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Multi-objective strategy to optimize dithering technique for high-quality three-dimensional shape measurement 被引量:2
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作者 Ning Cai Zhe-Bo Chen +1 位作者 Xiang-Qun Cao Bin Lin 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第10期381-386,共6页
Dithering optimization techniques can be divided into the phase-optimized technique and the intensity-optimized technique. The problem with the former is the poor sensitivity to various defocusing amounts, and the pro... Dithering optimization techniques can be divided into the phase-optimized technique and the intensity-optimized technique. The problem with the former is the poor sensitivity to various defocusing amounts, and the problem with the latter is that it cannot enhance phase quality directly nor efficiently. In this paper, we present a multi-objective optimization framework for three-dimensional(3D) measurement by utilizing binary defocusing technique. Moreover, a binary patch optimization technique is used to solve the time-consuming issue of genetic algorithm. It is demonstrated that the presented technique consistently obtains significant phase performance improvement under various defocusing amounts. 展开更多
关键词 three-dimensional(3D) shape measurement MULTI-OBJECTIVE dithering GENETIC algorithm
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Interactions of penny-shaped cracks in three-dimensional solids 被引量:2
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作者 Shige Zhan Tzuchiang Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第4期341-353,共13页
The interaction of arbitrarily distributed penny-shaped cracks in three-dimensional solids is analyzed in this paper. Using oblate spheroidal coordinates and displacement functions, an analytic method is devel- oped i... The interaction of arbitrarily distributed penny-shaped cracks in three-dimensional solids is analyzed in this paper. Using oblate spheroidal coordinates and displacement functions, an analytic method is devel- oped in which the opening and the sliding displacements on each crack surface are taken as the basic unknown functions. The basic unknown functions can be expanded in series of Legendre polynomials with unknown coefficients. Based on superposition technique, a set of governing equations for the unknown coefficients are formulated from the traction free conditions on each crack surface. The boundary collocation procedure and the average method for crack-surface tractions are used for solving the governing equations. The solution can be obtained for quite closely located cracks. Numerical examples are given for several crack problems. By comparing the present results with other existing results, one can conclude that the present method provides a direct and efficient approach to deal with three-dimensional solids containing multiple cracks. 展开更多
关键词 Three-dimensional problem Penny-shaped cracks INTERACTION
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Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point 被引量:1
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作者 孙常春 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第9期133-137,共5页
A new three-dimensional (3D) continuous autonomous system with one parameter and three quadratic terms is presented firstly in this paper. Countless embedded trumpet-shaped chaotic attractors in two opposite directi... A new three-dimensional (3D) continuous autonomous system with one parameter and three quadratic terms is presented firstly in this paper. Countless embedded trumpet-shaped chaotic attractors in two opposite directions are generated from the system as time goes on. The basic dynamical behaviors of the strange chaotic system are investigated. Another more complex 3D system with the same capability of generating countless embedded trumpet-shaped chaotic attractors is also put forward. 展开更多
关键词 three-dimensional system trumpet-shaped chaotic attractor equilibrium point
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A method for phase reconstruction in optical three-dimensional shape measurement
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作者 乔闹生 贺志 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期267-270,共4页
