混合压电分流电路作用下声子晶体杆振动带隙结构分析

对于电阻电感(RL)及负阻抗变换器(NIC)混合压电分流电路分别采用紧密及间隔排列方式进行带隙结构计算,并且针对分流电路中电阻、电感及电容对于局域共振带隙的影响进行研究。采用传递矩阵法建立了压电分流电路作用下声子晶体杆带隙分析的理论模型,并运用MATLAB语言对带隙结构进行编程仿真计算。通过电阻、电感、电容参数的匹配及电路不同排列方式的对比,最终得到了在混合间隔压电分流电路作用下宽度为13 kHz的带隙,并对振动控制系统稳定性进行了分析。研究结果表明:采用混合压电分流电路会对杆件带隙结果产生影响,且采用压电片间隔排列的方式会使带隙宽度明显扩大。     

LCR分流电路下压电声子晶体智能材料的带隙

将带有LCR分流电路的压电陶瓷片对贴在铝和环氧树脂组成的声子晶体结构中.使智能材料的机械振动与压电陶瓷的压电效应耦合起来,推导出机械振动在压电陶瓷片上的等效附加应力;使LCR分流电路中的电磁振荡效应和声子晶体的能带特性有机结合,计算了在分流电路作用下智能材料扭转和弯曲振动的带隙特性,研究了电阻、电感、电容元件的改变对压电声子晶体智能材料带隙的影响.研究结果表明:在合理尺寸下,随着分流电路中电阻值的增大,带隙的频率范围变宽,但衰减幅值有所降低;电感和电容值的增大都可以使带隙向低频移动,带隙的衰减幅值随着电感值的增大而升高,但随着电容值的增大而降低.从而给压电声子晶体智能材料减震降噪的控制提供了一种新思路.     

不同压电分流电路对声子晶体梁带隙的影响

通过在匀质基体梁上周期性对贴连有分流电路的压电片,可以形成一维声子晶体结构.不同分流电路将决定梁的带隙特性.电阻分流电路能够对梁的模态共振有一定的抑制作用,而且可以通过改变压电效应的强弱使Bragg带隙结构发生变化.LC分流电路会使梁产生局域共振带隙,其带隙是由压电片激励LC电路产生电磁振荡形成.引入电阻后会使LC电路的共振作用变弱,使得带隙衰减幅值变小,但可以扩宽带隙频率范围.     

具有压电分流电路薄板的吸声特性Ⅰ.理论分析

首次从理论上分析了粘有压电陶瓷片薄板的低频吸声特性和吸声机理.根据压电陶瓷薄片外接分流电路时的等效柔顺性系数,应用拉格朗日方程建立了粘有压电陶瓷片薄板的运动方程.该方程中包含了薄板和压电片的质量、弹性、阻尼以及压电片分流电路的电阻和电感.给出了粘有压电片薄板的表面阻抗和吸声系数的数值计算方法,数值计算表明调节分流电路参数可明显改善薄板一阶模态处的吸声特性.     

具有压电分流电路薄板的吸声特性Ⅱ.数值和实验分析

利用数值计算和实验方法研究了压电分流阻尼技术控制薄板吸声特性的机制,分析了串联电阻和电感与薄板吸声系数、相对声阻和相对声抗之间的关系.数值计算和实验结果表明:通过调节分流电路中电感和电阻等参数,可使电路谐振和机械谐振出现强耦合,进而明显提高薄板一阶模态处的吸声系数和吸声带宽.     

