CN103207600B - Multi-node network vibration abatement device and method - Google Patents

Multi-node network vibration abatement device and method Download PDF

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CN103207600B
CN103207600B CN201310073361.4A CN201310073361A CN103207600B CN 103207600 B CN103207600 B CN 103207600B CN 201310073361 A CN201310073361 A CN 201310073361A CN 103207600 B CN103207600 B CN 103207600B
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vibration
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CN103207600A (en
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闫桂荣
罗景琳
赵建平
王成
赵金伟
李�浩
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Xian Jiaotong University
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Abstract

本发明公开了一种多节点网络振动抑制装置及振动抑制方法,振动抑制装置包括显示及控制单元、通信总线、多个节点抑制单元,显示及控制单元以pc机为平台,通过通信总线将各结构点传递特性的估计以及控制频率wi发送给各节点抑制单元,实时监控各结构点响应,从而起到全局控制的作用。节点抑制单元以DSP处理器为核心,通过测量某点结构响应Y(ejw),采用改进的反馈谐频抑制算法,以结构响应Y(ejw)的模最小为评价准则实时迭代计算出控制信号U(ejw),使某结构点的响应减小,从而起到在局部抑制的作用。

The invention discloses a multi-node network vibration suppression device and a vibration suppression method. The vibration suppression device includes a display and control unit, a communication bus, and a plurality of node suppression units. Estimation of Transfer Properties of Structural Points And the control frequency w i is sent to each node suppression unit to monitor the response of each structural point in real time, thus playing the role of global control. The node suppression unit takes the DSP processor as the core, by measuring the structural response Y(e jw ) of a certain point, using the improved feedback harmonic frequency suppression algorithm, and taking the minimum model of the structural response Y(e jw ) as the evaluation criterion to iteratively calculate the control in real time The signal U(e jw ) reduces the response of a certain structural point, thereby playing the role of local inhibition.

Description

一种多节点网络振动抑制装置及振动抑制方法A multi-node network vibration suppression device and vibration suppression method

技术领域technical field

本发明涉及一种用于抑制大型柔性结构的多节点网络振动抑制装置及振动抑制方法。The invention relates to a multi-node network vibration suppression device and vibration suppression method for suppressing large flexible structures.

背景技术Background technique

大型柔性结构在工程中有广泛的应用,例如卫星天线,悬索桥等。为了使大型柔性结构在扰动激励下振动得到抑制,并且保持其几何形状(特别是卫星天线),就需要采取一些控制方法。现有方法通常采取一个主要控制点来单纯局部抑制整体结构振动,但对于复杂的整个结构,往往一个控制点所到达的控制效果不能满足设计需求。Large flexible structures are widely used in engineering, such as satellite antennas, suspension bridges, etc. In order to suppress the vibration of large flexible structures under disturbance excitation and maintain their geometry (especially satellite antennas), some control methods are needed. Existing methods usually adopt a main control point to suppress the vibration of the whole structure locally, but for complex whole structures, the control effect achieved by one control point often cannot meet the design requirements.

在工作过程中,机械结构主要经历随机振动,但值得指出的是,机械结构振动响应是其固有特性和外部施加载荷的综合反映。当外部载荷的频率与结构的固有频率相等或接近时,会引起结构比较大的共振响应。或当外部载荷所含某一频率的能量比较大时,只要它没有作用在结构振动模态的节点上,也会导致结构产生较大的强迫振动。如果能直接抑制住结构某点的振动响应能量较大的几阶频率成分,就可以得到该点良好的减振效果。During the working process, the mechanical structure mainly experiences random vibration, but it is worth pointing out that the vibration response of the mechanical structure is a comprehensive reflection of its inherent characteristics and externally applied loads. When the frequency of the external load is equal to or close to the natural frequency of the structure, it will cause a relatively large resonance response of the structure. Or when the energy of a certain frequency contained in the external load is relatively large, as long as it does not act on the nodes of the structural vibration mode, it will also cause a large forced vibration of the structure. If several order frequency components with larger vibration response energy at a certain point of the structure can be directly suppressed, a good vibration damping effect at that point can be obtained.

发明内容Contents of the invention

本发明的目的是通过对大型柔性结构的分析,将多个传感器和控制器布置在结构的关键点上,提供一种全局-局部联合的多节点网络振动抑制装置及振动抑制方法,使整个结构的减振效果得到显著提高。The purpose of the present invention is to provide a global-local combined multi-node network vibration suppression device and vibration suppression method by arranging multiple sensors and controllers on the key points of the structure through the analysis of large flexible structures, so that the entire structure The vibration damping effect has been significantly improved.

为达到以上目的,本发明是采用如下技术方案予以实现的:To achieve the above object, the present invention is achieved by adopting the following technical solutions:

