多点激励正弦振动的实数域控制算法研究  

Multi-exciter sine vibration control method in the real domain

作　　者：刘志华[1] 蔡晨光[1] 于梅[1] 夏岩[1] 李京胜[1] 

机构地区：[1]中国计量科学研究院,北京100029

出　　处：《振动工程学报》2016年第6期1003-1010,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金青年基金资助项目(51605461);中国博士后科学基金资助项目(2016M591229);公益性行业科研专项项目(201410009)

摘　　要：多点激励正弦振动系统能更加真实地模拟实际振动环境,更利于掌握产品的实际振动特性。针对传统频域迭代算法中复数计算的求解复杂性,对实数域控制算法进行研究。建立多点激励正弦振动控制的实数域数学模型,采用Broyden算法构建实数形式的阻抗矩阵,并对迭代步长进行优化,在此基础上提出实数域迭代算法的控制流程。最后对算法的可行性进行仿真分析和实验验证,结果表明:实数域控制算法的收敛速度快、响应精度高,且可以有效避免振荡过冲现象。Multi exciter sine vibration system has the ability to simulate more closely approximating real-world operating condi- tions which contributes to achieve the vibration characteristic of the test articles. The purpose of this paper is to present the real domain control method in order to avoid complex number operations in the traditional frequency domain iterative algorithm. The real domain mathematical model of multi-exciter sine vibration control is established. Broyden＇s method is formulated to deduce the real-valued impedance matrix. The iterative step used to determine the updated driving signal is optimized. On this basis, control flow to implement the real domain control method is introduced. Simulation and experiment are carried out to verify the effectiveness of the proposed control method. The results demonstrate that the real domain control method has an advantage of efficient convergence, precise response and overshoot avoidance.

关 键 词：振动控制 多点激励 拟牛顿算法 实数域 

分 类 号：TB535[理学—物理]