Passive vibration control of truss-cored sandwich plate with planar Kagome truss as one face plane

Kagome based high authority shape morphing structure is a kind of truss-cored sandwich metal plate with a planar Kagome truss as one of its face plane. The planar Kagome truss can achieve arbitrary in-plane nodal displacements with minimal internal resistance when its rods are deformed. Moreover, the in-plane deflection of the planar Kagome truss may induce the lateral deflection of the whole sandwich plate. In this paper, the feasibility to enhance the damping of the truss-cored sandwich plate through the replacement of a very small portion of rods in the planar Kagome truss by cylindrical viscoelastic dampers is exploited. The Biot model is chosen to simulate the behavior of the viscoelastic material in the dampers, and the fraction of axial modal strain energy of the rods in the planar Kagome truss is adopted as the index to decide the positions of the dampers. Through complex modal analysis and time-domain simulation, it is shown that the passive vibration control approach is very effective for the vibration reduction of this kind of truss-cored sandwich plates.

Independent modal variable structure fuzzy active vibration control of thin plates laminated with photostrictive actuators

Photostrictive actuators can produce photodeformation strains under illumination of ultraviolet lights. They can realize non-contact micro-actuation and vibration control for elastic plate structures. Considering the switching actuation and nonlinear dynamic characteristics of photostrictive actuators, a variable structure fuzzy active control scheme is presented to control the light intensity applied to the actuators. Firstly, independent modal vibration control equations of photoelectric laminated plates are established based on modal analysis techniques. Then, the optimal light switching function is derived to increase the range of sliding modal area, and the light intensity self-adjusting fuzzy active controller is designed. Meanwhile, a continuous function is applied to replace a sign function to reduce the variable structure control （VSC） chattering. Finally, numerical simulation is carried out, and simulation results indicate that the proposed control strategy provides better performance and control effect to plate actuation and control than velocity feedback control, and suppresses vibration effectively.

Actively tunable sandwich acoustic metamaterials with magnetorheological elastomers

Sandwich structures are widespread in engineering applications because of their advantageous mechanical properties.Recently,their acoustic performance has also been improved to enable attenuation of low-frequency vibrations induced by noisy environments.Here,we propose a new design of sandwich plates(SPs)featuring a metamaterial core with an actively tunable low-frequency bandgap.The core contains magnetorheological elastomer(MRE)resonators which are arranged periodically and enable controlling wave attenuation by an external magnetic field.We analytically estimate the sound transmission loss(STL)of the plate using the space harmonic expansion method.The low frequency sound insulation performance is also analyzed by the equivalent dynamic density method,and the accuracy of the obtained results is verified by finite-element simulations.Our results demonstrate that the STL of the proposed plate is enhanced compared with a typical SP analog,and the induced bandgap can be effectively tuned to desired frequencies.This study further advances the field of actively controlled acoustic metamaterials,and paves the way to their practical applications.

Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges

This article makes the first attempt in assessing the influence of active constrained layer damping(ACLD)treatment towards precise control of frequency responses of functionally graded skew-magneto-electroelastic(FGSMEE)plates by employing finite element methods.The materials are functionally graded across the thickness of the plate in terms of modest power-law distributions.The principal equations of motion of FGSMEE are derived via Hamilton’s principle and solved using condensation technique.The effect of ACLD patches are modelled by following the complex modulus approach(CMA).Additionally,distinctive emphasis is laid to evaluate the influence of geometrical skewness on the attenuation capabilities of the plate.The accuracy of the current analysis is corroborated with comparison of previous researches of similar kind.Additionally,a complete parametric study is directed to understand the combined impacts of various factors like coupling fields,patch location,fiber orientation of piezoelectric patch in association with skew angle and power-law index.

Dynamic modeling and H_∞ independent modal space vibration control of laminate plates

In this paper, combining the transfer matrix method and the finite element method, the modified finite element transfer matrix method is presented for high efficient dynamic modeling of laminated plates. Then, by constructing the modal filter and the disturbance force observer, and using the feedback and feedforward approaches, the H ∞ independent modal space control strategy is designed for active vibration control of laminate plates subjected to arbitrary, immeasurable disturbance forces. Compared with ordinary dynamic modeling and control methods of laminated plate structures, the proposed method has the low memory requirement, high computational efficiency and robust control performance. Formulations as well as some numerical examples are given to validate the method and the control performance.

Random Vibration Control of Laminated Composite Plates with Piezoelectric Fiber Reinforced Composites

This paper presents an analysis of the active control of random vibration for lami- nated composite plates using piezoelectric fiber reinforced composites （PFRC）. With Hamilton＇s principle and the Rayleigh-Ritz method, the equation of motion for the resulting electromechani- cal coupling system is derived. A velocity feedback control rule is employed to obtain an effective active damping in the suppression of random vibration. The power spectral density and mean- square displacements of the random vibration for laminated plates under different control gains are simulated and the validity of the present control strategy is confirmed. The effect of piezoelec- tric fiber orientation in the PFRC layer on the random vibration suppression is also investigated. The analytical methodology can be expanded to other kinds of random vibration.

