46 016 3 JOURNAL OF SOUTHEAST UNIVERSITY Natural Science Edition Vol 46 No Mar 016 DOI 10 3969 /j issn 1001-0505 016 0 01 1 1 3 3 1 10096 100044 3 10037 0 674 Hz U448 5 A 1001-0505 016 0-0360-05 Sensitivity analysis on dynamic characteristics of self-anchored suspension bridge with super-wide girder Xia Zhiyuan 1 Li Aiqun 1 Li Jianhui 3 Duan Maojun 3 1 School of Civil Engineering Southeast University Nanjing 10096 China Beijing University of Civil Engineering and Architecture Beijing 100044 China 3 School of Civil Engineering Nanjing Forestry University Nanjing 10037 China Abstract To study the sensitivity of the dynamic characteristic of self-anchored suspension bridges with super-wide concrete girders to around circumstances the influences of the dead load intensity the environmental temperature and the support subsidence on the dynamic characteristic were analyzed by using the method combining nonlinear finite element and subspace iteration The results show that the first-order frequency is 0 674 Hz in the finished state and the vertical vibration mode plays a leading role but the longitudinal floating mode appears late because of the large constraints to girders in the direction Due to the influence of the super-wide section on the torsion rigid which should be taken into account in the following analysis the torsion mode emerges early with mode coupling All structural frequencies are sensitive to the dead load intensity but not to the support subsidence The frequencies of the vertical bending of the girder are sensitive to the temperature but those related to transverse vibration are not It is suggested that the effects of the dead load intensity and the environmental temperature should be considered in field tests of dynamic characteristics Key words self-anchored suspension bridge dynamic characteristics subspace iteration method sensitivity analysis super-wide section 015-08-7 1988 aiqunli@ seu edu cn 5178104 01330410015 011Y03 1KJB560003 CE0-1-35 J 016 46 360-364 DOI 10 3969 /j issn 1001-0505 016 0 01
361 1 K - ω M A = 0 3 1-4 3 A ω = K - 1 MA = DA 4 D = K - 1 M 4 D 5 D 0 6 Ritz Rayleigh 7 Lanczos Ritz n s 1 p p 1 + 1 s 8-9 10 Ritz 15 11 Ritz 1 5 s 13 1 K M 14 D = K - 1 M 3 s n s A 0 = ψ 1 ψ ψ s 4 ψ Ι = DA 0 K * = ψ T Ι Kψ Ι M * = ψ T Mψ Ι Ι 1 5 ω M * = 0 s ω 1 ω ω s Mü + Ku = 0 1 a 1 a a s M K u ü 6 a - I < ε I ε s A 1 = 1 a T 1 a a s s u = Asin ωt + ω 1 ω ω s 4A Ι A ω A 0 http / /journal seu edu cn K * a - ω M * a = 0 K * -
36 46 f 1 1 f 1 f 3 f 4 53 + 11 + 53 m 3 1 5 m 0 8 m 4 3 ~ 5 6 m 10 1 C50 1 45 m /Hz 1 0 674 C40 1 0 954 1 + 31 7 m 1 /5 76 1 + 1 3 1 064 37 8 1 5 m 6 m 1 a 1 0 674 Hz 1 a m 1 13 3 b 13 1 MIDAS /Civil 8 4 6 4 1 b 3 3 1 http / /journal seu edu cn 4 1 53 + + 1 5 1 379 1 6 1 394 1 7 1 441 1 8 1 479 1 9 1 508 + + 10 1 588 1
363 0 7 0 8 0 9 1 0 1 1 1 1 3 1 4 1 5 3 http / /journal seu edu cn 0 01 0 0 0 03 0 04 0 05 m 0 6 1 5 0-10 10 3 4 4 4 1 f 1 1 f 8% 1 f 3 11% f 4 7% f 1 ~ f 4 3 3 4 40 ~ 4 50 0 1% - 40 ~ 60 3 4 3-40 60 f 1 f 4 6% f 4 1-10 10 f f 3 % 0 0 674 Hz
364 46 3969 / j issn 100-068 004 07 018 3 Zhang Hongbin Kong Xianjing Zhang Zhe Research on dynamic performance of self-anchored suspension bridge J Journal of Highway and Transportation Research and Development 004 1 7 66-69 DOI 10 3969 /j issn 100-068 004 07 018 in Chinese 9 J 011 41 4 41-43 61 Wang Yutian Ma Zongzhi Jiang Fuxiang Study of dynamic characteristics of single-tower self anchored suspension bridges with spatial cables J Bridge Construction 011 41 4 41-43 61 in Chinese f 1 ~ f 4 10 J 006 3 84-88 DOI 10 3969 / j issn 1007-6069 006 03 014 Zhao Zhuo Zhang Zhe Liu Dongxu Analysis of dynamic performance of main bridge of self-anchored - 10 10 suspension bridge J World Earthquake Engineering 006 3 84-88 DOI 10 3969 /j issn 1007-6069 006 03 014 in Chinese 11 References M 011 1-5 Ochsendorf J A Billington D P Self-anchored suspension bridges J Journal of Bridge Engineering 1999 4 3 151-156 3 Kamei M Maruyama T Tanaka H Konohana bridge Japan J Structural Engineering International 199 1 4-6 4 Sun J Manzanarez R Nader M Suspension cable design of the new san francisco-oakland bay bridge J Journal of Bridge Engineering 004 9 1 101-106 5 gated steel webs J Bridge Construction 014 44 J 004 3 4 50-6 40-45 in Chinese 53 DOI 10 3969 /j issn 1671-7767 004 04 015 13 Feng Shuo Xiang Yiqiang Xie Xu et al Study of dynamic behavior and influences induced by structural pa- J 013 43 6 64-70 Kang Juntao Yuan Min Wang Tongmin Parametric analysis of dynamic performance of completion state of rameter variations of self-anchored suspension bridge J World Bridges 004 3 4 50-53 DOI 10 3969 /j issn 1671-7767 004 04 015 in Chinese 6 Abdel-Ghaffar A M Free lateral vibrations of suspension bridges J Journal of the Structural Division 1978 104 3 503-55 7 West H H Suhoski J E Geschwindner L F Jr Natural frequencies and modes of suspension bridges J Journal of Structural Engineering 1984 110 10 471-486 DOI 10 1061 / ASCE 0733-9445 1984 110 10 471 8 J 004 1 7 66-69 DOI 10 J 009 40 4 1079-1085 1 Song Xuming Dai Gonglian Zeng Qingyuan Seismic response analysis and control of self-anchored suspension bridge J Journal of Central South University Science and Technology 009 40 4 1079-1085 in Chinese 1 J 014 44 6 40-45 Chen Shuisheng Zhang Xiaoguang Gui Shuirong Parametric analysis of dynamic characteristics of multicell single-box composite box girder bridge with corru- long span self-anchored suspension bridge J Bridge Construction 013 43 6 64-70 in Chinese 14 - J 009 6 9 50-55 Sun Jun Li Aiqun Ding Youliang et al Research on correlation of modal frequency and seasonal temperature of Runyang Suspension Bridge J Engineering Mechamics 009 6 9 50-55 in Chinese 15 M 1998 149-154 http / /journal seu edu cn