ACOUSTIC POWER SUPPRESSION OF A PANEL STRUCTURE USING H∞OUTPUT FEEDBACK CONTROL

This paper presents a robust control system design for suppressing the radiated acoustic power emitted from a vibrating planar structure, and spillover effect caused by neglected high-frequency modes. A state-space model of a simply supported panel structure is derived and an output equation is formed based on the one-dimensional PVDF film sensors. An output feedback H_∞control is designed by introducing a multiplicative perturbation which represents unmodelled high-frequency dynamics in the control system. The simulation and experimental results demonstrated significant decrease in sound radiation for the considered structural power modes in control.     

A ROBUST CONTROL OF A DYNAMIC BEAM STRUCTURE WITH TIME DELAY EFFECT

The objective of this paper is to present a feasible methodology that can achieve good control performance of a dynamic beam structure system with time delay effect. To achieve good control, a robust control called the modified fuzzy sliding mode control (FSMC) with phase shift method is introduced in this paper. Conventionally, the FSMC is easily designed without precise system modelling and needs very little information for online calculation. However, numerical simulation results show that increasing the time delay will reduce its performance and the system will become unstable for a large time delay. The phase shift method can assist the system in predicting the real status value as a compensation for time delay effect. The results also show improvement on both the system's robustness and stability. Furthermore, by comparing the maximum and average bending displacement reduction rates of the beam structure, it is found that the FSMC with phase shift compensation will improve the system's performance.     

FEEDFORWARD ADAPTIVE CONTROL OF FLEXURAL VIBRATION IN A BEAM USING WAVE AMPLITUDES

This paper concerns the real-time estimation of wave amplitudes and their subsequent use as a cost function in adaptive active control of bending vibrations in a beam. The amplitude of the wave propagating downstream from the control location is estimated by filtering the outputs of an array of sensors. Minimizing this wave amplitude has significant advantages over the more conventional approach in which velocity at some point is minimized. Expressions for the ideal frequency responses of the wave filters are found for the case of an array comprising two sensors in the far field. These filters are non-causal. FIR implementations designed using direct and time-delay methods are described, the latter offering some substantial advantages. Practical performance considerations are discussed, including filter length, frequency range, effects of near fields, group delays, accuracy and cross-sensitivity. Simulations and experimental measurements are performed and compared.     

Critical value computation for H∞-Riccati difference equations

In designing finite horizon discrete time H_∞ controllers, the associated H_∞-Riccati difference equations must be solved. But the Riccati equation has a non-negative solution only when γ⁻² is small enough. So it is important to get the upper bound of the parameter, i.e., the critical value that ensures the existence of the solution to the Riccati equation. The solution sequence of the Riccati difference equation can be constructed by the conjoined basis of an associated linear Hamiltonian difference system. Based on this expression and the Hamiltonian difference system eigenvalue theorems, the equivalence between the critical value and the first order eigenvalue of the linear Hamiltonian difference system is presented. Since the critical value is also shown to be the fundamental eigenvalue of a generalized Rayleigh quotient, an extended form of Wittrick-Williams algorithm is presented to search this value.     

CONTROL DESIGN OF ACTIVE VIBRATION ISOLATION USING μ -SYNTHESIS

Numerical and experimental investigations on active vibration isolation system are presented in this paper. Two configurations are implemented for a statically balanced three-mount system. To reduce the influence of payload dynamics and coupling among the control actuators, intermediate masses are added to the system. Linear quadratic Gaussian control andμ -synthesis are employed in the controller synthesis. The controllers are implemented on the platform of a floating-point digital signal processor. The results obtained from simulations and experiments indicated that the optimal controllers achieved the desired performance under the constraint of robust stability.     

CONTROL OF MULTI-SPAN BEAM VIBRATION BY A RANDOM WAVE REFLECTOR

In this paper, a new wave reflector called random wave reflector (RWR) is introduced for the control of transverse vibration and wave propagation in an infinite, multi-span, simple-support beam. In order to illustrate the theory, RWR is first tested in a simple configuration of controlling plane wave propagation through layers of gas media. Results demonstrate that RWR has great advantages over other types of noise abatement methods. RWR is then applied to control the vibration of the multi-span beam in which the support locations are given in a random manner. Two types of external excitations, an incident vibration wave and an external point force, are considered separately. Transmission loss, localization factor, mode shape and input power flow are used to investigate the effectiveness of RWR. The results show that no vibrational power flow can be tapped into or propagate through a random system at any frequency. The passbands, which always exist in traditional systems, are eliminated in a random system for which much better performance is obtained over a broad frequency range.     

VIBRATION CONTROL FOR THE PRIMARY RESONANCE OF A CANTILEVER BEAM BY A TIME DELAY STATE FEEDBACK

The primary resonance of a cantilever beam under state feedback control with a time delay is investigated. By means of the asymptotic perturbation method, two slow-flow equations on the amplitude and phase of the oscillator are obtained and external excitation-response and frequency-response curves are shown. Vibration control and high-amplitude response suppression can be performed with appropriate time delay and feedback gains. Moreover, energy considerations are used in order to investigate existence and characteristics of quasiperiodic modulated motion for the cantilever beam. It can be demonstrated that appropriate choices for the feedback gains and the time delay can exclude the possibility of modulated motion and reduce the amplitude peak of the primary resonance. Analytical results are verified with numerical simulations.     

