摘要
拉索及吊杆张力测试结果的正确与否直接关系到桥梁状态的合理确定。基于两端固结梁在轴向拉力作用下横向振动方程,在找出解的规律之后,拟合出轴向拉力与梁的抗弯刚度、长度、线密度及振动频率之间的数值关系,并由此得出适用于拉索和吊杆张力测试计算公式,结果表明该公式具有良好的精度和适用范围。讨论了基于简支梁和弦模型得到的张力测试公式的适用范围,分析表明传统的索力测试公式仅适用于索长细比L/D不小于600时的情形,而本文公式即使L/D小于70亦能给出误差不超过2%的结果。
The tension measurement of cables and suspenders is inevitable to evaluate the condition of bridges. Based on the transverse vibration equation of a beam fixed at both ends with axial tension and its solution, a practical frequency equation used to easily determine a cable or suspender tension is proposed. The results from case studies demonstrate that the equation developed can simulate the tension condition well both for short suspenders and long cables. The feasibility of traditional frequency-based equations for cable tension measurement is discussed, which indicates that the traditional equations are feasible only for those cables or suspenders with the slenderness ratio L/D more than 600, but using the equations developed here, even though the slenderness ratio L/D is less than 70, a good result with relative error less than 2% can be obtained.
出处
《振动与冲击》
EI
CSCD
北大核心
2007年第9期78-82,共5页
Journal of Vibration and Shock
关键词
频率
张力
索
吊杆
长细比
frequency
tension
cable
suspender
slenderness ratio
