Design and Optimization of Omnidirectional Band Gap for One-Dimensional Periodic and Quasiperiodic Phononic Heterostructures

A new kind of one-dimensional multilayer phononie heterostructure is constructed to obtain a broad acoustic omnidirectional reflection （ODR） band. The heterostructure is formed by combining finite periodic phononic crystals （PnCs） and Fibonacci （or Thue-Morse） quasiperiodic PnCs. From the numerical results performed by the transfer matrix method, it is found that the ODR bands can be enlarged obviously by using the combination of periodic and quasi-periodic PnCs. Moreover, an application of particle swarm optimization in designing and optimizing acoustic ODR bands is reported. With regards to different thickness ratios and periodic numbers in the heterostructure, we give some optimization examples and finally achieve phononic heterostructure with a very broad ODR bandwidth. The result provides a new approach to achieve broad acoustic ODR bandwidth, and will be applied in design of omnidirectional acoustic mirrors.

Hyperparameter Tuning for Deep Neural Networks Based Optimization Algorithm

For training the present Neural Network(NN)models,the standard technique is to utilize decaying Learning Rates(LR).While the majority of these techniques commence with a large LR,they will decay multiple times over time.Decaying has been proved to enhance generalization as well as optimization.Other parameters,such as the network’s size,the number of hidden layers,drop-outs to avoid overfitting,batch size,and so on,are solely based on heuristics.This work has proposed Adaptive Teaching Learning Based(ATLB)Heuristic to identify the optimal hyperparameters for diverse networks.Here we consider three architec-tures Recurrent Neural Networks(RNN),Long Short Term Memory(LSTM),Bidirectional Long Short Term Memory(BiLSTM)of Deep Neural Networks for classification.The evaluation of the proposed ATLB is done through the various learning rate schedulers Cyclical Learning Rate(CLR),Hyperbolic Tangent Decay(HTD),and Toggle between Hyperbolic Tangent Decay and Triangular mode with Restarts(T-HTR)techniques.Experimental results have shown the performance improvement on the 20Newsgroup,Reuters Newswire and IMDB dataset.

Nonlinear analytical solution for one-dimensional consolidation of soft soil under cyclic loading

This paper presents an analytical solution for one-dimensional consolidation of soft soil under some common types of cyclic loading such as trapezoidal cyclic loading, based on the assumptions proposed by Davis and Raymond （1965） that the decrease in permeability is proportional to the decrease in compressibility during the consolidation process of the soil and that the distribution of initial effective stress is constant with depth the solution obtained, some diagrams are prepared and the It is verified by the existing analytical solutions in special cases. Using telex ant consolidation behavior is investigated.

Study on one-dimensional consolidation of soil under cyclic loading and with varied compressibility

This paper presents a semi-analytical method to solve one dimensional consolidation problem by taking consideration of varied compressibility of soil under cyclic loading. In the method, soil stratum is divided equally into n layers while load and consolidation time are also divided into small parts and time intervals accordingly. The problem of one-dimensional consolidation of soil stratum under cyclic loading can then be dealt with at each time interval as one-dimensional linear consolidation of multi-layered soils under constant loading. The compression or rebounding of each soil layer can be judged by the effective stress of the layer. When the effective stress is larger than that in the last time interval, the soil layer is compressed, and when it is smaller, the soil layer rebounds. Thus, appropriate compressibility can be chosen and the consolidation of the layered system can be analyzed by the available analytical linear consolidation theory. Based on the semi-analytical method, a computer program was developed and the behavior of one-dimensional consolidation of soil with varied compressibility under cyclic loading was investigated, and compared with the available consolidation theory which takes no consideration of varied compressibility of soil under cyclic loading. The results showed that by taking the variable compressibility into account, the rate of consolidation of soil was greater than the one predicted by conventional consolidation theory.

Cyclic Solution and Optimal Approximation of the Quaternion Stein Equation

In this paper, two different methods are used to study the cyclic structure solution and the optimal approximation of the quaternion Stein equation AXB - X = F . Firstly, the matrix equation equivalent to the target structure matrix is constructed by using the complex decomposition of the quaternion matrix, to obtain the necessary and sufficient conditions for the existence of the cyclic solution of the equation and the expression of the general solution. Secondly, the Stein equation is converted into the Sylvester equation by adding the necessary parameters, and the condition for the existence of a cyclic solution and the expression of the equation’s solution are then obtained by using the real decomposition of the quaternion matrix and the Kronecker product of the matrix. At the same time, under the condition that the solution set is non-empty, the optimal approximation solution to the given quaternion circulant matrix is obtained by using the property of Frobenius norm property. Numerical examples are given to verify the correctness of the theoretical results and the feasibility of the proposed method. .

