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Physics-Informed Graph Learning for Shape Prediction in Robot Manipulate of Deformable Linear Objects
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作者 Meixuan Wang Junliang Wang +2 位作者 Jie Zhang Xinting Liao Guojin Li 《Chinese Journal of Mechanical Engineering》 2025年第6期154-165,共12页
Shape prediction of deformable linear objects(DLO)plays critical roles in robotics,medical devices,aerospace,and manufacturing,especially in manipulating objects such as cables,wires,and fibers.Due to the inherent fle... Shape prediction of deformable linear objects(DLO)plays critical roles in robotics,medical devices,aerospace,and manufacturing,especially in manipulating objects such as cables,wires,and fibers.Due to the inherent flexibility of DLO and their complex deformation behaviors,such as bending and torsion,it is challenging to predict their dynamic characteristics accurately.Although the traditional physical modeling method can simulate the complex deformation behavior of DLO,the calculation cost is high and it is difficult to meet the demand of real-time prediction.In addition,the scarcity of data resources also limits the prediction accuracy of existing models.To solve these problems,a method of fiber shape prediction based on a physical information graph neural network(PIGNN)is proposed in this paper.This method cleverly combines the powerful expressive power of graph neural networks with the strict constraints of physical laws.Specifically,we learn the initial deformation model of the fiber through graph neural networks(GNN)to provide a good initial estimate for the model,which helps alleviate the problem of data resource scarcity.During the training process,we incorporate the physical prior knowledge of the dynamic deformation of the fiber optics into the loss function as a constraint,which is then fed back to the network model.This ensures that the shape of the fiber optics gradually approaches the true target shape,effectively solving the complex nonlinear behavior prediction problem of deformable linear objects.Experimental results demonstrate that,compared to traditional methods,the proposed method significantly reduces execution time and prediction error when handling the complex deformations of deformable fibers.This showcases its potential application value and superiority in fiber manipulation. 展开更多
关键词 Deformable linear objects Fiber Physics-informed graph neural network(PIGNN) shape prediction
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Study on linear shaped charge in penetrating rock 被引量:1
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作者 Luo Yong 《Engineering Sciences》 EI 2008年第2期50-54,共5页
Based on the action mechanism of linear shaped charge( LSC ), penetration performance of LSC on rock was studied. The optimal standoff and the vertex angle of LSC were studied and determined by lab experiments. Thro... Based on the action mechanism of linear shaped charge( LSC ), penetration performance of LSC on rock was studied. The optimal standoff and the vertex angle of LSC were studied and determined by lab experiments. Through cutting sand-cement grout samples, the spacing interval of boreholes can approach 17.5 times of the bore-hole' s diameter, and the result of the directional expansion of crack is satisfactory. The result of field experiment indicates cutting effect is very good, the ruggedness in fracture plane is less than 50 mm, the rate of half-hole marks is nearly 100 % , and the crack inspection shows that there is no damage in the internal of the cutting part. All these suggest that the orientation fracture blasting with LSC is a good means in directional fracture controlled blasting and is worth popularizing widely. 展开更多
关键词 linear shaped charge(LSC) standoff sand-cement grout sample directional fracture controlled blasting
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Generation of Linear and Parabolic Concentration Gradients by Using a Christmas Tree-Shaped Microfluidic Network 被引量:2
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作者 SHEN Qilong ZHOU Qiongwei +1 位作者 LU Zhigang ZHANG Nangang 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2018年第3期244-250,共7页