一种多节点网络振动抑制装置,其特征在于,包括一个显示及控制单元,该显示及控制单元通过一个通信总线连接n个节点抑制单元,其中,n≥2,每个节点抑制单元的控制输出端通过一个功放和一个振动台连接振动抑制对象的一个节点,该节点通过一个电荷放大器和一个传感器连接该节点抑制单元的数据采集端;所述显示控制单元包括结构振动显示模块、主成份分析模块和有限元分析模块,来自各节点抑制单元的抑制对象各节点的振动响应数据通过通信总线输入至结构振动显示模块、主成份分析模块和有限元分析模块,其中,有限元分析模块分析后输出各节点结构的传递特性估计主成份分析模块分析后输出各节点结构的三阶主要频率wi,i=1,2,3,通过通信总线发送给各节点抑制单元,结构振动显示模块将各节,点的振动响应数据进行分析并显示;所述节点抑制单元以DSP处理器为核心,通过数据采集模块获得振动抑制对象一个节点的振动响应数据,在可编程逻辑器件PLD的协助下通过信号合成模块来局部控制该节点的振动。A multi-node network vibration suppression device is characterized in that it includes a display and control unit, and the display and control unit is connected to n node suppression units through a communication bus, wherein, n≥2, the control output of each node suppression unit The end is connected to a node of the vibration suppression object through a power amplifier and a vibration table, and the node is connected to the data acquisition end of the node suppression unit through a charge amplifier and a sensor; the display control unit includes a structural vibration display module and a principal component analysis module and the finite element analysis module, the vibration response data of each node of the suppression object from the suppression unit of each node is input to the structural vibration display module, the principal component analysis module and the finite element analysis module through the communication bus, wherein the finite element analysis module outputs each Estimation of Transfer Characteristics of Nodal Structures After analysis, the principal component analysis module outputs the third-order main frequency w i of each node structure, i=1, 2, 3, and sends it to each node suppression unit through the communication bus, and the structural vibration display module performs the vibration response data of each node and point Analysis and display; the node suppression unit takes the DSP processor as the core, obtains the vibration response data of a node of the vibration suppression object through the data acquisition module, and locally controls the vibration of the node through the signal synthesis module with the assistance of the programmable logic device PLD vibration.

上述装置中,所述数据采集模块包括两路,每一路均由一个可编程放大器PGA和一个模数转换器AD构成,其中一路采集振动抑制对象一个节点的结构振动时域响应信号,经DSP转变为频域响应信号Y(ejw);另一路采集来自信号合成模块反馈的频域控制信号U(ejw),作为相位基准,用于计算Y(ejw)的相位;所述信号合成模块由三路数字频率合成器DDS和一个加法器构成,三路DDS分别产生Y(ejw)中三个主要振动成分相应的正弦信号,加法器将这三路信号合成起来作为控制信号U(ejw)万输出。In the above device, the data acquisition module includes two channels, each of which is composed of a programmable amplifier PGA and an analog-to-digital converter AD, wherein one channel collects the time-domain response signal of the structural vibration of a node of the vibration suppression object, and transforms it through the DSP It is the frequency domain response signal Y (e jw ); the other way collects the frequency domain control signal U (e jw ) fed back from the signal synthesis module as a phase reference for calculating the phase of Y (e jw ); the signal synthesis module It is composed of three-way digital frequency synthesizer DDS and an adder. The three-way DDS respectively generate sinusoidal signals corresponding to the three main vibration components in Y(e jw ), and the adder synthesizes these three-way signals as the control signal U(e jw ) million output.

所述的通信总线包括usb总线转CAN总线转换器和连接各节点抑制单元的CAN总线。The communication bus includes a usb bus to CAN bus converter and a CAN bus connected to each node suppression unit.

一种振动抑制方法,采用前述的多节点网络振动抑制装置实现,其特征在于,包括下述步骤:A vibration suppression method, which is realized by the aforementioned multi-node network vibration suppression device, is characterized in that it includes the following steps:

(1)全局监视和控制(1) Global monitoring and control

首先,显示及控制单元通过对来自各节点抑制单元对应节点的振动响应数据在有限元分析模块和主成份分析模块中进行分析,分别得到各节点结构的传递特性估计以及三阶主要频率wii=1,2,3,然后通过通信总线发送给各节点抑制单元;结构振动显示模块将各节点的振动响应数据进行分析并显示,以振动抑制对象整体响应幅值为评价准则,实时调整各节点抑制单元对应节点结构振动的控制;First, the display and control unit analyzes the vibration response data from the corresponding nodes of each node suppression unit in the finite element analysis module and the principal component analysis module to obtain the transfer characteristic estimation of each node structure And the third-order main frequency w i i = 1, 2, 3, and then sent to each node suppression unit through the communication bus; the structural vibration display module analyzes and displays the vibration response data of each node, and uses the overall response amplitude of the vibration suppression object As an evaluation criterion, adjust the control of the structural vibration of each node suppression unit corresponding to the node structure in real time;

(2)节点抑制单元对应各节点结构振动的控制(2) Nodal suppression unit corresponds to the control of structural vibration of each node

各节点抑制单元通过数据采集模块接收各自节点结构的振动响应数据,DSP根据显示及控制单元发来的和wi,将该节点结构的振动响应数据转换为频域响应信号Y(ejw),接着根据现有反馈谐频抑制算法或者改进的反馈谐频抑制算法,算出Y(ejw)至少三阶主要正弦成分的幅值和相位,合成频域控制信号U(ejw)输出到对应的节点上,同时该U(ejw)万作为相位基准被反馈回数据采集模块,用于计算Y(ejw)的相位。The suppression units of each node receive the vibration response data of their respective node structures through the data acquisition module, and DSP and w i , convert the vibration response data of the node structure into a frequency domain response signal Y(e jw ), and then calculate Y(e jw ) at least three times according to the existing feedback harmonic suppression algorithm or the improved feedback harmonic suppression algorithm The amplitude and phase of the main sinusoidal component of the first order, the synthesized frequency domain control signal U(e jw ) is output to the corresponding node, and the U(e jw ) is fed back to the data acquisition module as a phase reference to calculate Y( e jw ) phase.

