Accuracy Analysis of a Simplified Algorithm for Seismic Response Analysis of Two Supporting Structures under Multi-support Excitation
Zhao Bo1 Wang Yuanqing2 Chen Zhihua1 Shi Yongjiu2 Jiang yang2
1.School of Civil Engineering, Tianjin University, Tianjin 300072
2. Key Laboratory of Structural Engineering and Vibration of Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing 100084, China；
On the base of response spectrum CQC method considering all the coupling items, the approximate SRSS algorithm ignoring relevant coupling terms was given. Due to the specialty of two supporting structures, a simplified algorithm of quasi-static response of this type of structure was put forward. Take a typical two supporting structure for Example, the accuracy of the approximate algorithm of SRSS was analyzed. The results show that the error of SRSS method mainly comes from ignoring quasi-static and relative dynamic coupling terms, not modal coupling terms. The stronger the traveling-wave effect is, the bigger the error of the approximate algorithm will be. But according to the calculation results of actual engineering structures, within the range of the common wave velocity, the computation errors of displacement and internal force of two approximate algorithms keep within 10% and 15% respectively. So it is feasible to use approximate algorithm of SRSS for seismic response analysis of two supporting structures under multi-support excitation.
赵 博1，王元清2，陈志华1，石永久2，江 洋2. 两点支承结构多点输入地震响应简化算法与精度分析[J]. 振动与冲击, 2015, 34(9): 21-25.
Zhao Bo1 Wang Yuanqing2 Chen Zhihua1 Shi Yongjiu2 Jiang yang2 . Accuracy Analysis of a Simplified Algorithm for Seismic Response Analysis of Two Supporting Structures under Multi-support Excitation. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(9): 21-25.
[1] Kiureghian A.D. A coherency modal for spatially varying ground motions [J]. Earthquake Engineering & Structural Dynamics. 1996, 25(1): 99-111.
[2] 江洋, 石永久, 王元清. 大跨结构地震多点输入响应研究进展[C]. 第17届全国结构工程学术会议论文集（第Ⅲ册）, 2008: 47-56. (JIANG Yang, SHI Yongjiu, WANG Yuanqing. State of seismic response analysis of long-span structures under multi-support excitations[C]. Proceedings of the Seventeenth National Conference on Structural Engineering(No.Ⅲ), 2008: 47-56.)
[3] Su Liang, Dong Shilin, Kato Shiro. Seismic design for steel trussed arch to multi-support excitations[J]. Journal of Constructional Steel Research, 2007, 63(6): 725-734.
[4] 丁阳, 岳增国, 刘锡良. 大跨度张弦梁结构的地震响应分析[J]. 地震工程与工程振动, 2003, 23(5): 163-168. (DING Yang, YUE Zengguo, LIU Xiliang. Seismic response analysis of long-span beam string structures[J]. Earthquake Engineering and Engineering Vibration,2003, 23(5): 163-168)
[5] 江洋, 石永久, 王元清等. 大跨门式钢管桁架结构多点输入地震响应分析[J]. 北京交通大学学报, 2009, 33(4): 88-93.(JIANG Yang, SHI Yongjiu, WANG Yuanqing, etc. Seismic response analysis of large-span gate-type tube truss structures under multi-support excitation[J]. Journal of Beijing Jiaotong University,2009, 33(4): 88-93)
[6] Su Liang, Dong Shilin, Kato Shiro. A new average response spectrum method for linear response analysis of structures to spatial earthquake ground motions[J]. Engineering Structures, 2006, 28(13): 1835-1842.
[7] Kiureghian A D and Neuenhofer A. Response spectrum method for multi-support seismic excitations [J]. Earthquake Engineering & Structural Dynamics, 1992, 21(8): 713-740.
[8] Luco J. and Wong H. Response of a rigid foundation to a spatially random ground motion[J], Earthquake Engineering & Structural Dynamics, 1986, 14(8): 891-908.
[9] Clough R.W. and Penzien J. Dynamics of structures[M], New York：McGraw-Hill, 1993.
[10] 薛素铎, 王雪生, 曹资. 基于新抗震规范的地震动随机模型参数研究[J]. 土木工程学报, 2003, 36(5): 5-10.(XUE Suduo, WANG Xuesheng, CAO Zi.Parameters study on seismic random model based on the new seismic code[J]. China Civil Engineering Journal, 2003, 36(5): 5-10)
