Nonlinear oscillations of sigmoid functionally graded material plates moving in longitudinal direction

Geometrically nonlinear oscillations are investigated on sigmoid functionally graded material （S-FGM） plates with a longitudinal speed. The material properties of the plates obey a sigmoid distribution rule along the thickness direction. Based on the D＇Alembert＇s principle, a nonlinear equation of motion is derived for the moving S-FGM plates, where the von K^rm^n nonlinear plate theory is adopted. Utilizing the Galerkin method, the equation of motion is discretized and solved via the method of harmonic bal- ance. The approximate analytical solutions are validated through the adaptive step-size fourth-order Runge-Kutta method. Besides, the stability of the steady-state solutions is examined. The results reveal that the mode interaction behavior can happen between the first two modes of the moving S-FGM plates, leading to a complex nonlinear frequency response. It is further found that the power-law index, the longitudinal speed, the exci- tation amplitude, and the in-plane pretension force can significantly affect the nonlinear frequency-response characteristics of longitudinally traveling S-FGM plates.

Applications of An Eddy-Viscosity Eliminator Based on Sigmoid Functions in Reynolds-Averaged Navier-Stokes Simulations of Sloshing Flow

Reynolds-averaged Navier-Stokes(RANS)turbulence modeling can lead to the excessive turbulence level around the interface in two-phase flow,which causes the unphysical motion of the interface in sloshing simulation.In order to avoid the unphysical motion of the interface,a novel eddy-viscosity eliminator based on sigmoid functions is designed to reduce the excessive turbulence level,and the eddy-viscosity eliminator based on polynomials is extracted from the cavitation simulations.Surface elevations by combining the eddy-viscosity eliminators and classical two-equation closure models are compared with the experiments,the ones by using the adaptive asymptotic model(AAM)and the ones by using the modified two-equation closure models.The root-mean-squared error(RMSE)is introduced to quantify the accuracies of surface elevations and the forces.The relation between the turbulence level in the transition layer and RMSEs of surface elevations is studied.Besides,the parametric analysis of the eddy-viscosity eliminators is carried out.The studies suggest that(1)the excessive turbulence level in the transition layer around the interface has a significant influence on the accuracies of surface elevations and the forces;(2)the eddy-viscosity eliminators can effectively reduce the excessive turbulence level in the transition layer to avoid the unphysical motion of the interface;(3)the k-ωSST model combined with the eddy-viscosity eliminators is appropriate for predicting surface elevations and forces in RANS simulations of sloshing flow.

基于AHP耦合Sigmoid函数的重载铁路黄土边坡风险分析

重载铁路具有大轴重、高密度、大运量的运输特点,黄土边坡路基段一直是重载铁路运营的高风险区段,现有风险评价方法尚无法满足其风险量化分析的需求。利用层次分析法AHP耦合Sigmoid函数的方法,围绕事故发生概率和损失两个方面对重载铁路黄土边坡工程展开风险定量评价。首先以边坡滑塌事故调研和稳定性控制理论为基础,明确黄土边坡的失稳影响因素,建立重载铁路黄土边坡稳定性评价模型和边坡失稳危害性评价模型;然后应用层次分析法建立黄土边坡稳定性评价模型指标权重,并提出各级影响因素的指标赋值方法;而后引入基于朴素贝叶斯理论的Sigmoid函数,构建边坡稳定服役概率、风险判断矩阵和黄土边坡的风险等级确定方法;最后以朔黄铁路某站高陡黄土边坡为工程背景,应用所得理论方法对其进行风险定量分析,计算得出该边坡失稳概率为0.64,造成经济损失约8611万元,隶属于高风险等级,并针对坡体几何特征、渗透能力、基岩特性等低分指标提出了具体的安全性提升措施建议。

脉冲噪声下基于Sigmoid的LFM信号参数估计

由于脉冲噪声具有的短时大幅值特性,使得基于高斯假设的信号参数估计方法无法在脉冲噪声环境下有效估计参数。针对此问题,利用α稳定分布模拟随机脉冲噪声,提出了一种基于Sigmoid-CFRFT的LFM信号参数估计方法。首先,建立了一种自适应Sigmoid函数,证明了信号经过此非线性变换后,信号的2阶矩由无界变为有界,且信号的相位信息保持不变。其次,将变换后的信号进行离散时间CFRFT,建立了数学优化模型,并使用水循环算法搜索最优值点。最后,利用了非标准SαS分布噪声的修正方法,分析了标准和非标准分布下参数估计的性能。仿真结果说明,所提方法不仅可以有效抑制脉冲噪声对LFM信号分数谱特征的影响,而且能够实现低信噪比信号参数的高精度估计。相比于现有的基于非线性变换的参数估计方法,本文方法具有更好的精度,稳定性和噪声鲁棒性。