上述振动抑制方法中,使用主成份分析模块得到结构响应的三阶主要频率wi的具体方法是:In the above vibration suppression method, the specific method of using the principal component analysis module to obtain the third-order main frequency w i of the structural response is:

步骤1:采集t时刻整体结构响应信号Y(t)=[Y1(t),Y2(t),...,Yi(t)]T,其中,i是节点抑制单元的个数;Yi(t)是第i个节点上结构响应的测量值,i=1,2,...,n;Step 1: Collect the overall structural response signal Y(t)=[Y 1 (t), Y 2 (t),...,Y i (t)] T at time t, where i is the number of node suppression units ;Y i (t) is the measured value of the structural response on the i-th node, i=1, 2,...,n;

步骤2:计算自相关矩阵;CXX=E[YYT]∈Rn×n;Y是结构整体响应信号Y(t)的简写形式,CXX是一个n×n的实数矩阵;Step 2: Calculate the autocorrelation matrix; C XX =E[YY T ]∈R n×n ; Y is the abbreviated form of the overall response signal Y(t) of the structure, and C XX is an n×n real number matrix;

步骤3:计算CXX的特征值λ,并按大到小排序,使得:λ1≥λ2≥...≥λi≥...≥λn,i=1,2,...n;Step 3: Calculate the eigenvalue λ of C XX , and sort it from large to small, so that: λ 1 ≥λ 2 ≥...≥λ i ≥...≥λ n , i=1, 2,...n ;

步骤4:取CXX最大的前m个特征值构成对角方阵对应的特征向量构成变换矩阵对其进行截断处理,则CXX可近似分解为特征值方程:前m个主成分的方差贡献率为其中,λi是按大到小排序后的第i个特征值,m<n;观测噪声造成的方差截断误差为当不相关潜变量个数m未知时,设定η的阈值对m进行截断处理,η≥95%;Step 4: Take the largest first m eigenvalues of C XX to form a diagonal square matrix The corresponding eigenvectors form the transformation matrix If it is truncated, C XX can be approximately decomposed into an eigenvalue equation: The variance contribution rate of the first m principal components is Among them, λ i is the i-th eigenvalue sorted from large to small, m<n; the variance truncation error caused by observation noise is When the number m of irrelevant latent variables is unknown, set the threshold value of η to truncate m, and η≥95%;

步骤5:将前三阶主成份特征值λi通过变换阵转换为对应频率Wi,i=1,2,3。Step 5: Pass the first three-order principal component eigenvalue λ i through the transformation matrix Convert to the corresponding frequency W i , i=1, 2, 3.

所述改进的反馈谐频抑制算法的表达式为:The expression of the improved feedback harmonic suppression algorithm is:

&mu;&mu; kk == &mu;&mu; 00 || YY kk || maxmax || YY ||

Uu kk ++ 11 == Uu kk -- 22 &mu;&mu; kk PP kk TT YY kk

其中是某节点结构传递特性估计的矩阵形式,是某节点结构频域响应信号Y(ejw)的向量形式,是控制量的向量形式;max|Y|是结构响应在迭代历程中出现的最大值,下标k表示当前时刻,k+1表示下一时刻;脚标r和i分别代表实部和虚部;wj下标j=1,2,3,分别表示三阶频率;迭代系数初值为 in is the estimated transfer characteristic of a node structure in matrix form, is the vector form of the frequency domain response signal Y(e jw ) of a node structure, is the vector form of the control quantity; max|Y| is the maximum value of the structural response in the iterative process, the subscript k indicates the current moment, and k+1 indicates the next moment; the subscripts r and i represent the real part and the imaginary part respectively ; w j subscript j=1, 2, 3, respectively represent the third-order frequency; the initial value of the iteration coefficient is

本发明装置的优点是,显示及控制单元与若干节点抑制单元通过通信总线连成网络,在显示及控制单元的监控下,多个节点抑制单元对大型柔性结构的几个关键点进行振动抑制,起到了在整体上对结构的抑制,达到了单个抑制器无法做到的效果。由DSP和PLD为核心的节点抑制单元处理速度很快,可以实现实时控制。该装置可以驱动多种作动器,应该范围较广。The advantage of the device of the present invention is that the display and control unit and several node suppression units are connected to form a network through the communication bus, and under the monitoring of the display and control unit, the multiple node suppression units suppress the vibration of several key points of the large flexible structure, It plays a role in suppressing the structure as a whole, and achieves the effect that a single suppressor cannot achieve. The node suppression unit with DSP and PLD as the core has a fast processing speed and can realize real-time control. The device can drive a variety of actuators and should have a wide range.

本发明方法的优点是,根据显示及控制单元与节点抑制单元在硬件结构上的不同进行了分工。基于PC平台的显示及控制单元具有较强的运算能力,可以实时监控各点响应,并进行离线的结构分析,为节点抑制单元提供结构信息。节点抑制单元是一高速DSP和PLD为核心的抑制器,可以快速运算迭代算法,实现某结构点上的实时振动抑制。在具有结构整体特性信息的基础上可以提高对大型柔性结构的振动抑制效果。本方法所采用的改进的反馈谐频抑制算法具有对系统参数不敏感,收敛速度快,收敛过程稳定等优点。The advantage of the method of the present invention is that the division of labor is carried out according to the difference in hardware structure between the display and control unit and the node suppression unit. The display and control unit based on the PC platform has strong computing power, can monitor the response of each point in real time, and perform offline structural analysis to provide structural information for the node suppression unit. The node suppression unit is a suppressor with high-speed DSP and PLD as the core, which can quickly calculate the iterative algorithm to realize real-time vibration suppression on a certain structural point. On the basis of the overall characteristic information of the structure, the vibration suppression effect on large flexible structures can be improved. The improved feedback harmonic suppression algorithm adopted in this method has the advantages of insensitivity to system parameters, fast convergence speed, and stable convergence process.

