Bearing dynamic parameters identification of a flexible rotor-bearing system based on transfer matrix method

Bearing dynamic parameters are important factors governing the vibration characteristics of rotating machinery; however, they are difficult to determine due to limited experimentation, and inaccurate in modelling. In this paper, a parameter identification method is presented to identify the bearing dynamic parameters of a flexible rotor-bearing system. In this method, the parameter identification problem is formulated as an inverse problem. The bearing dynamic parameters have been characterized through minimizing the error squared of the rotor-bearing system unbalance response between the experiment results and the computational ones. The intergeneration projection genetic algorithm is used to minimize the error squared. As an efficient method for analysing the dynamic behaviour of a rotor-bearing system, an improved transfer matrix method has been employed to calculate the unbalance response. This approach has been applied to identify the bearing dynamic parameters of a test rig supported by two anisotropic bearings, according to the unbalance response experimental data. Results indicated that this method could identify the bearing dynamic parameters. It is also robust to the noise effects.     

低频大摆幅基础运动对滑动轴承-转子系统动力学特性的影响

考虑了低频大摆幅基础运动及转子在轴瓦内倾斜而产生的非线性油膜力矩等因素,基于拉格朗日方程建立了滑动轴承-转子系统的动力学模型.采用数值方法研究了基础运动对该系统非线性动力学特性的影响.结果 表明:转子系统第一次失稳后其动力学分岔特性出现复杂的上下两支拟周期运动,并且第二次出现失稳的转速有所提高;在转子转速较高时,转子的...     

Novel interval theory‐based parameter identification method for engineering heat transfer systems with epistemic uncertainty

The parameter identification problem with epistemic uncertainty, where only a small amount of experimental information is available, is a challenging issue in engineering. To overcome the drawback of traditional probabilistic methods in dealing with limited data, this paper proposes a novel interval theory‐based inverse analysis method. First, the interval variables are introduced to represent the input uncertainties, whose lower and upper bounds are to be identified. Subsequently, an unbiased estimation method is presented to quantify the experimental response interval from limited measurements. Meanwhile, a quantitative metric is defined to characterize the relative errors between computational and experimental response intervals by which the interval parameter identification can be constructed as a nested‐loop optimization procedure. To improve the computational efficiency of response prediction with respect to various interval variables, a universal surrogate model is established in the support box via Legendre polynomial chaos expansion, where the expansion coefficients can be evaluated by a collocation method under Clenshaw‐Curtis points and Smolyak algorithm. Eventually, a heat conduction example is provided to verify the feasibility of proposed method, especially in the case with noise‐contaminated temperature measurements.     

区间参数智能梁结构开环系统动力特性分析

以区间参数压电智能梁结构为研究对象,在材料性能参数和几何尺寸为区间变量时采用区间分析法建立了结构质量矩阵和刚度矩阵的区间模型。从求解结构振动动态特性的Rayleigh商出发,利用区间变量运算法则推导出了结构开环系统固有频率的数字特征表达式。通过算例,考察了区间参数对结构固有频率特性的影响,验证了所建模型和方法的可行性与合理性。研究结果表明,文中利用区间系数分析法来研究压电智能梁结构开环系统的动力特性具有一定的工程应用价值。     

小区间参数不确定性高阶系统的振动控制研究

针对复杂高阶不确定性系统的鲁棒H∞振动控制难题,基于小区间参数不确定性系统降阶方法的研究,系统地给出了包含降阶对象的构建、不确定性系统的降阶、鲁棒控制器的求解以及鲁棒性验证等在内的一整套研究策略和分析方法。为保障整个分析和求解过程的顺利进行,分析了高阶矩阵指数函数一阶偏导数求解困难的根源以及利用数值微分法的解决策略,并给出了一类维数较小的不确定性矩阵分解方法。最后通过算例表明了整个分析过程和求解方法的合理性和可行性。     

基于逆向滤波器的动态载荷时域识别方法

动态载荷的时域识别方法由于涉及到载荷与响应的复杂卷积关系，是难度较高的复杂的反分析问题。目前针对离散系统的方法都是建立递推连锁计算格式来进行的，递推连锁计算格式的缺点是对初值敏感和误差累积。本文建立了基于结构动力问题的逆向滤波器的计算格式，从根本上解决了初值敏感和误差累积问题，从而提高了数值计算稳定性和动态载荷识别精度。由于使反分析过程转化为类似正分析过程，使文中提出的方法有应用方便、计算效率高的特点，并为动态载荷的实时识别技术建立了理论基础。     

An adaptive algorithm for nonlinear system identification

There are several methods — fixed, adaptive, recursive — for the identification of linear and bilinear systems from input-output measurements that are noisy. However, literature is rather scarce as far as such techniques are concerned for the identification of nonlinear systems. The objective of this paper, therefore, is to suggest an iterative technique for the identification of nonlinear system parameters from measurements that are noisy. This technique requires the transformation of a nonlinear system in the state variable form into an input-output autoregressive moving average exogenous (armax) model. The pseudo linear regression algorithm, which has been extensively used for the identification of linear systems, can then be used to identify the nonlinear system parameters. Using this technique simulation studies were carried out which, indeed, confirm the efficacy of the method.     

