A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD

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  • Huai-feng Wang Xiamen University of Technology, School of Civil Engineering and Architecture, No. 600 Ligong Road, Xiamen, China
  • Ru-lin Zhang China University of Petroleum, College of Pipeline and Civil Engineering, Qingdao, No. 66 Changjiang West Road, China

DOI:

https://doi.org/10.14311/CEJ.2019.03.0034

Klíčová slova:

Rayleigh damping, Damping parameters, Complicated field, Seismic response analysis

Abstrakt

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.

Stažení

Data o stažení nejsou doposud dostupná.

Reference

Chopra A K. Dynamics of Structures: Theory and Applications to Earthquake Engineering, 2nd

edition[M]. New Jersey: Upper Saddle River, Prentice-Hall, 2001.

Nielsen A H. On the use of Rayleigh damping for seismic analysis[J]. Proceedings of the Institution

of Civil Engineers: Engineering and Computational Mechanics, 2009,162(4):215-220.

Hashash Y M A, Park D. Viscous damping formulation and high frequency motion propagation in

non-linear site response analysis[J]. Soil Dynamics and Earthquake Engineering, 2002,22(7):611-624.

Lou Meng-lin, Dong Yun, Zhang Run-lin. Several Problems on Refined Local Modeling for Seismic

Response Analysis of Immersed Tunnel[J]. Chinese Journal of Geotechnical Engineering, 2016,38(9):1-11.

Kausel E. Damping Matrices Revisited[J]. Journal of Engineering Mechanics, 2014,140(8):4014055.

Luco J E. A note on classical damping matrices[J]. Earthquake Engineering & Structural Dynamics, 2008,37(4):615-626.

Hudson M, Idriss I M, Beikae M. User's Manual for QUAD4M: a Computer Program to Evaluate the Seismic Response of Soil Structures Using Finite Element Procedures and Incorporating a Compliant Base[R].Berkeley: University of California, 1994.

Nguyen Q V, Fatahi B, Hokmabadi A S. The effects of foundation size on the seismic performance of buildings considering the soil-foundation-structure interaction[J]. Structural Engineering and Mechanics, 2016,58(6):1045-1075.

Lou Meng-lin, Shao Xin-gang. Discussion on modeling issues of Rayleigh damping matrix in soil layers with deep deposit[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(7): 1272-1279.

Ding Hai-ping, Ma Jun-ling. A method for determining Rayleigh damping based on site characteristic period[J]. Rock and Soil Mechanics, 2013(S2): 35-40.

Ju S, Ni S. Determining Rayleigh damping parameters of soils for finite element analysis[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007,31(10):1239-1255.

Yang D B, Zhang Y G, Wu J Z. Computation of Rayleigh damping coefficients inseismic time-history analysis of spatial structures[J]. Journal of the International Association for Shell and Spatial Structures, 2010,51(2):125-135.

Pan D, Chen G, Wang Z. Suboptimal Rayleigh damping coefficients in seismic analysis of viscously-damped structures[J]. Earthquake Engineering and Engineering Vibration, 2014,13(4):653-670.

Wang Huai-feng, Lou Meng-lin, Zhang Ru-lin. Discussion on Weighted least-squares method for solving Rayleigh damping coefficients[J]. Chinese Journal of Computational Mechanics, 2017(05):603-607.

Dong Yun, Lou Meng-lin. An optimization solution for Rayleigh damping coefficients based on the fundamental frequency of structure[J]. Journal of Hunan University (Natural Science), 2014,41(2):8-13.

Wang Huai-feng, Lou Meng-lin, Zhang Ru-lin. Determining Rayleigh damping parameters for time history analysis of soil layers with deep deposit[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3):468-476.

Spears R E, Jensen S R. Approach for selection of Rayleigh damping parameters used for time history analysis[J]. Journal of Pressure Vessel Technology, 2012,134(6):61801-61807.

ASCE 4-98, Seismic Analysis of Safety-Related Nuclear Structures and Commentary, American Society of Civil Engineers, 1998.

ASCE/SEI 43-05, Seismic Design Criteria for Structures, Systems, and Components in Nuclear Facilities, 2005

Stahování

Publikováno

2019-10-31

Jak citovat

Wang, H.- feng, & Zhang, R.- lin. (2019). A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD. Stavební Obzor - Civil Engineering Journal, 28(3). https://doi.org/10.14311/CEJ.2019.03.0034

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