Time-variant fragility analysis of the bridge system considering time-varying dependence among typical component seismic demands

This paper presents a copula technique to develop time-variant seismic fragility curves for corroded bridges at the system level and considers the realistic time-varying dependence among component seismic demands. Based on material deterioration mechanisms and incremental dynamic analysis, the time-evolving seismic demands of components were obtained in the form of marginal probability distributions. The time-varying dependences among bridge components were then captured with the best fitting copula function, which was selected from the commonly used copula classes by the empirical distribution based analysis method. The system time-variant fragility curves at different damage states were developed and the effects of time-varying dependences among components on the bridge system fragility were investigated. The results indicate the time-varying dependence among components significantly affects the time-variant fragility of the bridge system. The copula technique captures the nonlinear dependence among component seismic demands accurately and easily by separating the marginal distributions and the dependence among them.

Complements to the Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions

The purpose of this paper is to add some complements to the general theory of higher-order types of asymptotic variation developed in two previous papers so as to complete our elementary (but not too much!) theory in view of applications to the theory of finite asymptotic expansions in the real domain, the asymptotic study of ordinary differential equations and the like. The main results concern: 1) a detailed study of the types of asymptotic variation of an infinite series so extending the results known for the sole power series;2) the type of asymptotic variation of a Wronskian completing the many already-published results on the asymptotic behaviors of Wronskians;3) a comparison between the two main standard approaches to the concept of “type of asymptotic variation”: via an asymptotic differential equation or an asymptotic functional equation;4) a discussion about the simple concept of logarithmic variation making explicit and completing the results which, in the literature, are hidden in a quite-complicated general theory.

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation

Motivated by a general theory of finite asymptotic expansions in the real domain for functions f of one real variable, a theory developed in a previous series of papers, we present a detailed survey on the classes of higher-order asymptotically-varying functions where “asymptotically” stands for one of the adverbs “regularly, smoothly, rapidly, exponentially”. For order 1 the theory of regularly-varying functions (with a minimum of regularity such as measurability) is well established and well developed whereas for higher orders involving differentiable functions we encounter different approaches in the literature not linked together, and the cases of rapid or exponential variation, even of order 1, are not systrematically treated. In this semi-expository paper we systematize much scattered matter concerning the pertinent theory of such classes of functions hopefully being of help to those who need these results for various applications. The present Part I contains the higher-order theory for regular, smooth and rapid variation.

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation

In this second part, we thoroughly examine the types of higher-order asymptotic variation of a function obtained by all possible basic algebraic operations on higher-order varying functions. The pertinent proofs are somewhat demanding except when all the involved functions are regularly varying. Next, we give an exposition of three types of exponential variation with an exhaustive list of various asymptotic functional equations satisfied by these functions and detailed results concerning operations on them. Simple applications to integrals of a product and asymptotic behavior of sums are given. The paper concludes with applications of higher-order regular, rapid or exponential variation to asymptotic expansions for an expression of type f(x+r(x)).

On cubic Hermite coalescence hidden variable fractal interpolation functions

Hermite interpolation is a very important tool in approximation theory and nu- merical analysis, and provides a popular method for modeling in the area of computer aided geometric design. However, the classical Hermite interpolant is unique for a prescribed data set, and hence lacks freedom for the choice of an interpolating curve, which is a crucial requirement in design environment. Even though there is a rather well developed fractal theory for Hermite interpolation that offers a large flexibility in the choice of interpolants, it also has the short- coming that the functions that can be well approximated are highly restricted to the class of self-affine functions. The primary objective of this paper is to suggest a gl-cubic Hermite in- terpolation scheme using a fractal methodology, namely, the coalescence hidden variable fractal interpolation, which works equally well for the approximation of a self-affine and non-self-affine data generating functions. The uniform error bound for the proposed fractal interpolant is established to demonstrate that the convergence properties are similar to that of the classical Hermite interpolant. For the Hermite interpolation problem, if the derivative values are not actually prescribed at the knots, then we assign these values so that the interpolant gains global G2-continuity. Consequently, the procedure culminates with the construction of cubic spline coalescence hidden variable fractal interpolants. Thus, the present article also provides an al- ternative to the construction of cubic spline coalescence hidden variable fractal interpolation functions through moments proposed by Chand and Kapoor [Fractals, 15（1） （2007）, pp. 41-53].

Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and Wigner Function of Squeezed Number State

For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integration withinan ordered product of operators.The normally ordered time evolution operator is thus obtained.We then derive theWigner function of u(t)|n>,where |n> is a Fock state,which exhibits a generalized squeezing,the squeezing effect isrelated to the varying mass with time.