Nonlinear active control of damaged piezoelectric smart laminated plates and damage detection

Considering mass and stiffness of piezoelectric layers and damage effects of composite layers, nonlinear dynamic equations of damaged piezoelectric smart laminated plates are derived. The derivation is based on the Hamilton＇s principle, the higher- order shear deformation plate theory, von Karman type geometrically nonlinear straindisplacement relations, and the strain energy equivalence theory. A negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to realize the active control and damage detection with a closed control loop. Simply supported rectangular laminated plates with immovable edges are used in numerical computation. Influence of the piezoelectric layers＇ location on the vibration control is in- vestigated. In addition, effects of the degree and location of damage on the sensor output voltage are discussed. A method for damage detection is introduced.

主动声学黑洞振动控制研究综述

目的综述主动声学黑洞在振动控制领域的研究进展,为机械设备中的梁板结构振动问题提供技术参考。方法使用文献调研法,对学术领域中有关主被动声学黑洞振动控制的最新研究进行总结和分类,包括主动前馈声学黑洞、主动反馈声学黑洞、一维被动声学黑洞和二维被动声学黑洞,分析各类声学黑洞在振动控制方面的优势与弊端,并对主动声学黑洞未来的研究方向进行展望。结果当前主动声学黑洞在振动控制领域的研究正处于初步发展阶段,尚未有研究将其应用至机械设备的振动控制中,总结和讨论主动声学黑洞这一新兴振动控制技术的研究进展,有助于机械设备中梁板结构的振动控制问题的解决。结论主动声学黑洞在振动控制方面拥有独特的优势,具有较高的学术研究价值和广泛的工业应用前景,为机械设备的振动控制提供了新途径。

Numerical Investigation on Vibration Performance of Flexible Plates Actuated by Pneumatic Artificial Muscle

This paper theoretically introduced the feasibility of changing the vibration characteristics offlexible plates by using bio-inspired,extremely light,and powerful Pneumatic Artificial Muscle(PAM)actuators.Many structural plates or shells are typicallyflexible and show highvibration sensitivity.For this reason,this paper provides a way toachieve active vibrationcontrolfor suppressing the oscillations ofthese structuresto meet strict stability,safety,and comfort requirements.The dynamic behaviors of the designed plates are modeled by using thefinite element(FE)method.As is known,the output force vs.contraction curve of PAM is nonlinear generally.In this presentfinite element model,the maximum forces provided by PAM in different air pressure are adopted as controlling forces for applying for the plate.The non-linearity between the output force and displacement of PAM is avoided in this study.The dynamic behaviors of plates with several independent groups of controlling forces are observed and studied.The results show that the natural frequencies of the plate can be varying and the max amplitude decreases significantly if the controlling forces are applied.The present work also demonstrates the potential of the PAM actuators as valid means for damping out the vibration offlexible systems.

含夹层流体的双板主、被动控制理论分析和试验研究

为了对含夹层流体的双板结构的振动进行控制,基于改进的傅里叶级数法对此双板结构进行理论建模,采取等效方法考虑涂敷阻尼层的影响,并运用有限元方法验证理论模型的正确性。同时介绍FxLMS算法并将其运用于双板的主动控制中,以前述理论方法为基础,得到各通道的传递函数,并基于MATLAB进行算法仿真,取得较好控制效果,可为算法的控制效果验证提供参考。对双板的振动进行控制试验,对比控制前后双板振动加速度级,发现敷设阻尼层较为明显减弱中高频振动,在135Hz频率点处主动控制单通道的控制效果良好,主、被动一体化控制前后下板的振动加速度总级(10~3000Hz)相比降低6.61dB,验证了控制措施的有效性。

含螺旋孔的超材料夹层板的带隙特性研究

本文提出一种新型低频宽带的穿孔超材料夹层板,旨在有效抑制板间横向振动。该结构的单胞由上下层面板、螺旋板、圆柱振子和支撑部件等构成。其中,螺旋板上设计4个螺纹孔,圆柱振子通过螺栓固定于板中心,螺旋板通过两侧横板与支撑部分连接。采用COMSOL仿真软件对胞元进行有限元分析,获得了无限周期结构的能带和共振模态,并计算了有限周期结构的传输透射率。结果表明,该结构能够产生两个宽幅的低频振动带隙,带隙范围内的振动衰减明显。本文进一步揭示了带隙机理,优化了结构参数,实现了两带隙的低频耦合,给出了符合工程实际需求的带隙。

约束阻尼板的有限元动力分析

基于虚功原理 ,提出了一种新的建立约束阻尼板结构动力学模型的方法。该方法将坐标系建立在板的中性面 ,采用层合理论推导出约束阻尼板结构的动力方程 ,并结合 GHM(Golla-Hughes-Mc Iavish)方法引入辅助的耗散坐标 ,来描述粘弹性材料随频率变化的特性。通过算例同实验结果和 ANSYS计算值作比较验证了其有效性。结果表明 ,本方法分析约束阻尼结构具有良好的计算精度。

