Snap-through behaviors and nonlinear vibrations of a bistable composite laminated cantilever shell:an experimental and numerical study

The snap-through behaviors and nonlinear vibrations are investigated for a bistable composite laminated cantilever shell subjected to transversal foundation excitation based on experimental and theoretical approaches.An improved experimental specimen is designed in order to satisfy the cantilever support boundary condition,which is composed of an asymmetric region and a symmetric region.The symmetric region of the experimental specimen is entirely clamped,which is rigidly connected to an electromagnetic shaker,while the asymmetric region remains free of constraint.Different motion paths are realized for the bistable cantilever shell by changing the input signal levels of the electromagnetic shaker,and the displacement responses of the shell are collected by the laser displacement sensors.The numerical simulation is conducted based on the established theoretical model of the bistable composite laminated cantilever shell,and an off-axis three-dimensional dynamic snap-through domain is obtained.The numerical solutions are in good agreement with the experimental results.The nonlinear stiffness characteristics,dynamic snap-through domain,and chaos and bifurcation behaviors of the shell are quantitatively analyzed.Due to the asymmetry of the boundary condition and the shell,the upper stable-state of the shell exhibits an obvious soft spring stiffness characteristic,and the lower stable-state shows a linear stiffness characteristic of the shell.

Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback

In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally chaotic system as well as a spatiotemporally chaotic system. It can be extended to synchronize the spatiotemporal chaos. It can work in a wide range of the controlled and synchronized signals, so it can decrease the sensitivity down to a noise level. The synchronization can be obtained by the analysis of the largest conditional Lyapunov exponent spectrum, and easily implemented in practical systems just by adjusting the coupled strength without any pre-knowledge of the dynamic system required.

Generative optimization of bistable plates with deep learning

Bistate plates have found extensive applications in the domains of smart structures and energy harvesting devices.Most bistable curved plates are characterized by a constant thickness profile.Regrettably,due to the inherent complexity of this problem,relatively little attention has been devoted to this area.In this study,we demonstrate how deep learning can facilitate the discovery of novel plate profiles that cater to multiple objectives,including maximizing stiffness,forward snapping force,and backward snapping force.Our proposed approach is distinguished by its efficiency in terms of low computational energy consumption and high effectiveness.It holds promise for future applications in the design and optimization of multistable structures with diverse objectives,addressing the requirements of various fields.

Inter-well internal resonance analysis of rectangular asymmetric cross-ply bistable composite laminated cantilever shell under transverse foundation excitation

The chaotic dynamic snap-through and complex nonlinear vibrations are investigated in a rectangular asymmetric cross-ply bistable composite laminated cantilever shell,in cases of 1:2 inter-well internal resonance and primary resonance.The transverse foundation excitation is applied to the fixed end of the structure,and the other end is in a free state.The first-order approximate multiple scales method is employed to perform the perturbation analysis on the dimensionless two-degree-of-freedom ordinary differential motion control equation.The four-dimensional averaged equations are derived in both polar and rectangular coordinate forms.Deriving from the obtained frequency-amplitude and force-amplitude response curves,a detailed analysis is conducted to examine the impacts of excitation amplitude,damping coefficient,and tuning parameter on the nonlinear internal resonance characteristics of the system.The nonlinear softening characteristic is exhibited in the upper stable-state,while the lower stable-state demonstrates the softening and linearity characteristics.Numerical simulation is carried out using the fourth-order Runge-Kutta method,and a series of nonlinear response curves are plotted.Increasing the excitation amplitude further elucidates the global bifurcation and chaotic dynamic snap-through characteristics of the bistable cantilever shell.

Effects of error feedback on a nonlinear bistable system with stochastic resonance

In this paper, we discuss the effects of error feedback on the output of a nonlinear bistable system with stochastic resonance. The bit error rate is employed to quantify the performance of the system. The theoretical analysis and the numerical simulation are presented. By investigating the performances of the nonlinear systems with different strengths of error feedback, we argue that the presented system may provide guidance for practical nonlinear signal processing.

