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Exponential polynomial uniform splines model

Zhao Yanli,Ping Ping,Liu Fengyu

Strategic Study of CAE 2008, Volume 10, Issue 7,   Pages 147-152

Abstract:

 A new model of k( k ≥ 3) order exponential polynomial uniformspline is given.Most of its properties similar to those of the B - spline model, and also it has anThe spline curves which are constructed by the exponential polynomial uniform splines can adjust the

Keywords： exponential polynomial uniform spline function     uniform B - spline function     shape parameter    

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Edge Detection Based on a Uniform B-Spline With Shape Parameter by Modifying Profit and Loss Data

Zhao Yanli ,Wang Zhan ,Guo Chenghao ,Liu Fengyu

Strategic Study of CAE 2007, Volume 9, Issue 7,   Pages 65-70

Abstract: p style="text-align: justify;">This paper puts forward a novel image edge detection method based on uniformB-spline with shape parameter by modifying profit and loss data.

Keywords： uniform B-spline with shape parameter     edge detection     computer vision     profit and loss modifying    

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Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 2, doi: 10.1007/s11465-022-0683-5

Abstract: effectively remove the critical issue induced by one-node connected hinges and simultaneously maintain uniformrepresentation to construct the eroded, intermediate, and dilated density distribution functions by non-uniform

Keywords： piezoelectric actuator     isogeometric topology optimization     uniform manufacturability     robust formulation     density distribution function    

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Implementation of an adaptive feed speed 3D NURBS interpolation algorithm

LIANG Hong-bin, WANG Yong-zhang, LI Xia

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 4,   Pages 403-408 doi: 10.1007/s11465-006-0047-6

Abstract: NURBS (non-uniform rational B-spline) interpolation algorithms have been provided in modern CNC (computer

Keywords： NURBS parametric     rational B-spline     second-order     non-uniform rational     precision    

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Analytical solutions of three-dimensional contaminant transport in uniform flow field in porous media

Hongtao WANG, Huayong WU

Frontiers of Environmental Science & Engineering 2009, Volume 3, Issue 1,   Pages 112-128 doi: 10.1007/s11783-008-0067-z

Abstract: is to present a library of analytical solutions for the three-dimensional contaminant transport in uniformThe library is constructed using Green's function method (GFM) in combination with available solutionsor volumetric body; and the source release can be continuous, instantaneous, or by following a given functionlibrary is widely applicable to solve contaminant transport problems of one- or multiple- dimensions in uniform

Keywords： contaminant transport     analytical solution     dispersion and advection     porous media     type curve     Green's function    

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Correcting Model of Viscosity with Exponential Function Derived and Its Application

Qu Qingwen,Wang Mei,Chai Shan,Yao Fusheng

Strategic Study of CAE 2001, Volume 3, Issue 10,   Pages 53-58

Abstract: interaction of molecules and basic definition of hydromechanics, correcting model of viscosity with exponentialfunction is derived.

Keywords： adsorbent layer     viscosity     thin film lubrication     bearing    

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Assessment indices for uniform and non-uniform thermal environments

ZHANG Yufeng, SUN Shufeng, ZHAO Rongyi

Frontiers in Energy 2008, Volume 2, Issue 2,   Pages 129-133 doi: 10.1007/s11708-008-0029-y

Abstract: 30 subjects reported their overall thermal sensation, thermal comfort, and thermal acceptability in uniformand non-uniform conditions.The results show that these three assessment indices provide equivalent evaluations in uniform environmentssensation differs from the other two indices and cannot be used as a proper index for the evaluation of non-uniform

Keywords： thermal sensation     proper assessment     relationship     equivalent     thermal acceptability    

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General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of exponential

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 2, doi: 10.1007/s11465-022-0681-7

Abstract: problems of robots are usually decomposed into several Paden–Kahan subproblems based on the product of exponential

Keywords： inverse kinematics     Paden–Kahan subproblems     three-joint subproblems     product of exponential     closed-form    

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Multiresolution and multimaterial topology optimization of fail-safe structures under B-spline spaces

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 4, doi: 10.1007/s11465-023-0768-9

Abstract: This study proposes a B-spline-based multiresolution and multimaterial topology optimization (TO) designfiner density mesh to discretize the design domain, in which the density field is described by the B-splinefunction.The B-spline can efficiently and accurately convert optimized FSSs into computer-aided design models.

Keywords： multiresolution     multimaterial     topology optimization     fail-safe structure     B-spline    

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Effect of non-uniform illumination on performance of solar thermoelectric generators

Ershuai YIN, Qiang LI, Yimin XUAN

Frontiers in Energy 2018, Volume 12, Issue 2,   Pages 239-248 doi: 10.1007/s11708-018-0533-7

Abstract: The non-uniform illumination caused by the optical concentrator may affect the performance of solar thermoelectricThe influences of non-uniform illumination on the temperature distribution, the voltage distribution,generators with 32, 18 and 8 pairs of thermocouples are compared to investigate their capability under non-uniformThe non-uniform solar illumination will weaken the capability of the TE generator, and the maximum outputReducing the number of the thermoelectric legs for non-uniform solar illumination can greatly increase

Keywords： solar thermoelectric generators     non-uniform solar illumination     performance evaluation     solar energy    

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Ultrasonic linear motor using the L-B mode Langevin transducer with an exponential horn

