基于非参数化与有限元的主轴刀柄结合面非线性参数识别

Nonlinear Parameter Identification of Spindle holder Interface by Nonparametric Identification Technique and Finite Element Method

摘要:

视主轴-刀柄结合面的双面接触部为一个可以用系统状态变量描述的非线性单元，基于非参数化方法结合有限元分析技术对主轴-刀柄结合面的非线性动态特征参数进行了识别。在HyperMesh中建立主轴-刀柄系统的有限元分析模型，利用Radioss求解器对该模型进行非线性瞬态响应分析，得到结合面处位移、速度、加速度的瞬态响应，再根据牛顿第二运动定律推导得出结合面处非线性接触力的时间历程数据，基于最小二乘法采用切比雪夫多项式对样本数据进行回归分析，得到主轴-刀柄结合面之间非线性接触力的解析表达模型，并验证了该模型的正确性。

Abstract:

Based on nonparametric identification technique and finite element method, a nonlinear dynamic parameter identification method for spindle-holder interface is presented, in which the double contact parts between spindle and holder is considered as a nonlinear element descripting by system state variables. A finite element model of spindle holder system is constructed by HyperMesh，and its nonlinear transient response analysis is conducted using Radioss solver. With Newton's second law of motion，the time history data of nonlinear contact force of the interface then be deduced. Least square estimates with the Chebyshev polynomial basis is employed to approximate the sample data, and an analytic model of the nonlinear contact force of the interface is obtained.