This paper describes a simple method of generating concentration gradients with linear and parabolic profiles by using a Christmas tree-shaped microfluidic network.The microfluidic gradient generator consists of two p... This paper describes a simple method of generating concentration gradients with linear and parabolic profiles by using a Christmas tree-shaped microfluidic network.The microfluidic gradient generator consists of two parts:a Christmas tree-shaped network for gradient generation and a broad microchannel for detection.A two-dimensional model was built to analyze the flow field and the mass transfer in the microfluidic network.The simulating results show that a series of linear and parabolic gradient profiles were generated via adjusting relative flow rate ratios of the two source solutions(R_L^2≥0.995 and _PR^2≥0.999),which could match well with the experimental results(R_L^2≥0.987 and _PR^2≥0.996).The proposed method is promising for the generation of linear and parabolic concentration gradient profiles,with the potential in chemical and biological applications such as combinatorial chemistry synthesis,stem cell differentiation or cytotoxicity assays. 展开更多
关键词 tree-shaped network concentration gradient linear profile parabolic profile
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PREPARATION AND CHARACTERIZATION OF INCLUSION COMPLEXES OF TWO-ARM LINEAR AND FOUR-ARM STAR-SHAPED POLY(ε-CAPROLACTONE)S WITHα-CYCLODEXTRIN 被引量:1
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作者 Lu Wang Jing-liang Wang 董常明 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2006年第3期245-252,共8页
Both four-ann star-shaped poly(ε-caprolactone) (4sPCL) and two-ann linear PCL (2LPCL) were synthesized and their inclusion complexation with α-cyclodextrin (α-CD) were studied. The inclusion complexes (ICs... Both four-ann star-shaped poly(ε-caprolactone) (4sPCL) and two-ann linear PCL (2LPCL) were synthesized and their inclusion complexation with α-cyclodextrin (α-CD) were studied. The inclusion complexes (ICs) formed between the PCL polymers and α-CD were characterized by ^1H-NMR, DSC, TGA, WAXD, and FT-1R, respectively. Both branch ann number and molecular weight of the PCL polymers have apparent effect on the stoichiometry (CL:CD, mol:mol) of these ICs. All these analytical results indicate that the branch arms of the PCL polymers are incorporated into the hydrophobic α-CD cavities and their original crystalline properties are completely suppressed. Moreover, the inclusion complexation between two-ann linear or four-ann star-shaped PCL polymers and α-CD not only enhances the thermal stability of the vip PCL polymers but also improves that of α-CD. 展开更多
关键词 Inclusion complexes linear poly(ε-caprolactone) Star-shaped poly(ε-caprolactone) Thermal stability.
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A Study on the Linear Piezoelectric Motor of Mode Shape
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作者 Jwo Ming Jou 《Open Journal of Acoustics》 2015年第4期153-171,共19页
In this paper, we want to make a new type linear piezoelectric motor by mode shape coating or effective electrode surface coating. The mode shape is derived from the mechanical boundary conditions of the linear piezoe... In this paper, we want to make a new type linear piezoelectric motor by mode shape coating or effective electrode surface coating. The mode shape is derived from the mechanical boundary conditions of the linear piezoelectric motor. We only have access to the first three modes of formas, the effective electrode surface coating basis, as well as with the linear piezoelectric motor of normal shape do comparison. Next, we will inspect their gain or axial velocity through theoretical analysis, simulation and experiment. According to the results of the theoretical analysis, we have found that the gain or axial velocity of the linear piezoelectric motors of mode shape is much larger than the linear piezoelectric motors of normal shape. However, according to the results of simulation and experiments, we have found that the gain or axial velocity of the linear piezoelectric motors of mode shape is much greater than the linear piezoelectric motors of normal shape, which is about 1.2 to 1.4 times. The linear piezoelectric motor of mode shape 3 has the fastest axial velocity, which is about -48 mm/s and 48 mm/s under conditions of 180 Vp-p driving voltage, 21.2 kHz driving frequency (the third vibration modal), 25 gw loading and the position of loading or mass at x = 5 mm & 45 mm respectively. And its axial velocity is about 1.4 times the linear piezoelectric motor of normal shape under the same conditions. Overall, the mode shape coating helps to enhance the gain or axial velocity of the linear piezoelectric motor. 展开更多
关键词 linear PIEZOELECTRIC Motor (LPM) Mode shape (MS) Normal shape (NS) GAIN AXIAL Velocity
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Piecewise Linear Analysis for Pseudo-elasticity of Shape Memory Alloy (SMA)
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作者 王晓东 杜晓伟 孙国钧 《Journal of Shanghai Jiaotong university(Science)》 EI 2005年第1期48-51,共4页