Analytical solution to one-dimensional consolidation in unsaturated soils under sinusoidal cyclic loading

An analytical solution was presented to the unsaturated soil with a finite thickness under confinement in the lateral direction and sinusoidal cyclic loading in the vertical direction based on Fredlund's one-dimensional consolidation equation for unsaturated soil. The transfer relationship between the state vectors at the top surface and any depth was gained by applying the Laplace transform and Cayley-Hamilton mathematical methods to the governing equations of water and air, Darcy's law and Fick's law. The excess pore-air and pore-water pressures and settlement in the Laplace-transformed domain were obtained by using the Laplace transform with the initial and boundary conditions. The analytical solutions of the excess pore-air and pore-water pressures at any depth and settlement were obtained in the time domain by performing the inverse Laplace transforms. A typical example illustrates the consolidation characteristics of unsaturated soil under sinusoidal loading from analytical results. Finally, comparisons between the analytical solutions and results of the numerical method indicate that the analytical solution is correct.

Three-scale integrated optimization model of furnace simulation,cyclic scheduling,and supply chain of ethylene plants

In order to explore the potential of profit margin improvement,a novel three-scale integrated optimization model of furnace simulation,cyclic scheduling,and supply chain of ethylene plants is proposed and evaluated.A decoupling strategy is proposed for the solution of the three-scale model,which uses our previously proposed reactor scale model for operation optimization and then transfers the obtained results as a parameter table in the joint MILP optimization of plant-supply chain scale for cyclic scheduling.This optimization framework simplifies the fundamental mixed-integer nonlinear programming(MINLP)into several sub-models,and improves the interpretability and extendibility.In the evaluation of an industrial case,a profit increase at a percentage of 3.25%is attained in optimization compared to the practical operations.Further sensitivity analysis is carried out for strategy evolving study when price policy,supply chain,and production requirement parameters are varied.These results could provide useful suggestions for petrochemical enterprises on thermal cracking production.

Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations

In this paper, we discuss one-dimensional optimal system and the invariant solutions of Coupled Burgers’ equations. By using Wu-differential characteristic set algorithm with the aid of Mathematica software, the classical symmetries of the Coupled Burgers’ equations are calculated, and the one-dimensional optimal system of Lie algebra is constructed. And we obtain the invariant solution of the Coupled Burgers’ equations corresponding to one element in one dimensional optimal system by using the invariant method. The results generalize the exact solutions of the Coupled Burgers’ equations.

Cyclic Reconfigurable Flow Shop under Different Configurations Modeling and Optimization Based on Timed Event Graph

Based on the idea that modules are independent of machines, different combinations of modules and machines result in different configurations and the system performances differ under different configurations, a kind of cyclic reconfigurable flow shops are proposed for the new manufacturing paradigm-reconfigurable manufacturing system. The cyclic reconfigurable flow shop is modeled as a timed event graph. The optimal configuration is defined as the one under which the cyclic reconfigurable flow shop functions with the minimum cycle time and the minimum number of pallets. The optimal configuration, the minimum cycle time and the minimum number of pallets can be obtained in two steps.

A new adaptive mutative scale chaos optimization algorithm and its application

Based on results of chaos characteristics comparing one-dimensional iterative chaotic self-map x = sin（2/x） with infinite collapses within the finite region[-1, 1] to some representative iterative chaotic maps with finite collapses （e.g., Logistic map, Tent map, and Chebyshev map）, a new adaptive mutative scale chaos optimization algorithm （AMSCOA） is proposed by using the chaos model x = sin（2/x）. In the optimization algorithm, in order to ensure its advantage of speed convergence and high precision in the seeking optimization process, some measures are taken： 1） the searching space of optimized variables is reduced continuously due to adaptive mutative scale method and the searching precision is enhanced accordingly; 2） the most circle time is regarded as its control guideline. The calculation examples about three testing functions reveal that the adaptive mutative scale chaos optimization algorithm has both high searching speed and precision.

Performance Optimization of Torque Converters Based on Modified 1D Flow Model

A methodology for performance optimization of torque converters is put forward based on the one-dimensional (1D) flow model. It is found that the inaccuracy of 1D flow model for predicting hydraulic performance at the low speed ratio is mainly caused by the separation phenomenon at the stator cascade which is induced by large flow impinging at the pressure side of the stator blades. A semi-empirical separation model is presented and incorporated to the original 1D flow model. It is illustrated that the improved model is able to predict the circumferential velocity components accurately, which can be applied to performance optimization. Then, the Pareto front is obtained by using the genetic algorithm (GA) in order to inspect the coupled relationship among stalling impeller torque capacity, stalling torque ratio and efficiency. The efficiency is maximized on the premise that a target stalling impeller torque capacity and torque ratio are achieved. Finally, the optimized result is verified by the computational fluid dynamics(CFD) simulation, which indicates that the maximal efficiency is increased by 0.96%.