具有主动约束层阻尼板的振动杂交控制

本文研究了局部附加主动约束阻尼层（ＬＡＣＬ）板的主、被动杂交控制问题·基于弹性、粘弹性、压电材料的本构关系，建立了系统的控制方程·利用Ｇａｌｅｒｋｉｎ方法和ＧＨＭ方法将偏微分方程转换为维数不高的常微分方程组，应用ＬＱＲ方法进行了数值模拟·计算结果表明，这种主动和被动结合的杂交控制方式具有良好的控制效果·

三轴稳定挠性卫星姿态机动时变滑模变结构和主动振动控制

针对带有控制受限的挠性卫星的姿态机动和振动控制问题,给出了一类仅利用输出信息的变结构控制和基于智能材料的主动振动控制技术相结合的复合控制方法.首先给出变结构姿态控制器的设计来完成卫星姿态机动,并给出一种切换机制以实现挠性卫星快速姿态机动;其次,采用分布式压电元件作为作动器,设计了应变速率反馈补偿器以增加挠性结构的阻尼,使其振动能够很快衰减.最后,将本文提出的方法应用于三轴稳定挠性卫星的姿态机动控制,仿真结果表明:在推力器的控制受限条件下,完成姿态机动的同时,有效地抑制挠性附件的振动.

具有初挠度夹层圆板非线性振动与解的稳定性

基于均布载荷作用下夹层圆板大幅度振动的基本方程和四种边界条件,利用空间模态假设和变分法,将初挠度设成空间函数的形式,动挠度设为时间和空间函数的分离形式,并将其代入各非线性振动方程,得出应力和转角用设定的挠度函数表示的形式,再将假定模态函数代入本问题的非线性振动方程,利用伽辽金法推导出时间模态的控制方程,并在相平面上讨论了解的稳定性。

智能夹层风力机叶片振动主动控制研究

总结了国内外压电材料应用于弹性体的情况;对智能夹层风力机叶片进行建模,将压电材料丝埋入风力机叶片的基体中,用有限元分析软件Algor分析埋入的压电材料逆压电效应下的应力、位移,实现叶片振动主动控制,以防止叶片这一弹性体发生颤振。为实现叶片智能振动控制打下基础。

基于等几何方法的压电功能梯度板动力学及主动振动控制分析

针对表面粘贴有压电层的功能梯度板的动力学及主动振动控制问题,建立了一种基于三阶剪切变形理论的等几何分析求解方法。其中,功能梯度板的材料属性为板厚方向的幂函数分布,并假设电势沿着压电层的厚度方向呈线性变化。利用线性压电本构方程以及哈密顿变分原理,推导了压电功能梯度板的相关等几何分析有限元方程。通过分析压电智能结构的静态弯曲行为验证了该方法的有效性与精确性。运用模态叠加技术与Newmark-β直接积分法分析了两种不同结构的压电功能梯度板的动力学响应与主动振动控制问题。在主动振动控制分析中,引入了物理中面的概念避免当传感器与驱动器分别粘贴于功能梯度的上、下表面时,由拉伸-耦合效应引起的控制不稳定的问题,并着重分析了振动控制过程中两种结构传感器层和驱动器层的电压响应。

基于IIR结构的自适应滤波振动主动控制方法

当前自适应滤波前馈控制方法中具有代表性的是滤波-X最小均方(filtered-X least mean square,简称FXLMS)算法,它通常假定干扰源可测且作为前馈控制器的参考输入,但实际振动控制过程中需要考虑控制输出反馈信号对参考信号的影响,因此滤波-X算法面向实际应用具有较大的局限性。针对这一问题,以机敏压电太阳能帆板结构为模拟试验对象,提出一种基于IIR(infinite impulse response,简称IIR)结构的滤波-U最小均方(filtered-U least mean square,简称FULMS)自适应滤波控制方法,着重分析了控制器结构设计、FULMS算法推理过程、试验模型结构设计、试验平台的构建及其试验验证等环节。经过与FXLMS算法对比仿真试验,笔者所设计的控制算法控制效果良好。将其进行试验验证分析,结果表明,所采用的控制器设计方法与控制算法收敛速度快,控制效果好,为自适应振动控制方法向实际工程应用提供了较好的研究基础。

主动约束层阻尼板结构动力学建模研究

将有限元法和GHM法相结合 ,给出了建立主动约束层阻尼 (ACLD)板结构动力学模型的新方法。建模时 ,考虑到粘弹材料 (VEM )的纵向位移影响 ,采用GHM方法描述VEM的本构关系 ,解决了VEM的力学特性随温度和频率变化的难点 ,避免因VEM的复杂本构关系而产生的微分积分方程。算例表明本文给出的建模方法是准确的 ,A CLD结构能够有效控制结构振动。