Modal parameter identification of flexible spacecraft using the covariance-driven stochastic subspace identification (SSI-COV) method

In this paper, the on-orbit identification of modal parameters for a spacecraft is investigated. Firstly, the cou-pled dynamic equation of the system is established with the Lagrange method and the stochastic state-space model of the system is obtained. Then, the covariance-driven stochas-tic subspace identification (SSI-COV) algorithm is adopted to identify the modal parameters of the system. In this algo-rithm, it just needs the covariance of output data of the system under ambient excitation to construct a Toeplitz matrix, thus the system matrices are obtained by the singular value decom-position on the Toeplitz matrix and the modal parameters of the system can be found from the system matrices. Finally, numerical simulations are carried out to demonstrate the validity of the SSI-COV algorithm. Simulation results indi-cate that the SSI-COV algorithm is effective in identifying the modal parameters of the spacecraft only using the output data of the system under ambient excitation.     

THEORY AND ALGORITHM OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (Ⅱ) ──STOCHASTIC SYSTEM PARAMETERS IDENTIFICATION AND APPLICATION EXAMPLE

Based on the contents Of part (Ⅰ) and stochastic optimal control theory, the concept of optimal control solution to parameters identification of stochastic dynamic system is discussed at first. For the completeness of the theory developed in this paper and part (Ⅰ), then the procedure of establishing HamiltonJacobi-Bellman (HJB) equations of parameters identification problem is presented.And then, parameters identification algorithm of stochastic dynamic system is introduced. At last, an application example-local nonlinear parameters identification of dynamic system is presented.     

DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY- STOCHASTIC TRUSS STRUCTURES BASED ON FUZZY FACTOR METHOD AND RANDOM FACTOR METHOD

A new fuzzy stochastic finite element method based on the fuzzy factor method and random factor method is given and the analysis of structural dynamic characteristic for fuzzy stochastic truss structures is presented. Considering the fuzzy randomness of the structural physical parameters and geometric dimensions simultaneously, the structural stiffness and mass matrices are constructed based on the fuzzy factor method and random factor method; from the Rayleigh's quotient of structural vibration, the structural fuzzy random dynamic characteristic is obtained by means of the interval arithmetic; the fuzzy numeric characteristics of dynamic characteristic are then derived by using the random variable's moment function method and algebra synthesis method. Two examples are used to illustrate the validity and rationality of the method given. The advantage of this method is that the effect of the fuzzy randomness of one of the structural parameters on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively.     

THERMODYNAMIC ENTROPY MODELS OF THE FROZEN-WALL SYSTEM(I)

In this paper,the author describes,and comments on the traditional thermal theory onartificial ground freezing,and points out its important significance and shortcomings.Thefrozen-wall is analysed by system analysis methods.According to matter levels,the frozen-wall is divided into three sub-systems:frozen colloid system,frozen soil system and frozen-wall system.They correspond to different characteristics.The frozen-wall system is a largeopen system with multi-levels and multi-aspects.The problems of stability of the system andits control are the key problems in the techniques of artificial ground freezing.Based onnon-equilibrium thermodynamics and dissipative structure theory methods,the authordiscusses and reveals the problems of the formation and stability of the frozen-wall systemand its thermodynamic nature,and proposes the thermodynamic entropy models of thesystem.The result is a great satisfaction.     

Book Review ＂William R. Spillers and Keith M. MacBain. Structural Optimization,Springer Dordrecht Heidelberg London New York, 2009＂

This book presents general theories and applications of structural optimization methods. The first chapter of the book introduces various basic concepts of structural optimization through several illustrative examples. Chapter 2 is devoted to a comprehensive review of math- ematical programming methods, including classical methods such as the simplex method, the （SLP） method, the interior point method and relatively new approaches such as genetic algo- rithms. The third chapter presents the main topic of this book, the SLP methods based on the incremental equations of structures. Some useful techniques in implementation of SLP, including the move limit, scaling and active constraint identifying, are discussed. In chapter 4, classical optimality criterion approaches, including the fully stress approach for truss struc- tures and its extensions for membrane and plate structures, are presented with demonstrative examples. The remaining chapters develop an overview of structural optimization problems, among which are dynamic optimization, multi-criterion optimization, earlier work on the op- timal layouts of plates, as well as some practical issues in general size and shape optimization problems.     

