地震表面波引起高桥墩的动力屈曲分析
|
摘要
考虑大变形的影响,建立高桥墩在地震表面Rayleigh波引起的地基椭圆运动时的非线性动力学基本方程式.通过位移形函数假设,采用伽辽金积分方法得到了时间变率的动力学控制方程.对时间变率的非线性微分方程进行数值求解,给出了同一地震波不同强度下高桥墩的位移响应曲线以及从产生横向振动到失稳的全过程,得到了地震波冲击时高桥墩失稳的临界地震加速度和失稳时刻.通过数值算例比较了地震波幅值、高桥墩柔度以及桥面质量大小对位移幅值响应曲线、临界地震加速度和失稳时刻的影响.
Considering the influence of large deformation,the non-linear dynamic equations of a high pier under the foundation ellipse motion caused by Rayleigh wave by earthquake were established.By supposing the displacement shape function and applying the Galerkin method,the dynamic equations about time were obtained.By processing numerical calculation,the displacement response curves of the high pier under the foundation ellipse motion with different magnitude and the overall process from the transverse vibration to the instability of the high pier were given.The critical seismic acceleration and the instability time were obtained.The influence of different seismic peaks,the slenderness ratio and the weight of the bridge on the displacement response,the critical seismic acceleration and the instability time were analyzed.
Considering the influence of large deformation,the non-linear dynamic equations of a high pier under the foundation ellipse motion caused by Rayleigh wave by earthquake were established.By supposing the displacement shape function and applying the Galerkin method,the dynamic equations about time were obtained.By processing numerical calculation,the displacement response curves of the high pier under the foundation ellipse motion with different magnitude and the overall process from the transverse vibration to the instability of the high pier were given.The critical seismic acceleration and the instability time were obtained.The influence of different seismic peaks,the slenderness ratio and the weight of the bridge on the displacement response,the critical seismic acceleration and the instability time were analyzed.
引文
[1]赵明华,王季柏.基桩计入摩擦力的屈曲分析[J].岩土工程学报,1996,18(3):87-90.ZHAO Ming-hua,WANG Ji-bai.An buckling analysis on basepiles joint with frictional forces take into consideration[J].Chi-nese Journal of Geotechnical Engineering,1996,18(3):87-90.(In Chinese)
[2]汪优,赵明华,黄靓.桥梁基桩屈曲机理及其分析方法[J].中南公路工程,2005,30(4):22-26.WNAG You,ZHAO Ming-hua,HUANG Liang.Reseachs ofbuckling mechanism and analytic methods of piles[J].CentralSouth Highway Engineering,2005,30(4):22-26.(In Chi-nese)
[3]严东晋,宋启根.结构冲击屈曲准则讨论[J].工程力学,1997,11(4):18-28.YAN Dong-jin,SONG Qi-gen.Discussion on the criteria ofstructural impact buckling[J].Engineering Mechanics,1997,11(4):18-28.(In Chinese)
[4]BAKKER M C M.Shear-flexural buckling of cantilever col-umns under uniformly distributed load[J].Journal of Engi-neering Michanics,2006,132(11):1160-1167.
[5]王安稳.轴向冲击载荷下圆柱壳的塑性动力屈曲的问题[J].海军工程大学学报,2004,16(6):1-8.WANG An-wen.Plastic dynamic buckling of cylindrical shellsunder axial impulsive loads[J].Journal of Naval University ofEngineering,2004,16(6):1-8.(In Chinese)
[6]孙强.伸出地面上基桩的动力稳定性研究[J].岩土工程学报,2003,25(4):459-462.SUN Qiang.Analysis of dynamic stability of foundation pilestretching out of ground[J].Chinese Jounal of GeotechnicalEngineering,2003,25(4):459-462.(In Chinese)
[7]孙强.竖向动荷载下桩土参数对基桩动力稳定性的影响[J].工程抗震,2004,3(3):33-37.SUN Qiang.Influence of pile-soil parameters under verticaldynamic loads on dynamic stability of foundation pile[J].Earthquake Resistant Engineering,2004,3(3):33-37.(InChinese)
[8]孙强.竖向谐振荷载下摩擦桩的横向振动性能研究[J].振动与冲击,2006,25(4):85-87.SUN Qiang.Study on transverse vibration behavior of a fric-tion pile under vertical harmonic loads[J].Journal of Vibrationand Shock,2006,25(4):85-87.(In Chinese)
[9]罗松南,李礼,周慧,等.冲击荷载下两端简支高桥墩的动力屈曲[J].振动与冲击,2009,28(12):1-3.LUO Song-nan,LI Li,ZHOU Hui,et al.Dynamic buckling ofhigh pier with two ends simply supported under impulse loads[J].Journal of Vibration and Shock,2009,28(12):1-3.(InChinese)
[10]郭修武.公路桥梁构件自重标准值的确定[J].中国公路学报,1997,10(1):33-38.GUO Xiu-wu.Determination of standard value for the selfweightof highway bridge member[J].China Journal of High-way and Transport,1997,10(1):33-38.(In Chinese)
[11]LUO Song-nan,FU Yi-ming,CAO Zhi-yuan.Non-linear vi-bration of composite beams with an arbitrary delamination[J].Journal of Sound and Vibration,2004,271:535-545.
