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International Journal of Multimedia Computing, 2023, 4(1); doi: 10.38007/IJMC.2023.040105.

An Efficient Algorithm for Multi-dimensional and Multi-point Random Seismic Response Analysis of Spatial Grid Structure based on Computer


Xiaoyong Zhang

Corresponding Author:
Xiaoyong Zhang

Unicom (Heilongjiang) Industrial Internet Co.,Ltd., Heilongjiang, China


At present, the power spectrum method in the field of random vibration analysis, that is, to calculate the power spectrum of various responses from the given excitation power spectrum, has developed into a mature method. However, this method has not been widely used in engineering design in the past. The purpose of this paper is to study the efficient algorithm of multi-dimensional and multi-point random seismic response analysis of spatial grid structure. Firstly, the paper introduces the quick assessment of earthquake personnel loss from the aspects of the factors affecting the magnitude of earthquake disaster and the assessment process of earthquake personnel loss. Then, it further discusses the theoretical formula of multi-dimensional virtual excitation method, further extends the “virtual excitation method” to the multi-dimensional multi-point non-stationary random earthquake response analysis of spatial grid structure, gives the peak response estimation method, and discusses the multi-dimensional ground, the random model of vibration and the selection of parameters, the random seismic response of latticed shell structure is analyzed by special computer program. The experimental results show that the non-stationary random seismic response of the latticed shell is slightly smaller than that of the stationary random seismic response, with a ratio of about 0.9. The laws of the steady and non-stationary random vibration response of the latticed shell members are similar.


Virtual Excitation Method, Seismic Intensity Determination, Seismic Response Analysis, Multi-dimensional and Multi-point

Cite This Paper

Xiaoyong Zhang. An Efficient Algorithm for Multi-dimensional and Multi-point Random Seismic Response Analysis of Spatial Grid Structure based on Computer. International Journal of Multimedia Computing (2023), Vol. 4, Issue 1: 69-85. https://doi.org/10.38007/IJMC.2023.040105.


[1] Chuhan Z, Yanjie X U, Guanglun W, et al. Non-linear seismic response of arch dams with contraction joint opening and joint reinforcements. Earthquake Engineering & Structural Dynamics. (2015) 29(10): 1547-1566. https://doi.org/10.1002/1096-9845(200010)29:10<1547::AID-EQE979>3.0.CO;2-N

[2] Glenda Abate, Maria Rossella Massimino. Numerical modelling of the seismic response of a tunnel-soil-aboveground building system in Catania (Italy). Bulletin of Earthquake Engineering. (2016) 15(1): 469-491. https://doi.org/10.1007/s10518-016-9973-9

[3] Xiang Y, Luo Y, Guo X. Simplified model and procedure for elasto-plastic seismic response analysis of spatial structure. Journal of Southeast University. (2015) 45(4): 750-755.

[4] Li Zhang, Youjin Su, Ruijie Luo. The Co-seismic Response of Underground Fluid in Yunnan to the Nepal M_S8.1 Earthquake. Earthquake Research in China. (2017) 31(2): 201-212.

[5] José A. Pincheira, Jirsa J O. Seismic response of RC frames retrofitted with steel braces or walls. Journal of Structural Engineering. (2015) 121(8): 1225-1235. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:8(1225)

[6] Kamel Sayed Ahmad Kandil, Ghada N Saudi, B Eltaly. Seismic response of a full-scale wind turbine tower using experimental and numerical modal analysis. International Journal of Advanced Structural Engineering. (2016) 8(4): 337-349. https://doi.org/10.1007/s40091-016-0130-0

[7] Cengizhan Durucan, Murat Dicleli. A P /V P specific inelastic displacement ratio for seismic response estimation of structures. Earthquake Engineering & Structural Dynamics. (2015) 44(7): 1075-1097. https://doi.org/10.1002/eqe.2500

[8] Biao Wei, Peng Wang, Xuhui He. The Impact of the Convex Friction Distribution on the Seismic Response of a Spring-friction Isolation System. Ksce Journal of Civil Engineering. (2017) 22(6): 1-11. https://doi.org/10.1007/s12205-017-0938-6

[9] Lu X, Wang D, Wang S. Investigation of the seismic response of high‐rise buildings supported on tension‐resistant elastomeric isolation bearings. Earthquake Engineering & Structural Dynamics. (2016) 45(13): 2207-2228. https://doi.org/10.1002/eqe.2755

[10] Li X J, Hou C L, Pan R, et al. Effect of damping matrix selection on seismic response of nuclear power plant structures. Journal of Vibration & Shock. (2015) 34(1): 110-116. https://doi.org/10.1155/2015/760394

[11] Bougacha S, Tassoulas J L. Seismic Response of Gravity Dams. II: Effects of Sediments. Journal of Engineering Mechanics. (2016) 117(8): 1839-1850. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:8(1839)

[12] Guo J, Fan H. Seismic response properties of steel concentric X-centrically steel braced RC frames. Journal of Central South University. (2015) 46(6): 2299-2308.

[13] Tomoda A, Watanabe T, Tanaka K. Seismic Response of a Two-Degree-of-Freedom System with Friction Based on the Mass Ratio. Lobachevskii Journal of Mathematics. (2017) 38(3): 525-529.

[14] Li Z Y, Jiang L Y, Li Z L. Effect of bearing model on the seismic response of curved continuous girder bridge. Journal of Vibration & Shock. (2015) 34(2): 182-186.

[15] Wancheng Yuan, Xiaowei Qu. Application Analysis of Seismic Isolation Devices on Longitudinal Seismic Response of Floating System Cable-stayed Bridge. Journal of Tongji University. (2015) 43(2): 199-204.

[16] Hu H, Zhou X, Wang J. A wave numerical method for seismic response of tunnels in bedding strata. Chinese Journal of Rock Mechanics & Engineering. (2017) 36(6): 1373-1383.

[17] Sun Z, Kong L, Guo A. Centrifuge modeling tests on seismic response of lower bedrock deposit slopes before and after reinforced with stabilizing piles. Chinese Journal of Rock Mechanics & Engineering. (2017) 36(6): 1413-1423.

[18] An J, Tao L, Li J. Nonlinear seismic response of double-decked intersecting metro tunnel. China Railway Science. (2015) 36(3): 66-72.

[19] Christelle Salameh, Bertrand Guillier, Jacques Harb. Seismic response of Beirut (Lebanon) buildings: instrumental results from ambient vibrations. Bulletin of Earthquake Engineering. (2016) 14(10): 1-26. https://doi.org/10.1007/s10518-016-9920-9

[20] Wang L, Chen G, Chen S. Experimental study on seismic response of geogrid reinforced rigid retaining walls with saturated backfill sand. Geotextiles & Geomembranes. (2015) 43(1): 35-45. https://doi.org/10.1016/j.geotexmem.2014.11.006