Based on the Brinson constitutive model of SMA, a piecewise linear model for the hysteresis loop of pseudo-elasticity is proposed and applied in the analysis of responses of an SMA-spring-mass system under initial vel... Based on the Brinson constitutive model of SMA, a piecewise linear model for the hysteresis loop of pseudo-elasticity is proposed and applied in the analysis of responses of an SMA-spring-mass system under initial velocity activation. The histories of displacement and velocity of the mass, and the response of stress of SMA are calculated with Brinson’s model and the piecewise linear model. The difference of results of the two models is not significant. The calculation with piecewise-linear model needs no iteration and is highly efficient. 展开更多
关键词 shape memory alloy(SMA) PSEUDO-ELASTICITY piecewise linear model Brinson's constitutive law
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Linear Shaped Charge Cutting Property and Charge Cutting Mechanism of Mg-Gd-Y-Zn Alloy
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作者 WANG Yanbo ZHOU Haitao +4 位作者 XIAO Lü HOU Xiangwu SUN Xin CHEN Ge DONG Xiwang 《上海航天(中英文)》 CSCD 2022年第1期196-204,共9页
The linear shaped charge cutting technology is an effective technology for aircraft separation.It can separate invalid components from aircrafts timely to achieve light-weight.Magnesium alloy is the lightest metal mat... The linear shaped charge cutting technology is an effective technology for aircraft separation.It can separate invalid components from aircrafts timely to achieve light-weight.Magnesium alloy is the lightest metal material,and can be used to cast effective light-weight components of an aircraft construction.However,the application study of the linear shaped charge cutting technology on magnesium alloy components is basically blank.In response to the demand for the linear separation of magnesium alloys,the Mg-12Gd-0.5Y-0.4Zn alloy is selected to carry out the target shaped charge cutting test.The effects of the shaped charge line density,cutting thickness,and mechanical properties on the cutting performance of the alloy are studied.The shaped charge cutting mechanism is analyzed through the notch structure.The results show that the linear shaped charge cutting performance is significantly affected by the penetration and the collapse.The higher the linear density is,the stronger the ability of the linear shaped charge cutter is,and the greater the penetration depth is,which is advantageous.However,the target structure will be damaged when it is too large(e.g.,4.5 g·m^(-1)).Within 12 mm,when the cutting thickness of the target increases,the penetration depth increases.The lower the tensile strength is,the greater the penetration depth is,and the more conducive the penetration depth to the shaped charge cutting is.When the elongation(EL)increases to 12%,the collapse of the target is incomplete and the target cannot be separated.When the tensile strength of the Mg-Gd-Y-Zn alloy is less than 350 MPa,the EL is less than 6.5%,the cutting thickness is less than 12 mm,and the linear shaped charge cutting of the magnesium alloy can be achieved stably. 展开更多
关键词 shaped charge cutting linear shaped charge cutting mechanism magnesium alloy mechanical properties PENETRATION
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Shaped Insulating Refractory Products——Determination of Permanent Linear Change on Heating
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《China's Refractories》 CAS 2005年第4期38-40,共3页
1 Scope This standard covers the definition, technical requirement, apparatus, specimen, test procedure, calculation and test report on permanent linear change of shaped insulating refractory products.
关键词 Determination of Permanent linear Change on Heating shaped Insulating Refractory Products length
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Dense Shaped Refractory Products——Test Method of Linear Changes on Reheating
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《China's Refractories》 CAS 2006年第2期36-38,共3页
This Standard specifies methods for the determination of the linear changes on reheating of a dense shaped refractory product.
关键词 TEST Test Method of linear Changes on Reheating Dense shaped Refractory Products
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Heat Transfer Analysis of Temperature-Sensitive Ternary Nanofluid in MHD and Porous Media Flow:Influence of Volume Fraction and Shape
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作者 Barkilean Jaismitha Jagadeesan Sasikumar +2 位作者 Samad Noeiaghdam Unai Fernandez-Gamiz Thirugnanasambandam Arunkumar 《Frontiers in Heat and Mass Transfer》 2025年第5期1529-1554,共26页
