随机结构分析的扩阶系统方法（II）结构动力分析

本文论述随机结构系统在确定性时程激励下的分析方法。文中提供的扩阶系统动力方程的一般公式，适用于同时具有随机质量、随机阻尼、随机刚度参数的多自由度动力系统。文中并对此扩阶动力方程建议了基于线性加速度假定的递归聚缩算法。     

随机结构分析的扩阶系统方法(Ⅰ)——扩阶系统方程

本文提出了一类新的随机结构分析方法——扩阶系统方法。文中首先论述了随机函数空间中的正交展开与次序正交展开概念。利用随机函数空间中的正交分解原理,证明了扩阶系统方程的正确性。     

随机结构分析的扩阶系统方法（I）扩阶系统方程

本文提出了一类新的随机结构分析方法－－扩阶系统方法。文中首先论述了随机函数空间中的正交展开与次序正交展开概念。利用随机函数空间中的正交分解原理，证明了扩阶系统方程的正确性。     

含随机参数粘弹性结构的有限元法分析

本文在空间上采用有限元法。在时域上采用离散的方法。建立了用扩阶随机有限元方法求解含随机参数粘弹性问题的计算模型，并给出了算例。结果表明，本文解和Monte-Carlo模拟解吻合。     

结构动力反应分析中的一种显式输入反演方法

本文简要总结，评述了结构动力反应分析中两类输入反演方法（脉动函数法和直接时域法）的优缺点，在此基础上通过应用文献[1]中提出的3阶显式方法，获得了一个关于结构输入反演问题的新解法－显式直接时域法，新方法集合了脉冲函数法和直接时域法的优点，既可按显式求解动力微方程，又适用于非线性系统的动力反演问题，最后，通过算例对该方法进行了数值验证。     

钢框架基于复模态随机反应分析的抗震可靠度研究

首次将复模态法应用于钢框架结构的随机地震反应分析中,通过算例对钢框架结构在平稳地震激励下的抗震可靠度进行了计算分析。同时,提出了钢框架在非平稳地震激励下的反应统计量的求解方法。研究表明,钢框架结构在非平稳地震激励下的随机反应分析,可以利用扩阶的方法来进行,将求解结构非平稳随机响应转化为求解扩阶系统在均匀调制白噪声激励下的响应。采用复模态分析法可较方便地求解出结构在非平稳地震激励下弹性随机反应的协方差函数及均方差的解析表达式。     

随机结构动力可靠度分析的极值概率密度方法

提出了随机结构动力可靠度分析的极值概率密度方法。基于概率密度演化的基本思想,构造一个虚拟随机过程,使得随机结构动力反应的极值为该虚拟随机过程的截口随机变量。进而．采用概率密度演化方法,建立概率密度演化方程并求解给出随机结构动力反应的极值分布。在安全域内积分即可给出结构动力可靠度,当安全界限为随机变量时,采用这一方法几乎不增加额外的工作量,与随机模拟结果的比较表明,本文建议方法具有良好的精度和效率。     

基于滞回曲线以及结构动力方程的混凝土结构抗震稳定性分析

为准确全面地量化分析研究土木工程建筑中混凝土结构抗震稳定性,提出基于滞回曲线以及结构动力方程的混凝土结构抗震稳定性分析方法。首先采用滞回曲线描述混凝土结构在地震作用下的损伤情况,对滞回曲线模型拐点进行有效操作,确保动力方程对混凝土结构抗震稳定性进行有效分析。其次采用基于混凝土结构动力方程的抗震稳定性分析方法,对地震地面运动模型以及结构分析模型来分析混凝土结构的随机地震反应情况,得到混凝土结构随机反应的汇总量,在此基础上通过双参数的结构破坏模型,基于结构稳定性原理,获取运算混凝土结构抗震稳定性的概率表达式,再基于该表达式分析混凝土结构的抗震稳定性情况。实验结果说明,所提方法能够对土木工程建筑中不同类型混凝土构件抗震稳定性进行有效分析,分析结果准确且全面。     

