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画法几何中平面法线作图法的应用 被引量:1
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作者 张淑荣 《齐齐哈尔大学学报(自然科学版)》 1998年第1期71-74,共4页
本文讨论了平面法线的一些特性,利用这些特性可解决画法几何中有关平面问题中的所有作图,从而找到了另一种作图方法。
关键词 平面法线 作图方法 画法几何 几何
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电流平面法线与轴线夹角为α时的无限长螺线管磁场
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作者 周培德 杨一军 《淮北煤师院学报(自然科学版)》 1992年第2期51-54,共4页
本文利用毕奥一萨伐尔定律和叠加原理,对电流流向不完全与螺线管轴线垂直的螺线管磁场做出定量计算和讨论.
关键词 螺线管 磁场 电流 平面法线
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画法几何中法线平面的一些性质
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作者 李海泉 《北京联合大学学报》 CAS 1996年第2期51-58,共8页
论述法线平面的一些性质。用法线和法线平面确定空间平面位置的方法,将复杂的空间几何问题简化为平面几何问题。通过法线的法足、法迹和最大斜度线的线迹,使画法几何中有关平面的问题在法线平面体系中均可得到解决。结果表明,它在解... 论述法线平面的一些性质。用法线和法线平面确定空间平面位置的方法,将复杂的空间几何问题简化为平面几何问题。通过法线的法足、法迹和最大斜度线的线迹,使画法几何中有关平面的问题在法线平面体系中均可得到解决。结果表明,它在解决度量问题和定位问题时,方法直观、简捷,有实际应用价值。 展开更多
关键词 法线 法线平面 最大斜度线 画法几何
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光照曲面的外法线调整算法研究
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作者 宋广军 丁春欣 赵鑫 《齐齐哈尔大学学报(自然科学版)》 2006年第1期34-37,共4页
论述了一种基于消隐算法及其数据结构的样条曲面光照处理方法。同时提出确定曲面外法线的一种行之有效的判定准则,这种判定准则根据视线与光源的关系来确定平面外法线的方向。该算法运算简单、计算量小。实验证明该算法的有效性。
关键词 消隐算法 光照模型 Beta样条曲面 平面法线
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Influence of heat loss through probe electrical leads on thermal conductivity measurement with TPS method 被引量:3
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作者 WANG Yu-wei LI Yan-ning 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2018年第1期9-15,共7页
The transient plane source(TPS)method is developed recently to measure the thermal conductivity of materials.In the measurement,the heating power is influenced by the heat which is transferred via the probe electrical... The transient plane source(TPS)method is developed recently to measure the thermal conductivity of materials.In the measurement,the heating power is influenced by the heat which is transferred via the probe electrical leads.This fact further influences the measurement accuracy of thermal conductivity.To solve this problem,the influence of heat loss through the electrical leads on the heating power is studied theoretically.The mathematical formula of heat loss is deduced,and the corresponding correction model is presented.A series of measurement experiments on different materials have been conducted by using the hot disk thermal constant analyzer.The results show that the influence of the heat loss on the measurement is sensitive to different test materials and probes with different sizes.When the thermal conductivity of the material is greater than 0.2 W/(m·K),the influence of the heat loss is less than 0.16%,which can be ignored.As to the lower thermal conductivity materials,it is necessary to compensate the heat loss through the electrical leads,and the accuracy of thermal conductivity measurement can be effectively improved. 展开更多
关键词 transient plane source(TPS)method thermal conductivity heat loss through electrical leads heating power
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A Locking-free Nonconforming Finite Element for Planar Linear Elasticity 被引量:1
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作者 ZHA O Zhong-jian ZHANG Guan-yu CHEN Shao-chun 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期211-218,共8页
We propose a locking-free nonconforming finite element method to solve for the displacement variation in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is r... We propose a locking-free nonconforming finite element method to solve for the displacement variation in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is robust and optimal, in the sense that the convergence estimate in the energy is independent of the Lame parameter λ. 展开更多
关键词 nonconforming finite element method planar elasticity the optimal error estimates
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Directions of Arrival Optimization Method for Broadband Antenna Array Based on Filter Bank 被引量:1
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作者 Ying Liu Chi Xie 《China Communications》 SCIE CSCD 2018年第11期1-9,共9页
This paper proposes an estimation method of the directions of arrival(DOA) for the broadband signals received by a uniform planar antenna array including the mutual coupling effect. The process modeling of antenna arr... This paper proposes an estimation method of the directions of arrival(DOA) for the broadband signals received by a uniform planar antenna array including the mutual coupling effect. The process modeling of antenna array receiving dynamic signal is obtained accurately via building the array system electromagnetic space-time model, and the mutual coupling effect is included in the synthesis procedure automatically. The broadband signal is divided into several sub-bands, and the complex weight of these sub-bands frequencies is figured out using the least mean square iteration programming. In the proposed method, the mutual coupling effect is compensated at the different frequencies. The calculation results show that the method is suitable for the uniform linear and uniform circular array pattern integration, and it is commendably satisfied with the requirement of engineering design. 展开更多
关键词 antenna arrays mutual coupling pattern synthesis filter bank directions of ar-rival
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Group—Invariant Solutions in Plane Curve Motions
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作者 QUChang-Zheng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第4期401-404,共4页
Group-invariant solutions to certain plane curve motions in Euclidean and centro-affine geometries areobtained. The behavior of some solutions is also presented.