The present study investigates the dynamic behavior of a ternary-hybrid nanofluid within a tapered asymmetric channel,focusing on the impact of unsteady oscillatory flow under the influence of a magnetic field.This st... The present study investigates the dynamic behavior of a ternary-hybrid nanofluid within a tapered asymmetric channel,focusing on the impact of unsteady oscillatory flow under the influence of a magnetic field.This study addresses temperature-sensitive water transport mechanisms relevant to industrial applications such as thermal management and energy-efficient fluid transport.By suspending nanoparticles of diverse shapes-platelets,blades,and spheres in a hybrid base fluid comprising cobalt ferrite,magnesium oxide,and graphene oxide,the study examines the influence of both small and large volume fraction values.The governing equations are converted into a dimensionless form.With suitable assumptions,the partial differential equations(PDEs)are simplified into ordinary differential equations(ODEs),which are then solved using an analyticalmethod.Theproposed solution is verified using a numerical approach with the BVP4C solver.The analysis yields detailed graphs that depict the behavior of key fluid flow parameters,such as velocity,temperature,concentration,skin friction,Nusselt number,and Sherwood number,within the tapered asymmetric channel. 展开更多
关键词 Heat transfer shape factor ternary nanofluid flow TEMPERATURE-DEPENDENT linear slope regression
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NEW TYPE OF LINEAR ULTRASONIC MOTOR WITH TWO DEGREES OF FREEDOM USING LONGITUDINAL AND BENDING MODE 被引量:2
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作者 李志荣 刘俊标 +1 位作者 黄卫清 赵淳生 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2004年第1期7-12,共6页
A new type of linear ultrasonic motor with two degrees of freedom (DOF) motion is presented. The concept of the new typical motor is based on the combination of a longitudinal and two bending modes. The construction a... A new type of linear ultrasonic motor with two degrees of freedom (DOF) motion is presented. The concept of the new typical motor is based on the combination of a longitudinal and two bending modes. The construction and the operational principle of motor are described, and the elliptical motion of the driving point of the actuator is proved. Meanwhile, a prototype linear motor is designed by using the finite element method (FEM) and is constructed for experiments. The vibration modes are tested with the laser doppler vibrometer (PSV-300F), and the experimental results prove that the design requirements on the mode shape of the actuator and nature frequency are satisfied. The test run of the motor indicates that the operational principle of the motor and the design results are correct, and the output properties are also tested. 展开更多
关键词 ultrasonic motor two DOF motion linear motion elliptical motion mode shape
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多路并联直线型变压器驱动源装置的二维电路模型
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作者 范思源 魏浩 +1 位作者 李鹏超 邱爱慈 《西安交通大学学报》 北大核心 2026年第2期1-10,共10页
为了准确理解多路并联高功率脉冲装置的功率流传输特性并对脉冲源不同步馈电或故障状态时的电参数进行诊断,基于传输线电路编码方法,建立了6路并联直线型变压器驱动源(linear transformer drivers,LTD)脉冲功率装置的二维电路模型,采用... 为了准确理解多路并联高功率脉冲装置的功率流传输特性并对脉冲源不同步馈电或故障状态时的电参数进行诊断,基于传输线电路编码方法,建立了6路并联直线型变压器驱动源(linear transformer drivers,LTD)脉冲功率装置的二维电路模型,采用LTD脉冲源同步馈电和波形调控两种工作模式下的实验结果对模型进行验证。结果表明,与一维电路模型相比,二维电路模型能够更精确地预测装置输出特性,模拟和实验测量的电压或电流峰值相对偏差小于5%,并可对实验中难以直接测量的电场强度和线电流密度的空间分布特性进行分析。沿绝缘堆-磁绝缘传输线(magnetically insulated transmission line,MITL)系统径向向内,电场强度的角向不均匀系数从29%下降到1%,线电流密度的角向不均匀系数从120%下降到2%。在多路LTD脉冲源输出波形调控时,二维电路模型不仅给出了典型触发时序下负载电流波形,并且获得了绝缘堆-MITL系统不同角向位置的电压和电流空间分布。绝缘堆-MITL的电场强度和线电流密度空间分布极不均匀,沿绝缘堆向内,电场角向不均匀系数从319%下降到13%,线电流密度的角向不均匀系数从1330%下降到199%。建立的二维电路模型可用于多路并联LTD装置的波形调控和功率传输特性分析。 展开更多
关键词 直线型变压器驱动源 二维电路模型 传输线电路编码 波形调控 空间分布
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双磁路旋转洛伦兹力磁轴承设计与分析
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作者 庞维坤 王卫杰 +3 位作者 樊亚洪 李磊 杨洋 朱宏业 《北京航空航天大学学报》 北大核心 2026年第1期306-316,共11页
面向复杂航天任务对航天器有效载荷万向敏捷和超精指向性能迫切需求,提出一种洛伦兹力磁悬浮万向稳定平台,开展双磁路旋转洛伦兹力磁轴承设计与分析。采用动圈式转子方案,转子组件4条挂耳形线圈成对绕置并胶装于骨架轴向两侧凹槽内;定... 面向复杂航天任务对航天器有效载荷万向敏捷和超精指向性能迫切需求,提出一种洛伦兹力磁悬浮万向稳定平台,开展双磁路旋转洛伦兹力磁轴承设计与分析。采用动圈式转子方案,转子组件4条挂耳形线圈成对绕置并胶装于骨架轴向两侧凹槽内;定子组件成对平行布设共转轴、双环状轴向充磁磁钢,形成均匀性稳定磁密,为载荷舱敏捷机动提供周向双通道对称工作气隙。基于等效磁路法建立气隙磁密模型,从气隙磁密均匀度和波动率2方面定义磁密线性度,进而开展转子旋转动力学建模,构建旋转力矩模型。运用Maxwell有限元法建立旋转磁轴承有限元模型,并进行算例仿真,结果表明:所述旋转磁轴承方案气隙旋转包络中心位置处磁密可达685.624 mT,周向磁密均匀度为99.72%,大幅改善气隙磁密均匀性,避免了径向充磁式方案气隙磁密衰减和纵向磁场扩散的局限,有效提升载荷舱旋转状态下的稳定度和指向精度。 展开更多
关键词 轴向充磁 扇形磁钢环 动圈式转子 磁密线性度 等效磁路法 有限元分析
