非平稳随机激励下高压输电塔-线体系地震响应
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摘要
为了研究地震动非平稳性对高压输电塔-线体系的地震响应,通过引入均匀调制函数,建立了高压输电塔-线体系非平稳随机地震反应的求解方法.由于地面加速度功率谱采用精细积分的格式,因此计算效率和精度都得到了提高.通过对某220kV高压输电塔-线体系进行地震响应分析,计算了平稳与非平稳随机激励下输电塔和导线的内力及位移反应.计算结果表明:考虑非平稳因素可使导线位移反应增大14.9%～26.8%,导线轴力增大14.9%～48.1%,输电塔的弯矩反应增大8.0%～13.5%.在非平稳随机激励下,考虑行波效应和部分相干效应会使导线的位移和轴力反应明显增大,因此,计算高压输电塔-线体系的地震响应必须考虑地震动非平稳性.
In order to study the seismic response of high voltage transmission tower-line system subjected to non-stationary ground shake,the solving method for the non-stationary stochastic seismic responses of high voltage transmission tower-line system was established through introducing the uniform modulation function. Due to the precise integration is utilized for calculating the power spectrum density,the computational efficiency and precision have been remarkably improved.Through performing the seismic responses analysis for a 220 kV high voltage transmission tower-line system,the displacement and internal force of tower and wire under both stationary and non-stationary stochastic excitations were calculated.The calculation results show that with considering the non-stationary factors,the longitudinal displacement of wire will increase by 14.9% to 26.8%,the axial force of wire will increase by 14.9%to 48.1%,and the bending moment of tower will increase by 8.0%to 13.5%.Under the non-stationary stochastic excitation,the displacement and axial force of wire will significantly increase with considering the traveling wave effect and partial coherence effect.Therefore,the nonstationarity of ground shake must be considered in calculating the seismic response of high voltage transmission tower-line system.
In order to study the seismic response of high voltage transmission tower-line system subjected to non-stationary ground shake,the solving method for the non-stationary stochastic seismic responses of high voltage transmission tower-line system was established through introducing the uniform modulation function. Due to the precise integration is utilized for calculating the power spectrum density,the computational efficiency and precision have been remarkably improved.Through performing the seismic responses analysis for a 220 kV high voltage transmission tower-line system,the displacement and internal force of tower and wire under both stationary and non-stationary stochastic excitations were calculated.The calculation results show that with considering the non-stationary factors,the longitudinal displacement of wire will increase by 14.9% to 26.8%,the axial force of wire will increase by 14.9%to 48.1%,and the bending moment of tower will increase by 8.0%to 13.5%.Under the non-stationary stochastic excitation,the displacement and axial force of wire will significantly increase with considering the traveling wave effect and partial coherence effect.Therefore,the nonstationarity of ground shake must be considered in calculating the seismic response of high voltage transmission tower-line system.
引文
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[15]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.(QU Tie-jun,WANG Jun-jie,WANG Qian-xin.A prac-tical model of seismic power spectrum density under spatial variation[J].Journal of Acta Seismologica Sini-ca,1996,18(1):55-62.)
[2]Ghobarah A,Aziz T S,El-Attar M.Response of trans-mission lines to multiple support excitation[J].Engi-neering Structures,1996,18(12):936-946.
[3]Albermani F G A,Kitipornchai S.Numerical simulation of structural behavior of transmission towers[J].Thin-Walled Structure,2006,41:167-177.
[4]Li H N,Shi W L,Wang G X,et al.Simplified models and experimental verification for coupled transmission tower-line system to seismic excitations[J].Journal of Sound and Vibration,2005,286:569-585.
[5]全伟,李宏男,岳茂光.多点激励下输电塔导线体系纵向地震反应分析[J].振动与冲击,2008,27(10):75-80.(QUAN Wei,LI Hong-nan,YUE Mao-guang.Longitu-dinal response of a power transmission tower-cable sys-tem under multi-support excitations[J].Journal of Vi-bration and Shock,2008,27(10):75-80.)
[6]岳茂光,李宏男,王东升,等.行波激励下输电塔导线体系纵向地震反应分析[J].中国电机工程学报,2006,26(23):145-150.(YUE Mao-guang,LI Hong-nan,WANG Dong-sheng,et al.Longitudinal response of a power transmission tower-cable system under travling seismic wave excitations[J].Proceedings of CSEE,2006,26(23):145-150.)
[7]田利,李宏男,黄连壮.多点激励下输电塔线体系的侧向地震反应分析[J].中国电机工程学报,2008,28(16):108-114.(TIAN Li,LI Hong-nan,HUANG Lian-zhuang.Lateral response of transmission tower-line system under multi-ple support excitations[J].Proceedings of CSEE,2008,28(16):108-114.)
[8]李宏男,胡大柱,黄连壮.地震作用下输电塔体系塑性极限状态分析[J].中国电机工程学报,2006,26(24):192-199.(LI Hong-nan,HU Da-zhu,HUANG Lian-zhuang.Plas-tic limit analysis of the transmission tower system sub-jected to earthquake action[J].Proceedings of the CSEE,2006,26(24):192-199.)
[9]Priestley M B.Power spectral analysis of nonstationary random processes[J].Journal of Sound and Vibration,1967(6):86-97.
[10]林家浩,钟万勰,张亚辉.大跨度结构抗震计算的随机振动方法[J].建筑结构学报,2002,21(1):62-69.(LIN Jia-hao,ZHONG Wan-xie,ZHANG Ya-hui.Seis-mic analysis of long span structures by means of ran-dom vibration approach[J].Journal of Building Struc-tures,2002,21(1):62-69.)
[11]Lu F,Gao Q,Lin J H,et al.Non-stationary random ground vibration due to loads moving along a railway track[J].Journal of Sound and Vibration,2006,298:30-42.
[12]Kalman T,Farzaneh M,McClure G.Numerical analysis of the dynamic effects of shock-load-induced ice shed-ding on overhead ground wires[J].Computers and Structures,2007,85(2):375-384.
[13]中华人民共和国电力工业部.GB50260——1996电力设施抗震设计规范[S].北京:中国计划出版社,1996.(Ministry of Electric Power Industry.GB50260——1996Earthquake resistant design code of electric equipment[S].Beijing:China Planning Press,1996.)
[14]Shama A A.Simplified procedure for simulating spatial-ly correlated earthquake ground motions[J].Engineer-ing Structures,2007,29:248-258.
[15]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.(QU Tie-jun,WANG Jun-jie,WANG Qian-xin.A prac-tical model of seismic power spectrum density under spatial variation[J].Journal of Acta Seismologica Sini-ca,1996,18(1):55-62.)
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