附图说明Description of drawings

以下结合附图及具体实施方式对本发明作进一步的详细说明。The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.

图1为本发明的振动抑制装置的整体结构框图。FIG. 1 is a block diagram of the overall structure of the vibration suppressing device of the present invention.

图2为本发明的振动抑制方法一个具体实施例示意图。其中:(a)图为图1中显示及控制单元的功能结构框图;(b)图为(a)图中主成份分析算法流程图;(c)图为图1中节点抑制单元与振动抑制对象的数据流向示意图;(d)图为节点振动抑制算法流程图。Fig. 2 is a schematic diagram of a specific embodiment of the vibration suppression method of the present invention. Among them: (a) The figure is the functional structure block diagram of the display and control unit in Figure 1; (b) The figure is the flow chart of the principal component analysis algorithm in (a) Figure 1; (c) The figure is the node suppression unit and vibration suppression in Figure 1 Schematic diagram of the data flow of the object; (d) is the flow chart of the node vibration suppression algorithm.

图3为单一控制和本发明多节点网络控制对细长圆柱壳振动抑制的效果对比图。其中,横坐标是分布在细长圆柱壳上的测试点编号,纵坐标表示各点grms值。Fig. 3 is a comparison diagram of the effect of single control and multi-node network control of the present invention on vibration suppression of a slender cylindrical shell. Among them, the abscissa is the number of test points distributed on the slender cylindrical shell, and the ordinate represents the grms value of each point.

图4为本发明局部振动控制效果对比图。其中,(a)图是采用反馈谐频抑制方法的响应收敛过程;(b)图是采用本发明方法的响应收敛过程。Fig. 4 is a comparative diagram of local vibration control effects of the present invention. Among them, the figure (a) is the response convergence process using the feedback harmonic frequency suppression method; the figure (b) is the response convergence process using the method of the present invention.

具体实施方式Detailed ways

如图1所示,本发明多节点网络振动抑制装置包括一个显示及控制单元、一根通信总线、n个节点抑制单元和相应n个振动抑制对象(节点a-1、a-2、…、a-n),n≥2。显示控制单元以pc机为平台,使用通信总线与各个节点抑制单元(1号-n号)连接,起到对振动抑制对象全局检测和全局振动抑制的作用。通信总线包括usb总线转CAN总线转换器和连接各节点抑制单元的CAN总线。As shown in Figure 1, the multi-node network vibration suppression device of the present invention includes a display and control unit, a communication bus, n node suppression units and corresponding n vibration suppression objects (nodes a-1, a-2, ..., a-n), n≥2. The display control unit uses a PC as a platform, and uses a communication bus to connect with each node suppression unit (No. 1-N), which plays the role of global detection of vibration suppression objects and global vibration suppression. The communication bus includes a usb bus to CAN bus converter and a CAN bus connected to each node suppression unit.

每个节点抑制单元以DSP处理器为核心,可编程逻辑器件PLD通过16位数据总线和19位地址总线与DSP相连,通过数据采集模块获得振动抑制对象一个节点的振动响应数据,在PLD的协助下通过信号合成模块来局部控制该节点的振动。节点抑制单元通过DSP集成的CAN(Controller Area Network)总线收发器与通信总线相连,CAN总线采用两线制通信,结构简单,采用巧妙设计的CAN通信协议,使其具有高可靠性和良好的错误检测能力,可以应用于环境温度恶劣、电磁辐射强和振动大的工业环境。Each node suppression unit takes the DSP processor as the core, and the programmable logic device PLD is connected to the DSP through a 16-bit data bus and a 19-bit address bus. The vibration response data of a node of the vibration suppression object is obtained through the data acquisition module. With the assistance of the PLD Next, the vibration of the node is locally controlled through the signal synthesis module. The node suppression unit is connected to the communication bus through the DSP-integrated CAN (Controller Area Network) bus transceiver. The CAN bus adopts a two-wire communication system with a simple structure. It adopts an ingeniously designed CAN communication protocol, which makes it highly reliable and error-free The detection ability can be applied to the industrial environment with harsh ambient temperature, strong electromagnetic radiation and large vibration.

数据采集模块分为两路,一路由一个可编程放大器PGA-0和一个模数转换器AD构成,PGA-0的输入端通过一个电荷放大器和一个传感器连接振动抑制对象的一个节点,采集该点结构的时域响应信号Y(t)和时域控制信号U(t),由DSP处理后得到该结构点的频域响应信号Y(ejw)和频域控制信号U(ejw);另一路由一个可编程放大器PGA-1和一个模数转换器AD构成,采集来自信号合成模块输出的频域控制信号U(ejw),PGA可以调节采集信号的量级,控制变送信号在-10V到+10V之间。AD采用的是高速16位AD转换器,通过16位数据外部数据总线向DSP发送数据。控制信号U(ejw)作为相位基准,用来计算响应信号的相位。The data acquisition module is divided into two routes, one route consists of a programmable amplifier PGA-0 and an analog-to-digital converter AD, the input of PGA-0 is connected to a node of the vibration suppression object through a charge amplifier and a sensor, and the point is collected The time-domain response signal Y(t) and time-domain control signal U(t) of the structure are processed by DSP to obtain the frequency-domain response signal Y(e jw ) and frequency-domain control signal U(e jw ) of the structure point; One route consists of a programmable amplifier PGA-1 and an analog-to-digital converter AD, which collects the frequency domain control signal U (e jw ) output from the signal synthesis module. The PGA can adjust the magnitude of the collected signal and control the transmission signal at - Between 10V and +10V. What AD adopts is a high-speed 16-bit AD converter, which sends data to DSP through the 16-bit data external data bus. The control signal U(e jw ) is used as a phase reference to calculate the phase of the response signal.