抗风结构随机反应及可靠性分析

本文系统研究了风荷载作用下结构随机反应及动力可靠性分析方法,共分四个部分:风荷载的统计;结构风振随机反应分析;抗风结构动力可靠性分析;工程实例的计算与分析。     

TMD结构基于双过滤白噪声随机地震激励的系列响应的简明解

针对既有方法在分析TMD结构基于双过滤白噪声激励下结构响应的解表达式复杂而导致计算效率低的问题,提出了一种简明封闭解法。首先,利用双过滤白噪声谱的滤波方程与TMD结构的地震动方程联立,可将TMD结构基于复杂的双过滤白噪声激励准确的表示为易于求解的运动方程;其次,基于复模态法获得TMD耗能结构位移、层间位移的系列响应的复特征值及复模态参与系数;然后基于随机振动理论获得了TMD结构随机地震动系列响应（相对于地面绝对位移和结构层间位移）的功率谱统一形式的二次正交解,进而获得了TMD结构系列随机响应的0-2阶谱矩和方差的简明封闭解。最后研究了基于首超破坏准、Markov过程假设及串联失效模式的TMD结构的体系动力可靠度。通过一算例分析,表明了本文方法的正确性和高效性。因此,本文方法可用于各类线性结构基于复杂的随机地震动响应的分析及其动力可靠度计算。     

DYNAMIC RESPONSE VARIABILITY OF STRUCTURES WITH UNCERTAIN PROPERTIES

A modal-based analysis of the dynamic response variability of multiple degree-of-freedom linear structures with uncertain parameters subjected to either deterministic or stochastic excitations is considered. A probabilistic methodology is presented in which random variables with specified probability distributions are used to quantify the parameter uncertainties. The uncertainty in the response due to uncertainties in the structural modelling and loading is quantified by various probabilistic measures such as mean, variance and coefficient of excess. The computation of these probabilistic measures is addressed. A series expansion involving orthogonal polynomials in terms of the system parameters is first used to model the response variability of each contributing mode. Linear equations for the coefficients of each series expansion are derived using the weighted residual method. Mode superposition is then used to derive analytical expressions for the variability and statistics of the uncertain response in terms of the coefficients of the series expansions for all contributing modes. A primary–secondary system and a ten-story building subjected to deterministic and stochastic loads are used to demonstrate the methodology, as well as evaluate its performance by comparing it to existing methods, including the computationally cost-efficient perturbation method.     

结构损伤分析的力学方法

本文将损伤力学中的损伤变量概念从材料广到了构件和结构；在此基础上，针对钢筋混凝土结构单调力－变形曲线，给出了其损伤演变过程，并对等位移循环和地震后钢筋混凝土压弯构件的低周疲劳损伤进行了分析。最后，探讨了系统损伤的组合问题。     

RESPONSE ANALYSIS FOR FUZZY STOCHASTIC DYNAMICAL SYSTEMS WITH MULTIPLE DEGREES OF FREEDOM

Most real-life structural/mechanical systems have complex geometrical and material properties and operate under complex fuzzy environmental conditions. These systems are certainly subjected to fuzzy random excitations induced by the environment. For an analytical treatment of such a system subjected to fuzzy random excitations, it becomes necessary to establish the general theory of dynamic response of a system to fuzzy random excitations. In this paper, we extend the work published in Reference [1], and discuss the case of Multi-Degree-of-Freedom (MDF) fuzzy stochastic dynamical systems. The theory of the response, fuzzy mean response and fuzzy covariance response of multi-degree-of-freedom system to fuzzy random excitations in the time domain and frequency domain is put forward. Two cases to determine the fuzzy response statistics of the fuzzy stochastic dynamical system with multiple degrees of freedom are discussed. Two examples are considered in order to demonstrate the rationality and validity of the theory. © 1997 by John Wiley & Sons, Ltd.     