Numerical simulation and optimization of clearance in sheet shearing process

An analysis model to simplify the shearing and blanking process was developed. Based on the simplified model, the shearing process was simulated by FEM and analyzed for various clearances. An optimum clearance in the process was determined by new approach based on orientation of the maximum shearing stress on the characteristic line linking two blades, according to the law of crack propagation and experiments. The optimum clearance determined by this method can be used to dictate the range of reasonable clearance. By the new approach, the optimum clearance can be obtained conveniently and accurately even if there is some difference between the selected points, where the initial crack is assumed originated, and the actual one, where the initial crack occurs really.

Research and Application of Pollution Control in the Middle Reach of Ashe River by Multi-Objective Optimization

Based on one-dimensional water quality model and nonlinear programming, the point source pollution reduction model with multi-objective optimization has been established. To achieve cost effective and best water quality, for us to optimize the process, we set pollutant concentration and total amount control as constraints and put forward the optimal pollution reduction control strategy by simulating and optimizing water quality monitoring data from the target section. Integrated with scenario analysis, COD and ammonia nitrogen pollution optimization wasstudiedin objective function area from Mountain Maan of Acheng to Fuerjia Bridge along Ashe River. The results showed that COD and NH3-N contribution has been greatly reduced to AsheRiverby 49.6% and 32.7% respectively. Therefore, multi-objective optimization by nonlinear programming for water pollution control can make source sewage optimization fairly and reasonably, and the optimal strategies of pollution emission are presented.

Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering

Having realized various significant roles that higher-dimensional nonlinear partial differ-ential equations(NLPDEs)play in engineering,we analytically investigate in this paper,a higher-dimensional soliton equation,with applications particularly in ocean physics and mechatronics(electrical electronics and mechanical)engineering.Infinitesimal generators of Lie point symmetries of the equation are computed using Lie group analysis of differen-tial equations.In addition,we construct commutation as well as Lie adjoint representation tables for the nine-dimensional Lie algebra achieved.Further,a one-dimensional optimal system of Lie subalgebras is also presented for the soliton equation.This consequently enables us to generate abundant group-invariant solutions through the reduction of the understudy equation into various ordinary differential equations(ODEs).On solving the achieved nonlinear differential equations,we secure various solitonic solutions.In conse-quence,these solutions containing diverse mathematical functions furnish copious shapes of dynamical wave structures,ranging from periodic,kink and kink-shaped nanopteron,soliton(bright and dark)to breather waves with extensive wave collisions depicted.We physically interpreted the resulting soliton solutions by imploring graphical depictions in three dimensions,two dimensions and density plots.Moreover,the gained group-invariant solutions involved several arbitrary functions,thus exhibiting rich physical structures.We also implore the power series technique to solve part of the complicated differential equa-tions and give valid comments on their results.Later,we outline some applications of our results in ocean physics and mechatronics engineering.

基于最优频段循环脉冲指数谱的轴承故障诊断方法

针对滚动轴承多故障冲击共振频带的非一致性及相互交叠影响问题,提出了一种基于循环脉冲指数(CPI)谱的轴承多故障同步诊断方法。该方法引入短时脉冲峰值矩的变异系数对轴承故障冲击进行量化表征,结合冗余提升小波包对轴承故障信号进行频带塔式分解与频带信号CPI计算,构建了故障信号的CPI比值谱图(CPIRgram);根据CPI比值最大原则对轴承故障信号的最优共振频带进行自适应选择,并采用最优频段循环脉冲谱对轴承各故障特征频率进行了统一表征。仿真与故障试验分析结果表明,本文方法无需故障先验知识与分解参数的优化设置,在强噪声及随机瞬态干扰情况下,也能够准确地对多故障特征频率进行同步检测,检测出的故障频率与其理论值误差均小于1.6 Hz,且对故障冲击强度大小及冲击模式变化具有较好的鲁棒性,有较好的应用前景。

装配式可更换分级屈服耗能连接集成形状优化及试验研究

为增强装配式混凝土框架结构的可恢复性,提出一种可更换分级屈服耗能连接,通过在梁-柱节点处设置该连接可实现对结构屈服过程的有效控制。针对分级屈服耗能连接中的弯剪部件,基于等效应力屈服强度理论推导得到弯剪部件考虑等应力屈服的形状曲线,通过Python集成Abaqus数值模型和优化算法获得低周疲劳性能最优的形状曲线。对5个分级屈服耗能连接试件开展低周往复加载试验,研究其滞回性能和变形能力等抗震性能,评价形状优化后分级屈服耗能连接的性能水平,并对弯剪部件影响参数进行分析。结果表明:优化后弯剪部件的塑性应变分布更加均匀,耗能能力和材料利用率明显提高;同时弯剪部件经优化后的分级屈服耗能连接试件变形能力显著增强;随着弯剪部件的等应力屈服高度比或高宽比减小,分级屈服耗能连接的承载能力和耗能能力均逐渐提高,但刚度退化速率逐渐加快;各试件变形及损伤主要集中在弯剪部件和屈曲部件,且均实现了分级屈服的耗能机制,说明分级屈服耗能连接能够有效控制结构的屈服过程。