信号合成模块由三路直接数字频率合成器DDS和一个加法器构成。三路DDS分别将Y(ejw)中三个主要振动成分相应的正弦信号通过加法器合成,作为节点控制信号U(ejw)通过一个功放和一个振动台输出到该节点。可编程逻辑器件PLD协助DSP控制和管理外部IC,如PGA,DDS等。PLD与DSP通过16位外部数据总线和19位外部地址总线协调工作。使用VHDL硬件描述语句,PLD可以编写对外部IC的控制时序,将外部设备映射为寄存器地址给DSP,减轻其负担,简化了主控芯片对外部IC的控制。The signal synthesis module consists of three direct digital frequency synthesizers DDS and an adder. The three-way DDS synthesizes the corresponding sinusoidal signals of the three main vibration components in Y(e jw ) through an adder, and outputs them as a node control signal U(e jw ) to the node through a power amplifier and a vibration table. Programmable logic device PLD assists DSP to control and manage external ICs, such as PGA, DDS, etc. PLD and DSP work in coordination through 16-bit external data bus and 19-bit external address bus. Using the VHDL hardware description statement, PLD can write the control timing of the external IC, map the external device as a register address to the DSP, reduce its burden, and simplify the control of the external IC by the main control chip.

如图2所示,本发明的振动抑制方法,包括全局监测和节点抑制两部分:As shown in Figure 2, the vibration suppression method of the present invention includes two parts: global monitoring and node suppression:

(1)全局监测和控制。(1) Overall monitoring and control.

如图2(a)所示,首先,显示及控制单元通过对来自各节点抑制单元的抑制对象各节点的振动响应数据在有限元分析模块和主成份分析模块中进行主成份和有限元分析,分别得到各点上结构传递特性的估计以及结构响应中三阶主要频率wi,i=1,2,3,然后通过通信总线发送给各节点抑制单元;结构振动显示模块将各节点的振动响应数据进行分析并显示,以振动抑制对象整体响应幅值为评价准则,实时调整各节点抑制单元。As shown in Figure 2(a), first, the display and control unit performs principal component and finite element analysis in the finite element analysis module and principal component analysis module through the vibration response data of each node of the suppression object from each node suppression unit, Estimates of the transfer characteristics of the structure at each point are obtained separately And the third-order main frequency w i in the structural response, i=1, 2, 3, and then sent to each node suppression unit through the communication bus; the structural vibration display module analyzes and displays the vibration response data of each node, and uses the vibration suppression object The overall response amplitude is the evaluation criterion, and the suppression units of each node are adjusted in real time.

参照图2(b)示,使用主成份分析模块得到结构响应的三阶主要频率wi,i=1,2,3的具体方法是:Referring to Figure 2(b), the specific method of using the principal component analysis module to obtain the third-order main frequency w i of the structural response, i=1, 2, 3 is:

步骤1:采集t时刻整体结构响应信号Y(t)=[Y1(t),Y2(t),...,Yi(t)]T,其中,i是节点抑制单元的个数;Yi(t)是第i个节点上结构响应的测量值,i=1,2,...,n;Step 1: Collect the overall structural response signal Y(t)=[Y 1 (t), Y 2 (t),...,Y i (t)] T at time t, where i is the number of node suppression units ;Y i (t) is the measured value of the structural response on the i-th node, i=1, 2,...,n;

步骤2:计算自相关矩阵Y是结构整体响应信号Y(t)的简写形式,CXX是一个n×n的实数矩阵;Step 2: Calculate the autocorrelation matrix Y is the abbreviated form of the overall response signal Y(t) of the structure, and C XX is an n×n real number matrix;

步骤3:计算CXX的特征值λ,并按大到小排序,使得:λ1≥λ2≥...≥λi≥...≥λn,i=1,2,...,n;Step 3: Calculate the eigenvalue λ of C XX , and sort it from large to small, so that: λ 1 ≥λ 2 ≥...≥λ i ≥...≥λ n , i=1, 2,..., n;

步骤4:取CXX最大的前m个特征值构成对角方阵对应的特征向量构成变换矩阵对其进行截断处理,则CXX可近似分解为特征值方程:前m个主成分的方差贡献率为其中,λi是按大到小排序后的第i个特征值,m<n;观测噪声造成的方差截断误差为当不相关潜变量个数m未知时,设定η的阈值对m进行截断处理,η≥95%;Step 4: Take the largest first m eigenvalues of C XX to form a diagonal square matrix The corresponding eigenvectors form the transformation matrix If it is truncated, C XX can be approximately decomposed into an eigenvalue equation: The variance contribution rate of the first m principal components is Among them, λ i is the i-th eigenvalue sorted from large to small, m<n; the variance truncation error caused by observation noise is When the number m of irrelevant latent variables is unknown, set the threshold value of η to truncate m, and η≥95%;

步骤5:将前三阶主成份特征值λi通过变换阵转换为对应频率wi,i=1,2,3。Step 5: Pass the first three-order principal component eigenvalue λ i through the transformation matrix Convert to the corresponding frequency w i , i=1, 2, 3.

