面向结构振动控制的压电作动器优化配置研究

 为了研究压电主动结构振动控制当中作动器的位置优化问题,从系统的状态空间方程出发,在系统可控性Gram矩阵特征值的基础上来描述性能指标,以输入的能量吸收率为优化目标函数,提出了一种新的位置优化配置准则。利用有限元分析(FEA)方法分析作动器的配置,并与遗传算法(GA)结合进行优化计算,计算过程中对作动器的位置采用二进制编码加以描述。通过对一压电简支板结构的仿真计算对该方法进行了验证,并与其他几种不同的配置方法进行对比,从而证明了新方法的优越性。     

压电智能反射面静态形状控制与作动器位置优化

为了提高反射面的精度,建立了压电智能反射面的形状控制模型,对该结构的力学建模方法、形状控制方法和作动器优化配置算法进行了研究。首先,将蜂窝夹层结构的压电智能反射面等效为多层复合板,根据虚功原理推导了结构的有限元方程。然后,根据建立的有限元方程,推导了反射面变形的均方根误差与作动器控制电压的关系式,以均方根误差最小为优化目标,建立了形状控制优化模型,将作动器控制电压的优化转化为约束优化问题的求解。最后,采用模拟退火算法对压电作动器进行了优化配置。为了验证形状控制的可行性及优化算法的有效性,以300mm口径的平面压电智能反射面为例进行仿真,分析结果表明,通过压电作动器的控制,可以使反射面的重力变形误差减小97%以上,对于给定数目的作动器,通过模拟退火算法优化,可使其布置在最佳的位置。     

平板压电除冰系统中压电元件排布规律研究

针对压电振动除冰方法在工程上的可用性,以平面铝板为研究对象,采用有限元模型和结构动力学分析的方法,对平板压电除冰系统中压电元件的排布规律进行了研究。以平板长度方向上的截面为研究对象,用有限元分析方法研究了二维压电耦合模型的模态振型,选取了长度方向上三阶模态振型为最佳除冰模态振型,并以此振型为后续三维模型的基础振型。针对压电元件数量、压电元件相对贴片数量和压电元件贴片集中度这三个不同的排布参数,利用三维压电耦合有限元模型,以冰层与平板交界面处的弹性应变作为激励效果的直接体现参数,仿真分析了压电元件在平板宽度方向上的排布规律。仿真结果表明：压电元件在宽度方向上排布在中间位置和边缘位置,对结构均具有较好的激励效果,压电元件的布局要避开宽度方向上弹性应变较小的位置,因此对于分布在平板宽度方向边缘的压电元件,仍然可以在目标结冰区激励出较强的振动效果;在相同的接触面积下,减小压电元件的相对贴片数量,提高压电元件的贴片集中度,均可以提高压电元件对平板的激励效果,因此在实际应用中,在尺寸和粘接结构情况允许的情况下,尽可能选择尺寸较大的压电元件;并且当曲面上压电元件的贴片范围被限制的情况下,适当提升某一方向上压电元件贴片集中度,可以提高对平板结构的激励效果。灵活结合压电元件排布规律,可以设计出可行的压电元件排布方式,为压电除冰系统的工程研究提供借鉴和参考。     

含脱胶压电传感器/驱动器的智能结构的有限元分析

将压电传感器、驱动器粘贴在复合材料结构的表面可实现结构的振动主动控制 ,但若传感器、驱动器部分脱开会对结构的静、动态特性产生显著影响。建立了一个新的加强假定应变压电固体单元 ,用于压电自适应层合结构振动主动控制的模拟仿真。与现有的压电固体单元相比 ,所建单元性能更优越 ,精度和计算效率更高 ,并能用于壳体结构的分析。采用相同坐标值但不同的节点号的方法模拟脱层 ,利用该单元分析了传感器、驱动器脱开对结构动力学特性的影响。     

垂尾抖振主动控制的压电作动器布局优化

为了提高压电作动器垂尾抖振主动控制系统的控制性能,提出一种基于输出可控性的压电作动器优化准则。使用压电驱动载荷等效方法建立压电纤维复合材料（MFC）压电作动器力学模型,并建立了带MFC压电作动器垂尾结构模型的动力学方程。在模态可控性和模态价值理论的基础上,提出考虑剩余模态影响的压电作动器优化目标函数。针对垂尾结构的前5阶模态使用遗传算法优化得到压电作动器的布局方案,使用线性二次高斯（LQG）最优控制方法控制垂尾的抖振响应。仿真结果表明,本文优化得到的布局方案比用其他方法能更好地均衡系统的模态可控性,减小剩余模态的影响,获得更好的垂尾抖振响应控制。     

Flutter control of a composite plate with piezoelectric multilayered actuators

Active flutter velocity enhancement scheme is presented for lifting surfaces, employing Linear Quadratic Gaussian based multi-input multi-output controller with multilayered piezoelectric actuators. To numerically test the developed concept, a composite plate wing, surface bonded with eight piezoelectric bender actuators and sensors has been considered. A modal flutter control model is formulated in state-space domain using coupled piezoelectric finite element procedures along with unsteady aerodynamics and optimal control theory. The bending – torsion flutter instability has been actively postponed from 44.13 to 55.5 m/s using the energy imparted by the multilayered piezoelectric actuators. As the power requirement by these actuators is comparatively very low with respect to stack actuators, they can be employed in an integrated form to develop active lifting surfaces for real time applications.     