Low-threshold bistable reflection assisted by oscillating wave interaction with Kerr nonlinear medium

Owing to the enormously enhanced oscillating wave,a minute variation of the incident light intensity will give rise to a change in the dielectric constant of the Kerr nonlinear medium and lead to a bistable reflection with an ultra-low threshold intensity,which is closely related to the angle of incidence and the thickness of the Kerr nonlinear medium.The criterion for the existence of optical bistability is derived.Our bistability scheme is simple and not limited to the TM-polarization.

A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms

Vibration isolation is one of the most efficient approaches to protecting host structures from harmful vibrations,especially in aerospace,mechanical,and architectural engineering,etc.Traditional linear vibration isolation is hard to meet the requirements of the loading capacity and isolation band simultaneously,which limits further engineering application,especially in the low-frequency range.In recent twenty years,the nonlinear vibration isolation technology has been widely investigated to broaden the vibration isolation band by exploiting beneficial nonlinearities.One of the most widely studied objects is the"three-spring"configured quasi-zero-stiffness(QZS)vibration isolator,which can realize the negative stiffness and high-static-low-dynamic stiffness(HSLDS)characteristics.The nonlinear vibration isolation with QZS can overcome the drawbacks of the linear one to achieve a better broadband vibration isolation performance.Due to the characteristics of fast response,strong stroke,nonlinearities,easy control,and low-cost,the nonlinear vibration with electromagnetic mechanisms has attracted attention.In this review,we focus on the basic theory,design methodology,nonlinear damping mechanism,and active control of electromagnetic QZS vibration isolators.Furthermore,we provide perspectives for further studies with electromagnetic devices to realize high-efficiency vibration isolation.

Recent advances in wave energy converters based on nonlinear stiffness mechanisms

Wave energy is one of the most abundant renewable clean energy sources,and has been widely studied because of its advantages of continuity and low seasonal variation.However,its low capture efficiency and narrow capture frequency bandwidth are still technical bottlenecks that restrict the commercial application of wave energy converters(WECs).In recent years,using a nonlinear stiffness mechanism(NSM)for passive control has provided a new way to solve these technical bottlenecks.This literature review focuses on the research performed on the use of nonlinear mechanisms in wave energy device utilization,including the conceptual design of a mechanism,hydrodynamic models,dynamic characteristics,response mechanisms,and some examples of experimental verification.Finally,future research directions are discussed and recommended.

Nonlinear Optical Fiber Resonator:Optical Fiber Bistability

The linear and nonlinear charecteristics of verious optical riber loop resonators have been processed uniformly using transmission matrix method. It is pointed that in nonlinear operation condition each of those optical fiber loop resonators may be used to make an all-optical fiber bistabillty device.The configuration,charecterictics and threshold of verious Er-doped fiber loop bistability devices have been calculated,analysised, and compared, and the design principle of those devices has been given.

A Nonlinear Electrical Resonator as a Simple Touch-Sensitive Switch with Memory

We introduce a novel switching mechanism that relies on the bistability of a simple nonlinear electrical resonator which incorporates a varactor diode as its capacitive element. The switching action can be made fast and is self-contained in that no further circuitry is necessary. Unlike a flip-flop, whose state is flipped by applying a TTL pulse, this nonlinear switch can be engaged external to the circuit via magnetic, inductive or capacitive coupling;in this way, the switch becomes intrinsically touch-sensitive. Alternatively, the switching action can also be accomplished using frequency-shift-keying (FSK) modulation, which holds the promise of fast manipulation of the memory state. We demonstrate the potential application of these ideas by constructing a touch-sensitive LED lattice.

Bistability in a Hybrid Optomechanical System under the Effect of a Nonlinear Medium

We investigate a hybrid optomechanical system consisting of two coupled cavities, one of them is composed of two-end fixed mirrors （called the traditional cavity）, and the other has a one-end oscillating mirror （named as the optomechanical cavity）. A Kerr medium is inside the traditional cavity to enhance the nonlinearity due to the fact that it can cause observing of bistable behavior in intracavity intensity for the optomechanical cavity. The Hamiltonian of the system is written in a rotating frame and its dynamics is described by quantum Langevin equations of motion. Our proposed system exhibits unconventional plots for the mean photon number of the optomechanical cavity which are not observed in previous works. The present results show a deep effect of the Kerr medium on optical bistability of intracavity intensity for the optomechanical cavity. Also, coupling strength of the cavities can effectively change the stability of the system.