钢丝绳减振器非对称迟滞模型的参数分解识别研究

针对钢丝绳减振器垂向非对称迟滞特性的理论描述需要，提出了非对称迟滞模型的参数分解识别方法。采用这一方法进行试验曲线的模型参数识别，并依据具体识别过程对原有模型的不足之处做了局部修改。根据参数识别结果，获得试验曲线的数学模型，并运用数值计算方法得到模型相应的理论曲线。理论与试验的曲线比较表明，分解识别方法能获得较为理想的识别结果，对原有模型的修改是符合实际的。     

基于区间分析的不确定性结构动力学模型修正方法

提出了一种基于区间分析的不确定性有限元模型修正方法。在区间参数结构特征值分析理论和确定性有限元模型修正方法基础上,假设不确定性与初始有限元模型误差均较小,采用灵敏度方法推导了待修正参数区间中点值和不确定区间的迭代格式。以三自由度弹簧-质量系统和复合材料板为例,采用拉丁超立方抽样构造仿真试验模态参数样本,开展仿真研究。结果表明,当仿真试验样本能准确反映结构模态参数的区间特性时,方法的收敛精度和效率均较高;修正后计算模态参数能准确反映试验数据的区间特性。所提出方法适用于解决试验样本较少,仅能得到试验模态参数区间的有限元模型修正问题。     

An optimization model for a crop deficit irrigation system under uncertainty

In this study, an inexact nonlinear programming model under uncertainty is developed by incorporating a water production function into the crop irrigation system optimization framework. By introducing a time parameter, this model can address the uncertainty associated with the irrigation schedule for different crops and their planting stages. The developed model was applied to a case study of an agricultural water resources management problem to demonstrate its applicability. Through scenario analysis under different precipitation levels, the key planting stage of crops and the amount of water for the irrigation schedule that could significantly affect system benefits were identified. By using intervals to represent uncertain parameters, more reliable and practical decision alternatives were generated through the presented model in typical hydrological years (i.e. wet, normal and dry years).     

有限测点下结构参数与基底激励的同步反演

提出一种利用结构在未知基底激励作用下,少数测点上的动态响应同步反演结构物理参数与基底激励的算法。首先,利用正交多项式展开结构基底激励,推导结构动态响应对结构物理参数和正交系数的灵敏度公式,并通过引入权值,克服由于不同待识别参数之间灵敏度向量的数量级差别较大而引起的灵敏度矩阵病态问题;然后,构造同步反演结构物理参数与基底激励的识别方程,并采用阻尼最小二乘法通过迭代计算求得方程最优解,完成结构物理参数与基底激励的同步反演;最后,采用一个12层的高层框架结构验证了算法的有效性。研究结果表明,该算法可利用少数测点响应同步精确反演结构的物理参数与未知基底激励。     

动态载荷识别中的模态确定方法研究

提出了模态选取概念，这一概念比目前所采用的模态截断概念合理；在此基础上提出了反分析中模态选取的准则，并给出了相应的公式。大量算例表明，采用本文提出的准则和公式可以防止因模态选取不当而产生的伪解，避免计算中的数值病态，明显提高了动态载荷识别的成功率和精度。     

产品-包装-运载体系统动态特性研究

为缓冲防震系统的设计与评估提供一种新的结构动态分析方法,将复杂耦合结构系统的动态逆子结构分析方法应用于运输包装工程中.从系统分析的角度建立用于确定"产品-包装-运载体"在系统与部件水平的动态特性的实验技术理论.通过对一个集总参数模型实例在系统水平的传递函数的计算,验证了所建立理论的有效性.     

An interval approach to robust design with parameter uncertainty

In robust design, it is common to estimate empirical models that relate an output response variable to controllable input variables and uncontrollable noise variables from experimental data. However, when determining the optimal input settings that minimise output variability, parameter uncertainties in noise factors and response models are typically neglected. This article presents an interval robust design approach that takes parameter uncertainties into account through the confidence regions for these unknown parameters. To avoid obtaining an overly conservative design, the worst and best cases of mean squared error are both adopted to build an optimisation approach. The midpoint and radius of the interval are used to measure the location and dispersion performances, respectively. Meanwhile, a data-driven method is applied to obtain the relative weights of the location and dispersion performances in the optimisation approach. A simulation example and a case study using automobile manufacturing data from the dimensional tolerance design process are used to demonstrate the effectiveness of the proposed approach. The proposed approach of considering both uncertainties is shown to perform better than other approaches.     