基于自平衡力的弹塑性动力反应分析方法

本文给出了一个基于自平衡力的弹塑性结构动力反应分析的新方法，详细叙述了方法的原理和过程，并对用改进的Ｔａｋｅｄａ滞变模型描述的梁单元框架结构给出了具体的分析方法。这个方法与传统的方法不同，在分析中不必修正结构的刚度矩阵，而代之以计算代表塑性铰变形引起的应力重分布的动力自平衡力，因而大大地节省了计算机时，最后通过算例对本文方法进行了验证。     

工程结构利用悬吊摆的振动控制

本文着重研究利用悬吊摆作为被动控制装置减小结构地震反应的方法。     

RANDOM SEISMIC RESPONSES OF MULTI-SUPPORT STRUCTURES IN EVOLUTIONARY INHOMOGENEOUS RANDOM FIELDS

An efficient approach is proposed for analysing the non-stationary random responses of complex structures located in an evolutionary inhomogeneous stochastic field. The approach is a kind of complete CQC method because the cross-correlation terms both between the participant modes and between the ground joint excitations are included in the response calculations. The effect of the loss of coherency between ground joints is also taken into account. For non-proportionally damped structures with many degrees of freedom, the order of the equations of motion can be reduced by using only real modes while structural non-stationary random responses can still be computed conveniently and accurately. © 1997 by John Wiley & Sons, Ltd.     

输电塔－线耦联体系地震反应分析方法（Ⅱ）：纵向

本文通过一座三层的耗能－隔震柔性底层钢管混凝土结构模型和一座三层普通钢筋混凝上结构模型的振动台实验，着重研究了耗能－隔震柔性底层钢管混凝上结构的抗震性能和减震效果，并与普通的钢筋混凝土结构的实验进行了分析比较，研究了两种结构体系在地震作用下的耗能分布和地震累积损伤情况。实验结果表明，耗能－隔震柔性底层能够有效地吸收地震输入的大部分能量，防止和减小了上部结构的地震破坏．文中还讨论了耗能－隔震柔性底层结构中钢管混凝土柱与橡胶隔震器之间的轴力分配以及在水平变形下的稳定性问题．     

ACTIVE AND SEMI-ACTIVE CONTROL OF STRUCTURES UNDER SEISMIC EXCITATION

Considerable effort has been devoted to develop passive and active methods for reducing structural response under seismic excitations. Passive control approaches have already found application in practice. Active control methods, on the other hand, are being vigorously examined for application to civil structures. This paper investigates the application of active and semi-active control schemes to structures subjected to seismic excitations, and it focuses on the use of the sliding-mode control approach for the development of the control algorithms. The possibility of control redundancy with respect to the number of sliding constraints is taken into account in the controller design. Several sets of numerical results are obtained for a realistic 10-storey shear building, subjected to earthquake-induced ground motions and controlled by active or semi-active control schemes. It is observed that both active and semi-active control schemes can be used to reduce the dynamic response. Active control performs very effectively in reducing the structural response, but the required control force values can be quite large to limit its practical application in the case of large and massive buildings. Active regulation of linear viscous dampers was found unnecessary for this type of structural system, as it did not induce any significantly more reduction in the response than the dampers acting passively. On the other hand, it is shown that active regulation of stiffness can be used with advantage to reduce the response. © 1997 by John Wiley & Sons, Ltd.     

结构模糊随机可靠度的实用计算方法

本文以模糊随机变量为基本变量，定义了结构的模糊随机功能函数，分析了结构有效状态与失效状态之间的模糊性，建立了结构的模糊随机极限状态方程。利用序关系给出单失效模式结构的模糊安全准则，讨论了ａ－约束水平条件下单失效模式结构的失效概率、可靠度及可靠指标，进而得出结构的模糊随机失效概率、模糊随机可靠度及模糊可靠指标等。本文给出的具体计算方法和目前设计规范中彩的方法是相对应的。