外接LC电路的可调压电换能器的频率特性

压电换能器往往因受到温度与负载的影响,导致其谐振频率、反谐振频率和机械品质因数等特征参数发生变化。通过在压电换能器中设计用于调节的压电陶瓷片,并在调节压电陶瓷片两端外接电负载,可以实现压电换能器的频率调节,修正由于温度和负载导致的频率漂移。基于压电换能器的Mason等效电路,建立外接LC调节电路的压电换能器的谐振频率、反谐振频率模型,分析LC调节电路中调节电感对频率调节特性的影响;通过实验研究外接LC调节电路对可调压电换能器机械品质因数的影响,并验证调节电感对频率调节特性的影响。理论分析和实验研究的结果表明:随着调节电感的增大,调节电容对频率的调节灵敏度提高,可调压电换能器的频率调节宽度拓宽,但也会使压电换能器的机械品质因数降低。合理选择调节电感和调节电容能兼顾频率调节宽度和机械品质因数的要求。此研究可为后续自适应压电换能器的频率调节系统设计提供指导。      

氢修饰石墨烯纳米带压电性质的第一性原理研究

采用第一性原理计算方法, 系统研究了不同宽度、不同边缘修饰模式的间隔氢吸附锯齿型石墨烯纳米带的压电性质. 结构优化和结合能计算表明, 氢修饰石墨烯纳米带结构稳定. 氢原子间隔排列的吸附使得纳米带中的相邻碳原子成键及电荷状态不同, 导致拉伸时纳米带中六元碳环的正负电荷中心不再重合, 产生宏观电极化. 纳米带宽度越宽, 包含六元碳环数目越多, 则拉伸时纳米带长度方向上电偶极矩密度越大, 其压电性能越强. 另外, 边缘原子电荷状态决定了无拉伸时纳米带的初始电偶极矩密度, 其大小可以通过改变边缘氢原子的修饰模式来有效调控. 关键词： 石墨烯纳米带 第一性原理 修饰改性 压电性质     

散射体排列方式对二维磁振子晶体带隙结构的影响

本文采用平面波展开法数值计算了由铁圆柱分别按正方排列、三角排列以及六角排列在氧化铕基底材料中构成的二维磁振子晶体带结构,讨论了散射体的不同排列方式对磁振子晶体带隙结构的影响.计算结果表明,三角排列散射体的磁振子晶体能够获得最大的自旋波带隙结构. 关键词： 磁振子晶体 带隙 排列方式     

缺陷态对4340钢-环氧树脂二维声子晶体带隙的影响

采用平面波展开法及平面波超元胞法研究缺陷态对4340钢-环氧树脂二维声子晶体带隙的影响. 以环氧树脂作为基底,把正方形结构排列的4340钢均匀的插入基底中,计算完整晶体、45°线缺陷态晶体、90°线缺陷态晶体、135°线缺陷态晶体、180°线缺陷态晶体的带隙. 结果表明,缺陷态的带隙宽度与完整晶体的带隙宽度相比最大可增大约31倍;对于不同的缺陷结构在F=0.1-0.9的范围内均有带隙出现且随着缺陷态角度的增大. 同时讨论带隙数目N,最低带隙相对宽度Δω/ω_g与填充率F之间的关系. 关键词： 缺陷态 带隙宽度 带隙数目     

RLC串联电路充电过程探究

本论文借助于MATLAB软件对RLC串联电路进行了动态分析并分别探究了电阻、电容、电感这三个因子对RLC串联电路充电的影响情况。利用Simulink中的Simpowersystems对RLC串联电路的充电过程进行仿真,探究电阻、电容、电感这三个因子对RLC串联电路充电过程的影响。     

Band gap structure analysis of phononic crystal rods with hybrid shunted piezoelectric patches

The band gap structures by arranging hybrid shunted piezoelectric materialswith resistance inductive(RL) circuit and negative impedance converter(NIC) closely and at intervals are presented.The theoretical model is built using transfer matrix method.Then the MATLAB computing language is utilized to simulate the band gap structures.Meanwhile,the effects of the resistance,inductance and capacitance on the local resonant gap are studied.By comparing different combinations of resistance,inductance and capacitance as well as different arrangement of circuits,a 13 kHz band gap is reached under the effect of arranging hybrid periodic shunted piezoelectric patches at intervals and the stability of the system is also analyzed.It is proved that utilizing hybrid shunted piezoelectric patches would have a clear impact on the band gap structure of phononic crystal rods.Moreover,the band gap would be clearly enlarged by arranging hybrid piezoelectric patches at intervals.     

