Transverse waves in piezoelectric (622) crystal class

Summary The transmission of transverse surface waves in piezoelectric (622) crystal class has been studied in four cases. In the first case, a thin piezoelectric layer is resting on a deep elastic layer whereas in the second case, both the layers are considered piezoelectric with different materials. In the third case, a piezoelectric stratum is bounded on both sides by deep elastic layers whereas, in the fourth case, the upper and lower elastic layers are replaced by piezoelectric layers of different materials. The wave velocity equations are obtained for all cases.     

功能梯度复合材料圆柱壳固有频率解

本文建立了功能梯度复合材料圆柱壳的基本动力方程，给出了各类功能梯度复合材料圆柱壳固有频率的一般解析解法，并具体导出了两端简支功能梯度圆柱壳各阶固有频率解的解析表达式，十分简明、实用。     

新型压电摩擦阻尼器的有限元分析及试验研究

利用压电陶瓷的压电效应,研发出一种基于半主动控制的新型压电摩擦阻尼器,介绍其构造和工作原理。建立新型压电摩擦阻尼器的ABAQUS有限元模型,得出阻尼器在不同工况下的滞回曲线,并进行其滞回性能试验,用试验值验证阻尼器有限元模型的相似性,两者得到的阻尼器摩擦力变化趋势相近;采用ANSYS建立安装有新型压电摩擦阻尼器的输变电塔模型,利用MATLAB计算输变电塔模型各层的加速度响应,验证新型压电摩擦阻尼器在实际结构中的摩擦耗能性能,为其工程应用提供理论依据。     

Reliability‐based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements

A reliability‐based output feedback control methodology is presented for controlling the dynamic response of systems that are represented by linear state‐space models. The design criterion is based on a robust failure probability for the system. This criterion provides robustness for the controlled system by considering a probability distribution over a set of possible system models with a stochastic model of the excitation so that robust performance is expected. The control command signal can be calculated using incomplete response measurements at previous time steps without requiring state estimation. Examples of robust structural control using an active mass driver on a shear building model and on a benchmark structure are presented to illustrate the proposed method. Copyright © 2003 John Wiley & Sons, Ltd.     

SMA-压电半主动混合阻尼器减震控制分析

将形状记忆合金（Shape memory alloy,简称"SMA"）与压电摩擦阻尼器复合设计了一种半主动混合阻尼器,对SMA丝进行了材性试验,分析了循环圈数、加载速率和应变幅值对SMA丝力学性能的影响。基于试验数据,以速度方向和应变值作为神经元输入,建立了SMA的BP神经网络本构模型,并利用T-S模糊逻辑求解压电陶瓷驱动器输出电压,对1个2层的钢框架结构进行了无控、SMA被动控制和混合控制MATLAB仿真分析。结果表明:SMA的BP网络模型预测的应力误差大多集中在20 MPa以内,且误差较大点主要集中在加载的初始段和卸载的结束段等数值较小的点,BP神经网络能够较好地预测SMA丝的本构曲线。相比SMA被动控制,混合阻尼器可以更加有效地降低结构的动力反应。     

Construction parameters of graded sand-gravel foundation on seismic response law of nuclear safety grade underground corridor

The treatment of soft soil foundation under nuclear safety grade corridors with graded sand and gravel materials has a good development prospect. It is of great engineering value to explore the influence of construction parameters of graded sand and gravel foundation on the seismic response of gallery structures. Taking the safety grade underground corridor of a nuclear power plant as the engineering background, the equivalent linear method is used to consider the nonlinear dynamic characteristics of graded sand and gravel. The energy transfer boundary is applied at the truncation boundary to simulate the dissipation effect of scattered wave fluctuation energy and the ground motion input. The thicknessless contact element is introduced to consider the contact effect between the corridor structure and the graded sand and gravel foundation, so as to establish the calculation model of the dynamic interaction between the graded sand and gravel foundation and the corridor structure. Furthermore, the influence of the relative compactness and the foundation treatment depth on the seismic response of the corridor structure is studied, and the calculation results of the acceleration response spectrum and relative displacement of the corridor structure are analyzed. The calculation results show that the two construction parameters have different degrees of influence on the seismic response of corridor structure. The research results can provide reference for the engineering design and construction of underground corridors, and provide technical support for the application of graded gravel materials in soft soil foundation treatment.     