Periodic Modulation of Nonlinearity in a Fiber Bragg Grating:A Numerical Investigation

We present numerical studies on the switching characteristics of a fiber Bragg grating (FBG) with modulation in the third order nonlinear index of refraction along it’s length. The FBG is operating in a continuous wave regime (CW). This study was done taking into account the possible asymmetry brought by the non harmonic modulation of the nonlinearity, leading to different reflection and transmission characteristics, that depend on the direction of propagation along the modulated nonlinear FBG. This phenomenon may be useful for applications like an optical isolator. It was found that for a set of values of the modulation parameter, the FBG can exhibit multistable states. The numerical studies were obtained starting from the coupled-mode equations solved from the coupled-mode theory and simulated using the fourth-order Runge-Kutta method.

异质微环谐振腔双稳态及全光存储器应用

提出了一种基于异质集成波导的微环谐振腔,对其双稳态现象进行了研究分析,并将其应用于全光存储功能的实现。异质集成波导具有超高的克尔非线性效应,不受热光效应和载流子响应的限制,在超快克尔非线性效应的支持下,该结构具有快速全光切换的能力。设计了一个高品质因子Q=77565的微环谐振腔,用耦合模式理论模拟了其双稳态现象。在峰值功率为474 fJ,宽度为20 ps的脉冲激励下,该微环谐振腔很好地实现了全光存储功能,并通过波分复用的串联微环结构展示了波长可寻址的四位光存储器。研究了基于超高克尔非线性效应的双稳态现象,为实现超快切换速度提供了可能性,在光存储、光开关、人工智能研究等方面具有一定的参考价值。

基于随机共振的水下目标微弱回波信号增强检测

针对低信噪比下主动声呐探测水下目标的微弱回波信号检测难题,本文提出了一种基于随机共振的微弱回波信号增强检测方法。该方法通过建立频移变尺度随机共振系统,与输入高频微弱回波信号、随机噪声相匹配,实现微弱回波信号的共振增强;进而利用乘积谱与谱峭度构建目标回波亮点增强检测指标,有效提升微弱回波亮点的能量集中程度,抑制杂波及虚假成分干扰。仿真结果表明:在低信噪比下,随机共振系统输出信噪比增益可达5 dB以上,微弱目标回波亮点检测结果更加直观便捷,杂波干扰得到大幅抑制。海试数据处理结果进一步验证了所提方法的有效性和可靠性。

双稳态压电超结构的超传输滞回效应与非互易编码特性

利用超结构的非线性效应能够实现新颖的振动能量传输调控现象.双稳态超结构存在非线性超传输特性,即在超结构线性化带隙内,当激励幅值超过某个临界值时,传输的振动能量将突变到很大值.文章针对含双稳态分流电路的压电超结构梁,建立了力电耦合非线性动力学数值模型,并采用伽辽金法对数值模型进行降阶处理以提升计算效率.基于上述模型研究了双稳态压电超结构的振动能量非线性传输特性,发现超结构线性局域共振带隙内的超传输特性存在滞回效应,也即向上扫幅激励和向下扫幅激励两种工况下超传输临界值不同.通过改变双稳态电路两个稳定平衡点的间距或者电路在稳定平衡点的共振强度可以移动超传输滞回区间.进一步通过在双稳态压电超结构一侧布置线性共振电路来引入系统非对称性,可使得正方向和反方向的超传输滞回区间发生偏离,利用这种非互易的超传输滞回效应可以在不同激励幅值区间实现不同模式的非互易编码.增强系统非对称性可使得正方向和反方向的超传输滞回区间偏离更加显著,故非互易编码区间具有可调性.文章极大地拓展了超材料的非互易模式,正方向和反方向能量传输性能不再局限于传统超材料固定的“传输”或“非传输”状态,通过合适的非互易编码设计可以实现弹性信息的单向传输功能.