SHI Shengjun, CHEN Weishan, LIU Junkao, ZHAO Xuetao

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 2,   Pages 212-217 doi: 10.1007/s11465-008-0026-1

Abstract: An ultrasonic linear motor is proposed and fabricated by using the longitudinal and bending vibration double mode bolt-clamped Langevin type transducer to meet high power and speed requirements in the aerospace and semiconductor ind

Keywords： longitudinal     vibration     bolt-clamped     semiconductor     ultrasonic    

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Interpolation of a spline developable surface between a curve and two rulings

Alicia CANTÓN,Leonardo FERNÁNDEZ-JAMBRINA

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 3,   Pages 173-190 doi: 10.1631/FITEE.14a0210

Abstract: In this paper we address the problem of interpolating a spline developable patch bounded by a given splineTo complete the boundary of the patch, a second spline curve is to be given.

Keywords： Developable surfaces     Spline surfaces     Blossoms    

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Nodal, zonal, or uniform electricity pricing: how to deal with network congestion

Martin WEIBELZAHL

Frontiers in Energy 2017, Volume 11, Issue 2,   Pages 210-232 doi: 10.1007/s11708-017-0460-z

Abstract: ., nodal, zonal, and uniform electricity pricing, are surveyed.

Keywords： nodal pricing     zonal pricing     uniform pricing     competitive electricity markets     welfare maximization     redispatch    

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Controlled synthesis of uniform silver nanowires with high aspect ratios in aqueous solutions of gemini

XU Jian, LIU Weijun, LIU Honglai, HU Ying

Frontiers of Chemical Science and Engineering 2007, Volume 1, Issue 3,   Pages 221-227 doi: 10.1007/s11705-007-0040-6

Abstract: dibromide (16-3-16), the growth of silver could be directed into a highly anisotropic mode to form uniformsilver nanowires, indicating the formation of a highly pure phase, good crystallinity, as well as a uniform

Keywords： solution-phase     photoelectron spectroscopy     16-3-16     surfactant     transmission    

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High-precision Numerical Computation of High-degree Gauss quadrature Nodes

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

Strategic Study of CAE 2008, Volume 10, Issue 2,   Pages 35-40

Abstract:

Gauss quadrature is used widely in many fields such as the engineering numerical computation, X-ray diffraction profile analysis, spectroscopy,and so on. The nodes and weight factors of Gauss-quadrature are essential data to the numerical integration. A method to compute the zeroes of the high-degree Legendre, Laguerre and Hermite polynomials, which are the nodes of Gauss-Legendre, Gauss-Laguerre and Gauss-Hermite Quadrature, respectively, is studied, and a very efficient algorithm scan-iteration method(SIM) is given. According to the properties of Legendre, Laguerre and Hermite polynomials, their definitions are modified a little, and the stable recursive relations to compute their value are obtained. To extract these polynomials, their root intervals are searched with a certain step within a certain range. After the intervals of all roots are obtained, the roots with the desired precision can be gotten by the general iteration methods such as secant or bisection method. Numerical experiments indicate that the method is very efficient and the high-precise roots of Legendre, Laguerre and Hermite polynomials can be extracted.

Keywords： Gauss quadrature     Legendre polynomial     Laguerre polynomial     Hermite polynomial     extract roots    

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Title Author Date Type Operation

Exponential polynomial uniform splines model

Zhao Yanli,Ping Ping,Liu Fengyu

Journal Article

Edge Detection Based on a Uniform B-Spline With Shape Parameter by Modifying Profit and Loss Data

Zhao Yanli ,Wang Zhan ,Guo Chenghao ,Liu Fengyu

Journal Article

Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability

Journal Article

Implementation of an adaptive feed speed 3D NURBS interpolation algorithm

LIANG Hong-bin, WANG Yong-zhang, LI Xia

Journal Article

Analytical solutions of three-dimensional contaminant transport in uniform flow field in porous media

Hongtao WANG, Huayong WU

Journal Article

Correcting Model of Viscosity with Exponential Function Derived and Its Application

Qu Qingwen,Wang Mei,Chai Shan,Yao Fusheng

Journal Article

Assessment indices for uniform and non-uniform thermal environments

ZHANG Yufeng, SUN Shufeng, ZHAO Rongyi

Journal Article

General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of exponential

Journal Article

Multiresolution and multimaterial topology optimization of fail-safe structures under B-spline spaces

Journal Article

Effect of non-uniform illumination on performance of solar thermoelectric generators

Ershuai YIN, Qiang LI, Yimin XUAN

Journal Article

Ultrasonic linear motor using the L-B mode Langevin transducer with an exponential horn

SHI Shengjun, CHEN Weishan, LIU Junkao, ZHAO Xuetao

Journal Article

Interpolation of a spline developable surface between a curve and two rulings

Alicia CANTÓN,Leonardo FERNÁNDEZ-JAMBRINA

Journal Article

Nodal, zonal, or uniform electricity pricing: how to deal with network congestion

Martin WEIBELZAHL

Journal Article

Controlled synthesis of uniform silver nanowires with high aspect ratios in aqueous solutions of gemini

XU Jian, LIU Weijun, LIU Honglai, HU Ying

Journal Article

High-precision Numerical Computation of High-degree Gauss quadrature Nodes

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

Journal Article