Nonlinear modal electromechanical coupling factor for piezoelectric structures containing nonlinearities

Within the linear framework, the Modal Electromechanical Coupling Factor (MEMCF) is an important indicator to quantify the dynamic conversion of mechanical energy and electrical energy of piezoelectric structures. It is also an important tool to guide the piezoelectric damping design of linear structures. Advanced aircraft often fly in maneuvers, and the variable working conditions induce drastic changes in the load level on structures. Geometric and contact nonlinearities of thin-walled structures and joint structures are often activated. To achieve a good vibration reduction effect covering all working conditions, one cannot directly use linear electromechanical coupling theory to instruct the piezoelectric damping design for nonlinear structures. Therefore, this paper defines the Nonlinear Modal Electromechanical Coupling Factor (NMEMCF) and proposes the corresponding numerical method for the first time to quantitatively evaluate the electromechanical coupling capability of nonlinear piezoelectric structures. Three candidate definitions of the NMEMCF are given, including two frequency definitions and one energy definition. The energy definition is the most promising one. It is not only applicable to both conservative and dissipative nonlinear structures but also compatible with the linear MEMCF. In addition, based on the energy formula, the NMEMCF can be obtained by only performing one nonlinear modal analysis in the open-circuit state. The analytical findings and the numerical tool are validated against two piezoelectric structures with different types of nonlinearities. A strong correlation among the NMEMCF, geometric parameters, and energy dissipation is observed. The results confirm that the proposed NMEMCF captures the physics of the electromechanical coupling phenomenon associated with nonlinear piezoelectric structures and can be used as an essential design indicator of piezoelectric damping, especially for variable working conditions.     

双周期分布式压电分支阻尼对失谐叶盘振动抑制作用分析

将压电分支电路引入失谐叶盘结构，形成机电耦合系统，给出了机电耦合系统动力学方程的推导过程，并从理论上研究了压电分支阻尼对失谐叶盘结构响应放大的抑制效果.通过构造双周期分布式压电分支电路，研究了双周期分布式压电分支阻尼对失谐叶盘结构的振动抑制效果，并与单周期压电分支电路进行了对比，对比结果显示压电分支阻尼（包括单周期压电分支阻尼以及双周期分布式压电分支阻尼）均能有效降低随机失谐叶盘结构的响应放大，其中双周期机电耦合系统响应放大因子统计分析结果小于1的概率在99.7%以上，基本消除了失谐叶盘结构的响应放大现象.通过合理地设计系统的双周期模式，能够获得比单周期更好的失谐响应放大抑制效果.此外，压电分支阻尼使得随机失谐叶盘结构的失谐“阈值”现象消失，提高了叶盘结构的失谐鲁棒性.      

Mechanism of interconnected synchronized switch damping for vibration control of blades

The Synchronized Switch Damping (SSD) is regarded as a promising alternative to mitigate the vibration of thin-walled structures in aero-engines, especially for blades or bladed disks. The common manner is to shunt the switch circuit independently to a single piezoelectric structure. This paper is aimed at exploring a novel way of using the SSD, i.e., the SSD is interconnected between two piezoelectric structures or substructures. The damping mechanism, performance, and effective range of the interconnected SSD are studied numerically and experimentally. First, based on a dual cantilever beam finite element model, the time domain and frequency domain modeling and solving methods of the interconnected SSD are deduced and validated. Then, the influence of the amplitude and phase relationship on the damping effect of the interconnected SSD is numerically studied and compared with the shunted SSD. A self-sensing SSD control board is developed, and experimental studies are carried out. The results show that the interconnected SSD establishes an additional energy channel between the corresponding piezoelectric structures. When the amplitudes of the two cantilever beams are different, the interconnected SSD balances the vibration level of each beam. When the amplitudes of the two cantilever beams are the same, if the appropriate interconnection manner is selected according to the phase, the resonance peak can be reduced by more than 30%. When the vibration is in-phase/out-of-phase, the damping generated by the interconnected SSD in a cross/parallel manner is even more significant than the shunted SSD. Furthermore, this novel connection scheme reduces the number of SSD circuits in half. Finally, for engineering applications, we implement the proposed damping technology to the finite element model of a typical dummy bladed disk. A piezoelectric damping ratio of 13.7% is achieved when the amount of piezo material is only 10% of blade mass. Compared with traditional friction dampers, the major advancements of the interconnected SSD are: (A) it can reduce the vibration level of blades without friction interface; (B) the space constraint is overcome, i.e., the vibration energy is not necessarily dissipated independently in one sector or through physically adjacent blades, and instead, the dissipation and transfer of vibrational energy can be realized between any blade pair. If a specific gating circuit is adopted to adjust the interconnection manner of the SSD, vibration mitigation under variable working conditions with different engine orders will be expected; (C) designers do not need to worry about the annoying nonlinearities related to working conditions anymore.     

