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Higher Moment Method in Reliability Analysis of Engineering Structure

Gong Fengqiang,Li Xibing,Deng Jian

Strategic Study of CAE 2006, Volume 8, Issue 5,   Pages 69-73

Abstract:

A higher moment method with the basis of Chebyshev polynomial { Tk(x)} is presented, which

Keywords： structure reliability     higher moment     Chebyshev polynomial     failure probability    

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Operation analysis of a Chebyshev-Pantograph leg mechanism for a single DOF biped robot

Conghui LIANG, Marco CECCARELLI, Yukio TAKEDA

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 357-370 doi: 10.1007/s11465-012-0340-5

Abstract:

In this paper, operation analysis of a Chebyshev-Pantograph leg mechanism is presented for a singleThe proposed leg mechanism is composed of a Chebyshev four-bar linkage and a pantograph mechanism.

Keywords： biped robots     leg mechanisms     simulation    

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Numerical Simulation of Static Behavior of the Single Anchor Cable

Teng Bin1,Hao Chunling,Han Ling

Strategic Study of CAE 2005, Volume 7, Issue 1,   Pages 21-26

Abstract:

The piecewise extrapolating method is applied to study the single anchor cable in this paper. The results are compared with the analytical results and the agreement is good. The polynomials are used to approximate the functional relations between the loads of the anchor cable and the displacement at the top of anchor cable, the water depth, and the velocity of flow on the different conditions.

Keywords： piecewise extrapolating method     single anchor cable     displacement     velocity of flow     water depth    

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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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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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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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New computational treatment of optical wave propagation in lossywaveguides

Jian-xin ZHU,Guan-jie WANG

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 8,   Pages 646-653 doi: 10.1631/FITEE.1400406

Abstract: lossy waveguides is described by the Helmholtz equation with the complex refractive-index, and the Chebyshev

Keywords： Adjoint operator     Orthogonal     Chebyshev     Pseudospectral method     Dirichlet-to-Neumann map    

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A chaotic coverage path planner for the mobilerobot based on the Chebyshev map for special missions Article

Cai-hong LI, Yong SONG, Feng-ying WANG, Zhi-qiang WANG, Yi-bin LI

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 9,   Pages 1305-1319 doi: 10.1631/FITEE.1601253

Abstract: introduce a novel strategy of designing a chaotic coveragepath planner for the mobile robot based on the ChebyshevThe designed chaotic path planner consists of atwo-dimensional Chebyshev map which is constructed byThe chaotic Chebyshev system is mapped into the feasibleregion of the robot workplace by affine transformation

Keywords： Mobile robot     Chebyshev map     Chaotic     Affine transformation     Coverage path planning    

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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: 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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Multiobjective trajectory optimization of intelligent electro-hydraulic shovel

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 4, doi: 10.1007/s11465-022-0706-2

Abstract: The proposed cubic polynomial S-curve is employed to plan the crowd and hoist speed of EHS.

Keywords： trajectory planning     electro-hydraulic shovel     cubic polynomial S-curve     multiobjective optimization    

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Cusp points and assembly changing motions in the PRR-PR-PRR planar parallel manipulator

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 2, doi: 10.1007/s11465-022-0743-x

Abstract: The direct kinematic problem of the manipulator yields a quartic polynomial equation.

Keywords： planar parallel manipulator     assembly changing motions     cusp points     quartic polynomial     discriminant    

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Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base

WANG Yan, HANG Lu-bin, YANG Ting-li

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 1,   Pages 115-124 doi: 10.1007/s11465-005-0022-7

Abstract: equations, the authors reduced the inverse kinematics problem in the general 6R manipulator to a univariate polynomial

Keywords： identical     manipulator     univariate polynomial     mechanism     traditional    

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Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach

Mahdi FAKOOR, Hadi PARVIZ

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 6,   Pages 1359-1371 doi: 10.1007/s11709-020-0658-8

Abstract: space of natural frequencies, and the corresponding mode shapes of the plate were determined using a polynomial

Keywords： composite plate     spatially varying stochastic properties     Galerkin method     polynomial chaos approach     semi-analytical    

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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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Title Author Date Type Operation

Higher Moment Method in Reliability Analysis of Engineering Structure

Gong Fengqiang,Li Xibing,Deng Jian

Journal Article

Operation analysis of a Chebyshev-Pantograph leg mechanism for a single DOF biped robot

Conghui LIANG, Marco CECCARELLI, Yukio TAKEDA

Journal Article

Numerical Simulation of Static Behavior of the Single Anchor Cable

Teng Bin1,Hao Chunling,Han Ling

Journal Article

Exponential polynomial uniform splines model

Zhao Yanli,Ping Ping,Liu Fengyu

Journal Article

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

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

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

New computational treatment of optical wave propagation in lossywaveguides

Jian-xin ZHU,Guan-jie WANG

Journal Article

A chaotic coverage path planner for the mobilerobot based on the Chebyshev map for special missions

Cai-hong LI, Yong SONG, Feng-ying WANG, Zhi-qiang WANG, Yi-bin LI

Journal Article

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

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

Journal Article

Multiobjective trajectory optimization of intelligent electro-hydraulic shovel

Journal Article

Cusp points and assembly changing motions in the PRR-PR-PRR planar parallel manipulator

Journal Article

Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base

WANG Yan, HANG Lu-bin, YANG Ting-li

Journal Article

Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach

Mahdi FAKOOR, Hadi PARVIZ

Journal Article

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

Journal Article