基于行波与模态的混合方法对Timoshenko梁进行振动主动控制

 基于Timoshenko梁理论，采用波控制和独立模态空间混合方法，对悬臂梁的振动控制问题进行研究。采用波控制方法实现对Timoshenko梁结构的一点或多点的横向位移的振动控制。首先,基于结构的整体运动,采用模态坐标控制方法，对结构振动进行整体控制设计。而后，基于结构的局部性质，采用波方法吸收结构振动中的高频能量并求出Timoshenko梁中波的反射因数和透射因数。理论上研究了单位力扰动下的悬臂梁的振动。考虑的具体方法是将PD反馈波控制与基于极点配置法设计的模态控制相结合。最后给出数值结果。     

基于内嵌式颗粒阻尼器的悬臂梁减振实验研究

针对悬臂梁结构振动控制问题，开展基于内嵌式颗粒阻尼（embedded particle damper, EPD）减振方法的理论与实验研究。应用有限元法分析悬臂梁振动特性，围绕梁前三阶模态频率开展振动控制实验，通过改变填充颗粒的参数（粒径、填充率）和激励力，比较悬臂梁在不同填充情况下的振幅，并使用半功率法计算阻尼比。采用离散元法分析不同情况下颗粒的流变行为，以确定阻尼器最优设计参数。结果表明：颗粒填充率为90%时EPD减振效果最佳；填充颗粒的粒径与系统所受激励有关，本文模型中，激励振幅为80μm时，梁前三阶模态频率下分别填充直径为8、6、1 mm颗粒时效果最好，减振率分别为47.5%、48.7%及71.2%，阻尼比分别提高1.7、3.1及2.1倍。     

基于MFC的悬臂梁振动抑制设计与试验研究

为研究压电材料MFC在太阳电池翼等低频梁板结构振动抑制中的应用,搭建压电悬臂梁试验系统,辨识得到系统传递函数,分别设计了位移开关控制器、速度开关控制器以及根轨迹控制器,对控制器的实际振动抑制效果进行了试验,试验结果表明系统阻尼比由原来的4%分别上升为3%、6%和5%,表明所设计的控制器在压电悬臂梁的一阶弯曲模态振动抑制中控制效果明显,分析了三种控制效果产生差异的原因,其中速度开关控制效果最好。     

在速度平方控制项下可变方向悬臂梁的振动

本文讨论研究可改变方向的悬臂梁非线性系统参激振动并利用速度二次项对其振动控制。讨论中认为末端带集中质量块悬臂梁的第一阶模态具有决定性的影响，对系统位移响应采用单阶Galerkin截断方法处理将描述梁的偏微分方程转化为常微分方程。本文应用非线性梁方程中加入二次速度反馈项进行控制，对控制方程应用多尺度方法得到幅频关系并作稳定性分析，最后用数值方法分别讨论外谐振下线性阻尼项、梁非线性系项、二次速度控制项增益和激励幅对悬臂梁振幅在不同方向下的影响。     

大型空间可展开天线结构的主动振动控制

利用内置压电元件的主动构件作为作动器,对大型空间可展开天线结构进行了振动主动控制的研究。分析了含压电单元的空间天线结构的振动主动控制的原理和方法,采用独立模态控制法对可展开天线结构实施主动控制。并且基于作动器的模态影响矩阵对作动器进行了优化布置,使其效能达到最大。最后采用LQR方法对结构进行控制,应用Matlab软件对该压电结构进行仿真实验控制。仿真的结果表明,通过振动主动控制明显增加了可展开天线结构的结构阻尼,取得了十分有效的振动抑制效果。     

基于模态滤波器的柔性智能桁架结构振动主动控制实验研究

基于模态滤波器技术和最优控制理论 ,在测量加速度的情况下 ,采用独立模态空间控制方法研究了空间柔性智能桁架结构的振动主动控制问题。在研制了智能桁架结构的基础上 ,基于计算机控制系统理论 ,采用加速度测量进行了柔性智能桁架结构的实时计算机振动主动控制实验研究。实验结果表明该控制方法是行之有效的     

