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Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem Article

Xue-song CHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1479-1487 doi: 10.1631/FITEE.1601101

Abstract: The approach derived from the Galerkin approximation is used to solve the generalized Hamilton-Jacobi-Bellman

Keywords： Generalized Hamilton-Jacobi-Bellman equation     Nonlinear optimal control     Galerkin approximation     Legendre    

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Indirect adaptive fuzzy-regulated optimal control for unknown continuous-time nonlinear systems

Haiyun Zhang, Deyuan Meng, Jin Wang, Guodong Lu,gray_sun@zju.edu.cn,tinydreams@126.com,dwjcom@zju.edu.cn,lugd@zju.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 2,   Pages 141-286 doi: 10.1631/FITEE.1900610

Abstract: Initially, the Hamilton-Jacobi-Bellman (HJB) equation associated with its performance function is derivedweighting matrix of the performance function for the purpose of approximating and balancing the HJB equationadaptive optimal feedback controller is developed as the actor with a new form of augmented Riccati equation

Keywords： Indirect adaptive optimal control     Hamilton-Jacobi-Bellman equation     Fuzzy-regulated critic     Adaptive    

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Conceptual design of compliant mechanisms using level set method

Shi-kui CHEN, Michael Yu WANG

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 2,   Pages 131-145 doi: 10.1007/s11465-006-0018-y

Abstract: one-higher dimensional level set function, and the dynamic variations of the shape are governed by the Hamilton-Jacobipartial differential equation.By making a connection between the velocity field in the Hamilton-Jacobi partial differential equationtransform the optimization problem into that of finding a steady-state solution of the partial differential equation

Keywords： splitting     minimum     dimensional optimization     Hamilton-Jacobi     topological    

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Isomorphism analysis on generalized modules oriented to the distributed parameterized intelligent product

Shasha ZENG, Weiping PENG, Tiaoyu LEI

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 12-23 doi: 10.1007/s11465-019-0555-9

Abstract: product platform (DPIPP) contains many agents of a product minimum approximate autonomous subsystem (generalizedIn this study, a new method of isomorphism analysis on generalized modules oriented to DPIPP is proposedFirst, on the basis of the bill of material partition and generalized module mining, the parameters ofSecond, similarity calculation of generalized modules is realized by improving the clustering using representativesGeneralized modules with a similar structure are combined to complete the isomorphism analysis.

Keywords： distributed parameterized intelligent product platform     generalized module     isomorphism analysis     product    

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Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes

Xuemin SUN, Yan-An YAO, Ruiming LI

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 89-99 doi: 10.1007/s11465-019-0567-5

Abstract: This study proposes a method of constructing type II generalized angulated elements (GAEs II) HobermanThird, a flowchart of constructing the generalized Hoberman sphere mechanism on the basis of deploymentFinally, four generalized Hoberman sphere mechanisms based on a fully enclosed regular hexahedron, arithmetic

Keywords： deployable mechanism     type II generalized angulated elements     Hoberman sphere mechanism     deployment axes    

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Multiscale RBF-based central high resolution schemes for simulation of generalized thermoelasticity problems

Hassan YOUSEFI, Alireza TAGHAVI KANI, Iradj MAHMOUDZADEH KANI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 429-455 doi: 10.1007/s11709-018-0483-5

Abstract: This proposed method is used for simulation of generalized coupled thermoelasticity problems including

Keywords： central high resolution schemes     RBFs     higher order accuracy     generalized thermoelasticity     multiresolution-based    

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Design and analysis of the gripper mechanism based on generalized parallel mechanisms with configurable

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4,   Pages 765-781 doi: 10.1007/s11465-021-0655-1

Abstract: Generalized parallel mechanisms with a configurable moving platform have become popular in the researchtranslations and two rotations plus an additional grasping motion) gripper mechanisms based on the generalized

Keywords： generalized parallel mechanism     configurable moving platform     gripper mechanism     type synthesis     kinematic    

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An approach for mechanical fault classification based on generalized discriminant analysis

LI Wei-hua, SHI Tie-lin, YANG Shu-zi

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 3,   Pages 292-298 doi: 10.1007/s11465-006-0022-2

Abstract: classification of complicated mechanical faults, an approach to multi-faults classification based on generalizedCompared with linear discriminant analysis (LDA), generalized discriminant analysis (GDA), one of nonlinear

Keywords： generalized discriminant     non-separable     abnormality     classification     multi-faults classification    

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The convexity about ultimate bearing hypersurfaces of structures

Chengxi GUO,Tingting GUO

Frontiers of Structural and Civil Engineering 2016, Volume 10, Issue 4,   Pages 456-461 doi: 10.1007/s11709-016-0334-1

Abstract: All of generalized non-overload forces acted on a structure forms a convex set when ignoring the second-ordereffects (coupling effects between the generalized forces).