CFRP反射器型面主动控制和作动器位置优化

研究了运用压电陶瓷作动器对碳纤维增强复合材料（CFRP）格栅反射器的型面主动控制。首先,采用了一种具有独立电压自由度的梁单元,以及考虑高阶剪切变形的板单元,对主控格栅反射器进行有限元建模;运用能量变分哈密尔顿原理推导了主控格栅反射器的有限元控制方程,并给出了反射面型面残余均方根（RMS）误差最小的电压最优控制方法。然后,研究了在典型载荷下,反射面残余RMS误差最小的PZT作动器位置分布的优化配置问题;提出了一种将遗传算法和梯度投影方法相结合的改进优化方法,用来求出在限定作动器数量的条件下,作动器几何位置的优化配置,使控制后反射面的残余RMS误差最小;给出的数值算例验证了方法的正确性和有效性。最后,研制了格栅反射器型面主动控制的实验样机,针对反射器的初始制造误差进行了型面主动控制,验证了控制方法的可行性和有效性。     

考虑扰动输入/性能输出分布时作动/传感器配置优化

 针对结构振动控制问题，提出了一种考虑扰动输入/性能输出分布信息时作动/传感器的优化配置准则。在降维的模态坐标下建立状态空间形式的结构动力学方程，通过Lyapunov方程求解扰动和作动器的能控性Gramian矩阵，并利用矩阵奇异值分解获得扰动的能控性方向和作动器的能控性方向，通过同时最大化作动器对结构的作动能力以及作动器的能控性方向与扰动的能控性方向的一致性来确定作动器的最优位置。类似思想用于确定传感器的最优位置。以采用压电片为作动器的悬臂梁为例阐述了新准则的应用。     

直升机振动主动控制的机身/压电叠层作动器耦合优化法

直升机振动主动控制通常使用惯性作动器,一般惯性作动器的附加重量要占到机体重量的4％～5％才有较好的控制效果.压电叠层作动器(PSA)作为轻质、高效的执行元件用于直升机振动主动控制可有效地降低附加重量、提高控制性能.本文将压电叠层作动器用于直升机振动主动控制,并提出了机身/压电叠层作动器耦合优化法.采用基于频率响应函数的...     

Multi-mode optimal fuzzy active vibration control of composite beams laminated with photostrictive actuators

Firstly, a multi-field coupling finite element formulation of composited beam laminated with the photostrictive actuators is developed in this paper. Moreover, an optimal fuzzy active control algorithm is also proposed on the basis of the combination of optimal control and fuzzy one.This method opens a new avenue to resolve the contradiction between the linear system control method and nonlinear actuating characteristics of photostrictive actuators. The desired control for suppressing multi-modal vibration of photoelectric laminated beam is firstly obtained through optimal control and then the fuzzy control is used to approach the desired mechanical strain induced by photostrictive actuators. Thus, the multi-mode vibration control of beam is realized.In the design process of optimal fuzzy controller, the design of fuzzy control is independent of optimal control. The simulation results demonstrate that the proposed control method can effectively realize multi-modal vibration control of photoelectric laminated beams, and the control effect of optimal fuzzy control is better than that of optimal state feedback control.     

Fractional order modeling and control of dissimilar redundant actuating system used in large passenger aircraft

In this paper, a methodology has been developed to address the issue of force fighting and to achieve precise position tracking of control surface driven by two dissimilar actuators. The nonlinear dynamics of both actuators are first approximated as fractional order models. Based on the identified models, three fractional order controllers are proposed for the whole system. Two Fractional Order PID (FOPID) controllers are dedicated to improving transient response and are designed in a position feedback configuration. In order to synchronize the actuator dynamics, a third fractional order PI controller is designed, which feeds the force compensation signal in position feedback loop of both actuators. Nelder-Mead (N-M) optimization technique is employed in order to optimally tune controller parameters based on the proposed performance criteria. To test the proposed controllers according to real flight condition, an external disturbance of higher amplitude that acts as airload is applied directly on the control surface. In addition, a disturbance signal function of system states is applied to check the robustness of proposed controller. Simulation results on nonlinear system model validated the performance of the proposed scheme as compared to optimal PID and high gain PID controllers.     

