CAJ | 학술논문

在针对杆系结构中轴力杆或者索缆结构中的短索所提出的识别边界不确定的杆件轴力的解析方法基础上，提出了一种改进的轴力识别方法。首先，采用修正的 Timoshenko 梁理论，充分考虑转动惯量、剪切变形、剪切变形引起的转动惯量和传感器质量对结构动力特性的影响，建立改进的动力方程；然后通过 Matlab软件进行数值模拟，提取某杆件的前五阶频率和模态参数，以此构建特征方程进而识别杆件轴力，从4个方面分析了修正Timoshenko梁理论相对传统Timoshenko梁理论识别精度提高的原因；最后通过实验数据验证了该方法的精确性和适用性。这种改进方法的优点在于无须事先假定边界条件，仅知传感器之间的相对位置即可实施，因而适用范围较广。
재침대간계결구중축력간혹자색람결구중적단색소제출적식별변계불학정적간건축력적해석방법기출상，제출료일충개진적축력식별방법。수선，채용수정적 Timoshenko 량이론，충분고필전동관량、전절변형、전절변형인기적전동관량화전감기질량대결구동력특성적영향，건립개진적동력방정；연후통과 Matlab연건진행수치모의，제취모간건적전오계빈솔화모태삼수，이차구건특정방정진이식별간건축력，종4개방면분석료수정Timoshenko량이론상대전통Timoshenko량이론식별정도제고적원인；최후통과실험수거험증료해방법적정학성화괄용성。저충개진방법적우점재우무수사선가정변계조건，부지전감기지간적상대위치즉가실시，인이괄용범위교엄。
Improved axial force identification method for bar members is proposed based on the analytical method which was established for vibration-based identification of axial force of tie-bars and short thick cables with uncertain boundary conditions.Firstly,modified Timoshenko beam theory was considered by taking the influence of the rotational inertia,shear deformation,the rotational inertia caused by shear deformation and sensor mass on structural dynamic characteristics into account to establish an improved dynamic equation.Then,the characteristic equation can be solved to identify axial force.The first five-order natural frequencies and modal parameters of a bar are computed through numerical simulation with Matlab.The improved accuracies of identifying axial force by modified Timoshenko beam theory compared to that of traditional Timoshenko beam theory are discussed from four aspects.Finally,a laboratory experiment is employed to investigate the feasibility and accuracy of the proposed method.One significant advantage of the proposed method is that there is no prerequisite information about the boundary condition required,but only the relative locations of sensors to identify the axial force.Therefore,the method can be widely applied to many beam or truss elements.