Band gap control of phononic beam with negative capacitance piezoelectric shunt

Periodic arrays of negative capacitance shunted piezoelectric patches are employed to control the band gaps of phononic beams. The location and the extent of induced band gap depend on the mismatch in impedance generated by each patch. The total impedance mismatch is determined by the added mass and stiffness of each patch as well as the shunting electrical impedance. Therefore, the band gap of the shunted phononic beam can be actively tuned by appropriately selecting the value of negative capacitance. The control of the band gap of phononic beam with negative capacitive shunt is demonstrated numerically by employing transfer matrix method. The result reveals that using negative capacitive shunt to tune the band gap is effective.     

Singular variation property of elastic constants of piezoelectric ceramics shunted to negative capacitance

Piezoelectric shunt damping has been widely used in vibration suppression, sound absorption, noise elimination, etc.In such applications, the variant elastic constants of piezoelectric materials are the essential parameters that determine the performances of the systems, when piezoelectric materials are shunted to normal electrical elements, i.e., resistance,inductance and capacitance, as well as their combinations. In recent years, many researches have demonstrated that the wideband sound absorption or vibration suppression can be realized with piezoelectric materials shunted to negative capacitance. However, most systems using the negative-capacitance shunt circuits show their instabilities in the optimal condition, which are essentially caused by the singular variation properties of elastic constants of piezoelectric materials when shunted to negative capacitance. This paper aims at investigating the effects of negative-capacitance shunt circuits on elastic constants of a piezoelectric ceramic plate through theoretical analyses and experiments, which gives an rational explanation for why negative capacitance shunt circuit is prone to make structure instable. First, the relationships between the elastic constants c_(11), c_(33), c_(55) of the piezoelectric ceramic and the shunt negative capacitance are derived with the piezoelectric constitutive law theoretically. Then, an experimental setup is established to verify the theoretical results through observing the change of elastic constant c_(55) of the shunted piezoelectric plate with the variation of negative capacitance.The experimental results are in good agreement with the theoretical analyses, which reveals that the instability of the shunt damping system is essentially caused by the singular variation property of the elastic constants of piezoelectric material shunted to negative capacitance.     

Modeling and analysis of laminate composite plates with embedded active-passive piezoelectric networks

The objective of this work is to present the finite element modeling of laminate composite plates with embedded piezoelectric patches or layers that are then connected to active-passive resonant shunt circuits, composed of resistance, inductance and voltage source. Applications to passive vibration control and active control authority enhancement are also presented and discussed. The finite element model is based on an equivalent single layer theory combined with a third-order shear deformation theory. A stress-voltage electromechanical model is considered for the piezoelectric materials fully coupled to the electrical circuits. To this end, the electrical circuit equations are also included in the variational formulation. Hence, conservation of charge and full electromechanical coupling are guaranteed. The formulation results in a coupled finite element model with mechanical (displacements) and electrical (charges at electrodes) degrees of freedom. For a Graphite-Epoxy (Carbon-Fibre Reinforced) laminate composite plate, a parametric analysis is performed to evaluate optimal locations along the plate plane (xy) and thickness (z) that maximize the effective modal electromechanical coupling coefficient. Then, the passive vibration control performance is evaluated for a network of optimally located shunted piezoelectric patches embedded in the plate, through the design of resistance and inductance values of each circuit, to reduce the vibration amplitude of the first four vibration modes. A vibration amplitude reduction of at least 10 dB for all vibration modes was observed. Then, an analysis of the control authority enhancement due to the resonant shunt circuit, when the piezoelectric patches are used as actuators, is performed. It is shown that the control authority can indeed be improved near a selected resonance even with multiple pairs of piezoelectric patches and active-passive circuits acting simultaneously.     

Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

Periodic arrays of resonant shunted piezoelectric patches are employed to control the wave propagation in a two-dimensional (2D) acoustic metamaterial. The performance is characterized by the finite element method. More importantly, we propose an approach to solving the conventional issue of the nonlinear eigenvalue problem, and give a convenient solution to the dispersion properties of 2D metamaterials with periodic arrays of resonant shunts in this article. Based on this modeling method, the dispersion relations of a 2D metamaterial with periodic arrays of resonant shunted piezos are calculated. The results show that the internal resonances of the shunting system split the dispersion curves, thereby forming a locally resonant band gap. However, unlike the conventional locally resonant gap, the vibrations in this locally resonant gap are unable to be completely localized in oscillators consisting of shunting inductors and piezo-patches.     

Placement and dimension optimization of shunted piezoelectric patches for vibration reduction

Passive structural vibration reduction by means of shunted piezoelectric patches is addressed in this paper. We present a strategy to optimize, in terms of damping efficiency, the geometry of piezoelectric patches as well as their placement on the host elastic structure. This procedure is based on the maximization of the modal electro-mechanical coupling factor (MEMCF) of the mechanical vibration mode to which the shunt is tuned. To illustrate the method, a general analytical model of a laminated beam is proposed. Two particular configurations are investigated: (i) a beam with two collocated piezoelectric patches connected in series or in parallel to the shunt and (ii) a cantilever beam with one patch. After a modal expansion, original closed-form solutions of the MEMCF are exhibited, which enables to compute optimal values for the placement, length and thickness of the piezoelectric patches that maximize the MEMCF. A dimensionless model is used so that this study can be used to design any smart beam, whatever be its dimensions. More general results about the coupling mechanisms between the piezoelectric patches and the host structure are also raised. In particular, it is found that the patches thickness is an essential parameter and that several configurations are possible, depending on the considered vibration mode. Experiments are also proposed to validate the model.     

多间隙气体开关的电场分布特性

为了寻求可用于快前沿直线型变压器驱动源最理想的多间隙气体开关结构,利用有限元分析软件模拟计算了几种不同电极结构气体开关内各间隙在开关触发前后的电场分布,并利用新型开关电路模型研究了气体开关触发导通前均压措施对开关内部各间隙电场分布均匀性的影响,以及触发后各中间电极对主电极杂散电容与气体开关内电场分布规律之间的关系。结果表明:圆形环状结构电极有利于形成稳定的多通道放电,降低开关的电感及抖动;在开关各个间隙之间并联相同阻值的电阻可以有效地改善开关直流耐压特性;在开关触发导通时,各间隙的电压分布主要与触发电压的上升时间、各个电阻及杂散电容值有关;触发电压的上升时间越短,杂散电容值对间隙电压分布的影响越明显。     

Periodic shunted arrays for the control of noise radiation in an enclosure

This work presents numerical and experimental investigations of the application of a periodic array of resistive-inductive (RL) shunted piezoelectric patches for the attenuation of broadband noise radiated by a flexible plate in an enclosed cavity. A 4×4 lay-out of piezoelectric patches is bonded to the surface of a rectangular plate fully clamped to the top face of a rectangular cavity. Each piezo-patch is shunted through a single RL circuit, and all shunting circuits are tuned at the same frequency. The response of the resulting periodic structure is characterized by frequency bandgaps where vibrations and associated noise are strongly attenuated. The location and extent of induced bandgaps are predicted by the application of Bloch theorem on a unit cell of the periodic assembly, and they are controlled by proper selection of the shunting circuit impedance. A coupled piezo-structural-acoustic finite element model is developed to evaluate the noise reduction performance. Strong attenuation of multiple panel-controlled modes is observed over broad frequency bands. The proposed concept is tested on an aluminum plate mounted in a wooden box and driven by a shaker. Experimental results are presented in terms of pressure responses recorded using a grid of microphones placed inside the acoustic box.     

Phononic crystals containing piezoelectric material

The elastic band structure of a two-dimensional phononic crystal containing piezoelectric material is investigated by the plane-wave-expansion method. Numerical results show that for large filling fraction, the full band gap of this kind of system is enlarged by considering the piezoelectric effect, but for small filling fraction, the influence of the piezoelectric effect is so small that it can be neglected.