考虑时滞影响的柔性悬臂梁的离散最优控制

 对考虑时滞影响的柔性悬臂梁的离散最优控制进行研究。首先给出包含有时滞项的控制模态方程,然后将控制模态方程离散化和标准化;连续时间形式的性能指标也离散成标准离散形式,则最优控制律可按离散最优控制理论进行设计。所得出的时滞最优控制律中,除了包含有当前的状态反馈,还包含有前若干步控制的线性组合。因在由控制模态方程推导时滞最优控制律的过程中无近似处理,所给控制方法易于保证控制系统的稳定性。还给出了从实际测量中提取模态坐标和将模态控制力转换成实际控制力的方法。最后通过数值仿真对所给控制方法的可行性和效果进行了验证。     

压电作动器用于振动主动控制技术的研究

 从理论和实验两方面分析了利用压电作动器进行柔性结构振动主动控制的机理，从能量的角度对施加控制时悬臂梁自由衰减振动的阻尼比进行了理论计算，得出了主动阻尼比与反馈增益之间的关系。建立相应的实验系统，对上述关系式进行了实验验证。     

主动约束层阻尼结构振动控制试验研究

基于主动约束层阻尼结构及独立模态振动控制方法，利用压电驱动器／传感器和粘弹性材料与薄板构成的复合层压阻尼结构，在理论研究的基础上^[1]，对一组悬壁板结构进行了试验研究，给出了部分试验研究结果，分析总结了主动约束层阻尼结构的主要优缺点。     

基于转角模态曲率的损伤识别研究

利用测量得到的模态参数,应用中心差分法求取振型曲率,用损伤前后同一位置的振型曲率变化作为结构损伤的识别指标。采用有限元方法,通过数值仿真,对不同位置发生损伤前后的悬臂梁进行仿真计算,得到其模态参数。利用构造的损伤识别指标对结构损伤情况进行识别研究。在前人研究的基础上,特别提出了利用角位移模态曲率变化来识别损伤位置。仿真算例表明：利用角位移模态曲率比平动位移模态曲率识别损伤的效果更好,精度更高。     

智能结构模糊振动控制的在环仿真

提出了采用压电材料作为传感器和驱动器,基于模糊逻辑的柔性结构主动振动控制方法,并在嵌入式微处理器上实现模糊控制策略.柔性智能梁结构为例,以单片机为控制器,采用数值方法在计算机上模拟柔性结构模型,利用计算机与单片机的串行通讯技术实现了梁结构振动控制的硬件在环仿真,并编制出良好的人机界面和硬件接口程序.仿真结果表明本文提出的模糊控制方法能够很好的实现对智能梁结构的振动抑制.     

Acceleration sensors based modal identification and active vibration control of flexible smart cantilever plate

Some flexible appendages of spacecrafts, such as solar panels, are cantilever plate structures. Thus, vibration problem is unavoidable when there is slewing maneuver or external disturbance excitation. Vibration of such cantilever plate structures includes coupled bending and torsional motion. Furthermore, the low amplitude vibration near the equilibrium point is very difficult to be quickly suppressed due to nonlinear factors of the hardware in the system, which is harmful to stability and attitude control accuracy. To solve these problems, acceleration sensor-based modal identification and active vibration control methods are presented for the first two bending and the first two torsional modes vibration of the cantilever plate. Optimal placements of three acceleration sensors and PZT patches actuators are performed to decouple the bending and torsional vibration of such cantilever plate for sensing and actuating, and identifications are achieved by experiments. A nonlinear control method is presented to suppress both high and low amplitude vibrations of flexible smart cantilever plate significantly. Experimental comparison researches are conducted by using acceleration proportional feedback and the presented nonlinear control algorithms. The experimental results demonstrate that the presented acceleration sensor-based methods can suppress the vibration of cantilever plate effectively.     

Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver

This paper presents a new approach to vibration reduction of flexible spacecraft during attitude maneuver by using the theory of variable structure control (VSC) to design switching logic for thruster firing and lead zirconate titanate (PZT) as sensor and actuator for active vibration suppression. The spacecraft to be investigated is a hub with a cantilever flexible beam appendage, which can undergo a single axis rotation. The proposed control system includes the attitude controller acting on the rigid hub, designed by variable structure control technique, and the surface-bonded PZT patches for active vibration suppression of flexible appendages, designed by the positive position feedback (PPF) control technique. To avoid chattering, pulse-width pulse-frequency (PWPF) modulation is adopted for the thruster control, which makes the thrusters to be operated in a close to linear manner and also can suppress the relatively large amplitude vibrations excited by, for example, rapid maneuver. However, some residual micro-vibrations still exist due to the switching actions. Upon that, the technique of active vibration control using PZT is turned on to provide further vibration suppression of the residual micro-vibrations and fine tuning of the system performance. By combining the advantages of both these control strategies, an improved performance for vibration control in both the macro-and micro-senses can result. Both analytical and numerical results are presented to show the theoretical and practical merit of this approach.     