Optimal placement of sensors on buildings subjected to intermediate‐storey excitation according to QN control method

An algorithm to calculate direct velocity feedback gain with limited number of sensors is developed in a simple way such that a certain performance index is minimized according to QN control method. If a limited number of velocity outputs can be measured, full velocity responses of the whole structure can be interpolated based on the mode shapes. By defining the performance index function as a combination of the structure's velocity responses and control forces only, feedback gain can be determined according to QN control method with the external excitation being taken into account throughout the entire algorithm. Control forces are then regulated by the time‐invariant feedback gain matrix. The effective location of the active control devices for a building structure subjected to intermediate‐storey excitation has been determined to be in the three floors adjacent to the vibration source. Hence for the purpose of this paper, only the optimal placement of sensors is verified. It is shown in this paper that if the dynamic behaviour of the structure is well described by a mathematical model, sufficient response reduction effect can be achieved according to the new DVFC algorithm, and the degradation of control performance due to time delay can also be verified. Copyright © 2001 John Wiley & Sons, Ltd.     

压电材料智能摩擦阻尼器对高耸钢塔结构风振反应的半主动控制

压电材料是一种新型智能材料。本文将压电材料和被动摩擦阻尼器相结合设计出一种新型智能摩擦阻尼器,并采用基于经典最优控制理论的半主动控制策略对高耸钢塔结构风振反应的控制进行了研究,对国内即将兴建的第一高钢电视塔──合肥翡翠电视塔进行了算例分析。为满足摩擦阻尼器对高耸钢塔结构风振控制的特殊需要、文中还建立了房耸钢塔结构的空间桁架有限元模型和串联多自由度体系模型,并在形成广义控制力作用位置矩阵和计算摩擦阻尼器两端的相对位移的过程中综合地运用了这两种力学模型。本文研究表明,压电材料智能摩擦阻尼器可以有效地抑制高耸钢塔结构的风振反应。     

ELASTIC PARAMETER ESTIMATION BY COHERENCY OPTIMIZATION1

We present a method for estimating P- and S-velocities within defined layers (macromodel), using only kinematic properties (i.e. traveltimes) of the wavefield. The method does not require identification of mixed-mode events on prestack or post-stack data. After obtaining a V_p-depth model by coherency inversion, S-velocities are determined by coherency optimization along computed traveltime curves for mixed-mode events on prestack data. Since the method does not involve any dynamic wavefield computations, a simple ray-tracing algorithm is used to solve the forward problem. The simplicity of the scheme, together with the ability to apply it locally, makes it highly suitable for interactive use. Results of this method may be used to detect Poisson's ratio anomalies within or between layers and may serve as an initial model for more complicated elastic inversion algorithms.     

非线性土层地震反应分析的一种方法

本文利用作者给出的土的剪切动力本构关系的动态骨架曲线模型,结合显式差分数值逐步积分方法,给出了一种分析非线性土层地震反应的方法。反应计算中,地震效应视为基底剪切波垂直入射,且考虑了上部土层中能量向弹性基底辐射的效应。文章最后给出了本方法应用的一个算例,并给出了相应的等效线性化方法的计算结果。     

Discrete‐time variable structure control of seismically excited building structures

Generally, the active structural control system belongs to the discrete‐time control system, and the sampling period is one of the most important factors that would directly affect the performance of the control system. In this paper, active control approaches by using the discrete‐time variable structure control theory are studied for reducing the dynamic responses of seismically excited building structures. Based on the discrete reaching law method, a feedback controller which includes the sampling period is presented. The controller is extended by introducing the saturated control method to avoid the adverse effect when the actuators are saturated due to unexpected extreme earthquakes. The simulation results are obtained for a single‐degree‐of‐freedom (SDOF) system and a MDOF shear building equipped with active brace system (ABS) under seismic excitations. It is found that the discrete variable structure control approach and its saturated control method presented in this paper are quite effective. Copyright © 2001 John Wiley & Sons, Ltd.     

