用时滞和阶跃序列组合生成网格多涡卷蔡氏混沌吸引子

提出了在规范型蔡氏电路中生成两种不同类型网格多涡卷混沌吸引子的新方法.与现有文献报道仅构造同一类型非线性函数产生多涡卷混沌吸引子的主要差别在于,这种方法能在一个蔡氏电路中同时构造时滞序列和阶跃序列,并通过其不同的组合方式来扩展相空间中指标2的鞍焦平衡点,从而生成两种不同类型的网格多涡卷混沌吸引子.理论分析、数值模拟和电路实验结果证实了该方法的可行性. 关键词： 规范型蔡氏电路 网格多涡卷混沌吸引子 时滞序列和阶跃序列 电路实现     

汽车整车非线性动力计算

通过轿车副车架橡胶支承的动态特性试验和理论分析,实现橡胶支承迟滞特性的数学建模和参数识别。利用所建模型重构恢复力-位移迟滞回线,并与试验结果比较表明所建模型的正确性。介绍了具有线性和非线性连接子结构的自由界面模态综合法的基本原理,并采用该方法建立了考虑副车架橡胶支承迟滞特性的整车非线性动力学模型,用所建模型对汽车动力特性进行了数值仿真,并通过试验对仿真结果进行验证。     

Supplement to the paper “A collection of 505 papers on false or unconfirmed ferroelectric properties in single crystals,ceramics and polymers [Front. Phys. 14(6), 63301 (2019)]”

This supplement contains 222 (angel number) further papers on false or unconfirmed ferroelectric properties in single crystals, ceramics and polymers and only concerns bulk materials. Thus, the number of such papers has reached huge value 727. The papers marked in red have drastically broken the principles of symmetry because they reported the existence of ferroelectricity in crystals without the polar axis.     

Collision enhanced hyper-damping in nonlinear elastic metamaterial

Nonlinear elastic metamaterial, a topic which has attracted extensive attention in recent years, can enable broadband vibration reduction under relatively large amplitude. The combination of damping and strong nonlinearity in metamaterials may entail extraordinary effects and offer the capability for low-frequency and broadband vibration reduction. However, there exists a clear lack of proper design methods as well as the deficiency in understanding properties arising from this concept. To tackle this problem, this paper numerically demonstrates that the nonlinear elastic metamaterials, consisting of sandwich damping layers and collision resonators, can generate very robust hyper-damping effect, conducive to efficient and broadband vibration suppression. The collision-enhanced hyper damping is persistently presented in a large parameter space, ranging from small to large amplitudes, and for small and large damping coefficients. The achieved robust effects greatly enlarge the application scope of nonlinear metamaterials. We report the design concept, properties and mechanisms of the hyper-damping and its effect on vibration transmission. This paper reveals new properties offered by nonlinear elastic metamaterials, and offers a robust method for achieving efficient low-frequency and broadband vibration suppression.     

The D'Alembert type waves and the soliton molecules in a (2+1)-dimensional Kadomtsev-Petviashvili with its hierarchy equation

For a one (2+1)-dimensional combined Kadomtsev-Petviashvili with its hierarchy equation, the missing D'Alembert type solution is derived first through the traveling wave transformation which contains several special kink molecule structures. Further, after introducing the Bäcklund transformation and an auxiliary variable, the N-soliton solution which contains some soliton molecules for this equation, is presented through its Hirota bilinear form. The concrete molecules including line solitons, breathers and a lump as well as several interactions of their hybrid are shown with the aid of special conditions and parameters. All these dynamical features are demonstrated through the different figures.     

Soliton solution and interaction property for a coupled modified Korteweg-de Vries （mKdV） system

Hirota＇s bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg- de Vries （mKdV） system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this （1＋1）-dimensional integrable coupled model.     

脉冲磁化条件下非晶磁芯的损耗特性

基于工频或高频磁化条件下磁芯的测试数据不能准确反映磁芯在单次脉冲磁化下的性能,给出了一种脉冲磁化条件下磁芯性能的测试方法和数据处理方法,实验研究了快脉冲磁化条件下非晶态合金磁芯的损耗特性,磁芯最短饱和时间67 ns,最大磁化速率达到40 T/s。通过数据处理,给出了磁芯损耗与磁化速率的关系曲线,获得了不同磁化速率下磁芯的损耗数据。分析了脉冲磁化条件下涡流损耗和磁滞损耗所占的比例。研究结果表明:脉冲磁化条件下非晶态合金磁芯损耗与磁化速率关系符合饱和波模型,磁芯损耗随磁化速率增大而线性增大。     

Phase imaging with rotating illumination

A modified extended-ptychographical-iterative-engine （ePIE） algorithm is proposed to overcome the dis- advantages of ePIE technique and reduce the influence of stage hysteresis or backlash error. The exit wave of a rotatable ＂screen＂ illuminated by plane wave is used as the illumination on the specimen, and the complex transmission functions of the rotatable object and specimen can be simultaneously reconstructed. Compared with the standard x - y scanning PIE algorithm, the proposed algorithm can completely avoid the influence of stage hysteresis （or backlash error）. The proposed algorithm also has higher convergence s!oeed and better accuracy than the standard PIE algorithm.     

混合Heisenberg自旋体系动态相变的滞后标度

采用Monte Carlo方法对离散混合经典Heisenberg自旋体系在周期性外场驱动下动态相变行为进行了模拟计算.在典型Heisenberg自旋体系的哈密顿量基础上,引入表征非晶相的随机各向异性能项(比例为X)和表征晶体相的单轴各向异性能项(比例为1-X),考察了该混合自旋体系磁滞后回线面积A_area随X和单轴各向异性常数A及随机各向异性常数D的变化规律,并确定了该类自旋体系动态相变新的滞后标度关系A_area-A^δD^{η关键词： 海森堡模型 Monte Carlo模拟 磁滞标度 非晶纳米晶}     

固-流结构矩形掺杂声子晶体的滤波特性

利用一维固-流结构矩形掺杂声子晶体中弹性波横向受限的条件,推导出弹性波在一维固-流结构矩形掺杂声子晶体中各个模式满足的关系式.研究弹性波各模式的缺陷模随模式量子数和杂质厚度的变化规律.利用缺陷模随模式量子数的变化规律可以实现多通道滤波,利用缺陷模随杂质厚度的变化规律可以实现调谐滤波.