利用曲线转角的悬臂梁刚度薄弱环节辨识方法

    Identification of Weak Links in Cantilever Beam Stiffness Using Curved Corner

    • 摘要: 机床结构刚度薄弱环节的辨识问题是提升机床加工性能的关键环节.提出将机床结构等效为悬臂梁结构,并且利用动态测试的方法研究悬臂梁的静刚度.据此,提出一种利用曲线转角指标辨识悬臂梁刚度薄弱环节的方法.以悬臂梁的MATLAB有限元模型为数值算例,利用状态空间法获取数值模型各节点的动态数据,经傅里叶变换后,提取0 Hz处幅值进行转角指标的构建,采用单元的弹性模量的减弱来模拟刚度的薄弱环节,研究悬臂梁的单个单元刚度减弱、2个单元刚度减弱和3个单元刚度减弱以及有噪声参与的3种情况下转角指标评估效果.经算例仿真、实验研究表明,利用曲线转角指标能较好地评估悬臂梁的薄弱环节,具有一定的工程实用价值.

       

      Abstract: Identification of weak links in machine tool structural rigidity is a key link to improving machine tool machining performance. In this paper, the machine tool structure was equivalent to a cantilever beam structure, and the static stiffness of the cantilever beam was studied by dynamic testing. Based on this, a method was proposed to identify the weak link of cantilever beam stiffness by using curve corner index. The MATLAB finite element model of cantilever beam was taken as a numerical example, and the dynamic data of each node of the numerical model was obtained by using the state space method. After Fourier transform, the amplitude at 0 Hz was extracted to construct the corner index. The weakening of the elastic modulus of the element was used to simulate the weak link of the stiffness. The evaluation effect of the corner index under the three conditions of single element stiffness weakening, two element stiffness weakening, three element stiffness weakening and noise participation was studied respectively. The numerical simulation and experimental research show that the curve corner can be used to better evaluate the weak link of cantilever beam and has certain practical engineering value.

       

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