自锚式悬索桥自由振动研究
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摘要
悬索桥自振特性分析是研究悬索桥抗风、抗震以及其它动力效应的基础.考虑加劲梁的压弯效应,计入大缆倾角和纵向位移的影响,基于大位移不完全广义势能泛函分析,运用变分原理推导了双塔三跨连续自锚式悬索桥加劲梁的自由振动微分方程,并根据简化后的微分方程得到自锚式悬索桥纵向和竖向频率计算公式,最后通过两个算例验证公式基本合理.
The study of the character istics of suspensions free vibrations is basic to the analysis of shock resistance,wind resistance and so on.Considering the effect of coupling of flexural and axial action,big cable tilt angle and cable longitudinal displacement,based on functional analysis,and by applying the variation method,this paper draws free vibrations differential equation of double towers and three continuous spans self-anchored suspension bridges.According to simplistic differential equation,the paper establishes the formula which can calculate self-anchored longitudinal vibration and vertical vibration frequency.Finally,through tow examples to check the formulas,they are proved right.
The study of the character istics of suspensions free vibrations is basic to the analysis of shock resistance,wind resistance and so on.Considering the effect of coupling of flexural and axial action,big cable tilt angle and cable longitudinal displacement,based on functional analysis,and by applying the variation method,this paper draws free vibrations differential equation of double towers and three continuous spans self-anchored suspension bridges.According to simplistic differential equation,the paper establishes the formula which can calculate self-anchored longitudinal vibration and vertical vibration frequency.Finally,through tow examples to check the formulas,they are proved right.
引文
[1]许琪楼,王仁义,常少英.四边支承矩形板自由振动的精确解法[J].郑州工业大学学报,2001,22(1):1-5.
[2]许琪楼,许蕾.三边支承一边自由矩形板自由振动分析[J].郑州大学学报:工学版,2003,24(1):5-10.
[3]李国豪.桥梁结构稳定与振动[M].修订版.北京:中国铁道出版社,2002:375-383.
[4]小西一郎.钢桥[M].第五册.戴振藩,译.北京:中国铁道出版社,1981:71~84.
[5]陈仁福.大跨度悬索桥理论[M].成都:西南交通大学出版社,1994:73-78.
[6]Abdel-Ghaffar A M.Free lateral vibration of suspen-sion bridge[J].ASCE,1978,104(ST3):503-508.
[7]张宏斌,孔宪京,张哲,等.自锚式悬索桥动力特性[J].公路交通科技,2004,21(7):66~69.
[8]丰硕,项贻强,谢旭,等.自锚式悬索桥动力特性及结构参数影响规律研究[J].世界桥梁,2004(4):50~53.
[9]刘春城.混凝土自锚式悬索桥三维地震反应研究[D].大连:大连理工大学桥梁研究所,2003:19~32.
[10]刘春城,张哲,石磊.压弯耦合效应下自锚式悬索桥自由振动研究[J].哈尔滨工业大学学报,2004,36(1):109~111.
[11]林家浩,屈乃泗,孙焕纯.计算结构动力学[M].北京:高等教育出版社,1989:76~113.
[12]戴晓春.自锚式悬索桥计算分析研究[D].成都:西南交通大学土木工程学院,2005:61~67.
[2]许琪楼,许蕾.三边支承一边自由矩形板自由振动分析[J].郑州大学学报:工学版,2003,24(1):5-10.
[3]李国豪.桥梁结构稳定与振动[M].修订版.北京:中国铁道出版社,2002:375-383.
[4]小西一郎.钢桥[M].第五册.戴振藩,译.北京:中国铁道出版社,1981:71~84.
[5]陈仁福.大跨度悬索桥理论[M].成都:西南交通大学出版社,1994:73-78.
[6]Abdel-Ghaffar A M.Free lateral vibration of suspen-sion bridge[J].ASCE,1978,104(ST3):503-508.
[7]张宏斌,孔宪京,张哲,等.自锚式悬索桥动力特性[J].公路交通科技,2004,21(7):66~69.
[8]丰硕,项贻强,谢旭,等.自锚式悬索桥动力特性及结构参数影响规律研究[J].世界桥梁,2004(4):50~53.
[9]刘春城.混凝土自锚式悬索桥三维地震反应研究[D].大连:大连理工大学桥梁研究所,2003:19~32.
[10]刘春城,张哲,石磊.压弯耦合效应下自锚式悬索桥自由振动研究[J].哈尔滨工业大学学报,2004,36(1):109~111.
[11]林家浩,屈乃泗,孙焕纯.计算结构动力学[M].北京:高等教育出版社,1989:76~113.
[12]戴晓春.自锚式悬索桥计算分析研究[D].成都:西南交通大学土木工程学院,2005:61~67.
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