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Range estimation based on symmetry polynomial aided Chinese remainder theorem for multiple targets in Research Articles

Chenghu CAO, Yongbo ZHAO,ybzhao@xidian.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 2,   Pages 304-316 doi: 10.1631/FITEE.2000418

Abstract: because of unknown correspondence between the target range and measured range, especially using the Chineseremainder theorem (CRT) algorithm.In this paper, we present a symmetry polynomial aided CRT algorithm to effectively achieve range estimationrobust CRT algorithm for single target and the Aitken acceleration algorithm for finding roots of a polynomial

Keywords： Range ambiguity     Erroneous range     Multiple targets     Symmetry polynomial aided Chinese remainder theorem    

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Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Frontiers of Structural and Civil Engineering   Pages 179-190 doi: 10.1007/s11709-022-0888-z

Abstract: The probabilistic response space was obtained by employing the non-intrusive polynomial chaos method.

Keywords： uncertain composite plate     stochastic assume mode method     Karhunen−Loève theorem     polynomial chaos approach    

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Both-Branch Fuzzy Decision and Problems on Decision Discernment

Shi Kaiquan,Li Qiqiang

Strategic Study of CAE 2001, Volume 3, Issue 1,   Pages 71-77

Abstract: In addition, the paper proposes decision judgement theorem, decision discernment theorem, decision surplusage-discardingtheorem and hole-digging principle on decision factors universe X.

Keywords： both-branch fuzzy decision     decision model     judgement theorem     discernment theorem     surplusage-discardingtheorem     hole-digging principle    

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Review of research and development of computer-aided Kansei Engineering

Li LIN, Chengqi XUE

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 2,   Pages 125-128 doi: 10.1007/s11465-009-0023-z

Abstract: The working process and the key technology of computer-aided Kansei Engineering systems are discussed

Keywords： Kansei words     design elements     system     database    

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Design of bio-oil additives via molecular signature descriptors using a multi-stage computer-aided molecular

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 2,   Pages 168-182 doi: 10.1007/s11705-021-2056-8

Abstract: In this work, computer-aided molecular design tools were developed to design optimal solvents to upgradeDue to the combinatorial nature of higher-order signatures, the complexity of a computer-aided molecular

Keywords： computer-aided molecular design     bio-oil additives     molecular signature descriptor    

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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 uniformThe 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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Classical state feedback controller for nonlinear systems using mean value theorem: closed loop-FOC of

Abrar ALLAG,Abdelhamid BENAKCHA,Meriem ALLAG,Ismail ZEIN,Mohamed Yacine AYAD

Frontiers in Energy 2015, Volume 9, Issue 4,   Pages 413-425 doi: 10.1007/s11708-015-0379-1

Abstract: systematic and useful synthesis method is proposed based on the use of the differential mean value theoremThe proposed design approach is based on the mean value theorem (MVT) to express the nonlinear error

Keywords： sector nonlinearity     nonlinear controller     linear matrix inequality (LMI) approach     differential mean value theorem    

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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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The Theorem of the Resistance of Hydraulic Machine's Materials to Cavitation Erosion and Abrasion

Wang Biao,Wang Yudong,Zhang Zihua,Ye Xianguo

Strategic Study of CAE 2003, Volume 5, Issue 7,   Pages 58-61

Abstract:

In order to confirm the dependence of the resistance of cavitation erosion and abrasion (CEA) on the common properties of materials, four typical materials (WC coating, NiCr alloy coating, boron stainless steel and titanium) were used to do the experiments of CEA and cavitation erosion (CE), to do corrosive experiment, and to test their hardnesses. The experiments results indicated that all resistance to CEA and resistance to CE depend on the hardness and the corrosive resistance of materials. The high hardness is the first factor of good resistance to CEA, strong corrosive resistance is the second factor. Meanwhile, the strong corrosive resistance is the first factor of good resistance to CE, high hardness is the second factor.

Keywords： hydraulic machine´     s materials     cavitation erosion and abrasion     theorem    

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Application of consistent geometric decomposition theorem to dynamic finite element of 3D composite beam

Iman FATTAHI, Hamid Reza MIRDAMADI, Hamid ABDOLLAHI

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 3,   Pages 675-689 doi: 10.1007/s11709-020-0625-4

Abstract: decomposed into cross-sectional and longitudinal components, called consistent geometric decomposition theoremFurthermore, from the viewpoint of consistent geometric decomposition theorem, the transformation and

Keywords： composite beam     dynamic finite element     degrees of freedom coupling     experimental validation     numerical validation    

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From Computer-Aided Design (CAD) Toward Human-Aided Design (HAD): An Isogeometric Topology Optimization

Yingjun Wang,Mi Xiao,Zhaohui Xia,Peigen Li,Liang Gao

Engineering 2023, Volume 22, Issue 3,   Pages 94-105 doi: 10.1016/j.eng.2022.07.013

Abstract:

In this paper, the novel design mode of human-aided design (HAD) is proposed to replace conventionalcomputer-aided design (CAD).