Lifecycle risk assessment of a technological system using dynamic Bayesian networks

Investigations of technological systems accidents reveal that technical, human, organizational, as well as environmental factors influence the occurrence of accidents. Despite these facts, most traditional risk assessment techniques focus on technical aspects of systems and have some limitations of incorporating efficient links between risk models and human and organizational factors. This paper presents a method for risk analysis of technological systems. Application of the presented framework makes it possible to analyze the influence of technical, human, organizational, and environmental risk factors on system safety. It encompasses system lifecycle from design to operational phase to give a comprehensive picture of system risks. The developed framework comprises the following main steps: (1) development of a conceptual risk analysis framework, (2) identifying risk influencing factors in different levels of technical, human, organizational, and environmental factors providing the possibility of analyzing interactions in a multi‐level system, (3) modeling system risk using dynamic Bayesian network (DBN), (4) assignment of probabilities and risk quantification in node probability tables (NPTs) based on industry records and experts extracted knowledge, (5) implementation of the model for wind turbines risk analysis combining use of V‐model, risk factors, and DBN in order to analyze the risk, and (6) analyzing different scenarios and the interactions in different levels. Finally, the various steps of the framework, the research objective fulfillment, and case study results are presented and discussed.     

不确定电液位置伺服系统的动态面跟踪控制

针对一类含有动态不确定性的双作用液压缸电液伺服系统跟踪控制问题,采用动态面控制方法设计了一个鲁棒自适应跟踪控制器.由于在逆推设计过程中加入了低通滤波器使得该方法不用对模型非线性进行多次微分,因而设计方法简化.所设计的自适应鲁棒控制器不仅能保证闭环系统的半全局渐近稳定,使得输出渐近跟踪期望轨迹;而且,跟踪误差可以通过控制器的设计参数加以调整.数字仿真结果表明,控制系统对给定位置的跟踪具有良好的动态特性,对系统的不确定性,具有较强的鲁棒性.     

A dynamic programming-based particle swarm optimization algorithm for an inventory management problem under uncertainty

This article presents a dynamic programming-based particle swarm optimization (DP-based PSO) algorithm for solving an inventory management problem for large-scale construction projects under a fuzzy random environment. By taking into account the purchasing behaviour and strategy under rules of international bidding, a multi-objective fuzzy random dynamic programming model is constructed. To deal with the uncertainties, a hybrid crisp approach is used to transform fuzzy random parameters into fuzzy variables that are subsequently defuzzified by using an expected value operator with optimistic–pessimistic index. The iterative nature of the authors’ model motivates them to develop a DP-based PSO algorithm. More specifically, their approach treats the state variables as hidden parameters. This in turn eliminates many redundant feasibility checks during initialization and particle updates at each iteration. Results and sensitivity analysis are presented to highlight the performance of the authors’ optimization method, which is very effective as compared to the standard PSO algorithm.     

随机参数刚弹耦合平面连杆的动力分析

建立考虑物理参数、几何参数及荷载均为随机变量的平面连杆机构的动力学方程,在建模中计入刚弹耦合项和运动副的粘性摩擦。利用Newmark-β逐步积分法将此随机参数机构系统的动力学方程转换为随机参数的拟静力控制方程。利用求解随机变量函数数字特征的矩法和代数综合法,导出机构动态弹性位移的均值和方差计算公式。通过算例考察了机构的杆长、截面半径、质量密度、弹性模量的随机性,刚弹耦合项和运动副摩擦对机构动力响应的影响。     

环境激励下大型桥梁模态参数识别的一种方法

提出一种依据环境激励下结构振动响应的大型桥梁模态参数识别方法,该方法以限制带宽的经验模态分解（BREMD）和随机子空间识别（SSI）为基础,首先利用EMD将环境振动响应分解成一系列只含结构某一阶固有模态的本征模态函数（IMF）,然后利用SSI识别桥梁模态参数。针对大型桥梁自振频率低、模态密集的特点,引入屏蔽信号限制EMD过程中带宽以消除模态混叠;运用该法识别了赣龙铁路某特大桥的模态参数,并将其与峰值拾取法、SSI识别结果以及理论计算值进行对比,结果表明：该方法能有效的识别大型桥梁模态参数,屏蔽信号的引入解决了模态混叠问题,稳定图中的虚假模态得到抑制。     

Interval static displacement analysis for structures with interval parameters

In this paper, a new method to solve the uncertain static displacement problem of structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even if an optimum scheme is adopted when there are many uncertain parameters. With the interval mathematics, the interval finite element equation is developed. Based on the perturbation and the interval extension, the upper and lower bounds of the static displacements are obtained, in which the sharp bounds are guaranteed by the interval calculation operators. Two numerical examples, a box cantilever beam and an automobile frame, are given to illustrate the validity of the present method. Copyright © 2001 John Wiley & Sons, Ltd.