[12]罗松南,傅衣铭,曹志远.梁非线性动力分析中剪切力和轴力的相互影响[J].湖南大学学报:自然科学版,1999,26(3):9-12.LUO Song-nan,FU Yi-ming,CAO Zhi-yuan.Interaction ofshearing and axial forces in nonlinear dynamic analysis of beam[J].Journal of Hunan University:Naturnal Sciences,1999,26(3):9-12.(In Chinese)
[13]王德禹.受静载作用的直杆在轴向冲击荷载下的屈曲[J].振动与冲击,1997,16(1):35-37.WANG De-yu.Buckling of a statically pre-loaded column un-der axial impact load[J].Journal of Vibration and Shock,1997,16(1):35-37.(In Chinese)
[2]汪优,赵明华,黄靓.桥梁基桩屈曲机理及其分析方法[J].中南公路工程,2005,30(4):22-26.WNAG You,ZHAO Ming-hua,HUANG Liang.Reseachs ofbuckling mechanism and analytic methods of piles[J].CentralSouth Highway Engineering,2005,30(4):22-26.(In Chi-nese)
[3]严东晋,宋启根.结构冲击屈曲准则讨论[J].工程力学,1997,11(4):18-28.YAN Dong-jin,SONG Qi-gen.Discussion on the criteria ofstructural impact buckling[J].Engineering Mechanics,1997,11(4):18-28.(In Chinese)
[4]BAKKER M C M.Shear-flexural buckling of cantilever col-umns under uniformly distributed load[J].Journal of Engi-neering Michanics,2006,132(11):1160-1167.
[5]王安稳.轴向冲击载荷下圆柱壳的塑性动力屈曲的问题[J].海军工程大学学报,2004,16(6):1-8.WANG An-wen.Plastic dynamic buckling of cylindrical shellsunder axial impulsive loads[J].Journal of Naval University ofEngineering,2004,16(6):1-8.(In Chinese)
[6]孙强.伸出地面上基桩的动力稳定性研究[J].岩土工程学报,2003,25(4):459-462.SUN Qiang.Analysis of dynamic stability of foundation pilestretching out of ground[J].Chinese Jounal of GeotechnicalEngineering,2003,25(4):459-462.(In Chinese)
[7]孙强.竖向动荷载下桩土参数对基桩动力稳定性的影响[J].工程抗震,2004,3(3):33-37.SUN Qiang.Influence of pile-soil parameters under verticaldynamic loads on dynamic stability of foundation pile[J].Earthquake Resistant Engineering,2004,3(3):33-37.(InChinese)
[8]孙强.竖向谐振荷载下摩擦桩的横向振动性能研究[J].振动与冲击,2006,25(4):85-87.SUN Qiang.Study on transverse vibration behavior of a fric-tion pile under vertical harmonic loads[J].Journal of Vibrationand Shock,2006,25(4):85-87.(In Chinese)
[9]罗松南,李礼,周慧,等.冲击荷载下两端简支高桥墩的动力屈曲[J].振动与冲击,2009,28(12):1-3.LUO Song-nan,LI Li,ZHOU Hui,et al.Dynamic buckling ofhigh pier with two ends simply supported under impulse loads[J].Journal of Vibration and Shock,2009,28(12):1-3.(InChinese)
[10]郭修武.公路桥梁构件自重标准值的确定[J].中国公路学报,1997,10(1):33-38.GUO Xiu-wu.Determination of standard value for the selfweightof highway bridge member[J].China Journal of High-way and Transport,1997,10(1):33-38.(In Chinese)
[11]LUO Song-nan,FU Yi-ming,CAO Zhi-yuan.Non-linear vi-bration of composite beams with an arbitrary delamination[J].Journal of Sound and Vibration,2004,271:535-545.
[12]罗松南,傅衣铭,曹志远.梁非线性动力分析中剪切力和轴力的相互影响[J].湖南大学学报:自然科学版,1999,26(3):9-12.LUO Song-nan,FU Yi-ming,CAO Zhi-yuan.Interaction ofshearing and axial forces in nonlinear dynamic analysis of beam[J].Journal of Hunan University:Naturnal Sciences,1999,26(3):9-12.(In Chinese)
[13]王德禹.受静载作用的直杆在轴向冲击荷载下的屈曲[J].振动与冲击,1997,16(1):35-37.WANG De-yu.Buckling of a statically pre-loaded column un-der axial impact load[J].Journal of Vibration and Shock,1997,16(1):35-37.(In Chinese)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心