中文摘要：

为测得结构的较大位移,利用柔性悬臂梁的大变形研制了一种量程为±500mm的位移传感器.利用数值积分建立了柔性悬臂梁受法线方向力时的几何非线性本构关系,借助Matlab中Lobatto法对本构方程进行求解并获得了相应的挠度与集中力和固端弯矩曲线,分析了挠度与柔性悬臂梁各参数的关系及产生大变形的主要原因,通过试验和误差分析得出了本构关系的正确性和有效性.研究结果表明：柔性悬臂梁的几何非线性本构关系与试验结果符合,固端弯矩理论值在y方向上分量是产生大变形的主要原因,各项静态参数指标良好,此柔性悬臂梁大变形的本构关系可应用于构件或结构的大位移测量.

英文摘要：

Exploiting the large deformation of flexible cantilever beam（FCB）, a displacement sensor measuring range ±500 mm was developed to measure the larger displacement of structure. When FCB was applied with the normal direction force, the constitutive relation of geometric nonlinear was de- rived using the numerical integral method, constitutive equation and deflection and F/M curve was work out by Lobatto method in the Matlab software. Meanwhile, the correlation was analyzed be- tween deflection and parameters of FCB and the main cause of the large deformation. The constitutive relation was accurate and effective based on try and error analysis. In conclusion, the experimental re sult is consistent with the constitutive relation of geometric nonlinear for FCB, compenents in the y direction of fixed end moment tbeornetisal value is the main reason for the large deformation, FCB static parameters are well displayed, and constitutive relation of FCB can be used to measure the big range horizontal displacement of component or structure.