具有电磁约束阻尼层梁的振动主动控制研究计算(英文)

This paper investigates vibration control of beam through electro-magnetic constrained layer damping （EMCLD） which consists of electromagnet layer, permanent magnet layer and viscoelastic damping layer. When the coil of the electromagnet is electrified with proper control strategy, the electromagnet can exert magnetic force opposite to the direction of structural deformation so that the structural vibration is attenuated. A mathematical model is developed based on the equivalent current method to calculate the electromagnetic control force produced by EMCLD. The governing equations of the system are obtained using Hamilton＇s Principle and then reduced with the assumed-mode method. A simulation on vibration control of a cantilever beam is conducted under the velocity proportional feedback to demonstrate the energy dissipation capability of EMCLD, and the beam system with the same parameter is experimented. The results of experiment and simulation are compared and the results show that the EMCLD is an effective means for suppressing modal vibration. The results also indicate that the beam system has better control performance for larger control current. The EMCLD method presented in this paper provides an applicable and efficient tool for the vibration control of structures.     

挠性航天器大角度机动的滑模变结构控制

考虑刚性主体上带有挠性梁的航天器，在建立挠性系统动力学模型的基础上，采用指数趋近率的滑模变结构控制策略进行大角度机动控制，并通过最优控制理论设计弹性稳态器抑制由于刚体运动而激发的弹性振动，数字仿真表明，提出的控制策略在实现旋转机动的同时，有效地抑制了弹性振动。     

A composite control scheme for attitude maneuvering and elastic mode stabilization of flexible spacecraft with measurable output feedback

This paper treats the question of attitude maneuver control and elastic mode stabilization of a flexible spacecraft based on adaptive sliding mode theory and active vibration control technique using piezoelectric materials. More precisely, a modified positive position feedback (PPF) scheme is developed to design the PPF compensator gains in a more systematical way to stabilize the vibration modes in the inner loop, in which a cost function is introduced to be minimized by the feedback gains subject to the stability criterion at the same time. Based on adaptive sliding mode control theory, a discontinuous attitude control law is derived to achieve the desired position of the spacecraft, taking explicitly into account the mismatched perturbation and actuator constraints. In the attitude control law, an adaptive mechanism is also embedded such that the unknown upper bound of perturbation is automatically adapted. Once the controlled attitude control system reaches the switching hyperplane, the state variables can be driven into a small bounded region. An additional attractive feature of the attitude control method is that the structure of the controller is independent of the elastic mode dynamics of the spacecraft, since in practice the measurement of flexible modes is not easy or feasible. The proposed control strategy has been implemented on a flexible spacecraft. Both analytical and numerical results are presented to show the theoretical and practical merit of this approach.     

带悬臂涡轮盘发动机转子的振动特性及平衡技术研究

在旋转试验器上研究了带悬臂涡轮盘火箭发动机氧涡轮泵转子的振动特性,并在此基础上完成了氧涡轮泵转子的高速动平衡试验.结果表明：氧涡轮泵转子的振动与悬臂涡轮盘的不平衡量密切相关,单面高速动平衡技术对减小悬臂柔性转子的振动效果显著.     

Adaptive Variable Structure Controller for Spacecraft Vibration Reduction

A hybrid control scheme to vibration reduction of flexible spacecraft is presented by using a variable structure technique for attitude control and piezoelectric materials for active vibration suppression. The attitude controller consists of a linear feedback term and a discontinuous feedback ones. An adaptive version of the proposed attitude controller is also achieved through releasing the limitation of knowing the bounds of the lumped perturbations in advance. An additional independent control system acting on the flexible parts can be designed for further vibration suppression. Simulation results have shown the theoretical and practical merit of this approach.     

STUDY ON ACTIVE CONTROL FOR A FLEXIBLE BEAM UNDER THE CONDITION OF ZERO GRAVITY

The structure/controlling coupling system is akind of dynamic feedback system in which the me-chanical load and the actuator/controller interact.Because of the influence of inertia,while the com-mon elastic structure is in rigid motion ( or largemotion) ,there inevitably exists a kind of elastic vi-bration ( or small motion) superimposed on thelarge motion.This is the phenomenon of rigid- e-lastic coupling of the motion of an elastic body.Consequently,to study the problem of the motionstabilit…