关键词 motion of plane curves centro-affine geometry symmetry group spiral wave solution
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A Flexible Calibration Method of Laser Light-Sectioning System for Online 3D Measurement
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作者 KANG Xin SUN Wei +1 位作者 YIN Zhuoyi LIU Cong 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第6期1048-1057,共10页
A flexible calibration method based on a front-coated flat mirror is proposed for a laser light-sectioning three-dimensional(3D)measurement system. Since the calibration target and its mirror image are spatially separ... A flexible calibration method based on a front-coated flat mirror is proposed for a laser light-sectioning three-dimensional(3D)measurement system. Since the calibration target and its mirror image are spatially separated and can be recorded in an image by a camera,the proposed method requires only a single composite image that contains a non-planar checkerboard pattern,a laser strip projected on the target and their mirror images to complete the calibration of the camera and the laser plane in one step. Levenberg-Marquardt(LM)algorithm is used to optimize the system parameters,and the measurement accuracy and speed are improved to enable online 3D inspection. Static and dynamic online 3D measurements are carried out on a cup and a triple stepped shaft,respectively,to validate the proposed method. The shaft has two steps with the depth of(0.5±0.01)mm and(2±0.01)mm to be measured online when the shaft is rotated and translated at the same time. The measurement results can be output at a frequency of 7 to 11 readings per second with standard deviations of 0.040 mm and 0.051 mm. The experimental results verify the effectiveness and flexibility of the proposed method. 展开更多
关键词 laser light-sectioning system calibration front-coated flat mirror online three-dimentional(3D)measurement Levenberg-Marquardt(LM)algorithm
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A Linear Time Algorithm for Minimum-Weight Feedback Vertex Set Problem in Outerplanar Graphs
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作者 张少强 王骁力 李国君 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2004年第4期610-618,共9页
A subset of the vertex set of a graph is a feedback vertex set of the graph ifthe resulting graph is a forest after removing the vertex subset from the graph.In thispaper, we study the minimum-weight feedback vertex s... A subset of the vertex set of a graph is a feedback vertex set of the graph ifthe resulting graph is a forest after removing the vertex subset from the graph.In thispaper, we study the minimum-weight feedback vertex set problem in outerplanar graphs and present a linear time algorithm to solve it. 展开更多
关键词 outerplanar graphs feedback vertex set linear time algorithm.
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A manifold approach to generating iso-scallop trajectories in three-axis machining 被引量:2
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作者 CHEN XuBing LI WenLong XIONG YouLun 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第1期131-139,共9页
A novel approach of iso-scallop trajectory generation for smooth manifold surfaces has been developed. Firstly,by defining homeomorphism mapping relations and differentiable structures,the smooth manifold surface is m... A novel approach of iso-scallop trajectory generation for smooth manifold surfaces has been developed. Firstly,by defining homeomorphism mapping relations and differentiable structures,the smooth manifold surface is mapped into several Euclidean planes,thus its trajectory generation can be decomposed into planar curve-filling tasks. Secondly,in the generation of direction-parallel trajectories,the calculation of the cutting interval and the curvature is given,depending on the generation of the first curve in the projection view. Thirdly,after automatic adherences of inverse projection curves,the filled curves are mapped into the original surface inversely to form trajectories. Although the required trajectories are iso-scallop,the trajectory intervals are variable according to the curvature changes at the projection point,which is advantageous to improving the trajectory quality. The proposed approach has appealing merits of dimensionality reduction,which decreases the algorithm complexity. Finally,numerical and machining examples are given to illustrate its feasibility and validity. 展开更多
关键词 smooth manifold surface iso-scallop trajectory three-axis machining homeomorphism mapping REGULARITY
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Evaluation of the heat transfer performance of helical coils of non-circular tubes 被引量:3
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作者 Jundika C.KURNIA Agus P.SASMITO Arun S.MUJUMDAR 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2011年第1期63-70,共8页