基于改进型sigmoid函数的混合储能系统SOC控制策略

介绍锂离子电池-超级电容混合储能系统的传统SOC控制策略,提出一种基于改进型sigmoid函数的SOC控制策略,并通过算例来展示混合储能模型的构建、仿真过程,分析验证基于改进型sigmoid函数的混合储能系统SOC控制策略的有效性。

Improved parameter identification algorithm for ship model based on nonlinear innovation decorated by sigmoid function

This paper investigates the problem of parameter identification for ship nonlinear Nomoto model with small test data,a nonlinear innovation-based identification algorithm is presented by embedding sigmoid function in the stochastic gradient algorithm.To demonstrate the validity of the algorithm,an identification test is carried out on the ship‘SWAN’with only 26 sets of test data.Furthermore,the identification effects of the least squares algorithm,original stochastic gradient algorithm and the improved stochastic gradient algorithm based on nonlinear innovation are compared.Generally,the stochastic gradient algorithm is not suitable for the condition of small test data.The simulation results indicate that the improved stochastic gradient algorithm with sigmoid function greatly increases its accuracy of parameter identification and has 14.2%up compared with the least squares algorithm.Then the effectiveness of the algorithm is verified by another identification test on the ship‘Galaxy’,the accuracy of parameter identification can reach more than 95%which can be used in ship motion simulation and controller design.The proposed algorithm has advantages of the small test data,fast speed and high accuracy of identification,which can be extended to other parameter identification systems with less sample data.

Fuzzy adaptive learning control network with sigmoid membership function

To get simpler operation in modified fuzzy adaptive learning control network （FALCON） in some engineering application, sigmoid nonlinear function is employed as a substitute of traditional Gaussian membership function. For making the modified FALCON learning more efficient and stable, a simulated annealing （SA） learning coefficient is introduced into learning algorithm. At first, the basic concepts and main advantages of FALCON were briefly reviewed. Subsequently, the topological structure and nodes operation were illustrated; the gradient-descent learning algorithm with SA learning coefficient was derived; and the distinctions between the archetype and the modification were analyzed. Eventually, the significance and worthiness of the modified FALCON were validated by its application to probability prediction of anode effect in aluminium electrolysis cells.

一种用Sigmoid函数进行加权融合的图像去雾算法

为了解决图像去雾过程中在前景和天空区域过渡不平滑以及透射率融合不精确、恢复图像色彩不自然等问题,提出了一种用Sigmoid函数进行加权融合的图像去雾算法。该算法在R、G、B共3个通道上使用不同的衰减常数,并以Sigmoid作为权重函数将基于颜色衰减先验对天空区域的估计透射率和基于暗通道先验对前景区域的估计透射率进行融合,最后通过大气散射模型恢复出无雾图像。实验结果表明,该算法对包含有天空区域的雾图的去雾效果更优,复原后的图像清晰而且色彩自然,提升了图像的主观视觉效果,同时客观对比也表明了该算法的有效性和适用性。

基于改进Sigmoid函数的PMSM调速系统自抗扰控制

为实现永磁同步电机(PMSM)转速的快速、稳定控制,提出一种基于改进Sigmoid函数的自抗扰控制(ADRC)方法。首先,对Sigmoid函数进行了分析和改进,引入非线性因子;接着,利用改进Sigmoid函数替代传统非线性函数设计了PMSM调速系统的改进型微分跟踪器(TD)、改进型扩张状态观测器(ESO)和改进型非线性状态误差反馈(NLSEF)控制律,并借助李雅普诺夫(Lyapunov)函数证明了所设计的改进型ESO具有渐进稳定性;随后,证明改进型ADRC误差系统的渐进稳定性;最后,对该策略进行了仿真分析。结果表明:在PMSM调速系统中,改进型ADRC比传统ADRC和PI控制具有更好的动态性能和抗扰性能。

Constructive Approximation by Superposition of Sigmoidal Functions

In this paper, a constructive theory is developed for approximating func- tions of one or more variables by superposition of sigmoidal functions. This is done in the uniform norm as well as in the L^p norm. Results for the simultaneous approx- imation, with the same order of accuracy, of a function and its derivatives （whenever these exist）, are obtained. The relation with neural networks and radial basis func- tions approximations is discussed. Numerical examples are given for the purpose of illustration.