A SIGNIFICANT IMPROVEMENT ON NEWTON’S ITERATIVE METHOD

For solving nonlinear and transcendental equation f(x)=0, a singnificant improvement on Newton’s method is proposed in this paper. New “Newton Like” methods are founded on the basis of Liapunov’s methods of dynamic system. These new methods preserve quadratic convergence and computational efficiency of Newton’s method, and remove the monotoneity condition imposed on f(x):f′(x)≠0.     

STUDY ON PREDICTION METHODS FOR DYNAMIC SYSTEMS OF NONLINEAR CHAOTIC TIME SERIES＊

The prediction methods for nonlinear dynamic systems which are decided by chaotic time series are mainly studied as well as structures of nonlinear self-related chaotic models and their dimensions. By combining neural networks and wavelet theories, the structures of wavelet transform neural networks were studied and also a wavelet neural networks learning method was given. Based on wavelet networks, a new method for parameter identification was suggested, which can be used selectively to extract different scales of frequency and time in time series in order to realize prediction of tendencies or details of original time series. Through pre-treatment and comparison of results before and after the treatment, several useful conclusions are reached:High accurate identification can be guaranteed by applying wavelet networks to identify parameters of self-related chaotic models and more valid prediction of the chaotic time series including noise can be achieved accordingly.     

THE FINITE DYNAMIC ANNULAR ELEMENT FOR THE VIBRATION ANALYSIS OF VARIABLE THICKNESS DISCS

According to the gyro-periodicity of dynamic displacements, the two-dimensional problems of circular plates with variable thickness are simplified into one-dimensional ones in this paper. Taking the expanded form of frequency power series of the dynamic displacement functions as the dynamic shape functions of the finite annular element, the mass and stiffness matrices as well as their one-order revised matrices are given succinctly. The dynamic method is used to analyse the vibration characteristics of a bladed disc assembly and is compared with conventional finite element method and experiment, and is proved to be superior to other numerical methods.     

Geometric nonlinear dynamic analysis of curved beams using curved beam element

Instead of using the previous straight beam element to approximate the curved beam,in this paper,a curvilinear coordinate is employed to describe the deformations,and a new curved beam element is proposed to model the curved beam.Based on exact nonlinear strain-displacement relation,virtual work principle is used to derive dynamic equations for a rotating curved beam,with the effects of axial extensibility,shear deformation and rotary inertia taken into account.The constant matrices are solved numerically utilizing the Gauss quadrature integration method.Newmark and Newton-Raphson iteration methods are adopted to solve the differential equations of the rigid-flexible coupling system.The present results are compared with those obtained by commercial programs to validate the present finite method.In order to further illustrate the convergence and efficiency characteristics of the present modeling and computation formulation,comparison of the results of the present formulation with those of the ADAMS software are made.Furthermore,the present results obtained from linear formulation are compared with those from nonlinear formulation,and the special dynamic characteristics of the curved beam are concluded by comparison with those of the straight beam.     

Dynamic analysis of an offshore pipe laying operation using the reel method

A system designed for a rigid and flexible pipe laying purposes is presented in the paper.Mathematical and numerical models are developed by using the rigid finite element method(RFEM).The RFEM is an efficient solution in the time domain.Static and dynamic problems related to pipe installation are solved by taking the advantage of simple interpretation and implementation of the method.Large deformations of the pipe during spooling and when it is reeled out at sea are considered.A material model implemented is used to take into consideration nonlinear material properties.In particular,the full elasto-plastic material characteristics with hardening and Bauschinger effect are included.Dynamic analyses are performed and the results attached in this work demonstrates how the sea conditions influence the machinery and pipeline,assuming a passive reel drive system. The influence of several other operational parameters on dynamic loads is verified.An active system,implemented as a part of the mathematical model,improves the system performance.Some results are presented as well.     

基于动态校准数据的压杆测试系统动态特性校正技术

针对应变式压杆测试系统在冲击波的超压测量中存在动态响应不足的问题,建立了激波管校准平台.采用系统辨识建模和动态补偿的方法,将时域分析和频域估计相结合,设计了一种动态补偿滤波器,改善了压杆测试系统的动态特性,使频带展宽,响应时间减少.     

