基于有效振动长度的多支撑斜拉索索力识别
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摘要
为了解决斜拉桥拉索的计算长度难以界定、索力计算困难的问题,基于模态振型比与模态频率相结合的概念,提出了一种准确测定斜拉索索力的新方法。该方法通过引入有效振动长度的概念,将复杂边界条件的斜拉索等效为简支欧拉梁,从而可以采用既有的索力计算公式进行计算。通过振动测试得到多阶振型和频率,将理论振型与实测振型之间的误差的平方和作为目标函数,采用优化的方法可以准确求解得到拉索的有限振动长度。最后通过数值算例,验证了方法的正确性。
In order to solve the problem that the calculation length of cables of cable-stayed bridges is hard to define and the calculation of cable forces is difficult,based on the concept that combines the ratio of modal to vibration mode and modal frequencies,a new method was proposed to accurately determine the cable tension.By introducing the concept of effective vibration length,the cable under complex boundary conditions was equivalent to simply supported Euler beam,so that the existing cable force calculation formula could be applied to the calculation.Multiple vibration modes and frequencies were obtained through vibration tests.The sum of the squared errors between the theoretical and measured vibration modes was set as an objective function.The accurate solution to the finite vibration length of the cable was achieved by the optimized method,and numerical examples were used to verify the correctness of the method.
In order to solve the problem that the calculation length of cables of cable-stayed bridges is hard to define and the calculation of cable forces is difficult,based on the concept that combines the ratio of modal to vibration mode and modal frequencies,a new method was proposed to accurately determine the cable tension.By introducing the concept of effective vibration length,the cable under complex boundary conditions was equivalent to simply supported Euler beam,so that the existing cable force calculation formula could be applied to the calculation.Multiple vibration modes and frequencies were obtained through vibration tests.The sum of the squared errors between the theoretical and measured vibration modes was set as an objective function.The accurate solution to the finite vibration length of the cable was achieved by the optimized method,and numerical examples were used to verify the correctness of the method.
引文
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[2]蔡永壮,王振龙,季英瑞.振弦式压力传感器在桥梁索力监测中的应用[J].筑路机械与施工机械化,2009,26(1):62-64.
[3]王海磊,刘睿星.光纤光栅传感器在斜拉桥拉索索力测试中的应用[J].重庆交通大学学报:自然科学版,2009,28(S1):405-407.
[4]张卓杰,王荣辉,甄晓霞,等.平行钢绞线斜拉索索力测试方法评价[J].桥梁建设,2016,46(2):42-47.
[5]冯志敏,邵磊,陈跃华.磁弹效应索力传感器的差动式温度补偿及试验研究[J].传感技术学报,2016,29(7):984-989.
[6]曹发源,虞庐松,翟启远.振动频率法测量斜拉桥索力的影响因素研究[J].铁道建筑,2017(5):27-30.
[7]闫维明,许晓建,李勇,等.基于振动频率法和优化功能的斜拉索索力测试研究[J].公路交通科技,2015,32(11):61-67.
[8]吉伯海,程苗,傅中秋,等.基于振动频率法的斜拉桥索力测试影响因素[J].中南大学学报:自然科学版,2015,46(7):2620-2625.
[9]王伟坤,刘世忠.马新大桥索力测试及调索计算方法[J].科学技术与工程,2016,16(16):276-278.
[10]李平杰.多支承索杆振动参数识别研究[D].广州:华南理工大学,2012.
[11]甘泉.复杂边界条件下索结构的内力识别方法研究[D].广州:华南理工大学,2015.
[12]魏金波,李国强,蒋夏子俊.弹性支承拉索动力特性研究[J].结构工程师,2011,27(3):25-30.
[13]乔陶鹏,严普强,邓焱,等.斜拉索索力估算中振动信号处理方法的改进[J].清华大学学报:自然科学版,2003,43(5):644-647.
[14]张宏跃,田石柱.提高斜拉索索力估算精度的方法[J].地震工程与工程振动,2004,24(4):148-151.
[15]李凤臣,刘青,王大鹏,等.斜拉索索力识别精度的提高方法[J].建筑科学与工程学报,2008,25(4):42-46.
[16]许俊.斜拉索索力简化计算中的精度分析[J].同济大学学报:自然科学版,2001,29(5):611-615