(2)节点抑制单元的控制。(2) Control of node suppression unit.

如图2(c)、(d)所示,首先,DSP接收显示及控制单元发送的和主成份对应频率wi,i=1,2,3。然后,数据采集模块测量某结构点时域响应信号Y(t)和时域控制信号U(t),采样频率选择为2048hz,每帧采集512点;接着DSP分别对某结构点的Y(t)和U(t)做快速傅立叶变换(FFT)得到结构点的频域响应信号Y(ejw);最后DPS根据反馈谐频抑制算法(Veres, S., Adaptiveharmonic control. International Journal of Control, 2001.74(12):p.1219-1225.)或者本发明改进的反馈谐频抑制算法,算出Y(ejw)三阶主要正弦成分的幅值和相位,最后将三阶幅值、相位及主成份对应的频率wi发送给三路DDS,合成频域控制信号U(ejw)输出,同时该U(ejw)作为相位基准被反馈回PGA-0(用来计算频域响应信号Y(ejw)的相位)。As shown in Figure 2(c) and (d), firstly, the DSP receives the information sent by the display and control unit The frequency w i corresponding to the principal component, i=1, 2, 3. Then, the data acquisition module measures the time-domain response signal Y(t) and the time-domain control signal U(t) of a certain structural point, the sampling frequency is selected as 2048hz, and 512 points are collected in each frame; ) and U(t) to do fast Fourier transform (FFT) to obtain the frequency domain response signal Y(e jw ) of the structure point; finally, DPS is based on the feedback harmonic suppression algorithm (Veres, S., Adaptiveharmonic control. International Journal of Control, 2001.74 (12): p.1219-1225.) or the improved feedback harmonic suppression algorithm of the present invention calculates the amplitude and phase of the third-order main sinusoidal component of Y (e jw ), and finally the third-order amplitude, phase and principal component The corresponding frequency w i is sent to the three-way DDS, and the synthesized frequency domain control signal U(e jw ) is output, and the U(e jw ) is fed back to PGA-0 as a phase reference (used to calculate the frequency domain response signal Y(e jw ) phase).

其中,本发明改进的反馈谐频抑制算法的表达式为:Wherein, the expression of the improved feedback harmonic suppression algorithm of the present invention is:

&mu;&mu; kk == &mu;&mu; 00 || YY kk || maxmax || YY ||

Uu kk ++ 11 == Uu kk -- 22 &mu;&mu; kk PP kk TT YY kk

其中是某点结构传递特性的估计的矩阵形式,是某点结构响应Y(ejw)的向量形式,是控制量的向量形式。μ是迭系数,随着迭代的进展而变化。迭代系数初值为max|Y|是结构响应在迭代历程中出现的最大值。下标k表示当前时刻,k+1表示下一时刻;脚标r和i分别代表实部和虚部;wj下标j=1,2,3,分别表示三阶频率。in is an estimate of the transfer properties of the structure at a point in matrix form, is the vector form of a point structure response Y(e jw ), is the vector form of the control quantity. μ is the iteration coefficient, which changes as the iteration progresses. The initial value of the iteration coefficient is max|Y| is the maximum value of the structural response that occurs during the iterative process. The subscript k indicates the current moment, and k+1 indicates the next moment; the subscripts r and i represent the real part and the imaginary part, respectively; the subscripts j=1, 2, and 3 of w j represent the third-order frequencies respectively.

以下面是采用本发明的一个应用例:一个铝合金材料的细长圆柱壳被支撑起来,在激励振动台的复杂周期激励下振动。位于控制点的加速度传感器将信号传送给节点控制器(节点抑制单元),节点控制器采用改进反馈谐频抑制算法输出控制信号,驱动振动台抑制控制点的振动响应。按照有限元分析时布置的30个点位在细长圆柱壳上布置加速度计,检测实验过程中壳体整体的响应变化。The following is an application example of the present invention: a slender cylindrical shell made of aluminum alloy is supported to vibrate under the complex periodic excitation of a vibrating table. The acceleration sensor located at the control point transmits the signal to the node controller (node suppression unit), and the node controller uses the improved feedback harmonic frequency suppression algorithm to output the control signal to drive the shaking table to suppress the vibration response of the control point. Accelerometers are arranged on the slender cylindrical shell according to the 30 points arranged in the finite element analysis, and the response changes of the shell as a whole are detected during the experiment.

如图3所示,斜线纹理标注的柱状图反映的是在14点布置单一节点抑制器的振动分布情况。实纹理标注的柱状图反映的是采用多节点网络振动抑制器作用在12点和21点上的振动分布情况。从图中可看出,采用多节点网络振动抑制器结构振动整体上得到了大幅度的抑制,比单一节点抑制效果更好。As shown in Fig. 3, the histogram marked with the slash texture reflects the vibration distribution of the single-node suppressor arranged at 14 points. The histogram marked with the real texture reflects the vibration distribution at 12 o'clock and 21 o'clock using the multi-node network vibration suppressor. It can be seen from the figure that the structural vibration of the multi-node network vibration suppressor has been greatly suppressed as a whole, and the suppression effect is better than that of a single node.

如图4所示,对比(a)、(b)两图可以看出,采用本发明提出的改进的反馈谐频抑制方法的响应收敛过程速度更快,并且没有(a)图中的振荡现象,抑制效果更好。As shown in Figure 4, comparing the two figures (a) and (b), it can be seen that the response convergence process of the improved feedback harmonic frequency suppression method proposed by the present invention is faster, and there is no oscillation phenomenon in the figure (a) , the suppression effect is better.

