A critical look into Rayleigh damping forces for seismic performance assessment of inelastic structures

Jehel, Pierre

doi:10.1016/j.engstruct.2014.08.003

Cited by 16 publications

(14 citation statements)

References 22 publications

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“…The main objective was to provide reference data through both dynamic and quasistatic tests in order to evaluate the dissipations depending on structural, material and signal characteristics. The measure of damping forces is challenging because their levels are unknown and generally more difficult to investigate than acceleration or restoring forces [14], they exhibit several sources and evolve along the time-history analysis. In order to quantify and to analyze the dissipation and its evolution during quasi-static and dynamic loadings, a dense network of svarious sensors type have been mounted on the experimental setup.…”

Section: Motivationsmentioning

confidence: 99%

How Are the Equivalent Damping Ratios Modified by Nonlinear Engineering Demand Parameters?

Heitz¹,

Giry²,

Richard³

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. When attempting to predict the seismic response of reinforced concrete (RC) structures, a trade-off has to be found out between a realistic representation of the dissipations through material behavior law and a numerically more efficient modeling with a controlled computational demand such as a Rayleigh-type damping model. Anyway, constitutive laws only describe internal dissipation and actually need a complementary dissipation term often chosen as a proportional damping matrix to take into account external dissipation sources such as interactions with the environment. Decoupling these two contributions in global dissipation measurement from experimental tests is still challenging. To address this problem, a numerical study based on an experimentally identified structural model is here presented. To this end, an experimental campaign has been carried out on RC beams set up on the AZALEE shaking table of the TAMARIS experimental facility operated by the French Alternative Energies and Atomic Energy Commission (CEA). In this paper, the experimental campaign is first presented. Secondly, a suited constitutive model is formulated and identified from the experimental results. Third, numerical dynamic experiments are carried out in order to assess the influence of several parameters on the energy dissipation and on the equivalent viscous damping ratio through two different methods. The validity of these results is assessed on a numerical case where a nonlinear model and an equivalent linear model are compared with each other. Experimental results of dynamic tests are also used as reference in order to estimate the additional viscous damping necessary to take into account the whole energy dissipation.

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Section: Motivationsmentioning

confidence: 99%

How Are the Equivalent Damping Ratios Modified by Nonlinear Engineering Demand Parameters?

Heitz¹,

Giry²,

Richard³

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…Rayleigh damping can be used in seismic simulations either to account for energy dissipation mechanisms that are external to the structure or for energy absorption mechanisms that are internal to the structure [37]. In Rayleigh damping, the damping matrix is a linear combination of mass-proportional and stiffness proportional damping terms as shown in Equation 1:…”

Section: Damping In Time-history Analysesmentioning

confidence: 99%

Effect of the viscous damping on the seismic response of Low-rise RC frame building

Hamed

Davenne

2020

redin

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The equivalent viscous damping is a key parameter in the prediction of the maximum nonlinear response. Damping constitutes a major source of uncertainty in dynamic analysis. This paper studies the effect of using viscous damping, on the reduction of the seismic responses of reinforced concrete RC frame buildings modeled as three-dimensional multi degree of freedom (MDOF) systems, and the use of nonlinear time history analysis as a method of visualized behavior of buildings in the elastic and inelastic range. This study focuses on the implications of the available modeling options on analysis. This article illustrates the effect of using the initial or tangent stiffness in Rayleigh damping in analysis of structures. Correspondingly, this work is also concerned with the estimation of Rayleigh, mass-proportional or stiffness-proportional damping on engineering demand parameters (EDPs). As a result of a series of considerations, a damping modeling solution for nonlinear time history analysis (NLTHA) was carried out to compute the damage index. The application example is a building designed according to reinforced concrete code BAEL 91 and Algerian seismic code RPA 99/Version 2003 under seven earthquake excitations. The simulations demonstrated the accuracy and effectiveness of the proposed method to account for all of the above effects.

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“…where λ is the axial stretch computed as L / L 0 , with L and L 0 being the current and initial sample lengths, respectively. A model parameter c 1 = 0 . 581488 MPa is obtained by adjusting the analytical expression 13 to the experimental curve via a Levenberg–Marquardt procedure with a normalized root mean square deviation of 0.04425. Figure 5 (bottom) shows the resulting stress–stretch curve including the standard deviation of the measurements.…”

Section: Experimental Workmentioning

confidence: 99%

“…Mechanical energy dissipation can be taken into account using the Rayleigh damping force model. 12 In Jehel, 13 this model is used to study the internal energy absorption mechanisms for seismic analysis. A finite element method (FEM) formulation including Rayleigh damping was proposed in Kyriazoglou and Guild 14 to study the damping properties of composite laminates under vibrating loads.…”

Section: Introductionmentioning

confidence: 99%

Modeling the damped dynamic behavior of a flexible pendulum

Ortega

Farías

Cruchaga

et al. 2019

The Journal of Strain Analysis for Engineering Design

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The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.

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A critical look into Rayleigh damping forces for seismic performance assessment of inelastic structures

Cited by 16 publications

References 22 publications

How Are the Equivalent Damping Ratios Modified by Nonlinear Engineering Demand Parameters?

How Are the Equivalent Damping Ratios Modified by Nonlinear Engineering Demand Parameters?

Effect of the viscous damping on the seismic response of Low-rise RC frame building

Modeling the damped dynamic behavior of a flexible pendulum

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