Development of real-time pseudo dynamic testing

This paper presents a study for the development of a system capable of performing real-time pseudo dynamic testing. The system combines the basics of the pseudo dynamic test with a dynamic actuator, a digital displacement transducer and a digital servo-mechanism. The digital servo-mechanism has been introduced to ensure accurate displacement and velocity control, in which digital feedback control with a time interval of 2 msec has been performed continuously during actuator motion. Using the system, pseudo dynamic tests under sinusoidal and earthquake ground motion are carried out for a structure having a viscous damper, demonstrating that a perfectly real-time pseudo dynamic test can be achieved by incorporating the modified central difference method into an extra buffer operation of the digital servo-mechanism. The responses solved by the pseudo dynamic tests are compared with the responses of the test structure as well as those obtained from post-numerical analysis, and it is found that the real-time pseudo dynamic test conducted in this study is accurate.     

Discrete‐time variable structure control method for seismic‐excited building structures with time delay in control

The discrete‐time variable structure control method for seismically excited linear structures with time delay in control is investigated in this paper. The control system with time delay is first discretized and transformed into standard discrete form which contains no time delay in terms of the time delay being integer and non‐integer times of sampling period, respectively. Then the discrete switching surface is determined using ideal quasi‐sliding mode and discrete controller is designed using the discrete approach‐law reaching condition. The deduced controller and switching surface contain not only the current step of state feedback but also linear combination of some former steps of controls. Numerical simulations are illustrated to verify the feasibility and robustness of the proposed control method. Since time‐delay effect is incorporated in the mathematical model for the structural control system throughout the derivation of the proposed algorithm, system performance and dynamic stability are guaranteed. Copyright © 2002 John Wiley & Sons, Ltd.     

中强震下砌体结构损伤检测方法研究

当前地震记录法检测中强震下砌体结构损伤时,基于已知砌体结构地震动记录实施损伤检测存在较高的局限性。提出新的中强震下砌体结构损伤检测方法,利用DASP动态测试分析仪和891型的压电式位移传感器,检测拟静力试验后的砌体结构模型,采用参数互补校正方法得到受损砌体结构的自振频率和振型检测,通过有限元分析获取砌体结构位移,依据频率和位移采用信号匹配方法检测砌体结构损伤情况,根据墙体刚度变化检测中强震下砌体结构的损伤程度。实验证明所提方法可对中强震下砌体结构损伤情况进行准确检测。     

Hybrid platform for vibration control of high‐tech equipment in buildings subject to ground motion. Part 2: analysis

The experimental results of using a hybrid platform to mitigate vibration of a batch of high‐tech equipment installed in a building subject to nearby traffic‐induced ground motion have been presented and discussed in the companion paper. Based on the identified dynamic properties of both the building and the platform, this paper first establishes an analytical model for hybrid control of the building‐platform system subject to ground motion in terms of the absolute co‐ordinate to facilitate the absolute velocity feedback control strategy used in the experiment. The traffic‐induced ground motion used in the experiment is then employed as input to the analytical model to compute the dynamic response of the building‐platform system. The computed results are compared with the measured results, and the comparison is found to be satisfactory. Based on the verified analytical model, coupling effects between the building and platform are then investigated. A parametric study is finally conducted to further assess the performance of both passive and hybrid platforms at microvibration level. The analytical study shows that the dynamic interaction between the building and platform should be taken into consideration. The hybrid control is effective in reducing both velocity response and drift of the platform/high‐tech equipment at microvibration level with reasonable control force. Copyright © 2003 John Wiley & Sons, Ltd.     

On the guided and surface shear horizontal waves in monoclinic transversely periodic layers and halfspaces with arbitrary variation of material properties across the unit cell

The paper outlines analytically and exemplifies numerically the basic aspects, characterizing dispersion spectra of the shear horizontal (SH) waves in transversely periodic layers and half-spaces with a monoclinic functionally graded unit cell. On introducing the background, the ’quasi-orthorhombic’ formulation is pointed out. Further analytical consideration bypasses explicit intricacy of the wave solutions in continuously varying media and relies only on a few basic traits of the governing equation of SH motion. An elementary reasoning pinpoints the key features of the Floquet eigenmodes and their link to the traction-free boundary conditions in question. This simple grounds suffices to generalize the remarkable property, previously restricted to the orthorhombic piecewise homogeneous periodic stacks, which implies that the SH dispersion spectrum for a unit cell, assumed free of traction at the faces, is embedded into the spectrum for the finite periodic structure of these unit cells and contains the locus of surface-wave solutions for the semi-infinite periodic structure. The conclusion is valid for an arbitrary continuous and/or discrete transverse periodic inhomogeneity. Numerical results, presented for the case of continuously inhomogeneous unit cell, are based on the Peano series of multiple integrals.     

