柔性多自由度力-位移混合控制在结构循环往复试验中的应用研究

Application of flexible multi-degree-of-freedom force-displacement hybrid control in structural cyclic test

  • 摘要: 如何模拟试验体在结构中受到的真实边界条件是决定结构试验结果正确性的关键问题,即在边界加载点上实现多自由度系统的命令的准确加载。土木工程结构(或构件)一般竖向刚度大,在重力荷载作用下各个自由度之间存在较强的耦合作用,采用传统方法多个作动器单独加载控制精度低,甚至会出现加载控制失稳的现象。针对这个问题,发展一种可以根据试验体和试验装置特点灵活选择控制点自由度和作动器的力或位移控制方式的混合控制方法,即柔性多自由度力?位移混合控制(FMFDC)策略,提出广义刚度矩阵来近似等效试验体的力-位移关系,并基于广义刚度矩阵设计力?位移转换系数矩阵,采用坐标转换雅可比矩阵将加载装置的几何非线性线性化,采用比例-积分-微分控制方法(PID 控制方法)保证各自由度的稳态误差满足精度要求,最终实现多自由度协调加载。基于柔性多自由度力-位移混合控制方法分别建立了六自由度和平面内三自由度加载平台,以小型铁皮筒试验体和足尺钢柱的循环往复试验进行验证,试验结果验证了这种控制方法的可行性和适用性。

     

    Abstract: Simulating the real boundary conditions of a test specimen in a structure is one key problem determining the correction of the structural test results,i.e.,to realize the accurate loading of commands of multi-degree-of-freedom system on boundary loading point. Civil engineering structures(or components)generally have large vertical stiffness,and there is a strong coupling between various degrees of freedom under gravity load. The traditional loading method with actuator controlled independent has low accuracy,and even loading control becomes unstable during test. To solve this problem,a flexible multi-degree-of-freedom force-displacement hybrid control(FMFDC)strategy is developed,which can flexibly design the control mode(force or displacement)of the degrees of freedom at control points and the actuators according to the characteristics of test specimen and test equipment,propose the general stiffness matrix to equivalent model the material nonlinearity of the test specimen approximately,and design the force-displacement transform matrix,then use the coordinate transformation Jacobian matrix to linearize the geometric nonlinearity of the loading device. The proportional-integral-derivative control method(PID control method)then minimizes the steady-state error of every degree of freedom to satisfy the accuracy requirements and finally realizes the MDOF coordinated loading. To validate FMFDC,both a six degrees of freedom table,and an in-plane three degrees of freedom loading platform are used. Cyclic tests on a small-scale steel tube specimen and a full-scale steel column are conducted respectively to verify the feasibility and applicability of this control method.

     

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