不确定电液伺服系统的时变输出约束自适应滤波控制

针对电液伺服系统位置跟踪控制中存在的输出约束和不确定性问题,提出一种基于正切型时变障碍Lyapunov函数的输出约束自适应滤波控制方法。构造具有时变约束边界的正切型时变障碍Lyapunov函数,通过时变边界函数的参数设置,使系统输出具有较好的瞬态和稳态性能;设计径向基函数(RBF)神经网络及权重自适应学习律,在线逼近由模型不确定性和未知干扰组成的复合干扰,并将逼近值用于反馈控制;采用二阶指令滤波反步法设计状态反馈控制律和误差补偿机制,避免反步设计中“计算爆炸”的问题,同时消除滤波误差,提高系统位置跟踪精度;依据Lyapunov稳定性理论证明闭环系统中所有误差信号的收敛性。仿真结果表明:系统的稳态误差在所提方法下约为3.48×10^(-8)m,相比于其他控制方法,跟踪误差始终约束在时变的约束边界内,跟踪精度和控制性能均得到提升。

2-D离散时滞系统的新时滞相关稳定性准则

研究了具有时变时滞的二维(two-dimensional,2-D)离散系统的时滞相关稳定性问题.所创建的Lyapunov-Krasovskii泛函(Lyapunov-Krasovskii functionals,LKFs)考虑在二次项和单项求和项中引入时滞相关矩阵,包含了更多的状态信息.同时在单项求和项中引入增广向量矩阵,并给出适用于2-D系统的多重辅助函数不等式和互凸组合不等式,用于处理LKFs差分,以便降低计算负担.然后,为具有时变时滞的2-D离散系统推导出保守性更小的稳定性准则.通过两个数值算例验证了所设计方法的有效性和优越性.

基于二次函数负定判据的LFC系统稳定性分析

基于改进的二次积分不等式和二次多项式不等式建立的稳定性条件,研究了基于负荷频率控制(LFC)的时滞电力系统稳定性问题。首先,搭建了包含PI参数的负荷频率时滞系统数学模型;然后,通过引入增广的Lyapunov-Krasovskii泛函,利用近年改进的二次积分不等式和二次多项式不等式的充分条件,成功导出了具有时变时滞的系统稳定性判据;最后,通过负荷频率系统模型的实例仿真,验证了所得稳定性判据优于现有的一些计算结果。

面向爆炸压力场的体绘制自动传输函数设计

直接体绘制广泛应用于可视化领域,其中传输函数决定了最终绘制的效果。大规模爆炸数据属于复杂的时变数据,其压力场的取值范围和分布会随时间剧烈变化。为了实现对冲击波传播特征的连续跟踪,提出了一种基于标量-时间梯度(scalar-temporal gradient,STG)二维空间的自动传输函数设计方法。结合爆炸过程中的物理规律,将STG空间划分为多种状态并总结了状态之间的转移规律。将冲击波的传播特征编码为一段一定长度的状态转移链(state transitions chain,STC),称为时变特征。传输函数中的颜色以时变特征为单位,基于完全状态转移链自动分配。传输函数中的不透明度采用基于压强变化速率的分段非线性曲线,凸显压强变化剧烈的特征。选取了两类典型的大规模爆炸场景对方法进行了验证,绘制结果中都包含了丰富的明显可区分的冲击波传播特征。结果表明,生成的传输函数在整个时间维度上都能稳定、准确地捕捉冲击波的传播特征。

特高压换流站抗震韧性及震后修复策略快速评估方法

地震作用下特高压换流站中设备极易损坏,然而由于资源条件限制使得震后抢修效率较低,从而导致了大量经济损失。为寻求高效的震后修复策略,该文搭建一套基于功能状态模型的抗震韧性快速评估框架。从结构和电气两方面建立换流站系统的二维功能网络模型,并利用贝叶斯网络进行功能状态快速评估。为提高系统震后修复效率,提出一种生物启发式多目标优化算法,利用震后迭代模拟得到系统阶梯型功能时变函数。通过对一典型±800 kV特高压换流站进行抗震韧性分析,得到换流站系统的关键抢修设备及最优修复策略,证明了最优修复策略的有效性和必要性。该框架量化了特高压换流站的震后修复过程及抗震韧性水平,可为换流站系统的震后应急抢修提供参考。

基于时变Copula函数的多部件系统可靠性评估

针对多部件失效相关的机械系统,提出一种基于时变Copula函数的多部件系统可靠性评估方法。首先,引入非线性Wiener过程刻画性能退化过程,并采用Copula函数刻画多部件失效间的相关性;其次,基于傅里叶级数近似Copula函数的演化方程,并通过蒙特卡洛(MC)模拟验证傅里叶级数对常见时变形式的拟合效果;此外,采用似然比统计量检验时变相关性的存在性,指明时变相关性研究的必要性。算例分析结果表明,与静态相关性模型相比,时变相关性模型对数似然函数值提高4.36%、赤池信息量准则(AIC)减小3.81%,可靠性评估结果更加准确。