双稳态压电-电磁复合俘能器非线性动力学分析

提出一种基于聚偏氟乙烯(PVDF)压电材料的双稳态悬臂梁式压电-电磁复合俘能器结构。考虑到大变形时材料的几何非线性特点,基于Euler-Bernoulli梁理论和Hamilton原理建立系统分布式参数模型,采用Galerkin法与谐波平衡法给出响应解析解;利用MATLAB仿真分析激励频率、激励幅值、磁铁间距和负载电阻对系统输出性能的影响,并运用龙格-库塔法分析俘能器的非线性动力学特性;通过电路仿真研究悬臂梁在不同振动状态下的整流滤波特性。结果表明:随着激励幅值的提高,系统阱间运动的频率带宽会逐渐增大;存在一组最优的压电负载和电磁负载,使得系统输出总功率达到最大;负载的改变不会影响阱间运动的频带宽度;随着激励的增强,系统在混沌运动和周期运动间进行状态转换,可以利用标准桥式整流滤波电路进行周期运动时的能量采集,但该电路无法稳定收集混沌运动时的系统输出。

非线性接口电路对双稳态压电能量收集器性能提升的仿真研究

采用谐波平衡法仿真分析非线性双稳态压电振动能量收集装置(Bistable Energy Harvester,BEH)与双同步开关收集(Double Synchronized Switch Harvesting,DSSH)电路之间的非线性机电耦合情况。研究结果表明,在上扫频激励的条件下,BEH耦合DSSH电路相较于耦合标准接口电路(Standard Energy Harvesting,SEH)的最优输出功率和工作带宽分别提高了391.1%和14.9%;在6 m/s^(2)的定频激励下,BEH耦合DSSH电路比耦合SEH电路的最优输出功率提高了344.8%,且与负载无关。

一种磁耦合型M形屈曲梁压电俘能器研究

为了提高压电俘能器在低频弱振动环境下的俘能效率,在M形屈曲梁压电俘能器(MEH)的基础上引入非线性磁力,提出了一种磁耦合型MEH,建立了系统的集总参数模型,并基于M形屈曲梁结构的非对称性,通过实验测量并拟合了M形屈曲梁的非线性恢复力,探究了非线性磁力对系统性能的影响。仿真和实验结果表明,磁耦合型MEH具有更宽的工作频带,在0.5 g加速度激励下达到了8.3 Hz(5.5 Hz~13.8 Hz),比无磁耦合时的MEH提高了12.2%;磁耦合型MEH具有更低的跨阱阈值,在0.15 g加速度激励下可以实现大振幅周期运动。

非对称铺设双稳态正交复合材料层合方形板的静力学与动力学分析

建立了非对称铺设双稳态正交复合材料层合方形板的静力学和动力学模型。通过固化分析确定了三个平衡状态,展示了以温差绝对值为控制参数的超临界叉形分岔。通过稳定性分析确定了三个平衡状态为两个稳定平衡状态和一个不稳定平衡状态。通过静力学分析确定了双势阱势能曲线,这有助于对动态跳跃现象的研究。通过在动力学分析中引入阻尼,分析了平衡点的动态分岔。通过数值模拟讨论了基础激励频率对动力学特性的影响。当激励频率处于一定范围内时,系统会发生双势阱大振幅动态跳跃和非线性振动,此频率范围可以被设定为特定频率带宽。双稳态系统的主要动力学特性表现为周期振动、概周期振动和混沌振动。

基于Ga_(2)O_(3)-SiC-Ag多层结构的介电常数近零超低开关阈值光学双稳态器件

光学双稳态这一非线性光学现象因其在全光系统中的巨大应用潜力而备受关注.然而微弱的非线性响应往往需要巨大的输入功率才能实现光学双稳态,导致其实用性不强.本文基于Ga_(2)O_(3)-SiC-Ag的金属-介电材料多层结构,在实现介电常数近零的大场增强的同时,还引入了具有大非线性系数的材料,并基于有限元法研究了介电常数近零层的厚度和长度对光学双稳态的影响.研究结果表明,光学双稳态随介电常数近零层的厚度和长度的增大而变得愈发显著,在通信波段的开关阈值低至约10^(-6)W/cm^(2),与之前报道的基于介电常数近零材料的光学双稳态相比,降低了9个数量级,展现了在光子集成电路产业化中的巨大应用潜力.