Hybrid platform for vibration control of high‐tech equipment in buildings subject to ground motion. Part 1: experiment

This paper presents an experimental study, while a companion paper addresses an analytical study, to explore the possibility of using a hybrid platform to mitigate vibration of a batch of high‐tech equipment installed in a building subject to nearby traffic‐induced ground motion. A three‐storey building model and a hybrid platform model are designed and manufactured. The hybrid platform is mounted on the building floor through passive mounts composed of leaf springs and oil dampers and controlled actively by an electromagnetic actuator with velocity feedback control strategy. The passive mounts are designed in such a way that the stiffness and damping ratio of the platform can be changed. A series of shaking table tests are then performed on the building model without the platform, with the passive platform of different parameters, and with the hybrid platform. The experimental results demonstrate that the hybrid platform is very effective in reducing the velocity response of a batch of high‐tech equipment in the building subject to nearby traffic‐induced ground motion if dynamic properties of the platform and control feedback gain are selected appropriately. Copyright © 2003 John Wiley & Sons, Ltd.     

Optimal placement of DVFC controllers on buildings subjected to earthquake loading

The dynamic responses of tall civil structures due to earthquakes are very important to the civil engineer. These dynamic responses can produce situations that can range from uncomfortable to unsafe for the building occupants. In recent years classical control theory has been used in civil engineering to reduce the dynamic responses of tall civil structures. Most optimal control algorithms for civil structures involve full state feedback control which requires good estimates of the velocity and displacements throughout the structure. However, there are several important advantages of output feedback control: it takes less computational effort and it has the robustness of passive systems. In this paper, optimal control algorithms are formulated for the optimization of feedback gains and controller placement for building structures. The fundamental basis for these algorithms is the calculation of the gradient of the performance function with respect to the gain matrix. The effectiveness of the algorithm is demonstrated for deterministic earthquake loads in the time domain. Copyright © 1999 John Wiley & Sons, Ltd.     

Lanczos method for dynamic analysis of damped structural systems

In this paper we extend the Lanczos algorithm for the dynamic analysis of structures⁷ to systems with general matrix coefficients. The equations of dynamic equilibrium are first transformed to a system of first order differential equations. Then the unsymmetric Lanczos method is used to generate two sets of vectors. These vectors are used in a method of weighted residuals to reduce the equations of motion to a small unsymmetric tridiagonal system. The algorithm is further simplified for systems of equations with symmetric matrices. By appropriate choice of the starting vectors we obtain an implementation of the Lanczos method that is remarkably close to that in Reference 7, but generalized to the case with indefinite matrix coefficients. This simplification eliminates one of the sets of vectors generated by the unsymmetric Lanczos method and results in a symmetric tridiagonal, but indefinite, system. We identify the difficulties that may arise when this implementation is applied to problems with symmetric indefinite matrices such as vibration of structures with velocity feedback control forces which lead to symmetric damping matrices. This approach is used to evaluate the vibration response of a damped beam problem and a space mast structure with symmetric damping matrix arising from velocity feedback control forces. In both problems, accurate solutions were obtained with as few as 20 Lanczos vectors.     

关于构造热涌模型的进一步思考

构造热涌模型是为解释全球岩石圈和若干局部构造运动特征而提出的一种动力学模型 ,它强调在岩石圈的分层结构中 ,层的介质相对而言有“软”、“硬”之分 ,硬层内近垂向裂缝发育 ,软层物质可沿层间流动和沿硬层内裂缝上涌 ,因构造裂缝的开合是变化的 ,对软物质上涌起控制作用。依据近几年来岩石圈的一些探测成果 ,将构造热涌模型发展为层块构造热涌模型。本文阐述了构造热涌模型的要点和立论根据 ,并根据这个模型对一些构造现象和板块构造理论面临的一些困难问题进行了讨论