Keywords： Human-aided design     CAD/CAE integration     Isogeometric analysis     Structural optimization     Isogeometric topology    

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Dimethicone-aided laser cutting of solar rolled glass

Wenyuan LI, Guojun ZHANG, Long CHEN, Yu HUANG, Youmin RONG, Zhangrui GAO

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 1,   Pages 111-121 doi: 10.1007/s11465-020-0615-1

Abstract: Solar rolled glass, with one micro-structure surface and another roughness surface, can cause diffuse refraction of the focused laser spot, and this phenomenon restricts the application of laser manufacturing. In this study, laser cutting of solar rolled glass with a thickness of 2.5 mm was successfully achieved with the help of dimethicone to ensure laser focusing. Dimethicone was coated on the top surface of the rolled glass processing zone, and a bottom–up multilayer increment with the spiral line was applied to control the cutting path. Different viscosity values of dimethicone were considered. Results showed that surface quality increased as the viscosity increased until a certain threshold was reached; afterward, the surface quality decreased or directly caused the cutting to fail. The minimum surface roughness (3.26 µm) of the processed surface (chipping: Width≤113.64 µm, area 215199 µm ) was obtained when the dimethicone viscosity and laser pulse frequency were 1000 mm /s and 43 kHz (power 25.4 W), respectively. The micro-defects on the processed surface were few, and the edge chipping width and depth of the laser processed surface were small.

Keywords： laser cutting     solar rolled glass     dimethicone     viscosity     surface quality    

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Enhancement of the polynomial functions response surface model for real-time analyzing ozone sensitivity

Jiangbo Jin, Yun Zhu, Jicheng Jang, Shuxiao Wang, Jia Xing, Pen-Chi Chiang, Shaojia Fan, Shicheng Long

Frontiers of Environmental Science & Engineering 2021, Volume 15, Issue 2, doi: 10.1007/s11783-020-1323-0

Abstract: An Enhanced polynomial functions Response Surface Model (Epf-RSM) with the capability to analyze O3-NOx-VOCThe Epf-RSM could single out the best suited polynomial function for each grid cell to quantify the responsesSeveral comparisons between Epf-RSM and pf-ERSM (polynomial functions based ERSM) were performed using

Keywords： Response surface model     Hill-climbing algorithm     Ozone pollution     Precursor emissions     Control strategy    

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A new type of quadratic acceleration method

Changqing LI, Menglin LOU,

Frontiers of Structural and Civil Engineering 2010, Volume 4, Issue 3,   Pages 302-310 doi: 10.1007/s11709-010-0026-1

Abstract: The polynomial acceleration method for time history analysis is presented, in which accelerations betweenseveral equal neighboring time steps were assumed to be a polynomial function of time interval.With a higher order polynomial used, a higher accuracy can be obtained, but the stability field of the

Keywords： polynomial acceleration method     convergence     stability     square acceleration method    

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A Theoretical Summary and Mathematics Expression on the Regulation of Life in Meridian (Jing-Iuo) Science

Zhang Renxiang,Zhang Renji

Strategic Study of CAE 2005, Volume 7, Issue 4,   Pages 42-46

Abstract:

The meridian (Jing-Luo) is a core principle of Chinese medicine.

Keywords： Chinese natural comprehension     meridian science     principal of bi-way transforming modulation in symmetry    

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Title Author Date Type Operation

Range estimation based on symmetry polynomial aided Chinese remainder theorem for multiple targets in

Chenghu CAO, Yongbo ZHAO,ybzhao@xidian.edu.cn

Journal Article

Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Journal Article

Both-Branch Fuzzy Decision and Problems on Decision Discernment

Shi Kaiquan,Li Qiqiang

Journal Article

Review of research and development of computer-aided Kansei Engineering

Li LIN, Chengqi XUE

Journal Article

Design of bio-oil additives via molecular signature descriptors using a multi-stage computer-aided molecular

Journal Article

Exponential polynomial uniform splines model

Zhao Yanli,Ping Ping,Liu Fengyu

Journal Article

Classical state feedback controller for nonlinear systems using mean value theorem: closed loop-FOC of

Abrar ALLAG,Abdelhamid BENAKCHA,Meriem ALLAG,Ismail ZEIN,Mohamed Yacine AYAD

Journal Article

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

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

Journal Article

The Theorem of the Resistance of Hydraulic Machine's Materials to Cavitation Erosion and Abrasion

Wang Biao,Wang Yudong,Zhang Zihua,Ye Xianguo

Journal Article

Application of consistent geometric decomposition theorem to dynamic finite element of 3D composite beam

Iman FATTAHI, Hamid Reza MIRDAMADI, Hamid ABDOLLAHI

Journal Article

From Computer-Aided Design (CAD) Toward Human-Aided Design (HAD): An Isogeometric Topology Optimization

Yingjun Wang,Mi Xiao,Zhaohui Xia,Peigen Li,Liang Gao

Journal Article

Dimethicone-aided laser cutting of solar rolled glass

Wenyuan LI, Guojun ZHANG, Long CHEN, Yu HUANG, Youmin RONG, Zhangrui GAO

Journal Article

Enhancement of the polynomial functions response surface model for real-time analyzing ozone sensitivity

Jiangbo Jin, Yun Zhu, Jicheng Jang, Shuxiao Wang, Jia Xing, Pen-Chi Chiang, Shaojia Fan, Shicheng Long

Journal Article

A new type of quadratic acceleration method

Changqing LI, Menglin LOU,

Journal Article

A Theoretical Summary and Mathematics Expression on the Regulation of Life in Meridian (Jing-Iuo) Science

Zhang Renxiang,Zhang Renji

Journal Article