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Shielding Effectiveness of Rural Concealed Communication Cable of Asymmetric/Symmetric Slots with Different Shapes
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作者 帅春江 《Agricultural Science & Technology》 CAS 2012年第8期1781-1783,共3页
With the rural concealed communication cable as the study object, the shielding effectiveness of different slot shapes was analyzed by using LBEM (linear boundary element method). The engineering example results sho... With the rural concealed communication cable as the study object, the shielding effectiveness of different slot shapes was analyzed by using LBEM (linear boundary element method). The engineering example results showed that for twocore shielded cable, the coupling capacitance of trapezoid slots (asymmetric and symmetric) changed the most, followed by rectangular slots (asymmetric and symmetric), and the changes of wedge slots were the smallest, but the change tenden- cies were consistent. In addition, with the increase of slot width of different slots, the coupling capacitance of tow-cored shielded cable showed small change. 展开更多
关键词 Rural concealed communication cable Slot with asymmetric and symmetric shapes Coupling capacitance linear boundary element method (LBEM)
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Characterizing Placental Surface Shape with a High-Dimensional Shape Descriptor
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作者 Jen-Mei Chang Amy Mulgrew Carolyn Salafia 《Applied Mathematics》 2012年第9期954-968,共15页
The human placenta nourishes the growing fetus during pregnancy. The newly developing field of placenta analysis seeks to understand relationships between the health of a placenta and the health of the baby. Previous ... The human placenta nourishes the growing fetus during pregnancy. The newly developing field of placenta analysis seeks to understand relationships between the health of a placenta and the health of the baby. Previous studies have shown that the median placental chorionic shape at term is round, and deviation from such prototypical shape is related to a decreased placental functional efficiency. In this study, we propose the use of a nearly-continuous shape descriptor termed signed deviation vector to systematically study the relationship between various maternal and fetal characteristics and the shape of the placental surface. The proposed shape descriptor measures the amount of deviation along with the direction of the deviation a placental shape has away from the shape of normality. Using Linear Discriminant Analysis, we can independently examine how much of the placental shape is affected by maternal, newborn, and placental characteristics. The results allow us to understand how significantly various maternal and fetal conditions affect the overall shape of the placenta growth. Though the current study is largely exploratory, the initial findings indicate significant relationships between shape of the placental surface and newborn’s birth weight as well as their gestational age. 展开更多
关键词 SIGNED Deviation Vector PLACENTA shape ANALYSIS linear DISCRIMINANT ANALYSIS Principal Component ANALYSIS
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ESTIMATES OF LINEAR RELATIVE n-WIDTHS IN L^p [0,1]
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作者 Sergei P.Sidorov 《Analysis in Theory and Applications》 2012年第1期38-48,共11页
In this paper we will show that if an approximation process {Ln}n∈N is shape- preserving relative to the cone of all k-times differentiable functions with non-negative k-th derivative on [0,1], and the operators Ln a... In this paper we will show that if an approximation process {Ln}n∈N is shape- preserving relative to the cone of all k-times differentiable functions with non-negative k-th derivative on [0,1], and the operators Ln are assumed to be of finite rank n, then the order of convergence of D^kLnf to D^kf cannot be better than n-2 even for the functions x^k, x^k+1, x^k+2 on any subset of [0,1 ] with positive measure. Taking into account this fact, we will be able to find some asymptotic estimates of linear relative n-width of sets of differentiable functions in the space LP[0, 1], p ∈ N. 展开更多
关键词 shape preserving approximation linear n-width
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Regression Analysis of a Kind of Trapezoidal Fuzzy Numbers Based on a Shape Preserving Operator
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作者 Jie Sun Qiujun Lu 《Journal of Data Analysis and Information Processing》 2017年第3期96-114,共19页