Claims (6)

1.一种多节点网络振动抑制装置,其特征在于,包括一个显示及控制单元,该显示及控制单元通过一个通信总线连接n个节点抑制单元,其中,n≥2,每个节点抑制单元的控制输出端通过一个功放和一个振动台连接振动抑制对象的一个节点,该节点通过一个电荷放大器和一个传感器连接该节点抑制单元的数据采集端;所述显示及控制单元包括结构振动显示模块、主成份分析模块和有限元分析模块,来自各节点抑制单元的抑制对象各节点的振动响应数据通过通信总线输入至结构振动显示模块、主成份分析模块和有限元分析模块,其中,有限元分析模块分析后输出各节点结构的传递特性估计主成份分析模块分析后输出各节点结构的三阶主要频率通过通信总线发送给各节点抑制单元,结构振动显示模块将各节点的振动响应数据进行分析并显示;所述节点抑制单元以DSP处理器为核心,通过数据采集模块获得振动抑制对象一个节点的振动响应数据,在可编程逻辑器件PLD的协助下通过信号合成模块来局部控制该节点的振动。1. A multi-node network vibration suppression device is characterized in that it includes a display and control unit, which is connected to n node suppression units by a communication bus, wherein, n≥2, each node suppression unit The control output end is connected to a node of the vibration suppression object through a power amplifier and a vibrating table, and the node is connected to the data acquisition end of the node suppression unit through a charge amplifier and a sensor; the display and control unit includes a structural vibration display module, a main The component analysis module and the finite element analysis module, the vibration response data of each node of the suppression object from the suppression unit of each node are input to the structural vibration display module, the principal component analysis module and the finite element analysis module through the communication bus, among which, the finite element analysis module analyzes Then output the transfer characteristic estimation of each node structure The principal component analysis module outputs the third-order main frequency of each node structure after analysis Send it to each node suppression unit through the communication bus, and the structural vibration display module analyzes and displays the vibration response data of each node; the node suppression unit takes the DSP processor as the core, and obtains the vibration of a node of the vibration suppression object through the data acquisition module In response to the data, the vibration of the node is locally controlled through the signal synthesis module with the assistance of the programmable logic device PLD. 2.如权利要求1所述的多节点网络振动抑制装置,其特征在于,所述数据采集模块包括两路,每一路均由一个可编程放大器PGA和一个模数转换器AD构成,其中一路采集振动抑制对象一个节点的结构振动时域响应信号,经DSP转变为频域响应信号Y(ejw);另一路采集来自信号合成模块反馈的频域控制信号U(ejw),作为相位基准,用于计算Y(ejw)的相位;所述信号合成模块由三路数字频率合成器DDS和一个加法器构成,三路DDS分别产生Y(ejw)中三个主要振动成分相应的正弦信号,加法器将这三路信号合成起来作为控制信号U(ejw)输出。2. multi-node network vibration suppression device as claimed in claim 1, is characterized in that, described data acquisition module comprises two roads, and each road all is made of a programmable amplifier PGA and an analog-to-digital converter AD, wherein one road collects The structural vibration time-domain response signal of a node of the vibration suppression object is transformed into a frequency-domain response signal Y(e jw ) by DSP; the other channel collects the frequency-domain control signal U(e jw ) fed back from the signal synthesis module as a phase reference, It is used to calculate the phase of Y(e jw ); the signal synthesis module is composed of three-way digital frequency synthesizer DDS and an adder, and the three-way DDS respectively generates sinusoidal signals corresponding to the three main vibration components in Y(e jw ) , the adder synthesizes these three signals and outputs it as a control signal U(e jw ). 3.如权利要求1所述的多节点网络振动抑制装置,其特征在于,所述的通信总线包括usb总线转CAN总线转换器和连接各节点抑制单元的CAN总线。3. multi-node network vibration suppression device as claimed in claim 1, is characterized in that, described communication bus comprises usb bus to CAN bus converter and the CAN bus that connects each node suppression unit. 4.一种振动抑制方法,采用权利要求1所述的多节点网络振动抑制装置实现,其特征在于,包括下述步骤:4. A vibration suppression method, which is realized by the multi-node network vibration suppression device according to claim 1, is characterized in that, comprising the steps of: (1)全局监视和控制(1) Global monitoring and control 首先,显示及控制单元通过对来自各节点抑制单元对应节点的振动响应数据在有限元分析模块和主成份分析模块中进行分析,分别得到各节点结构的传递特性估计以及三阶主要频率wi,i=1,2,3,然后通过通信总线发送给各节点抑制单元;结构振动显示模块将各节点的振动响应数据进行分析并显示,以振动抑制对象整体响应幅值为评价准则,实时调整各节点抑制单元对应节点结构振动的控制;First, the display and control unit analyzes the vibration response data from the corresponding nodes of each node suppression unit in the finite element analysis module and the principal component analysis module to obtain the transfer characteristic estimation of each node structure and the third-order main frequency w i , i=1, 2, 3, and then send them to the suppression units of each node through the communication bus; the structural vibration display module analyzes and displays the vibration response data of each node, and uses the overall response amplitude of the vibration suppression object The value is the evaluation criterion, and the control of the structural vibration of the corresponding node of each node suppression unit is adjusted in real time; (2)节点抑制单元对应各节点结构振动的控制(2) Nodal suppression unit corresponds to the control of structural vibration of each node 各节点抑制单元通过数据采集模块接收各自节点结构的振动响应数据,DSP根据显示及控制单元发来的和wi,将该节点结构的振动响应数据转换为频域响应信号Y(ejw),接着根据现有反馈谐频抑制算法或者改进的反馈谐频抑制算法,算出Y(ejw)至少三阶主要正弦成分的幅值和相位,合成频域控制信号U(ejw)输出到对应的节点上,同时该U(ejw)作为相位基准被反馈回数据采集模块,用于计算Y(ejw)的相位。