逆响应面法用于磨机传动系统的模型修正

Model Updating for Mill Transmission System Based on Inverse Response Surface Method

为了获得机械结构的精确模型,采用以逆响应面的有限元模型修正理论为基础的方法。逆响应面法直接拟合出设计参数(密度、弹性模量等)关于特征参数(固有频率等)的显式表达式,以特征参数目标值带入逆响应面函数得到修正后的设计参数值,相较于响应面法,无需迭代寻优,减少计算工作量。以齿轮轴和磨机传动轴为例,实现了以逆响应面法为基础的有限元模型修正,并计算修正前后模态频率误差,结果显示:逆响应面法模型修正效果较优于响应面法,进而验证了逆响应面法在机械结构动力学特性分析中的有效性。

In order to obtain the exact model of mechanical structure,the finite element model updating theory based on the inverse response surface is adopted. The inverse response surface method directly fits the explicit expressions between the design parameters(such as density and modulus of elasticity)and the characteristic parameters(such as natural frequency). The revised design parameters are obtained by introducing the objective value of the characteristic parameters into the inverse response surface function. Compared with the response surface method,the inverse response surface method does not need iterative optimization and reduces the computational workload. Taking gear shafts and mill transmission shafts as examples,the finite element model updating based on the inverse response surface method is realized,and the modal frequencies before and after the updating are compared. The results show that the model updating effect of the inverse response surface method is better than that of the response surface method,which further verifies the effectiveness of the inverse response surface method in the dynamic analysis of mechanical structures.