In optical three-dimensional shape measurement, a method of improving the measurement precision for phase reconstruction without phase unwrapping is analyzed in detail. Intensities of any five consecutive pixels that ... In optical three-dimensional shape measurement, a method of improving the measurement precision for phase reconstruction without phase unwrapping is analyzed in detail. Intensities of any five consecutive pixels that lie in the x-axis direction of the phase domain are given. Partial derivatives of the phase function in the x- and y-axis directions are obtained with a phase-shifting mechanism, the origin of which is analysed. Furthermore, to avoid phase unwrapping in the phase reconstruction, we derive the gradient of the phase function and perform a two-dimensional integral along the x- and y-axis directions. The reconstructed phase can be obtained directly by performing numerical integration, and thus it is of great convenience for phase reconstruction. Finally, the results of numerical simulations and practical experiments verify the correctness of the proposed method. 展开更多
关键词 phase reconstruction optical three-dimensional shape measurement measurement pre-cision
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Modified shape-based method for three-dimensional trajectory design
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作者 程兴 史晓宁 崔乃刚 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2012年第2期1-4,共4页
Although the shape-based method has been proven to be useful for low-thrust trajectory design,and be capable to provide near-optimal solution for a more accurate trajectory optimization method,it is slightly non-effec... Although the shape-based method has been proven to be useful for low-thrust trajectory design,and be capable to provide near-optimal solution for a more accurate trajectory optimization method,it is slightly non-effective when used in some 3D cases.In this paper,a modified 3D shape-based method is proposed for earth trajectory design.In this approach,in consideration of the sinusoidal periodic variation in z direction of actual trajectory,a new exponential sinusoid model is chosen for the out-of-plane motion,with four coefficients such that four scalar out-of-plane boundary conditions can be satisfied.After deriving the 3D shape-based procedure,low-thrust trajectory design example with modest inclination change is given.The results demonstrate that this modified approach is feasible for the transfer trajectory design,and comparing to the former shape-based method,the z direction solution is more coincident with the actual situation,furthermore,the solution may be used for further mission planning,trajectory evaluation and optimization. 展开更多
关键词 modified shape-based three dimensional LOW-THRUST trajectory design
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ANN Based Predictive Modelling of Weld Shape and Dimensions in Laser Welding of Galvanized Steel in Butt Joint Configurations 被引量:1
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作者 Laurent Jacques Abderrazak El Ouafi 《Journal of Minerals and Materials Characterization and Engineering》 2018年第3期316-332,共17页
The quality assessment and prediction becomes one of the most critical requirements for improving reliability, efficiency and safety of laser welding. Accurate and efficient model to perform non-destructive quality es... The quality assessment and prediction becomes one of the most critical requirements for improving reliability, efficiency and safety of laser welding. Accurate and efficient model to perform non-destructive quality estimation is an essential part of this assessment. This paper presents a structured and comprehensive approach developed to design an effective artificial neural network based model for weld bead geometry prediction and control in laser welding of galvanized steel in butt joint configurations. The proposed approach examines laser welding parameters and conditions known to have an influence on geometric characteristics of the welds and builds a weld quality prediction model step by step. The modelling procedure begins by examining, through structured experimental investigations and exhaustive 3D modelling and simulation efforts, the direct and the interaction effects of laser welding parameters such as laser power, welding speed, fibre diameter and gap, on the weld bead geometry (i.e. depth of penetration and bead width). Using these results and various statistical tools, various neural network based prediction models are developed and evaluated. The results demonstrate that the proposed approach can effectively lead to a consistent model able to accurately and reliably provide an appropriate prediction of weld bead geometry under variable welding conditions. 展开更多