DEGREE OF APPROXIMATION BY SUPERPOSITIONS OF A SIGMOIDAL FUNCTION

In this paper we study the degree of approximation by superpositions of a sigmoidal function.We mainly consider the univariate case.If f is a continuous function,we prove that for any bounded sigmoidal function σ,d_(n,σ)(f)≤‖σ‖ω(f,1/(n+1)).For the Heaviside function H(x),we prove that d_(n,H)(f)≤ω(f,1/(2(n+1))). If f is a continuous funnction of bounded variation,we prove that d_(n,σ)(f)≤‖σ‖/(n+1)V(f)and d_(n,H)(f)≤ 1/(2(n+1))V(f).For he Heaviside function,the coefficient 1 and the approximation orders are the best possible.We compare these results with the classical Jackson and Bernstein theorems,and make some conjec- tures for further study.

基于Sigmoid函数的机器人鲁棒滑模跟踪控制系统设计

为了保证机器人能够在保持稳定的情况下,按照规划轨迹执行工作任务,从硬件和软件两个方面,设计了基于Sigmoid函数的机器人鲁棒滑模跟踪控制系统。装设机器人传感器与状态观测器,改装机器人鲁棒滑模跟踪控制器,完成系统硬件设计;综合机器人结构、运动机理和动力机制3个方面,构建机器人数学模型;根据状态数据采集结果与规划轨迹之间的偏差,计算机器人跟踪控制量;依据滑模运动与切换方程,利用Sigmoid函数生成机器人鲁棒滑模控制律,将生成控制指令作用在机器人执行元件上,实现系统的鲁棒滑模跟踪控制功能;在系统测试与分析中,所设计控制系统的平均位置跟踪控制误差为0.93 mm,与设定轨迹目标基本重合,机器人姿态角跟踪控制误差为0.06 mm,具有较好的鲁棒滑模跟踪控制效果,能够有效提高机器人鲁棒滑模跟踪控制精度。

低照度下基于Sigmoid函数的改进同态滤波增强算法

针对低照度图像处理难度较大,信息含量少的问题,提出了一种基于Sigmoid函数的改进同态滤波低照度图像增强方法。该方法首先基于同态滤波增强方法的原理,并利用Sigmoid函数构造两个传递函数,对图像进行分频处理;然后将低通分量乘以相应的系数来控制图像的整体灰度;接着将高频、低频分量线性相加;最后输出增强后的图像。实验结果表明,该算法不仅优化了滤波器参数的调控问题,而且有效地提高了图像对比度,视觉效果更好,细节部分更清晰。

船舶超大空间火灾环境下人员疏散模型

针对船舶超大空间火灾对人员疏散能力的影响难以量化问题,本文基于元胞自动机理论,构建了一种行人个体自主分析火灾环境下温度和能见度影响的疏散模型(cellular automata model considering visibility and temperature, CAVT)。CAVT模型采用Sigmoid函数和历史实验数据建立温度、能见度与人员运动能力的映射关系,基于FDS数值模拟结果建立火灾环境场对人员个体运动能力影响的时空耦合关系,使用熵值法计算温度场和能见度场在火灾环境场中的权重。以某客船超大空间为例开展研究分析,结果表明:火灾环境下人员疏散时间受火源功率影响较大,火源位置影响较小,出口宽度大于3 m,不影响疏散效率。与Pathfinder软件相比,CAVT模型可更准确模拟人员因高温和低能见度导致的运动能力的动态下降反馈。

基于模糊融合预测的页岩地质甜点识别技术——以胜利油区渤南洼陷为例

针对常规地震在页岩地质甜点预测中多解性较强的问题,充分挖掘一维的全岩分析数据和测井数据、二维的地质数据、三维的叠后地震数据以及五维的OVT资料方位信息,开展基于模糊融合预测的页岩地质甜点识别技术研究,提高页岩地质甜点预测准确率。首先,分别统计研究区断裂大致展布方向和有利岩相分布区,优选敏感方位角度段对OVT资料进行分方位叠加;其次,开展基于叠前优势方位的裂缝平面分析和基于前馈神经网络的页岩有利岩相三维预测;最后,研发基于改进Sigmoid和Takagi-Sugeno(TS)函数的模糊融合技术,根据页岩地质甜点控制因素的重要性程度确定主控因素的发挥作用,将方位各向异性裂缝平面预测结果和神经网络页岩岩相预测结果有效融合,实现页岩地质甜点决策融合。应用该技术在渤南洼陷沙三段下亚段开展页岩地质甜点分类分级评价,在裂缝和岩相预测基础上,剔除裂缝不发育区和不利岩相对页岩地质甜点分析的干扰,将研究区页岩地质甜点划分为3类,裂缝发育+有利岩相叠合区为一类甜点,预测结果与实钻井吻合程度较高,取得较好应用效果。研究结果表明,基于模糊融合预测的页岩地质甜点识别技术,实现了页岩地质甜点分类分级评价,提高了预测可信度,为页岩油勘探提供了可靠的技术支撑。

