Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation

The tuning of a dynamic vibration absorber is considered such that either the kinetic energy of the host structure is minimised or the power dissipation within the absorber is maximised. If the host structure is approximated as a damped single degree of freedom, the optimal values for the ratio of the absorber's natural frequency to the host structure and the optimal damping ratio of the absorber are shown to be the same whether the kinetic energy of the host structure is minimised or the power dissipation of the absorber is maximised. It is also demonstrated that the total power input into the system does not depend on the two parameters but only on the host structure's mass.     

Two-degree-of-freedom rotational-pendulum vibration absorbers

This paper presents experimental as well as analytic results on a rotational-pendulum vibration absorber. The characteristic frequencies of the absorber can be tuned dynamically by adjusting the rotational speed. The device is coupled to the primary structure through a mechanical spring, thus possessing two natural modes of vibrations in the vertical plane. When the primary structure is excited by a harmonic disturbance of which the frequency matches one of the two natural frequencies, the oscillations will be minimized. Whether the pendulum absorber is operating in a resonant mode can be detected by measuring the phase difference between the motions of the primary structure and the absorber, which provides an efficient way to tune the rotational speed for optimal performance. Experimental results confirm the theoretical developments and also demonstrate the effectiveness of the proposed scheme.     

An efficient approach to optimize the vibration mode of bar-type ultrasonic motors

The electromechanical coupled dynamic model of the stator of the bar-type ultrasonic motor is derived based on the finite element method. The dynamical behavior of the stator is analyzed via this model and the theoretical result agrees with the experimental result of the stator of the prototype motor very well. Both the structural design principles and the approaches to meet the requirements for the mode of the stator are discussed. Based on the pattern search algorithm, an optimal model to meet the design requirements is established. The numerical simulation results show that this optimal model is effective for the structural design of the stator.     

Dynamic vibration absorbers for vibration control within a frequency band

The use of dynamic vibration absorbers to control the vibration of a structure in both narrow and broadbands is discussed in this paper. As a benchmark problem, a plate incorporating multiple vibration absorbers is formulated, leading to an analytical solution when the number of absorbers yields one. Using this analytical solution, control mechanisms of the vibration absorber in different frequency bandwidths are studied; the coupling properties due to the introduction of the absorber into the host structure are analyzed; and the control performance of the absorber in different control bandwidths is examined with respect to its damping and location. It is found that the interaction between the plate and the absorber by means of the reaction force from the absorber plays a dominant role in a narrow band control, while in a relatively broadband control the dissipation by the absorber damping governs the control performance. When control bandwidth further enlarges, the optimal locations of the absorbers are not only affected by the targeted mode, but also by the other plate modes. These locations need to be determined after establishing a trade-off between the targeted mode and other modes involved in the coupling. Finally, numerical findings are assessed based on a simply-supported plate and a fair agreement between the predicted and measured results is obtained.     

Active vibration control in Duffing mechanical systems using dynamic vibration absorbers

This paper deals with the multi-frequency harmonic vibration suppression problem in forced Duffing mechanical systems using passive and active linear mass–spring–damper dynamic vibration absorbers. An active vibration absorption scheme is proposed to extend the vibrating energy dissipation capability of a passive dynamic vibration absorber for multiple excitation frequencies and, simultaneously, to perform reference position trajectory tracking tasks planned for the nonlinear primary system. A differential flatness-based disturbance estimation scheme is also described to estimate the unknown multiple time-varying frequency disturbance signal affecting the differentially flat nonlinear vibrating mechanical system dynamics. Some numerical simulation results are provided to show the efficient performance of the proposed active vibration absorption scheme and the fast estimation of the vibration disturbance signal.     

The general linear theory of dynamic vibration absorbers

It is shown that vibrations of an elastic platform, induced by an external force \(f\left( t \right) = \sum\limits_{j = 0}^n {{A_j}} \sin \left( {{\omega _j}t + {\varphi _j}} \right)\), can be suppressed using n dynamic vibration absorbers with eigenfrequencies ω _j .     

Robust non-fragile dynamic vibration absorbers with uncertain factors

In this paper, the design problem for non-fragile dynamic vibration absorbers (DVAs) is investigated. Due to the imprecision of the manufacturing process or the variation during the operation, uncertainty in the parameters of the DVA is unavoidable. The uncertainty may degrade the performance of the designed DVA or even deteriorate the system. Hence, it is practically demanding to propose a design method for a non-fragile DVA, i.e., when the parameters of the DVA vary in an admissible range, an expected vibration suppression level should be guaranteed. The uncertainty of the DVA is feasibly assumed to be norm-bounded. Then, the design problem for the DVA is converted into a static output feedback (SOF) control problem. Sufficient condition for the existence of the non-fragile DVA with a prescribed H_∞ level is derived by using a bilinear matrix inequality (BMI). An iterative linear matrix inequality (ILMI) method is employed to solve the BMI condition. Finally, a design example is given to show the effectiveness of the proposed approach.     