H∞ synchronization of chaotic systems using output feedback control design

This article investigates the H_∞ synchronization problem for a general class of chaotic systems. Based on Lyapunov theory, linear matrix inequality (LMI) and linear matrix equality (LME) formulation, the output feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H_∞-norm constraint. Two illustrative examples are provided to demonstrate the effectiveness of the developed theoretical results.     

IMPROVEMENT OF A TAIL-PLANE STRUCTURAL MODEL USING VIBRATION TEST DATA

To achieve the best structural model improvement using vibration test data, a major effort has been made to identify poor modelling regions as a guideline for subsequent model updating. The method presented and used in this paper is the energy error estimation method. In the method the difference between analytical and test data based energies at element scale is estimated to indicate any poor structural mass and stiffness modelling. As a result, poor modelling regions can be distinguished from those modelled correctly and the improvement of the original structural model can be carried out effectively and accurately. To demonstrate the application of this method, a full-scale tail-plane structure has been studied by using simulated “test” modes as a simulated case and using measured modes as a practical case. In both cases poor modelling regions of the original structural model have been accurately located. Subsequently, a significant improvement of the structural model with a reduction of average frequency error from original 2·2% down to 0·1% for the simulated case and from 4·6 to 1·8% for the practical case has been achieved.     

SIMPLIFIED MODELS FOR THE LOCATION OF CRACKS IN BEAM STRUCTURES USING MEASURED VIBRATION DATA

A new simplified approach to modelling cracks in beams undergoing transverse vibration is presented. The modelling approach uses Euler-Bernoulli beam elements with small modifications to the local flexibility in the vicinity of cracks. This crack model is then used to estimate the crack locations and sizes, by minimizing the difference between the measured and predicted natural frequencies via model updating. The uniqueness of the approach is that the simplified crack model allows the location and damage extent to be estimated directly. The simplified crack model may also be used to generate training data for pattern recognition approaches to health monitoring. The proposed method has been illustrated using the experimental data on beam examples.     

VIBRATION ANALYSIS OF A DAMPED ARCH USING AN ITERATIVE LAMINATE MODEL

A new model is presented for the dynamic analysis of a laminated circular ring segment. The differential equations which govern the free vibrations of a circular ring segment and the associated boundary conditions are derived by Hamilton's principle having consideration for the bending and shear deformation of all layers. The author uses a new iterative process to successively refine the stress/strain field in the sandwich arch. The model includes the effects of transverse shear and rotatory inertia. The iterative model is used to predict the modal frequencies and damping of simply-supported sandwich circular arch. The solutions for a three-layer circular arch are compared with a three-layer approximate model.     

浅析细激光束再现全息相

对所查资料中细激光束成像性质提出异议,并加以讨论。     

周期聚焦磁场中束晕-混沌的简单函数控制

本文采用粒子-束核模型,基于束晕-混沌的非线性控制策略,对周期性聚焦磁场中满足K—V分布的离子束进行模拟研究,提出了控制其束晕-混沌的简单函数控制器,并给出具体的实施方案．数值模拟研究表明,运用这种方法可以消除束晕及其再生现象,达到对束晕-混沌的有效控制．     

用分光计测量液体的折射率

本文提出了用分光计测量液体折射率的新方法     

H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges

This work deals with the optimization of fluid viscous damper systems (FVDs) to reduce the resonant dynamic structural response of high-speed railway bridges by algebraic and numerical approaches. The presented method chooses the objective function based on the _H∞$H_{\infty }$ norm over the frequency band of interest. This function allows taking into account structural damping properties and minimizing simultaneously the structural response associated with multiple modes. Especially, the proposed objective function may also be extended to nonlinear problems to determine optimal parameters of nonlinear fluid viscous dampers which may be an interesting solution in applications where high force levels are expected in the dampers. Finally, the proposed method is validated through numerical simulations. The simulation results show that the optimal FVD coefficients obtained by using the presented method are more exact than those by the previous method. Besides, the effectiveness of the method for solving the problems with the contribution of high modes and the consideration of nonlinear FVDs is also proved.     

用双、单摆振动示波装置合成欠阻尼振动实验研究

利用JGYW－2型双－单摆振动示波装置对两个相互垂直方向的同频率欠阻尼振动的合成进行了实验研究和理论分析，得到了欠阻尼振动合成的部分图形和表达式。当两个相互垂直、同频率、同振幅、位相差为π/2的欠阻尼振动合成时，振动曲线为等角螺线，从而揭示了数学上等角螺线的物理意义。     

有附加装置的悬臂梁应变之讨论

本文讨论了附加装置尺寸对悬臂梁纯弯曲时挠度及应变的影响。采用调节电桥电路平衡的方法,可以只读出所施的力使梁产生的挠度及应变。     

非相干背景光辐照对LiNbO3∶Fe与LiNbO3∶Fe∶In晶体中二波耦合的控制

理论分析和实验观测了非相干背景光辐照下掺杂LiNbO₃晶体中的二波耦合,发现非相干背景光能够在很大范围内灵活有效地控制信号光增益,抑制扇形效应,提高信噪比,缩短光栅的建立时间.入射光光强比一定时,适当地增大背景光光强可以使光栅响应时间减小一个数量级.尤其对于抽运光光强远大于信号光光强的情况下,上述作用更为明显. 关键词： 光折变 二波耦合 非相干背景光