﻿ 基于频响函数矩阵法的薄板结构阻尼系数识别 Recognition of Structural Damping Coefficient of Thin Plate Based on the Frequency Response Matrix Method

Mechanical Engineering and Technology
Vol.06 No.02(2017), Article ID:20946,7 pages
10.12677/MET.2017.62019

Recognition of Structural Damping Coefficient of Thin Plate Based on the Frequency Response Matrix Method

Quanjun Zhu1, Xiying Fan2, Meigen Cao3, Qingpeng Han4, Jianxing Ren4, Tiancheng Li4

1Global energy Interconnection Research Institute, Beijing

2Research Institute of Economics and Technology, State Grid Shanxi Electric Power Company, Taiyuan Shanxi

3China electric power research Institute, Beijing

4College of Energy and Mechanical Engineering, Shanghai University of Electric Power, Shanghai

Received: May 25th, 2017; accepted: Jun. 7th, 2017; published: Jun. 14th, 2017

ABSTRACT

The distribution of system damp could be described by the internal friction and structure damped coefficient. It was important for design of reducing vibration of the damping structure. The damping coefficient of cantilever thin plate was identified by the frequency response function matrix method in this paper. The principle and test process were introduced. The test system was built to identify the damping coefficient. The thin plate was analyzed by the system. The data of the plate root were all bigger than that of freedom end no matter the damping matrix was inherent friction or the structural damping coefficient. The inner friction coefficient of low frequency band was bigger, while the structural damping coefficient of high frequency band was bigger.

Keywords:Frequency Response Function, Matrix Method, Thin Plate, Damping Coefficient

1全球能源互联网研究院，北京

2国网山西省电力公司经济技术研究院，山西 太原

3中国电力科学研究院，北京

4上海电力学院能源与机械工程学院，上海

1. 引言

2. 频响函数矩阵法识别阻尼系数的原理

2.1. 基于动刚度矩阵的识别原理

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

2.2. 基于动刚度矩阵的识别流程

(9)

(10)

(11)

(12)

3. 识别算法的模型校验理论

(1) 理论模型

(2) 识别算法校验

4. 钛基薄板悬臂结构阻尼系数识别

4.1. 钛基薄板悬臂梁阻尼系数识别

4.2. 实验结果

Figure 1. Concentrate mass system with three degrees of freedom

Figure 2. Frequency response of thin plate with titanium coating

Table 1. Parameters of concentrate mass system with three degrees of freedom

Table 2. Two different methods to solve the damping matrix of three degrees of freedom

Table 3. Recognization of damping coherence of thin plate without titanium coating by the symmetrical dynamic stiffness matrix method

Table 4. Recognization of damping coherence of thin plate with titanium coating by the symmetrical dynamic stiffness matrix method

5. 结论

Recognition of Structural Damping Coefficient of Thin Plate Based on the Frequency Response Matrix Method[J]. 机械工程与技术, 2017, 06(02): 133-139. http://dx.doi.org/10.12677/MET.2017.62019

1. 1. 李敏花, 柏猛, 吕英俊. LM算法在二阶过阻尼系统参数估计中的应用[J]. 自动化仪表, 2016, 36(7): 90-93.

2. 2. 胡钢墩, 李发泽. 惯性系统的时域在线辨识[J]. 控制与决策, 2010, 25(1): 133-136.

3. 3. 陈俊杰, 高康华, 孙敖. 爆炸条件下结构超压-冲量曲线简化计算研究[J]. 振动与冲击, 2016, 35(13): 224-232.

4. 4. Lee, J.-H. and Kim, J. (2001) Identification of Damping Matrices from Measured Frequency Response Functions. Journal of Sound and Vibration, 240, 545-556.

5. 5. Lee, J.-H. and Kim, J. (2001) Development and Validation of a New Experimental Method to Identify Damping Matrices of a Dynamic System. Journal of Sound and Vibration, 246, 505-524.