Application of dynamic vibration absorbers in structural vibration control under multi-frequency harmonic excitations

In this research, the response properties of a single-degree-of-freedom system under dual harmonic excitation are analyzed to provide some principles for the choice of time span and step in the simulations. The performances of dynamic vibration absorber (DVA) and state-switched absorber (SSA) are compared. The results indicate that dual DVAs almost have the same performance as the SSA. Moreover, dual DVAs compared with the SSA have some advantages such as lower ratio of tuning frequencies, more rapid optimization process and lower requirement for the anti-fatigue property of the material. Furthermore, the performances of different frequency-tuning methods are investigated. It is shown that the one-one method almost has the same performance as the optimization method and it does not need time-consuming optimization process.     

Application of dynamic vibration absorbers in floating raft system

To improve the isolation performance of the traditional floating raft system, dynamic vibration absorber (DVA) is introduced into floating raft in this research. The mathematical models of floating raft system consisting of beams are implemented by assembling the mobility matrices of the subsystems. Then the power flow transmission characteristics of the coupled system with/without the DVAs are investigated to evaluate the vibration reduction performance of DVAs. Numerical simulations are performed to explore the influence of several parameters, such as the setting positions, damping and mass of the passive DVAs, on the vibration reduction effects of DVAs. Moreover the vibration reduction performance of the semi-active absorber adjusting its stiffness adaptively is analyzed for the case of time-varying frequency excitation. In addition, the vibration reduction effects of semi-active DVAs under multi-frequency excitation are investigated. The results show that DVAs can significantly improve the isolation performance of floating raft system.     

Minimax design of vibration absorbers for linear damped systems

This paper addresses the issue of design of a passive vibration absorber in the presence of uncertainties in the forcing frequency. A minimax problem is formulated to determine the parameters of a vibration absorber which minimize the maximum motion of the primary mass over the domain of the forcing frequency. The limiting solutions corresponding to the forcing frequency being unrestricted and to that where the forcing frequency is known exactly, are shown to match those available in the literature. The transition of the optimal vibration absorber parameters between the extreme two cases is presented and the solutions are generalized by permitting the mass ratio of the absorber mass and the primary mass to be design parameters. For the specific case where the primary system is undamped, detailed analysis is presented to determine the transition of the optimal vibration absorber parameters between three distinct domains of solutions.     

Metamaterials and metasurfaces for designing metadevices:Perfect absorbers and microstrip patch antennas

In the past twenty years, electromagnetic metamaterials represented by left-handed metamaterials(LHMs) have attracted considerable attention due to the unique properties such as negative refraction, perfect lens, and electromagnetic cloaks. In this paper, we present a comprehensive review of our group's work on metamaterials and metasurfaces. We present several types of LHMs and chiral metamaterials. As a two-dimensional equivalent of bulk three-dimensional metamaterials, metasurfaces have led to a myriad of devices due to the advantages of lower profile, lower losses, and simpler to fabricate than bulk three-dimensional metamaterials. We demonstrate the novel microwave metadevices based on metamaterials and metasurfaces: perfect absorbers and microwave patch antennas, including novel transmission line antennas,high gain resonant cavity antennas, wide scanning phased array antennas, and circularly polarized antennas.     

一种设计环形汇聚光栅反射镜的新方法

提出了一种利用数学变换来快速设计环形汇聚光栅反射镜的方法.通过分析具体的物理场景,抽象出已有条形汇聚光栅的"线"汇聚特性与所要设计的"点"汇聚特性在数学上对应的变换关系,然后用该数学变换对条形汇聚光栅进行外形上的变换,外形变换后的条形光栅即为可以实现"点"汇聚的环形光栅.用有限元算法对设计的环形汇聚光栅进行仿真,仿真证明采用该方法设计的环形光栅可以很好地实现高反、高汇聚.采用这一方法,设计了直径为29.788μm的环形光栅反射镜,当垂直入射的径向偏振光从设计的环形光栅表面反射回来后将发生汇聚,汇聚焦点位于环形光栅表面10μm处.经计算,反射镜的数值孔径为0.8302,反射率为0.9163,在焦点所在的汇聚面上,汇聚光栅电场分布的半高宽为1.5548μm.     