Fuzzy regression provides more approaches for us to deal with imprecise or vague problems. Traditional fuzzy regression is established on triangular fuzzy numbers, which can be represented by trapezoidal numbers. The ... Fuzzy regression provides more approaches for us to deal with imprecise or vague problems. Traditional fuzzy regression is established on triangular fuzzy numbers, which can be represented by trapezoidal numbers. The independent variables, coefficients of independent variables and dependent variable in the regression model are fuzzy numbers in different times and TW, the shape preserving operator, is the only T-norm which induces a shape preserving multiplication of LL-type of fuzzy numbers. So, in this paper, we propose a new fuzzy regression model based on LL-type of trapezoidal fuzzy numbers and TW. Firstly, we introduce the basic fuzzy set theories, the basic arithmetic propositions of the shape preserving operator and a new distance measure between trapezoidal numbers. Secondly, we investigate the specific model algorithms for FIFCFO model (fuzzy input-fuzzy coefficient-fuzzy output model) and introduce three advantages of fit criteria, Error Index, Similarity Measure and Distance Criterion. Thirdly, we use a design set and two reference sets to make a comparison between our proposed model and the reference models and determine their goodness with the above three criteria. Finally, we draw the conclusion that our proposed model is reasonable and has better prediction accuracy, but short of robust, comparing to the reference models by the three goodness of fit criteria. So, we can expand our traditional fuzzy regression model to our proposed new model. 展开更多
关键词 FUZZY Sets LL-Type of Trapezoidal FUZZY NUMBERS LEAST-SQUARES DEVIATIONS shape Preserving OPERATOR FUZZY linear Regression
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An Optimal Shape Design Problem for Fan Noise Reduction
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作者 Bahram Farhadinia 《Journal of Software Engineering and Applications》 2010年第6期610-613,共4页
The objective of the present article is to find an optimal design of a fan inlet to reduce the amount of noise radiated to the far field from the system. Against the gradient-based optimization algorithms, we employ h... The objective of the present article is to find an optimal design of a fan inlet to reduce the amount of noise radiated to the far field from the system. Against the gradient-based optimization algorithms, we employ here a method based on measure theory which does not require any information of gradients and the differentiability of cost function. 展开更多
关键词 shape Optimization Noise RADIATION MEASURE Theory linear PROGRAMMING
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Modification of the Recovery Behavior of TiNi Shape Memory Alloy(SMA)by Chemical Heat Treatment
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作者 WANGGao-chao YANGGang HUANGYi-bin MINSi-lin 《材料热处理学报》 EI CAS CSCD 北大核心 2004年第5期122-125,共4页
In order to improve the linear recovery behavior, TiNi shape memory alloy springs were samariumed at 550°C for 4 hours with SmH3 as samarium source, in a vacuum furnace. The phase of samariumed layer was determin... In order to improve the linear recovery behavior, TiNi shape memory alloy springs were samariumed at 550°C for 4 hours with SmH3 as samarium source, in a vacuum furnace. The phase of samariumed layer was determined by X-ray diffractometer (XRD). The fracture surface of TiNi SMA spring was investigated by scanning electronic microscope (SEM). The experimental results indicate that a thick samariumed layer composed of NiSm intermetallics existed on the fracture surface. Additionally, a new idea of linear recovery behavior in shape memory alloy (SMA) has been proposed, and its properties have been defined. The reversion measurements show that the linear recovery properties of TiNi SMA were obviously improved. The temperature range of the linear reversion (Tw) was enlarged from 4°C to 8’C, The ratio of linear reversion was increased from 54% to 75%, the proportion of linear reversion (PL) was increased from 56% to 70%, and the proportion of non-linear reversion (Ps) was decreased from 44% to 10%, but the proportion of total reversion (PT) has a little decrease. These results were attributed to the strengthening effect of NiSm intermetallics. 展开更多
关键词 TINI形状记忆合金 化学热处理 线性反转
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线性变换视角下椭圆面积的计算
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作者 雍龙泉 陈怡佳 +1 位作者 李清华 刘三阳 《陕西理工大学学报(自然科学版)》 2025年第4期92-97,共6页
单位圆经过非退化的线性变换后得到椭圆。提出了此类椭圆面积的计算问题,从代数角度给出了椭圆面积的计算公式,进而研究了椭圆面积与单位圆面积之间的关系。旨在建立代数与几何的统一,践行数形结合的数学思想与方法。
关键词 单位圆 线性变换 椭圆 面积 数形结合
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