关键词 Laser Welding Predictive MODELING WELD shape WELD dimensionS Artificial Neural Networks 3D MODELING Finite Element Method Design of Experiments Analysis of Variance
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Prediction of Weld Joint Shape and Dimensions in Laser Welding Using a 3D Modeling and Experimental Validation 被引量:1
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作者 Laurent Jacques Abderrazak El Ouafi 《Materials Sciences and Applications》 2017年第11期757-773,共17页
This paper presents an experimentally validated weld joint shape and dimensions predictive 3D modeling for low carbon galvanized steel in butt-joint configurations. The proposed modelling approach is based on metallur... This paper presents an experimentally validated weld joint shape and dimensions predictive 3D modeling for low carbon galvanized steel in butt-joint configurations. The proposed modelling approach is based on metallurgical transformations using temperature dependent material properties and the enthalpy method. Conduction and keyhole modes welding are investigated using surface and volumetric heat sources, respectively. Transition between the heat sources is carried out according to the power density and interaction time. Simulations are carried out using 3D finite element model on commercial software. The simulation results of the weld shape and dimensions are validated using a structured experimental investigation based on Taguchi method. Experimental validation conducted on a 3 kW Nd: YAG laser source reveals that the modelling approach can provide not only a consistent and accurate prediction of the weld characteristics under variable welding parameters and conditions but also a comprehensive and quantitative analysis of process parameters effects. The results show great concordance between predicted and measured values for the weld joint shape and dimensions. 展开更多
关键词 Laser Welding Finite Element Method 3D MODELING Numerical Simulation WELD shape WELD dimensionS PREDICTIVE MODELING
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Introduction and Analysis of Three-Dimensional Modern Modeling and Design Method 被引量:1
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作者 YANG Guang-hui LIU Zi-ping +1 位作者 LI Li-xin Yang Hao 《Computer Aided Drafting,Design and Manufacturing》 2015年第2期54-59,共6页
In order to overcome many problems and shortcomings of our three-dimensional design education in mechanical drawing, make the students master the modem design method and technology easily, modem modeling method and sh... In order to overcome many problems and shortcomings of our three-dimensional design education in mechanical drawing, make the students master the modem design method and technology easily, modem modeling method and shaping method are introduced, and the shaping designing methods of assembled-body are analyzed including basic requirements for shaping design, common principles of shaping and shaping design method. It will be helpful to improve the spatial imagination and modelling ability of student. 展开更多
关键词 shaping method three dimension mechanical drawing spatial imagination
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Force-displacement characteristics of simply supported beam laminated with shape memory alloys 被引量:4
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作者 Zhi-Qiang Wu Zhen-Hua Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第6期1065-1070,共6页