微穿孔板的应用技术

自1975年马大猷教授发表了关于微穿孔板吸声构造的论文[^{1,2]以后,微穿孔板吸声构造在我国的应用已日趋扩大。近年来,在欧美,环境和卫生界人士提出矿物性纤维对人体健康有害的见解,虽然对这种见解尚未取得一致的意见,但因此却使人联想到几十年前因石棉对人体有害所引起的建筑物内大量翻修,以新的材料替换石棉的情景。吸声材料的生产厂家迫切要求能生产不含矿物纤维的宽频带吸声材料,而很多建设方也要求在新建筑物内不再使用矿物性纤维吸声材料。微穿孔板正是适应这一要求、不需外加阻尼材料的共振型吸声构造。新建的联邦德国议会全体会议大厅是周围为玻璃墙面的圆形建筑物,建成首次使用时,发生由于墙面声反射引起会场扩声系统不能正常工作的问题。为了解决这个声学问题而又不改变目前建筑形状和外观,我们设计并试制了透明的微穿孔板吸声构造。}     

Nearly perfect metamaterial plasmonic absorbers for solar energy applications

In this study, two different approaches for the design of broadband polarization-independent wide-angle metamaterial plasmonic absorbers (MPA) are presented. The proposed MPAs are made of periodic arrays of Nickel (Ni) or Wolfram (W) cubes. The top surfaces of the cubes are texturized using silicon dioxide (SiO₂). The proposed PMAs with two different optimized textures experience plasmonic resonance characteristics that enable near unity visible light absorption. The parametric studies carried on the proposed MPAs with the aid of 3D-FDTD method results in wide-angle near perfect absorption characteristic that is >?0.96 for all visible regimes. Additionally, the obtained results show almost perfect absorption of above 99% over the frequency ranges extending from?~?458 to?~?525 and?~?489 to?~?665 THz. Besides, numerical results demonstrate that the proposed PMAs also exhibit both polarization and angle independency for the whole visible regime. Further, the absorption characteristics of proposed MPAs near the infrared and ultraviolet regimes are investigated.     

Analysis of energy conversion in two-mode vibration control using synchronized switch damping approach

The synchronized switch damping (SSD) approaches based on piezoelectric actuators have been successfully used in multimode vibration control of structures. By suppressing voltage inversion at some displacement extrema, the control performance of SSD approaches can be significantly improved. In this study, conversion of energy from mechanical to electrical in two-mode control is analyzed for different amplitude ratios and frequency ratios. The results show that the converted energy in two-mode control with voltage inversion at every extremum is smaller than the sum of the energies of the two modes in single-mode control, but the converted energy of the second mode in two-mode control may exceed that in single-mode control when the amplitude ratio of the second mode to the first mode is small enough. The influence of voltage threshold used to suppress voltage inversion on energy conversion of the system and each individual mode is also investigated. The converted energy of the first mode in two-mode control may be much larger than that in single-mode control when voltage inversion is suppressed suitably. The analytical results can successfully explain the phenomenon in the previous control experiments and can also be extended to multimode control.     

On the energy loss of fast electrons in thin absorbers

The numerical constants in the Blunck-Leisegang theory for the energy-loss distribution of electrons passing through the matter have been reevaluated accurately. The obtained results give a more precise energy-loss distribution than the usual Blunck-Leisegang theory.     

一种二进制降能器设计方法

为提升在中国原子能科学研究院的100 MeV质子回旋加速器上进行多能点质子单粒子效应实验的效率,针对该加速器提供的100 MeV质子设计了一种二进制降能器.降能器包括6片铝降能片,厚度分别为0.5,1,2,4,8,16,32 mm,即后一片厚度均为前一片的2倍.提出相对厚度的概念,此概念也可用来表示产生的质子能点的次序以及降能器的状态或操作.降能器产生的9.69 MeV以上的61个质子能点间隔在0.84—4.09 MeV之间,且能量岐离均在10%以下,散射角半高宽均在45 mrad以下,基本可满足质子单粒子效应实验的要求.对加速器直接提供的质子的能量精度对降能器产生的质子能点的影响进行分析,发现经降能器产生的质子能量越低,其影响也就越大.此外,降能器对加速器直接能够提供的70—100 MeV能区的质子也是适用的,且可通过增加降能片数量的方式来获得更加连续化的质子能点.本文提出的降能器设计方法简单有效,具有较强的借鉴价值.     

阶梯反射锥型高能激光能量计温度场控制技术

高能激光会造成吸收体材料表面的温度急剧升高甚至损坏,同时造成吸收体上长期存在较大的温度梯度,这给温度的准确测量造成了很大的难度,为解决上述问题,提出了一种阶梯状镀金反射锥和V型槽结构的吸收体,通过对镀金锥的设计将能量分配到吸收体各部分上,研究了V型槽的几种设计方法对温度场和表面温度的影响,研究表明通过对吸收体各部分的质量和V型槽的参数控制可以大幅降低吸收体各部分的温度梯度、吸收体表面温度和吸收体的平衡时间,从而提高高能激光能量计的激光损伤阈值,并降低温度准确测量难度和减少热损失,最终达到提高准确度的目的。