中文摘要：

为了对使用期的结构预张力变化进行监测和补偿分析,将各类引起预张力松弛的因素描述为杆件原长的变化量,建立预应力杆系结构张力偏差分析的数学模型.基于反映主动索索长变化和测点杆件内力变化关系的线性方程,通过分析该方程解的特性探讨监测点数的确定原则,提出一种根据杆件内力增量方差对主动索索长增量方差的敏感性来选择有效测点杆件的方法.根据测点杆件的内力偏差,推导求解主动索索力偏差或最小二乘估计值的计算公式,建议一个评判被动杆松弛影响大小的指标,提出补偿张力的计算方法.算例分析表明,该方法对于预应力杆系结构的预张力监测和补偿定量化分析是有效的.

英文摘要：

The mathematical model for analyzing the pre-tension deviation of prestressed pin-bar system was established in order to monitor and compensate of the tension deviation for in-service structures.The factors causing prestress relaxation were described as the change of member＇s initial length.Based on the equation,in which the relationship between the length variations of active cables and the axial-force variations of inspected members was reflected,the principle of determining the number of inspected members was discussed by analyzing the properties of that equation＇s roots.A method for locating the effective inspected members was also suggested by means of the variance sensitivity analysis of axial force increments of members to length increments of active cables.Equations were further deduced to calculate the tension deviation of active cables or their approximate least square solution according to the axial force deviation of inspected bars,and a parameter was defined to reflect the influence of relaxation of passive bars.The method for calculating the compensatory tension forces was proposed.An illustrative example shows that the method is effective for the quantitative monitoring and compensation analysis of tension deviation in pre-tensioned pin-bar structure.