柔性接头迟滞阻尼特性识别

为实现对柔性接头系统的建模和动力学分析,对柔性接头的迟滞阻尼特性识别方法进行了研究.测试了一系列不同摆角和不同频率条件下柔性接头的动态特性参数,基于变刚度变阻尼法对不同频率下的刚度系数和阻尼系数进行了参数识别,获得了刚度系数和阻尼系数跟摆动频率之间的关系,建立了柔性接头动力学模型.应用该模型分析计算了柔性接头低速频率特性,并与试验结果进行了对比分析.结果表明:建立的模型可以很好地描述柔性接头的低频特性,随摆动频率的增加,恢复力矩略有增加；在振幅较小时,弹性力矩随摆角呈线性,随着摆动振幅的增加,弹性力矩的非线性逐渐增强.      

太极二号卫星精密热控关键技术及试验验证

针对引力波探测太极二号卫星提出的高稳定度温控需求，开展了高分辨率测温系统和高稳定度热控技术的研究，提出了多级阻尼的热控设计方法，建立了多级阻尼状态空间数学模型，揭示了系统中热量传递特性。该方法在太极二号核心载荷上进行了地面试验验证，试验结果表明核心舱关键仪器的温度满足指标要求。试验结果的噪声分析，不仅验证了精密热控关键技术，而且提出了关于热噪声分析与抑制的新方法，为后续航天器精密热控技术提供了理论分析方法和工程参考依据。     

Guided wave propagation analysis in stiffened panel using time-domain spectral finite element method

Stiffened panels have been widely utilized in fuselages and wings as critical load-bearing components. These structures are prone to be damaged under long-term and extreme loads, and their health monitoring has been a common concern. The guided wave-based monitoring method is regarded as an efficient approach to detect the damage in stiffened plates because of its wide monitoring range and high sensitivity to micro-damage. Efficient simulation of wave propagation can theoretically demonstrate the detection mechanism of the method. In this study, a Time-Domain Spectral Finite Element Method (TD-SFEM) is adopted to study the wavefield in stiffened plates, where continuous Absorbing Layers with Increasing Damping (ALID) strategy is proposed to circumvent the disturbance of reflected waves on boundaries. After the convergence analysis, the developed TD-SFEM with ALID is validated by the finite element method first. Then, wave scattering and the influence of the stiffener are investigated in detail by comparing the results with the non-stiffened structure. Finally, the effects of the parameters of the stiffener, such as the height and width, on wave propagation are studied, respectively. The results illustrate that the proposed TD-SFEM with ALID is an efficient approach to study the wave propagation in the stiffened plate and can reveal the mechanism of influence of the stiffener. It is found that the height of the stiffener changes the interference of wavefield in the plate, while the effects of the width are mainly in wave scattering and mode conversion.     

基于有限元--离散元耦合的粒子阻尼减振研究

在侧挂构型发射任务中，中心承力筒与卫星直接连接，其动力学特性对卫星的振动响应有直接影响。首先分析中心承力筒的模态特性，据此完成粒子阻尼器的结构参数设计。随后，使用有限元--离散元耦合仿真方法，确定了阻尼器填充粒子的最佳直径和阻尼器最佳安装位置。仿真结果表明，该方案下星箭界面减振效果可达40%。最后，使用最优粒子阻尼参数开展水平激励实验。实验结果表明，与未安装粒子阻尼器相比，中心承力筒+粒子阻尼器组合体的减振效果可达35%以上，与仿真结果一致。     

应力松弛试验中初始坡度对非粘滞阻尼模型参数的影响

文章将非粘滞阻尼模型的松弛函数分为2种形式进行研究讨论:一种是幂指数函数的形式,另一种是指数函数的形式。以应力松弛试验为例,从理论和试验2个角度考虑初始坡度,都可以看出初始坡度对应力变化的影响,从而克服了忽略这一问题带来的误差。     

压电网络对叶盘结构气动阻尼的影响

首先通过引入气动影响系数,建立了振动相关气动力与系统振动位移成比例的线性模型。基于此导出了叶盘结构气弹耦合的线性振动方程。接着在叶盘结构中引入压电网络,建立了流 机 电耦合动力学方程；并采用集总参数等效模型研究了压电网络对叶盘结构气动阻尼的影响,对流 机 电耦合系统的特征值问题进行求解,获得了可作为系统气弹稳定性判据的模态气动阻尼比。研究表明,压电网络可以有效改善叶盘结构主要振动形式——节径型振动的气弹稳定性；通过对压电网络中电学参数进行优化设计,可以在较宽范围内提高叶盘结构的颤振边界；压电网络对弯曲振动模态气动阻尼的改善效果优于弯扭耦合振动模态。      

QD128燃气轮机动力涡轮防振设计

分析了可能引起QD12 8燃气轮机动力涡轮振动超限的各种因素 ,着重阐述了设计中采用的各项相应的防振措施 ,简要介绍了整机试车时动力涡轮的振动情况