As a preliminary step in the nonlinear design of shape memory alloy(SMA) composite structures,the force-displacement characteristics of the SMA layer are studied.The bilinear hysteretic model is adopted to describe ... As a preliminary step in the nonlinear design of shape memory alloy(SMA) composite structures,the force-displacement characteristics of the SMA layer are studied.The bilinear hysteretic model is adopted to describe the constitutive relationship of SMA material.Under the assumption that there is no point of SMA layer finishing martensitic phase transformation during the loading and unloading process,the generalized restoring force generated by SMA layer is deduced for the case that the simply supported beam vibrates in its first mode.The generalized force is expressed as piecewise-nonlinear hysteretic function of the beam transverse displacement.Furthermore the energy dissipated by SMA layer during one period is obtained by integration,then its dependencies are discussed on the vibration amplitude and the SMA's strain(Ms-Strain) value at the beginning of martensitic phase transformation.It is shown that SMA's energy dissipating capacity is proportional to the stiffness difference of bilinear model and nonlinearly dependent on Ms-Strain.The increasing rate of the dissipating capacity gradually reduces with the amplitude increasing.The condition corresponding to the maximum dissipating capacity is deduced for given value of the vibration amplitude.The obtained results are helpful for designing beams laminated with shape memory alloys. 展开更多
关键词 shape memory alloy Laminated beam Bilinear hysteretic model Force-displacement characteristics - Energy dissipation
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Roll System and Stock's Multi-parameter Coupling Dynamic Modeling Based on the Shape Control of Steel Strip 被引量:3
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作者 Yang ZHANG Yan PENG +1 位作者 Jianliang SUN Yong ZANG 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第3期614-624,共11页
The existence of rolling deformation area in the rolling mill system is the main characteristic which dis- tinguishes the other machinery. In order to analyze the dynamic property of roll system's flexural deformatio... The existence of rolling deformation area in the rolling mill system is the main characteristic which dis- tinguishes the other machinery. In order to analyze the dynamic property of roll system's flexural deformation, it is necessary to consider the transverse periodic movement of stock in the rolling deformation area which is caused by the flexural deformation movement of roll system simul- taneously. Therefore, the displacement field of roll system and flow of metal in the deformation area is described by kinematic analysis in the dynamic system. Through intro- ducing the lateral displacement function of metal in the deformation area, the dynamic variation of per unit width rolling force can be determined at the same time. Then the coupling law caused by the co-effect of rigid movement and flexural deformation of the system structural elements is determined. Furthermore, a multi-parameter coupling dynamic model of the roll system and stock is established by the principle of virtual work. More explicitly, the cou- pled motion modal analysis was made for the roll system. Meanwhile, the analytical solutions for the flexural defor- mation movement's mode shape functions of rolls are discussed. In addition, the dynamic characteristic of the lateral flow of metal in the rolling deformation area has been analyzed at the same time. The establishment ofdynamic lateral displacement function of metal in the deformation area makes the foundation for analyzing the coupling law between roll system and rolling deformation area, and provides a theoretical basis for the realization of the dynamic shape control of steel strip. 展开更多
关键词 Roll system Rolling deformation area Coupling dynamic model Mode shape function - Lateraldisplacement function
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利用Alpha-shape算法进行树冠三维模型构建 被引量:12
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作者 李庆 高祥伟 +4 位作者 费鲜芸 张红 王健 崔云健 李彬 《测绘通报》 CSCD 北大核心 2018年第12期91-95,共5页
为了研究树冠三维模型的构建,以常用绿化树种榉树为样本,通过三维激光扫描技术获取点云数据,运用alpha-shape算法进行树冠三维模型构建,并通过调整其α参数,得到不同的三维模型构建效果。结果表明,当参数α取值较大时,构建的三维模型较... 为了研究树冠三维模型的构建,以常用绿化树种榉树为样本,通过三维激光扫描技术获取点云数据,运用alpha-shape算法进行树冠三维模型构建,并通过调整其α参数,得到不同的三维模型构建效果。结果表明,当参数α取值较大时,构建的三维模型较综合,树冠内部变化无法描述;随着α值的减少,构建的三维模型越来越精细,当减少到一定值时,得到的图形是一些离散的面片,重建结果不完整,不能形成树木模型。利用alpha-shape算法构建的树冠三维模型能够反映出树冠的不同空间形态特征,可作为计算冠层结构参数的基础和依据,深入研究可进一步计算相关结构参数。 展开更多
