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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: properties on free vibration analysis of composite plates were investigated via development of a new approachspace of natural frequencies, and the corresponding mode shapes of the plate were determined using a polynomialchaos approach.

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

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: buckling load and corresponding mode shapes were studied by developing a semi-analytical non-intrusive approachThe 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    

Chaos Engineering

Long Yunjia

Strategic Study of CAE 2001, Volume 3, Issue 2,   Pages 10-15

Abstract: The discovery of chaos has showed that some deterministic nonlinear systems exhibit inner random behaviorOver the past two decades, chaos was such a universal phenomenon that it was reported virtually in everyThe main interest for theoretical academicians has been to investigate the essence of chaos.Chaos Engineering is a new nonlinear engineering science to research the practical use of chaos and itsinclude chaos analytic technique, chaos control technique and chaos synthetic technique.

Keywords: nonlinear     chaos     oscillation     vibration     wave    

Short-term prediction of the influent quantity time series of wastewater treatment plant based on a chaos

LI Xiaodong, ZENG Guangming, HUANG Guohe, LI Jianbing, JIANG Ru

Frontiers of Environmental Science & Engineering 2007, Volume 1, Issue 3,   Pages 334-338 doi: 10.1007/s11783-007-0057-6

Abstract: Based on this, a short-term forecasting chaos neural network model of WWTP influent quantity was built

Keywords: nonlinear     reconstruction     WWTP influent     characteristic     Reasonable forecasting    

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    

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    

Application of a Novel Fuzzy Clustering Method Based on Chaos Immune Evolutionary Algorithm for Edge

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 1,   Pages 85-89 doi: 10.1007/s11465-005-0023-6

Abstract:

A novel fuzzy clustering method based on chaos immune evolutionary algorithm (CIEFCM) is presentedIn CIEFCM, a tiny disturbance is added to a filial generation group using a chaos variable and the disturbance

Keywords: disturbance amplitude     disturbance     diversity     generation     processing    

Analysis of A Block Cipher Based on Chaos

Jin Chenhui

Strategic Study of CAE 2001, Volume 3, Issue 6,   Pages 75-80

Abstract: pointed out that the block cipher proposed in “Design of Block Cipher substitution network on chaosFurthermore, the mutual restriction between the successive values of the chaos sequences based on theLogistic mapping, and the property that the frontal values of the chaos sequences are not sensitive

Keywords: chaos sequence     block cipher     transposition cipher     attack with known plaintext     attack with ciphertext only    

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 usingvalidation, together with comparisons of the spatial distribution and the Empirical Kinetic Modeling Approach

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

Design of Block Cipher Substitution Network on Chaos

Sun Feng,Qin Honglei,Xu Yiaoqun,Hao Yianling

Strategic Study of CAE 2000, Volume 2, Issue 9,   Pages 47-49

Abstract: this paper, a design of block cipher substitution network is presented by use of the ergodic theory of chaosThe ergodic theory of chaos and the time complexity of substitution network is analyzed.The computer simulation result shows that the block cipher substitution network of chaos is highly complex

Keywords: chaos sequence     permutation network     ergodic theory     time complexity    

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    

Whole-life Thinking and Engineering the Future

Roger Flanagan

Frontiers of Engineering Management 2014, Volume 1, Issue 3,   Pages 290-296 doi: 10.15302/J-FEM-2014040

Abstract: Systems thinking provides one approach to developing a more robust whole-life approach.Complexity, chaos, and risk are endemic in all major projects.

Keywords: whole-life thinking     systems thinking     complexity     chaos     risk management through life    

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    

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: In this paper, a multiobjective trajectory optimization approach that sets energy consumption, executionThe proposed cubic polynomial S-curve is employed to plan the crowd and hoist speed of EHS.A novel hybrid constraint handling approach based on -constraint and the adaptive penalty functionResults show that the proposed approach can provide the high-quality Pareto optimal solutions and outperforms

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

Nonlinear dynamics and analysis of a four-bar linkage with clearance

Yuanguang TANG, Zongyu CHANG, Xiaogang DONG, Yafei HU, Zhenjiang YU

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 2,   Pages 160-168 doi: 10.1007/s11465-013-0258-6

Abstract: By using Poincare Map, it is proved that strange attractors or chaos exist in the dynamic response.In addition, phenomena of chaos, periodic response and subharmonic response also can be found in the

Keywords: four-bar linkage     chaos     bifurcation     strange attractors     dynamics    

Title Author Date Type Operation

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

Mahdi FAKOOR, Hadi PARVIZ

Journal Article

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

Journal Article

Chaos Engineering

Long Yunjia

Journal Article

Short-term prediction of the influent quantity time series of wastewater treatment plant based on a chaos

LI Xiaodong, ZENG Guangming, HUANG Guohe, LI Jianbing, JIANG Ru

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

Application of a Novel Fuzzy Clustering Method Based on Chaos Immune Evolutionary Algorithm for Edge

Journal Article

Analysis of A Block Cipher Based on Chaos

Jin Chenhui

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

Design of Block Cipher Substitution Network on Chaos

Sun Feng,Qin Honglei,Xu Yiaoqun,Hao Yianling

Journal Article

A new type of quadratic acceleration method

Changqing LI, Menglin LOU,

Journal Article

Whole-life Thinking and Engineering the Future

Roger Flanagan

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

Nonlinear dynamics and analysis of a four-bar linkage with clearance

Yuanguang TANG, Zongyu CHANG, Xiaogang DONG, Yafei HU, Zhenjiang YU

Journal Article