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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
Keywords: identical manipulator univariate polynomial mechanism traditional
Exponential polynomial uniform splines model
Zhao Yanli,Ping Ping,Liu Fengyu
Strategic Study of CAE 2008, Volume 10, Issue 7, Pages 147-152
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
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
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
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
Keywords: Response surface model Hill-climbing algorithm Ozone pollution Precursor emissions Control strategy
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
Keywords: polynomial acceleration method convergence stability square acceleration method
A solution to stochastic unit commitment problem for a wind-thermal system coordination
B. SARAVANAN,Shreya MISHRA,Debrupa NAG
Frontiers in Energy 2014, Volume 8, Issue 2, Pages 192-200 doi: 10.1007/s11708-014-0306-x
Keywords: unit commitment (UC) randomness wind generation univariate chance constrained
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
Keywords: Range ambiguity Erroneous range Multiple targets Symmetry polynomial aided Chinese remainder theorem
Multiobjective trajectory optimization of intelligent electro-hydraulic shovel
Frontiers of Mechanical Engineering 2022, Volume 17, Issue 4, doi: 10.1007/s11465-022-0706-2
Keywords: trajectory planning electro-hydraulic shovel cubic polynomial S-curve multiobjective optimization
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
Keywords: planar parallel manipulator assembly changing motions cusp points quartic polynomial discriminant
Yu-Chin CHAN, Kohei SHINTANI, Wei CHEN
Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2, Pages 141-152 doi: 10.1007/s11465-019-0531-4
Keywords: robust topology optimization lattice structures multi-material material uncertainty load uncertainty univariate
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
Keywords: composite plate spatially varying stochastic properties Galerkin method polynomial chaos approach semi-analytical
Frontiers of Structural and Civil Engineering Pages 179-190 doi: 10.1007/s11709-022-0888-z
Keywords: uncertain composite plate stochastic assume mode method Karhunen−Loève theorem polynomial chaos approach
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
A higher moment method with the basis of Chebyshev polynomial { Tk(x)} is presented, which
Keywords: structure reliability higher moment Chebyshev polynomial failure probability
A two-stage parametric subspace model for efficient contrast-preserving decolorization Article
Hong-yang LU, Qie-gen LIU, Yu-hao WANG, Xiao-hua DENG
Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 11, Pages 1874-1882 doi: 10.1631/FITEE.1600017
Keywords: Color-to-gray conversion Subspace modeling Two-order polynomial model Gradient correlation similarity
Alain Soup Tewa Kammogne, Michaux Noubé Kountchou, Romanic Kengne, Ahmad Taher Azar, Hilaire Bertrand Fotsin, Soup Teoua Michael Ouagni,kouaneteoua@yahoo.fr,aazar@psu.edu.sa,ahmad.azar@fci.bu.edu.eg
Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 9, Pages 1267-1412 doi: 10.1631/FITEE.1900430
Title Author Date Type Operation
Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base
WANG Yan, HANG Lu-bin, YANG Ting-li
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 solution to stochastic unit commitment problem for a wind-thermal system coordination
B. SARAVANAN,Shreya MISHRA,Debrupa NAG
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
Cusp points and assembly changing motions in the PRR-PR-PRR planar parallel manipulator
Journal Article
Robust topology optimization of multi-material lattice structures under material and load uncertainties
Yu-Chin CHAN, Kohei SHINTANI, Wei CHEN
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
Higher Moment Method in Reliability Analysis of Engineering Structure
Gong Fengqiang,Li Xibing,Deng Jian
Journal Article
A two-stage parametric subspace model for efficient contrast-preserving decolorization
Hong-yang LU, Qie-gen LIU, Yu-hao WANG, Xiao-hua DENG
Journal Article
Polynomial robust observer implementation based passive synchronization of nonlinear fractional-order
Alain Soup Tewa Kammogne, Michaux Noubé Kountchou, Romanic Kengne, Ahmad Taher Azar, Hilaire Bertrand Fotsin, Soup Teoua Michael Ouagni,kouaneteoua@yahoo.fr,aazar@psu.edu.sa,ahmad.azar@fci.bu.edu.eg
Journal Article