Active vibration control of piezoelectric bonded smart structures using PID algorithm

Thin-walled structures are sensitive to vibrate under even very small disturbances. In order to design a suitable controller for vibration suppression of thin-walled smart structures, an electro-mechanically coupled finite element(FE) model of smart structures is developed based on first-order shear deformation(FOSD) hypothesis. Considering the vibrations generated by various disturbances, which include free and forced vibrations, a PID control is implemented to damp both the free and forced vibrations. Additionally, an LQR optimal control is applied for comparison.The implemented control strategies are validated by a piezoelectric layered smart plate under various excitations.     

Sensor/actuator placement for flexible space structures

A new approach for the placement of sensors and actuators in the active control of flexible space structures is developed. The approach converts the discrete nature of sensor and actuator positioning problems to a nonlinear programming optimization through approximation of the control forces and output measurements by spatially continuous functions. The locations of the sensors and actuators are optimized in order to move the transmission zeros of the system further to the left of the imaginary axis. This criterion for sensor/actuator placement can be useful for optimal regulation and tracking problems, as well as for low authority controller designs. Two performance metrics are considered for the optimization and are applied to the sensor/actuator positioning of a large-order flexible space structure     

Gust load alleviation wind tunnel tests of a large-aspect-ratio flexible wing with piezoelectric control

An active control technique utilizing piezoelectric actuators to alleviate gust-response loads of a large-aspect-ratio flexible wing is investigated. Piezoelectric materials have been exten-sively used for active vibration control of engineering structures. In this paper, piezoelectric mate-rials further attempt to suppress the vibration of the aeroelastic wing caused by gust. The motion equation of the flexible wing with piezoelectric patches is obtained by Hamilton's principle with the modal approach, and then numerical gust responses are analyzed, based on which a gust load alle-viation (GLA) control system is proposed. The gust load alleviation system employs classic propor tional-integral-derivative (PID) controllers which treat piezoelectric patches as control actuators and acceleration as the feedback signal. By a numerical method, the control mechanism that piezo-electric actuators can be used to alleviate gust-response loads is also analyzed qualitatively. Further-more, through low-speed wind tunnel tests, the effectiveness of the gust load alleviation active control technology is validated. The test results agree well with the numerical results. Test results show that at a certain frequency range, the control scheme can effectively alleviate the z and x wing-tip accelerations and the root bending moment of the wing to a certain extent. The control system gives satisfying gust load alleviation efficacy with the reduction rate being generally over 20%.     

多点简谐振动响应控制下的频响矩阵测试

应用频响矩阵建立了多维振动系统输入输出之间的数学模型。探讨了一种多点简谐振动响应受到控制时的频响矩阵测试方法;分析试验中系统的实际响应和预先设定的响应参考值之间的误差,通过多次采集响应信号和激励力信号建立响应矩阵和力矩阵,根据振动运动方程求极小范数解来作为对频响矩阵的估计;给出简谐振动响应控制的算法流程,并用实测的响应信号对频响矩阵精度进行评价。试验研究表明该方法的有效性,而且响应的幅值和相位控制均满足试验的要求。     

变截面梁式压电智能板振动控制的小波模式

基于 Daubechies小波理论的尺度函数变换 ,对于变截面悬臂板结构的弯曲建立了由压电片感应器的观测电量识别挠曲变形构形的显式关系式。此基础上 ,采用具有位移与速度信号负反馈控制律后 ,建立了抑制振动的压电动力控制程序。由于小波尺度函数逼近具有低带通性质 ,即具有自动滤除高频分量的能力 ,该控制程序将不会出现由观测溢出与控制溢出耦合而造成的控制失稳 (即在抑制低频 (阶 )扰动时系统激发出高频 (阶 )扰动的现象 )。数值仿真结果表明 :该控制方法所能控制的模态阶数与压电片数相同 ,而且其控制程序在抑制外界干扰方面是有效的。     

振动传感器的相位特性测量

本文描述用激光干涉的方法测量机械振动的幅值及相位,并由此测量振动传感器灵敏度的幅频及相频特性,重点是相频特性,特别是反正切函数的计算方法。     

冗余度柔性机器人动态响应主动控制

研究了具有压电作动器与应变传感器的冗余度柔性机器人的振动主动控制问题。建立了该离散时变动力学系统的状态空间表达式。根据离散量小值原理设计了LQR最优控制律，并提出了一种状态估计的近似方法。平面3R冗余度柔性机器人的仿真算例表明，采用这种主动控制方法可使冗余度柔性机器人的动力学特性得到显改善。     

Effect of variable-angle trajectory structure on mechanical performance of CF/PEEK laminates made by robotic fiber placement

In comparison to the traditional fixed-angle trajectory, the variable-angle trajectory has a greater design space. However, it is a challenge to determine which common design curve structure is the most effective for improving mechanical performance. This work explores the effects of various design curves such as fixed-angle curve, linear curve, arc curve, sine curve, Bezier curve, and cubic polynomial curve trajectories on mechanical performance of laminates, including vibration modal performan...