关键词 点云数据 树冠三维模型 三维重建 alpha-shape 三维激光扫描技术
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Fractal Features and Computer Simulation of Fan-Shaped Sedimentary Bodies in Faulted Basins
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作者 Zhou Jiangyu Guangzhou Institute of Geochemistry, Chinese Academy of Sciences, Guangzhou 510640 Wu Chonglong Faculty of Earth Resources, China University of Geosciences, Wuhan 430074 《Journal of Earth Science》 SCIE CAS CSCD 1998年第3期50-51,共2页
Fan-shapedsedimentarybodiesarethosemainlycom-posedofterigenouscoarsedepositsandbeingfan-shapedinmorphology,i... Fan-shapedsedimentarybodiesarethosemainlycom-posedofterigenouscoarsedepositsandbeingfan-shapedinmorphology,includingaluvialfa... 展开更多
关键词 fan shaped sedimentary body nonlinear dynamics FRACTAL fractal dimension KRIGING numerical simulation fault basin.
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FRACTAL DIMENSION AS MORPHOLOGY AND SIZE PARAMETERS OF FRACTURED PARTICLES OF ROCK
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作者 Li, Gonbo Xu, Xiaohe Northeast University of Technology, Shenyang 110006, China 《中国有色金属学会会刊:英文版》 CSCD 1993年第1期6-9,共4页
Semi-automatic image analysis system was used for the surface fractal dimension measurement of 15 kinds of rock-fractured particles. The results indicate that the surfaces of the particles that have a size of about 20... Semi-automatic image analysis system was used for the surface fractal dimension measurement of 15 kinds of rock-fractured particles. The results indicate that the surfaces of the particles that have a size of about 200 mesh are fractal, and that the fractal dimension is in the range of 2.07~2.11. Therefore, some definitions of particle size such as surface diameter, equivalent volumetricly surface diameter are equivocal without giving the step length and the drag diameter, free-fall diameter, and stokes’diameter may be modified by the fractal dimension. 展开更多
关键词 rock-fractured PARTICLE FRACTAL dimension image analysis PARTICLE SIZE PARTICLE shape
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Constitutive Laws for Visco-plastic Porous Medium Shaped by Regularly Distributed Circular Particles
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作者 Yunzhu Cai Huaicui Li 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2016年第6期1-8,共8页
A numerical study is presented,using a homogenization technique to consider the plain strain problem of visco-plastic porous medium shaped by regularly distributed circular particles. Based on a rigid plastic material... A numerical study is presented,using a homogenization technique to consider the plain strain problem of visco-plastic porous medium shaped by regularly distributed circular particles. Based on a rigid plastic material,the paper derives the macroscopic constitutive laws for homogenous equivalent medium. By changing the shape parameter of circular particles,the effect of pore shape on macroscopic constitutive laws is explored. Yield surfaces with different pore shapes are obtained. About voids,a two-scale conception is introduced,which regards main void as macroscopic scale and secondary cavities as microscopic scale. The macroscopic potential involving main and secondary voids is achieved. The proposed macroscopic constitutive law taking microscopic features as influence factors is helpful for exploring the macroscopic mechanical properties of porous medium when numerical simulation is required. 展开更多
关键词 porous medium visco-plastic material macroscopic constitutive law-s pore shape two-scale voidsCLC number: TB303 Document code A Article ID 1005-9113(2016)06-0001-08
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基于单-多视图优化的足球球员三维姿态和体型估计
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作者 谢欢 刘纯平 季怡 《计算机工程》 CAS CSCD 北大核心 2024年第3期200-207,共8页
足球比赛场景的三维重建有助于观众自由切换视角,增加了互动性和沉浸感。针对足球比赛场景中的足球球员,提出一种三维姿态和体型估计方法。对球员的多视图图像使用训练好的部分注意力回归的三维人体估计(PARE)模型生成初始的三维姿态和... 足球比赛场景的三维重建有助于观众自由切换视角,增加了互动性和沉浸感。针对足球比赛场景中的足球球员,提出一种三维姿态和体型估计方法。对球员的多视图图像使用训练好的部分注意力回归的三维人体估计(PARE)模型生成初始的三维姿态和体型估计,并使用人工标注的二维关节点作为优化目标。单-多视图优化操作利用蒙皮多人线性模型(SMPL)和正交投影的可微性,将球员的三维姿态和体型参数映射到二维关节点,计算其与人工标注之间的差异,再使用神经网络的反向传播算法更新三维姿态和体型参数,持续这些过程直到差异最小化。在自建的足球球员多视图数据集上的实验结果表明,该方法能够有效估计足球球员的三维姿态和体型,与人体网格恢复、在循环中优化SMPL、PARE等方法相比,二维关节点精度在单视图上提高了9.2%~37.5%,在多视图交叉验证中提高了34.9%~54.1%。 展开更多