基于TVFEMD-IMF能量熵增量的桥梁监测数据降噪方法

针对桥梁监测数据受多重噪声干扰、影响结构真实响应获取的问题,提出了一种基于时变滤波经验模态分解(time-varying filtering empirical mode decomposition,简称TVFEMD)和本征模函数(intrinsic mode function,简称IMF)能量熵增量的桥梁监测数据降噪方法。首先,利用TVFEMD分解桥梁原始监测数据,得到多个子序列;其次,采用IMF能量熵增量确定多个子序列中的有效子序列;然后,划分子序列中的结构响应分量和噪声分量,对结构响应分量重组实现监测数据降噪;最后,利用平均绝对误差(mean absolute error,简称MAE)、均方根误差(root mean squared error,简称RMSE)和信噪比(signal-noise ratio,简称SNR)对不同方法的降噪效果进行评价。仿真算例和工程实例结果表明:TVFEMD相比经验模态分解(empirical mode decomposition,简称EMD),有效解决了模态混叠问题;TVFEMD结合IMF能量熵增量方法,有效抑制了多重噪声影响,对结果精度有较大提升;与EMD-IMF能量熵增量和Kalman滤波降噪法相比,TVFEMD-IMF能量熵增量法所得到降噪信号的MAE和RMSE值分别提升了23%和21%以上,降噪效果更好,信噪比提升38%以上,抗噪性能更佳。

基于全驱系统方法的高阶严反馈系统时变输出约束控制

针对输出受不对称时变约束的不确定高阶严反馈系统,提出一种基于全驱系统方法的高阶自适应动态面输出约束控制方法.所研究的高阶严反馈系统,每个子系统都是高阶形式,通过非线性转换函数将原输出约束系统转换为新的无约束系统,从而将原系统输出约束问题转化为新系统输出有界的问题.进一步结合全驱系统方法和自适应动态面控制,直接将每个高阶子系统作为一个整体进行控制器设计,而不需要将其转化为一阶系统形式,有效简化了设计步骤;同时通过引入一系列低通滤波器来获得虚拟控制律的高阶导数,以代替复杂的微分运算.基于Lyapunov稳定性理论证明闭环系统所有信号是一致最终有界的,系统输出在满足约束的条件下能有效跟踪期望的参考信号,且可通过调整参数使得系统跟踪误差收敛到零附近的足够小的邻域内.最后,通过对柔性关节机械臂系统进行仿真,验证了所提出控制方法的有效性.

具有非线性耦合函数的时变时滞复杂网络的渐近输出同步

利用分散自适应输出反馈控制的方法,研究了一类具有不同维数节点、非线性内耦合函数和时变时滞的复杂动态网络的渐近输出同步控制问题.针对网络模型的外部耦合矩阵是时变、非零行和、非对称的情况,设计了有效的分散自适应输出反馈控制器.利用Lyapunov稳定性理论和Barbalat’s引理,证明了网络渐近输出同步的分散输出反馈控制方案的正确性.最后,利用数值仿真实例验证了所提结果的有效性和可行性.

糖皮质激素不同给药方式对AECOPD患者临床疗效的影响

目的探究糖皮质激素不同给药方式在慢性阻塞性肺疾病急性加重期(AECOPD)患者治疗中的临床疗效。方法88例AECOPD患者随机均分为吸入组与静脉组,两组患者均给予抗感染、吸氧、祛痰、解痉平喘、舒张气道等对症支持治疗的基础上,静脉组患者静脉注射甲泼尼龙琥珀酸钠(40 mg/次、1次/d),吸入组患者雾化吸入布地奈德(2 mg/次、3次/d),两组均治疗7 d;比较两组患者治疗前后动脉血氧分压(PaO_(2))、动脉血二氧化碳分压(PaCO_(2))、第1秒用力呼气容积占预计值百分比(FEV1%)、第1秒用力呼气容积占用力肺活量的比值(FEV1/FVC)、自我评估测试(CAT)评分。结果与治疗前相比,两组患者治疗后PaO_(2)均升高、PaCO_(2)均下降、FEV1%及FEV1/FVC均升高(P<0.05);两组患者CAT评分均较治疗前降低(P<0.05);两组间患者治疗疗效相当,但吸入组不良反应发生率低于静脉组(P<0.05)。结论糖皮质激素治疗AECOPD患者,无论何种给药方式,均可取得良好的治疗效果,但雾化吸入较全身应用不良反应少,安全性更高。

CLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS

The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out.

Impulsive control of nonlinear systems with time-varying delays

A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.