The suppression units of each node receive the vibration response data of their respective node structures through the data acquisition module, and DSP and w i , convert the vibration response data of the node structure into a frequency domain response signal Y(e jw ), and then calculate Y(e jw ) at least three times according to the existing feedback harmonic suppression algorithm or the improved feedback harmonic suppression algorithm The amplitude and phase of the main sinusoidal component of the first order, the synthesized frequency domain control signal U(e jw ) is output to the corresponding node, and the U(e jw ) is fed back to the data acquisition module as a phase reference to calculate Y(e jw ) phase. 5.如权利要求4所述的振动抑制方法,其特征在于,使用主成份分析模块得到结构响应的三阶主要频率wi的具体方法是:5. vibration suppressing method as claimed in claim 4 is characterized in that, the concrete method that uses principal component analysis module to obtain the third-order main frequency w of structural response is: 步骤1:采集t时刻整体结构响应信号Y(t)=[Y1(t),Y2(t),...,Yi(t)]T,其中,i是节点抑制单元的个数;Yi(t)是第i个节点上结构响应的测量值,i=1,2,...,n;Step 1: Collect the overall structural response signal Y(t)=[Y 1 (t), Y 2 (t),...,Y i (t)] T at time t, where i is the number of node suppression units ;Y i (t) is the measured value of the structural response on the i-th node, i=1, 2,..., n; 步骤2:计算自相关矩阵CXX=E[YYT]∈Rn×n;Y是结构整体响应信号Y(t)的简写形式,CXX是一个n×n的实数矩阵;Step 2: Calculate the autocorrelation matrix C XX =E[YY T ]∈R n×n ; Y is the abbreviated form of the overall response signal Y(t) of the structure, and C XX is an n×n real number matrix; 步骤3:计算CXX的特征值λ并按大到小排序,使得:λ1≥λ2≥…≥λi≥…≥λn,i=1,2,...,n;Step 3: Calculate the eigenvalue λ of C XX and sort it from large to small, so that: λ 1 ≥ λ 2 ≥... ≥ λ i ≥... ≥ λ n , i=1, 2, ..., n; 步骤4:取CXX最大的前m个特征值构成对角方阵对应的特征向量构成变换矩阵对其进行截断处理,则CXX可近似分解为特征值方程:前m个主成分的方差贡献率为其中,λi是按大到小排序后的第i个特征值,m<n;观测噪声造成的方差截断误差为当不相关潜变量个数m未知时,设定η的阈值对m进行截断处理,η≥95%;Step 4: Take the largest first m eigenvalues of C XX to form a diagonal square matrix The corresponding eigenvectors form the transformation matrix If it is truncated, C XX can be approximately decomposed into an eigenvalue equation: The variance contribution rate of the first m principal components is Among them, λ i is the i-th eigenvalue sorted from large to small, m<n; the variance truncation error caused by observation noise is When the number m of irrelevant latent variables is unknown, set the threshold of η to truncate m, η≥95%; 步骤5:将前三阶主成份特征值λi通过变换阵转换为对应频率wi,i=1,2,3。Step 5: Pass the first three-order principal component eigenvalue λ i through the transformation matrix Convert to corresponding frequency w i , i=1, 2, 3. 6.如权利要求4所述的振动抑制方法,其特征在于,所述改进的反馈谐频抑制算法的表达式为:6. vibration suppression method as claimed in claim 4, is characterized in that, the expression of described improved feedback harmonic frequency suppression algorithm is: &mu;&mu; kk == &mu;&mu; 00 || YY kk || maxmax || YY || Uu kk ++ 11 == Uu kk -- 22 &mu;&mu; kk PP kk TT YY kk 其中 P T = P ^ r ( w j ) P ^ i ( w j ) - P ^ i ( w j ) P ^ r ( w j ) 是某节点结构传递特性估计的矩阵形式, Y = Y r ( w j ) Y i ( w j ) 是某节点结构频域响应信号Y(ejw)的向量形式, U = U r ( w j ) U i ( w j ) 是控制量的向量形式;max|Y|是结构响应在迭代历程中出现的最大值,下标k表示当前时刻,k+1表示下一时刻;脚标r和i分别代表实部和虚部;wj下标j=1,2,3,分别表示三阶频率;迭代系数初值为 in P T = P ^ r ( w j ) P ^ i ( w j ) - P ^ i ( w j ) P ^ r ( w j ) is the estimated transfer characteristic of a node structure in matrix form, Y = Y r ( w j ) Y i ( w j ) is the vector form of the frequency domain response signal Y(e jw ) of a node structure, u = u r ( w j ) u i ( w j ) is the vector form of the control quantity; max|Y| is the maximum value of the structural response in the iterative process, the subscript k indicates the current moment, and k+1 indicates the next moment; the subscripts r and i represent the real part and the imaginary part respectively ; w j subscript j=1, 2, 3, respectively represent the third-order frequency; the initial value of the iteration coefficient is
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