【摘要】 为方便计算多塔自锚式悬索桥的竖向自振频率,基于最简单的多塔自锚式悬索桥形式——三塔自锚式悬索桥,考虑主塔刚度对振动频率的影响,应用Rayleigh法,推导了1阶反对称和正对称竖弯振动频率计算公式,并提出主塔刚度影响系数的表达式。公式的精确性采用缩尺模型的模态测试结果和实际桥梁的数值分析结果进行验证。研究结果表明:主塔刚度对于三塔自锚式悬索桥的竖弯刚度影响较大,进行频率计算时不可忽略;影响程度可以通过给出的主塔刚度影响系数计算公式进行计算;公式计算结果与模态识别结果和数值分析结果的误差率均在3%以内,表明给出的公式具有较高的计算精度。更多还原

【Abstract】 In order to calculate vertical vibration frequencies of multi-tower self-anchored suspension bridge(MSSB)conveniently,the three-tower self-anchored suspension bridge(TSSB)was taken as research object,which is the simplest type of MSSB.Based on the Rayleigh method,frequency formulas for 1st anti-symmetric and symmetric vertical vibration modes of TSSB were derived in consideration of the influence of tower stiffness on vibration frequencies.The modal test results of scaled TSSB and numerical analysis result of TSSB were taken as examples to check the accuracy of proposed formulas respectively.The results show that:vertical frequencies are significantly affected by tower stiffness of TSSB and the extent of influence can be assessed by the main tower stiffness coefficients formulas.The errors between formulas calculation result and modal test result or numerical analysis result are within 3%,which shows the good accuracy of the frequency formulas.更多还原