动态激光散斑测超小型物体动态特性

本文基于动态散斑场的相关统计特性,发展了一种系统识别技术,这是一条有效的用来分析超小型物体动态特性的途径.我们对重为8g的微型悬臂梁,实时记录了梁振动的自由响应时间域信号,对其进行了动态特性计算机分析和实验研究。     

The inverse identification problem and its technical application

This paper presents an overview of a loading force identification technique. Load identification methods are based on the solution of the inverse identification problem. Many different approaches for linear systems have been developed in this area. For both linear and nonlinear systems, methods based on the minimization of assumed objective functions are formulated. The least square error between the simulated and measured system responses is mainly used as the objective function. The dynamic programming optimization method formulated by Bellman is commonly used for the minimization of the objective function to estimate the excitation forces. The inverse identification problem in most practical cases is ill-posed because not all the state variables or initial conditions are known. Ill-posed inverse identification problems can be solved using several techniques, the most useful of which are: the generalized cross-validation method, the dynamic programming technique and Tikhonov’s method. This article presents the theoretical background and main limits to the application of inverse identification methods. Numerical and experimental tests on a laboratory rig were made to verify the formulated procedures. The method is applied to the identification of wheel–rail contact forces during rail vehicle operation. The method can be applied for indirect measurements of contact forces in railway equipment testing.     

A method of online damage identification for structures based on ambient vibration

IntroductionStructuralhealthmonitoringofbridgesandarchitectureshasbeenhighlyinteresting .Whensomebridgesarebuilt,thehealthmonitoringsystemsareinstalled ,whicharemadeupofmanysensors,suchaswindloadingsensors,stresssensorsandaccelerationsensors.Thesesensorscollectagreatdealofinformation .Howtheinformationisusedtoestimatethedamageofbridgestructureandanalyzethedurabilityofbridgestructureisasignificantresearchproblem .Existenceofstructuraldamageswithinstructuresleadstothechangesuchasthevibrationres…     

转子系统随机支撑刚度参数的识别

基于Riccati摄动随机传递矩阵方法建立的转子系统特征值与随机参数变量间的函数关系,给出了转子系统随机参数的识别方法和详细步骤,可用于识别随机参数的均值和方差。以改装的Bently实验转子为研究对象,通过大量测试,识别出了转子系统的随机支撑刚度参数,建立了该转子系统的随机参数动力学模型。该模型可用于研究转子系统的随机参数动力学问题。     

随机最优控制方法识别动力学系统局部非线性

利用随机动态规划方法可以得到线性二次型高斯问题的最优控制解．基于这一结果与系统辨识问题最优控制解的概念,将动力学系统中局部非线性结构参数的辨识问题转化为求解对应线性系统的最优控制问题,利用线性系统随机最优控制的理论与方法,结合FSM（ForceStateMapping）方法,提出了识别动力学系统中局部非线性回复力类型及结构参数的新方法．所研究系统由大的线性子结构与一个或多个非线性子结构组成,其中线性结构的模型参数已知,待辨识量为局部非线性结构参数．     

推力主动磁轴承的动特性参数辨识

针对五自由度刚性非对称磁轴承 -转子系统 ,建立了系统动力学模型 ,在此基础上推导出系统动特性参数辨识公式 ,并用多频电流激励法辨识出参数 .与理论计算结果相比表明 :系统所建模型符合实际 ,辨识方法有效 ;径向轴承在 x和 y方向上的力 -刚度和力 -电流系数相同 ,与推力轴承对应系数相比稍大 ;推力轴承对转子横向振动产生的耦合效应明显影响系统的稳定性 ,在设计系统时必须加以考虑     

梁结构时变物理参数在线识别的谐波传播法

组合梁结构在运动状态下其连接处的物理参数不断变化,导致结构的动态特性也不断发生变化.为了研究组合梁结构在运动状态下的非平稳动态特性以达到对结构振动进行实时控制的目的,必须对结构连接处的物理参数进行在线跟踪辨识.本文在现代谐波识别技术的基础上提出时变系统谐波频率与振型的在线识别算法,并利用波传播方法计算出连接处的力与位移向量,再由连接处位移连续与力平衡条件求得连接处的动刚度,进而求得结构连接处的刚度与阻尼.由于该方法可以简化测试节点,所以可以节省测试成本.仿真算例表明该方法具有良好的跟踪能力与较高的计算精度.     

THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TODYNAMIC SYSTEM PARAMETERS IDENTIFICATION (Ⅰ)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION

IntroductionDynamicsystemidentificationistheinverseproblemofdynamics.Throughtheuseofexperimentaloroperahonalinput-outputdata,modelofdynaITilcsystemcanbeestablishedbysystemidentificationtechnique,andundetCndnedparametersofmodelcanalsobeidenhfied.Ingeneral,dynamicequahonsofsystemareknownPrior,whilesystemidentificahonisjustanundetendnedparametersidentificationproblem.TheseparametersaremodalparameterssuchasfrequenciesandmodeshapesorstrUctUralparameterssuchasdampingandstiffness.T'hisisatypical"g…