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论文摘要

内置式双减振镗杆动力学模型参数优化

Parameters Optimization of Built-in Dual Damping Boring Bar’s Kinetic Model

作者:罗红波(四川大学 制造科学与工程学院);李伟(四川大学 制造科学与工程学院);唐才学(四川大学 制造科学与工程学院)

Author:Luo Hongbo(School of Manufacturing Sci. and Eng.,Sichuan Univ.);Li Wei(School of Manufacturing Sci. and Eng.,Sichuan Univ.);Tang Caixue(School of Manufacturing Sci. and Eng.,Sichuan Univ.)

收稿日期:2012-02-22          年卷(期)页码:2012,44(5):207-212

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:双减振镗杆;动力学模型;参数优化

Key words:dual damping boring bar;kinetic model;parameters optimization

基金项目:国家自然科学基金资助项目(51175357);四川省科技支撑项目资助项目(2009GZ0160)

中文摘要

为了进一步提高镗杆的减振特性,作者提出结构上采用内置式并联型双减振镗杆。建立并联型双减振镗杆的简化动力学模型,得到镗杆主系统的相对振幅和外界激励频率的函数表达式,要得到最小的相对振幅,就需要对此函数进行最小值求解,从而得到优化参数。对于3自由度系统的双减振镗杆情况,适用于2自由度的单减振镗杆的全局数值寻优搜索法已经不能满足优化要求。为了解决这个问题,考虑各因素后,采用分支定界(branch and bound) 算法,计算出了相对振幅的理论极小值和优化参数。对于宽频的减振效果,还需要利用幅频响应曲线面积最小法来校验优化参数。分别绘出用优化参数设计的双减振镗杆和同尺寸的单减振镗杆的幅频响应曲线图,可以看到优化的镗杆在幅值上远小于后者,说明这是一种比较有效的方法。

英文摘要

In order to further improve the damping characteristics of boring bar, the structure of built-in damping boring bar with dual absorbers was considered. Establishing the simplified dynamic model of shunt-wound dual boring bar,the function expressions of the boring bar’s relative amplitudes of the master system and external excitation frequency can be concluded. In order to get the minimum relative amplitude,this function needs to be minimized. Then the optimized parameters can be obtained. As to 3-DOF system of medium complexity,the global optimization search numerical method which suitable for 2-DOF is no longer applicable. To resolve this problem,using branch and bound algorithm after considering various factors, a theory minimal relative amplitude value and a set of optimum parameters were got. For the broadband damping effect,the amplitude-frequency response curve area minimization method is also required to check the parameters value. Drawing the amplitude-frequency response curves of the optimal dual damping boring bar and the same size single damping boring bar,it can be seen that amplitude of the optimization boring bar is smaller than the latter. It illuminates that this is a more effective way.

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