含循环换电负荷及充电站的微电网多目标优化调度

电动换电重卡由于具有充电功率高、周期性强的循环换电负荷特性,一旦短时大量接入微电网中,将带来经济性和安全性的挑战。首先讨论电动汽车充电、循环换电负荷的不同特性,建立含循环换电负荷及充电站的微电网模型;提出一种综合考虑微电网经济性及联络线功率波动性的多目标调度优化方法;采用线性加权方法将多目标问题转化为单目标问题;最后利用CPLEX工具对仿真算例进行求解,仿真算例表明,所提优化方案可有效求解综合考虑不同权重下微电网净利润、联络线交换功率及换电站内电池最优调度问题,能在尽可能减小微电网与上级电网交换功率波动性的同时,使得微电网获得最大净利润。

基于参数自适应的RSSD-CYCBD及在轴承外圈故障特征提取中的应用

针对滚动轴承工作环境复杂、故障特征信号易被高强度噪声掩盖的问题,提出了基于参数自适应的共振稀疏分解(RSSD)和最大二阶循环平稳盲解卷积(CYCBD)的滚动轴承故障诊断方法。首先,利用人工大猩猩部队优化算法(GTO),结合相关系数与相关峭度的融合指标,自适应选择RSSD分解参数,得到了仿真信号的最优低共振分量;然后,利用GTO结合包络熵,自适应选择CYCBD的循环频率和滤波器长度,对最优低共振分量进行了解卷积运算,从包络谱中获得了信号的故障特征频率;最后,利用美国凯斯西储大学试验台和MFS-MG机械故障综合模拟试验台数据,综合验证了该方法的有效性,并将试验结果与RSSD-MCKD方法的结果进行了对比。研究结果表明,该方法能够准确地得到仿真信号的故障频率为20 Hz、美国凯斯西储大学试验台近似故障频率为107.5 Hz、MFS-MG试验台近似故障频率为87.6 Hz。自适应RSSD-CYCBD方法能够有效地识别出故障特征频率及其倍频,实现滚动轴承故障诊断的目的。

基于循环码的秘密共享方案

纠错码可以用来构造秘密共享方案,每个线性码均对应一个秘密共享方案.然而,一般情况下,基于线性码所得到的秘密共享方案的存取结构难以确定.循环码是线性码的一类非常重要的子码,由于其具有高效的编码和解码算法,循环码在数据存储系统、通信系统和消费者电子系统中有广泛应用.令p是一个奇素数,m是一个正整数.设α是F^(∗)_(p)m的一个生成元,0≤e1,e2,e3≤p^(m)-2,s=p^(m)-1/2.令C(e1,e2,e3)表示具有三个非零根α^(e1)、α^(e2)和α^(e3)的p元循环码.首先,本文通过分析有限域上某些多项式的根的个数,给出两类参数为[5m-1,5m-2m-2,4]的最优五元循环码C(0,e1,e2).其次,给出了循环码C(0,e1,e2)和C(s,e1+s,e2+s)之间的一个联系.该联系表明可以利用最优循环码C(0,1,e)来构造最优循环码C(1,e,s).最后,本文给出了一些基于五元循环码的秘密共享方案,结果表明所构造的秘密共享方案具有良好的存取结构.

基于元循环优化的多尺度感知孪生网络目标跟踪方法

离线训练的跟踪网络对目标多尺度特征的表征能力较弱,难以高效自适应目标外观变化.为此,提出一种基于元循环优化的多尺度感知孪生网络目标跟踪方法.首先设计一种高效的基学习器作为目标跟踪器,在此基础上,引入目标多尺度感知策略,通过构建残差分层使网络由粗到细地学习目标多尺度语义特征,增强模型对目标多尺度特征的表达;进而完成目标跟踪任务.其次,为了快速适应目标的表观变化,提出了元循环优化器来更新基学习器的模型参数,学习更有效的梯度更新规则,提高了模型更新的收敛速度.在5个数据集上实验证实本文方法在形变、遮挡、快速移动和背景干扰等复杂场景下仍然能够稳定地跟踪目标,大大提升了模型的跟踪性能.