This study addresses heat transfer performance of various configurations of coiled non-circular tubes, e.g., in-plane spiral ducts, helical spiral ducts, and conical spiral ducts. The laminar flow of a Newtonian fluid... This study addresses heat transfer performance of various configurations of coiled non-circular tubes, e.g., in-plane spiral ducts, helical spiral ducts, and conical spiral ducts. The laminar flow of a Newtonian fluid in helical coils made of square cross section tubes is simulated using the computational fluid dynamic approach. The effects of tube Reynolds number, fluid Prandtl number, coil diameter, etc., are quantified and discussed. Both constant wall temperature and constant heat flux conditions are simulated. The effect of in-plane coil versus a cylindrical design of constant coil, as well as a conical coil design is discussed. Results are compared with those for a straight square tube of the same length as that used to form the coils. Advantages and limitations of using coiled tubes are discussed in light of the numerical results. 展开更多
关键词 COIL Non-circular tube Heat transfer performance Mathematical model
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One-step preparation of vinyl-functionalized material surfaces:a versatile platform for surface modification 被引量:2
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作者 DU Jun LIU XiaoLi +2 位作者 LIU Wei WU ZhaoQiang CHEN Hong 《Science China Chemistry》 SCIE EI CAS 2014年第4期654-660,共7页
A simple approach has been developed to functionalize various substrates, such as gold and polyvinylchloride, with dopamine methacrylamide—a molecule with adhesive properties that mimic those of mussels—to produce a... A simple approach has been developed to functionalize various substrates, such as gold and polyvinylchloride, with dopamine methacrylamide—a molecule with adhesive properties that mimic those of mussels—to produce a versatile and general platform for subsequent surface modification. With active double bonds on the surface, various polymers, such as poly([2-(methacryloyloxy)ethyl]dimethyl-(3-sulfopropyl) ammonium hydroxide(PMEDSAH) and poly(N-vinylpyrrolidone)(PVP), can be grafted by conventional radical polymerization. Double bond surface functionalization and subsequent polymer grafting have been verified by static water contact angle, Fourier transform infrared–attenuated total reflectance(FTIR-ATR) spectroscopy and X-ray photoelectron spectroscopy(XPS) measurements. Protein adsorption assays showed that the polymermodified substrates have good protein-resistant properties. Considering the advantages of facility, versatility and substrate- independence, this method should be useful in designing functional interfaces for bioengineering applications. 展开更多
关键词 surface modification DOPAMINE gold POLYVINYLCHLORIDE radical polymerization
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Fast adaptive flat-histogram ensemble to enhance the sampling in large systems
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作者 XU Shun ZHOU Xin +1 位作者 JIANG Yi WANG YanTing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第9期5-10,共6页
An efficient novel algorithm was developed to estimate the Density of States(DOS) for large systems by calculating the ensemble means of an extensive physical variable, such as the potential energy, U, in generalized ... An efficient novel algorithm was developed to estimate the Density of States(DOS) for large systems by calculating the ensemble means of an extensive physical variable, such as the potential energy, U, in generalized canonical ensembles to interpolate the interior reverse temperature curve β_s(U)=SU/U, where S(U) is the logarithm of the DOS. This curve is computed with different accuracies in different energy regions to capture the dependence of the reverse temperature on U without setting prior grid in the U space. By combining with a U-compression transformation, we decrease the computational complexity from O(N3/2) in the normal Wang Landau type method to O(N1/2) in the current algorithm, as the degrees of freedom of system N. The efficiency of the algorithm is demonstrated by applying to Lennard Jones fluids with various N, along with its ability to find different macroscopic states, including metastable states. 展开更多
关键词 molecular dynamics simulations enhanced sampling density of states generalized canonical ensemble flat-histogram ensemble
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Mathematical Justification of an Obstacle Problem in the Case of a Plate
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作者 Yan GUAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2017年第5期1047-1058,共12页
In this paper the modeling of a thin plate in unilateral contact with a rigid plane is properly justified. Starting from the three-dimensional nonlinear Signorini problem, by an asymptotic approach the convergence of ... In this paper the modeling of a thin plate in unilateral contact with a rigid plane is properly justified. Starting from the three-dimensional nonlinear Signorini problem, by an asymptotic approach the convergence of the displacement field as the thickness of the plate goes to zero is studied. It is shown that the transverse mechanical displacement field decouples from the in-plane components and solves an obstacle problem. 展开更多
关键词 Signorini problem Obstacle problem Asymptotic analysis PLATE
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