基于新型自适应滑模观测器的PMSM无传感器控制

为了实现无位置传感器控制策略在永磁同步电机中的应用,在传统滑模观测器的基础上提出了一种改进型的自适应滑模观测器算法。提出的改进型自适应滑模观测器中使用更平滑的sigmoid函数取代了传统的符号函数,并结合反电动势的自适应律有效地减少了提取的反电动势中包含的高频分量,避免了低通滤波器在使用过程中带来的抖振和相位延迟现象。最后反电动势中包含的转子位置信息与速度信息通过锁相环提取。为了验证模型的可行性,基于MATLAB/Simulink搭建了仿真模型进行了仿真分析,并以TMS320F28377芯片为核心搭建了永磁同步电机硬件实验平台进行实验验证,仿真与实验结果验证了该方法的有效性和实用性。

Evaluation of the Effect of Sigmoid-Shaped Interventricular Septum on Left Ventricular Systolic Function in Patients with Essential Hypertension by Two-Dimensional Speckle Tracking Echocardiography

Objective: To evaluate left ventricular regional and global systolic function by measuring left ventricular longitudinal strain (LS) in hypertensive patients with sigmoid-shaped interventricular septum (SIS) by two-dimensional speckle tracking (2D-STE);in order to explore whether the sigmoid-shaped interventricular septum affects the left ventricular systolic function in patients with hypertension. Methods: Routine echocardiographic parameters were measured in 30 hypertensive patients with SIS (SIS group) and 30 hypertensive patients without SIS (non-SIS group). The left ventricular segments and global LS were measured by 2D-STE, and the two sets of parameters were compared. Results: The value of the thickness of the basal segment of the interventricular septum (IVSBT), the thickness of the middle segment of the interventricular septum (IVSMT) and the ratio of the basal segment of the ventricular septum to the middle segment of the interventricular septum (IVSBT/IVSMT) in SIS group was higher than that in non-SIS group. However, the value of left ventricular outflow tract diameter (LVOTD) in SIS group was lower than that in non-SIS group. There was a significant difference between the two groups (all P Conclusion: SIS affects left ventricular regional systolic function of patients with hypertension. 2D-STE can early evaluate left ventricular longitudinal systolic function in hypertensive patients with SIS.

基于Sigmoid函数拟合的亚像素边缘检测方法

亚像素边缘检测技术是采用图像处理软件算法来提高检测精度的有效途径,文中对矩法、拟合法和插值法等常用的亚像素边缘检测算法的原理、优点和不足进行了分析,提出了Sigmoid函数拟合的亚像素边缘定位算法.该算法采用Sigmoid函数拟合边缘模型,利用图像边缘灰度信息对模型进行非线性最小二乘拟合,求得边缘的亚像素位置.理论分析和实验结果表明,基于Sigmoid函数拟合的亚像素边缘定位算法的定位精度为0.045像素,但检测的速度比灰度矩提高了一个数量级,比空间矩、Zern ike矩和插值法提高了两个数量级.此算法能较好地满足影像测量的稳定可靠、高精度及强实时性要求.

水下机器人基于sigmoid函数的软变结构控制

针对水下机器人滑模变结构控制系统抖振问题,利用具有光滑性和饱和性的sigmoid函数,提出一种水下机器人软变结构控制策略。利用Lyapunov稳定性理论,讨论控制受限情形的水下机器人软变结构控制系统的稳定性,构造基于sigmoid函数的软变结构控制器,给出水下机器人软变结构控制的具体算法。将基于sigmoid函数的软变结构控制策略用于水下机器人仿真实验研究,实验结果验证了该方法的可行性和有效性。与线性控制、饱和线性控制和基于变饱和函数的软变结构控制3种控制方法进行对比仿真分析,分析结果表明,基于sigmoid函数设计的软变结构控制系统调节精确度高、响应速度快,有效地削弱了系统抖振,具有良好的动态性能。

一种基于Sigmoid函数的改进协同过滤推荐算法

随着电子商务和社交网络的蓬勃发展,推荐系统逐渐成为数据挖掘领域的重要研究方向。推荐系统能够从海量信息中定位用户兴趣点,提供个性化服务。协同过滤算法能够有效分析用户偏好,提供合适的推荐服务。针对评分矩阵稀疏时传统协同过滤算法性能很差的问题,提出一种基于Sigmoid函数的改进推荐系统算法。利用Sigmoid函数对不同项目进行建模,得到项目的平均受欢迎程度;利用Sigmoid函数对不同用户进行建模,将评分映射为用户对项目的喜好程度;根据用户对项目喜好程度应该与项目平均受欢迎程度贴近的原则进行评分预测。在两组真实数据集合上的实验结果表明,该算法较好地解决了数据稀疏性问题,能够有效提高传统算法的预测准确性。