关键词 三维姿态和体型估计 参数化人体模型 -多视图优化 反向传播 蒙皮多人线性模型
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Wire-Shaped 3D-Hybrid Supercapacitors as Substitutes for Batteries
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作者 Kyeong‑Nam Kang Ananthakumar Ramadoss +4 位作者 Jin‑Wook Min Jong‑Chul Yoon Deokjung Lee Seok Ju Kang Ji‑Hyun Jang 《Nano-Micro Letters》 SCIE EI CAS CSCD 2020年第2期211-223,共13页
We report a wire-shaped three-dimensional(3D)-hybrid supercapacitor with high volumetric capacitance and high energy density due to an interconnected 3D-configuration of the electrode allowing for large number of elec... We report a wire-shaped three-dimensional(3D)-hybrid supercapacitor with high volumetric capacitance and high energy density due to an interconnected 3D-configuration of the electrode allowing for large number of electrochemical active sites,easy access of electrolyte ions,and facile charge transport for flexible wearable applications.The interconnected and compact electrode delivers a high volumetric capacitance(gravimetric capacitance)of 73 F cm−3(2446 F g−1),excellent rate capability,and cycle stability.The 3D-nickel cobalt-layered double hydroxide onto 3D-nickel wire(NiCo LDH/3D-Ni)//the 3D-manganese oxide onto 3D-nickel wire(Mn3O4/3D-Ni)hybrid supercapacitor exhibits energy density of 153.3 Wh kg−1 and power density of 8810 W kg−1.The red lightemitting diode powered by the as-prepared hybrid supercapacitor can operate for 80 min after being charged for tens of seconds and exhibit excellent electrochemical stability under various deformation conditions.The results verify that such wire-shaped 3D-hybrid supercapacitors are promising alternatives for batteries with long charge–discharge times,for smart wearable and implantable devices. 展开更多
关键词 Three-dimensional(3D)metal current collector Flexible hybrid supercapacitor Wire-shaped supercapacitor High energy density device Fast charging energy storage system
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基于自适应多目标果蝇算法的3D-U型智能制造单元设施布置 被引量:4
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作者 赵晏林 鲁建厦 +1 位作者 闫青 许丽丽 《计算机集成制造系统》 EI CSCD 北大核心 2020年第10期2743-2752,共10页
目前离散型智能工厂已成为智能制造的研究热点之一,智能制造单元作为其重要组成部分也受到广泛关注。针对加工产品种类繁多,设施量大的智能制造单元布置,提出一种立体U型(3D-U)智能制造单元,建立了物流搬运距离最短和单元高度最低的双... 目前离散型智能工厂已成为智能制造的研究热点之一,智能制造单元作为其重要组成部分也受到广泛关注。针对加工产品种类繁多,设施量大的智能制造单元布置,提出一种立体U型(3D-U)智能制造单元,建立了物流搬运距离最短和单元高度最低的双目标函数,并明确了约束条件。在已有算法研究的基础上,提出了自适应多目标果蝇算法求解3D-U型智能制造单元的设施布置问题,将快速非支配排序用于多目标的食物浓度计算,设计了自适应的嗅觉搜索和视觉搜索,并对飞行策略采用摄动操作来保证种群的多样性。通过算例分析表明自适应多目标果蝇算法在求解3D-U型智能制造单元的设施布置问题时,在种群多样性、寻优能力、稳定性等方面表现优异。 展开更多
关键词 智能制造单元 立体U型制造 自适应果蝇算法 多目标果蝇算法 智能工厂
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形状记忆合金-摩擦三维隔振体系地震响应分析 被引量:1
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作者 张振华 白洁 +1 位作者 王钦亭 绳飘 《河南理工大学学报(自然科学版)》 CAS 北大核心 2017年第5期106-112,共7页
为研究近场强震下结构的地震响应,构造了水平向和垂向弹性解耦的形状记忆合金-摩擦三维隔振器(3DSMAFBI),并采用Newmark法和修正的Newton-Raphson迭代法对地震作用下隔振结构层间动力学模型进行求解。地震响应的数值研究结果表明:当垂... 为研究近场强震下结构的地震响应,构造了水平向和垂向弹性解耦的形状记忆合金-摩擦三维隔振器(3DSMAFBI),并采用Newmark法和修正的Newton-Raphson迭代法对地震作用下隔振结构层间动力学模型进行求解。地震响应的数值研究结果表明:当垂向和水平向地震波加速度峰值相近时,有、无垂向地震作用时被控结构隔振层力-位移关系差别较大;上部结构垂向自振周期增加时,结构的基底轴力和剪力显著减小,而上部结构水平向位移峰值无显著变化。通过结构参数化研究,确定了三维隔振结构参数,并比较了无隔振、SMA-摩擦水平向隔振和三维隔振时结构的地震响应,证明了SMA-摩擦三维隔振器能对水平向和垂向的结构起到良好的隔振作用。 展开更多
关键词 三维隔振体系 形状记忆合金 摩擦 地震响应
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新型三维SMA-滚球自复位隔震支座的理论设计 被引量:1
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作者 孙晓东 隋杰英 章蓉 《工程建设》 2014年第1期5-9,共5页
提出一种新型三维SMA-滚球自复位隔震支座,该新型隔震支座集合了形状记忆合金的形状记忆效应和超弹性效应、碟形弹簧的竖向减震耗能性能、滚球的水平隔震性能、凹形板的自复位性能等优点,描述了新型隔震支座的设计理论,并结合工程实例... 提出一种新型三维SMA-滚球自复位隔震支座,该新型隔震支座集合了形状记忆合金的形状记忆效应和超弹性效应、碟形弹簧的竖向减震耗能性能、滚球的水平隔震性能、凹形板的自复位性能等优点,描述了新型隔震支座的设计理论,并结合工程实例设计出一款支座,用ANSYS有限元软件模拟分析,证明了该新型隔震支座具有良好的隔震效果。 展开更多
关键词 SMA-滚球 隔震支座 三维隔震 形状记忆合金 碟形弹簧
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GB/T709-2006热轧钢板和钢带的尺寸、外形、重量及允许偏差标准解读 被引量:3
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作者 王晓虎 董莉 唐一凡 《冶金标准化与质量》 2007年第4期1-3,11,共4页
介绍了GB/T709-2006热轧钢板和钢带的尺寸、外形、重量及允许偏差的编制情况,分析了GB/T709-2006主要技术内容变化的原因,并对新标准的实施前景进行了展望。
关键词 热轧钢板和钢带 尺寸 外形 标准
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