Suboptimal Rayleigh damping coefficients in seismic analysis of viscously-damped structures

Pan, Danguang; Chen, Genda; Wang, Zuo‐Cai

doi:10.1007/s11803-014-0270-9

Cited by 12 publications

(21 citation statements)

References 14 publications

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“…where, * max r is the maximum dynamic response (displacement, velocity or acceleration) corresponding to the accurate damping, which is calculated by using modal superposition method, and max R r is the maximum dynamic response corresponding to the Rayleigh damping when the Rayleigh damping coefficients is calculated by using the methods advocated Lou [9] , Pan [13] , and the author [16] and this paper. 0 shows the two reference frequencies for calculation of Rayleigh damping coefficients, 0 shows the relative errors of peak values of displacements, velocities and accelerations at points A, B, C, D, E which are caused by Rayleigh damping.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…When the Rayleigh damping coefficients are calculated using the method proposed by Pan [13] (M2), the relative error of the peak value of displacement is 3.7%~5.7%  , that of velocity is 8.9%~3.5%  , and that of acceleration response is 30.4%~4.3%  . Compared with the velocity and acceleration, the displacement has the slightest error, because this method takes the minimum error of the peak value of displacement as the control objective when establishing Rayleigh damping matrix.…”

Section: Analysis and Discussionmentioning

confidence: 99%

“…The proposed method in this paper is adopted to calculate the Rayleigh damping coefficients (termed as M4) and the controlled points (DOF) choose A, B, C, D, E, a total of 5 points (0). In addition, the Rayleigh damping coefficients are calculated using the new methods recommended by Lou [9] , Pan [13] , and the author in a previous work [16] for comparison. These methods are termed as M1, M2, and M3, respectively.…”

Section: Calculation Methods For Rayleigh Damping Coefficientsmentioning

confidence: 99%

See 2 more Smart Citations

A Method for Determining Rayleigh Damping Parameters of Complex Field

Wang¹,

Zhang²

2019

CEJ

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Rayleigh damping model, which is still adopted by many general finite element programs and widely used in analysis of engineering, leads to the inconformity of the calculating modal damping ratio with the actual modal damping ratios. The appropriate Rayleigh damping matrix is significant for accurate dynamic response analysis of complicated field. This paper establishes a dual parameter optimization theory for calculation of Rayleigh damping coefficients. The functional relation between the relative error of dynamic response and Rayleigh damping coefficients is established based on CQC method. By taking the square sum of the errors of peak value of displacement and the error of peak value of acceleration at the multiple points (DOF) of the surface of the complex site as the control objective, the equations for solving Rayleigh damping coefficients are obtained based on the principle of minimizing the control objective. Then, as an example, the seismic response of a valley under the excitation of 28 representative seismic waves which are randomly selected is calculated and the error due to Rayleigh damping model is analysed. The numerical result verifies the accuracy and applicability of the proposed method.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Analysis and Discussionmentioning

confidence: 99%

Section: Calculation Methods For Rayleigh Damping Coefficientsmentioning

confidence: 99%

See 1 more Smart Citation

A Method for Determining Rayleigh Damping Parameters of Complex Field

Wang¹,

Zhang²

2019

CEJ

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“…The damping ratio is previously regarded as constant and is independent of response magnitudes and frequencies at the design stage Chang, 2013;Pan et al, 2014). However, this assumption has not been validated for large-span roof structures.…”

Section: Damping Ratio Characteristicsmentioning

confidence: 99%

Full-scale tests of wind effects on a long span roof structure

Zheng

Jiu-rong

et al. 2015

Earthq. Eng. Eng. Vib.

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Full-scale measurements are regarded as the most reliable method to evaluate wind effects on large buildings and structures. Some selected results are presented in this paper from the full-scale measurement of wind effects on a long-span steel roof structure during the passage of Typhoon Fanapi. Some fi eld data, including wind speed and direction, acceleration responses, etc., were continuously and simultaneously recorded during the passage of the typhoon. Comprehensive analysis of the measured data is conducted to evaluate the typhoon-generated wind characteristics and its effects on a long-span steel roof. The fi rst four natural frequencies and their vibration mode shapes of the Guangzhou International Sports Arena (GISA) roof are evaluated by the stochastic subspace identifi cation (SSI) method and comparisons with those from fi nite element (FE) analysis are made. Meanwhile, damping ratios of the roof are also identifi ed by the SSI method and compared with those identifi ed by the random decrement method; the amplitude-dependent damping behaviors are also discussed. The fullscale measurement results are further compared with the corresponding wind tunnel test results to evaluate its reliability. The results obtained from this study are valuable for academic and professional engineers involved in the design of large-span roof structures.

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“…The effect of viscous damping on the response of the structure is greater than the hysteresis damping connected to the inelastic deformation in the case of moderate earthquakes. Therefore, a correct evaluation of viscous damping and its effects in structural dynamics and earthquake engineering is essential [14].…”

Section: Introductionmentioning

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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Suboptimal Rayleigh damping coefficients in seismic analysis of viscously-damped structures

Cited by 12 publications

References 14 publications

A Method for Determining Rayleigh Damping Parameters of Complex Field

A Method for Determining Rayleigh Damping Parameters of Complex Field

Full-scale tests of wind effects on a long span roof structure

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

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