is now widely accepted that the use of the tangent stiffness as the damping proportionality matrix provides more physically meaningful results than using the initial stiffness matrix 32,33 …”

Section: Modelled and Non‐modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

“…This damping model has been the best predictor of experimental test response in different studies of SDoF and MDoF systems 29,31,32 . Therefore, it is now widely accepted that the use of the tangent stiffness as the damping proportionality matrix provides more physically meaningful results than using the initial stiffness matrix 32,33 …”

Section: Modelled and Non‐modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

See 3 more Smart Citations

Material‐tangent‐stiffness‐proportional viscous damping for nonlinear geometric inelastic frame analysis

Baena‐Urrea¹,

Almeida²

2023

Earthq Engng Struct Dyn

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This work presents a stiffness‐proportional viscous damping model based on the material component of the total tangent stiffness matrix. It is developed for nonlinear geometric inelastic frame analysis and implemented with distributed plasticity formulations. The use of a corotational approach allows isolating the nonlinear effects arising from material and geometric sources, hence allowing to preclude the contribution of the latter to simulate non‐modelled sources of energy dissipation. Following the presentation of the theoretical framework and a discussion on the physical meaningfulness of the proposed approach, several illustrative case studies are presented. The first is based on the damped free vibration response of a slender cantilever with elastic response, whereas the second addresses the seismic behavior of an inelastic reinforced concrete cantilever column. Comparisons with the total‐tangent‐stiffness‐proportional approach showcase the advantages of the current proposal.

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Section: Modelled and Non-modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

Section: Modelled and Non-modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

Section: Modelled and Non‐modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

Section: Modelled and Non‐modelled Sources Of Energy Dissipation In N...mentioning

confidence: 99%

See 2 more Smart Citations

Material‐tangent‐stiffness‐proportional viscous damping for nonlinear geometric inelastic frame analysis

Baena‐Urrea¹,

Almeida²

2023

Earthq Engng Struct Dyn

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show abstract

“…However, in the non-linear behaviour of the structure, the evolution of the energy dissipations is quite arbitrary. In a previous paper, 3 different damping models used in seismic engineering were compared. The analyses were performed on dynamic responses compared to experimental data and energy dissipation mechanisms.…”

Section: Contextmentioning

confidence: 99%

Identification methods of material‐based damping for cracked reinforced concrete beam models

Chambreuil

Giry

Léger

2023

Earthq Engng Struct Dyn

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Seismic performance evaluation in structural design requires the use of sophisticated numerical models. In particular, to accurately represent the non‐linear behaviour of reinforced concrete (RC) structures when subjected to dynamic loadings, the energy dissipation mechanisms must be accurately represented. However, the classical viscous damping models, which are still widely used, are not based on physical considerations at the material level and the choice of damping parameters is often arbitrary. This paper, thus, proposes a time‐domain damping identification method based on equivalent single‐degree‐of‐freedom (SDOF) systems. The methodology is developed using either an updated linear model or a non‐linear energy‐dissipating constitutive model. Energy dissipative phenomena are cracking, friction and unilateral effects upon crack closure. Both models allow the identification of different damping transient variations: (i) With the updated linear model, intrinsic damping ratios and frequencies are identified to define a simple generic damping model, and (ii) with the non‐linear constitutive model, the identified viscous damping ratios represent the dissipative phenomena not described by the material model. The aim is to propose simple models that can be used by anyone to complement their own models. Applying the method to experimental data allows evaluating effective damping ratio transient variations as functions of variables representative of non‐linear behaviour. It is shown that it is possible to accurately model the energy dissipation that is missing in the non‐linear dynamic constitutive models through effective viscous damping models based on dissipative phenomena internal variables.

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Analysis of seismic ground response and soil-structure interaction on step-like topography due to rock-outcrop motions

Göktepe,

Coşkun

2025

Soil Dynamics and Earthquake Engineering

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Seismic energy dissipation in reinforced concrete beam: investigating damping formulations

Cited by 7 publications

References 31 publications

Material‐tangent‐stiffness‐proportional viscous damping for nonlinear geometric inelastic frame analysis

Material‐tangent‐stiffness‐proportional viscous damping for nonlinear geometric inelastic frame analysis

Identification methods of material‐based damping for cracked reinforced concrete beam models

Analysis of seismic ground response and soil-structure interaction on step-like topography due to rock-outcrop motions

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