不确定刚度和边界约束条件下的轴力识别

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (20) : 208-215.

论文

不确定刚度和边界约束条件下的轴力识别

李东升1,2，陈琪舟1,2，魏达3，郭鑫3，姜涛1,2

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Axial force identification for uncertain stiffness and boundary constraints

LI Dongsheng1,2,CHEN Qizhou1,2,WEI Da3,GUO Xin3,JIANG Tao1,2

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文章历史 +

摘要

杆系作为桥梁和大跨空间结构等重要土木工程结构的主要受力构件，其轴力的检测非常重要。目前对于杆系结构的轴力识别大都建立在边界约束条件以及杆件刚度已知的基础之上，但大量研究表明实际工程中拉杆的边界约束条件由于荷载和环境条件的变化会变得比较复杂，其实际刚度与设计刚度可能并不相同。本文利用经典Timoshenko梁理论的动力方程，发现在模态信息已知的情况下，杆件轴力和抗弯刚度存在一定线性关系，因此提出利用此线性关系在未知边界约束条件下识别杆件轴力及抗弯刚度的方法。本文通过一个简支梁的数值模拟，以及三种不同截面杆件的轴力识别试验，验证了此方法的有效性。
关键词：Timoshenko梁；轴力识别；抗弯刚度；边界约束条件；模态信息

Abstract

As the main force component of bridge and long-span spatial structure in civil engineering, the measurement of axial force is very important. At present, axial force identification of truss structures is mostly based on the known boundary constraint conditions and stiffness of struts. However, a large number of studies have shown that the boundary constraint conditions of pull struts in practical engineering are complex with the change of loads and environmental conditions, and their actual stiffness is different from the design stiffness. Based on the dynamic equation of the classical Timoshenko beam theory, it is found that there is a certain functional relationship between the axial force and the flexural rigidity of the rods when the modal information is known. Therefore, a method for identifying the axial force and flexural rigidity of the rods under unknown boundary constraints is proposed. The validity of the method is verified by numerical simulation of a simply supported beam and axial force identification tests of three kinds of bars with different sections on a drawing machine.
Key words: Timoshenko beam; identification of axial force; bending stiffness; boundary conditions; modal information

导出引用

李东升1,2，陈琪舟1,2，魏达3，郭鑫3，姜涛1,2. 不确定刚度和边界约束条件下的轴力识别[J]. 振动与冲击, 2022, 41(20): 208-215

LI Dongsheng1,2,CHEN Qizhou1,2,WEI Da3,GUO Xin3,JIANG Tao1,2. Axial force identification for uncertain stiffness and boundary constraints[J]. Journal of Vibration and Shock, 2022, 41(20): 208-215

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