Keywords： service     limit load     ultimate bearing surface     convexity     generalized force     generalized displacement     frame    

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Comparisons of bridges flutter derivatives and generalized ones

Fuyou XU , Zhe ZHANG , Cailiang HUANG , Airong CHEN ,

Frontiers of Structural and Civil Engineering 2009, Volume 3, Issue 3,   Pages 272-278 doi: 10.1007/s11709-009-0042-1

Abstract: The concept of “generalized flutter derivative” is proposed, and its physical meaning isThe graphs of the generalized flutter derivatives of plate and Sutong Bridge section model are plottedThe characteristics of all generalized flutter derivatives are compared and analyzed, and their superioritiesThe results indicate that the physical meaning of generalized flutter derivatives are more explicit comparedunderstand the nonlinearity properties of self-excited aerodynamic force of bridge according to the generalized

Keywords： bridge     flutter derivative     generalized flutter derivative     self-excited aerodynamic force     Sutong Bridge    

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Generalized Plastic Mechanics and Its Application

Zheng Yingren,Kong Liang

Strategic Study of CAE 2005, Volume 7, Issue 11,   Pages 21-36

Abstract: By giving up the three hypotheses, a generalized plastic potential theory can be obtained from solidmechanics directly, and then the traditional plastic mechanics can be changed to a more generalized plasticmechanics, namely generalized plastic mechanics (GPM).

Keywords： geotechnical plastic mechanics     generalized plastic mechanics     plastic potential     yield surface     constitutive    

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Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model

Haizhu HU,Xiaomin MAO

Frontiers of Agricultural Science and Engineering 2016, Volume 3, Issue 3,   Pages 241-248 doi: 10.15302/J-FASE-2016108

Abstract: The traditional advection-dispersion equation (ADE) and the mobile-immobile model (MIM) are widely used

Keywords： solute transport     advection dispersion equation (ADE)     mobile-immobile model (MIM)     conservative solute    

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Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao

Frontiers of Chemical Science and Engineering 2021, Volume 15, Issue 1,   Pages 72-89 doi: 10.1007/s11705-020-1977-y

Abstract: The extractive dividing-wall column (EDWC) is one of the most efficient technologies for separation of azeotropic or close boiling-point mixtures, but its design is fairly challenging. In this paper we extend the hybrid feasible path optimisation algorithm (Ma Y, McLaughlan M, Zhang N, Li J. Computers & Chemical Engineering, 2020, 143: 107058) for such optimal design. The tolerances-relaxation integration method is refined to allow for long enough integration time that can ensure the solution of the pseudo-transient continuation simulation close to the steady state before the required tolerance is used. To ensure the gradient and Jacobian information available for optimisation, we allow a relaxed tolerance for the simulation in the sensitivity analysis mode when the simulation diverges under small tolerance. In addition, valid lower bounds on purity of the recycled entrainer and the vapour flow rate in column sections are imposed to improve computational efficiency. The computational results demonstrate that the extended hybrid algorithm can achieve better design of the EDWC compared to those in literature. The energy consumption can be reduced by more than 20% compared with existing literature report. In addition, the optimal design of the heat pump assisted EDWC is achieved using the improved hybrid algorithm for the first time.

Keywords： design     extractive dividing-wall column     equation-oriented optimisation     pseudo-transient continuation model    

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Comprehensive Discussion on the Extension of Generalized Uncertainty Systems Theory

Wang Qingyin,Lii Ruihua

Strategic Study of CAE 2005, Volume 7, Issue 10,   Pages 16-22

Abstract:

Based on comprehensive discussion on the connotation of generalized uncertainty systems theory, thispaper discusses the extension of generalized uncertainty systems theory as well as the basic frame andIt is a base to study generalized uncertainty systems theory.

Keywords： generalized uncertainty information     uncertainty mathematics     generalized uncertainty systems theory    

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Calculation and research on deepwater drilling riser flexural equation and natural frequency

Jiang Wei

Strategic Study of CAE 2011, Volume 13, Issue 5,   Pages 66-73

Abstract:

Flexural equation was established in this paper, which was based on applicationFree-hinged beam was taken as constraint condition of flexural equation combined with drilling string

Keywords： deepwater drilling     drilling riser     flexural equation     natural frequency     shape function    

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Title Author Date Type Operation

Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem

Xue-song CHEN

Journal Article

Indirect adaptive fuzzy-regulated optimal control for unknown continuous-time nonlinear systems

Haiyun Zhang, Deyuan Meng, Jin Wang, Guodong Lu,gray_sun@zju.edu.cn,tinydreams@126.com,dwjcom@zju.edu.cn,lugd@zju.edu.cn

Journal Article

Conceptual design of compliant mechanisms using level set method

Shi-kui CHEN, Michael Yu WANG

Journal Article

Isomorphism analysis on generalized modules oriented to the distributed parameterized intelligent product

Shasha ZENG, Weiping PENG, Tiaoyu LEI

Journal Article

Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes

Xuemin SUN, Yan-An YAO, Ruiming LI

Journal Article

Multiscale RBF-based central high resolution schemes for simulation of generalized thermoelasticity problems

Hassan YOUSEFI, Alireza TAGHAVI KANI, Iradj MAHMOUDZADEH KANI

Journal Article

Design and analysis of the gripper mechanism based on generalized parallel mechanisms with configurable

Journal Article

An approach for mechanical fault classification based on generalized discriminant analysis

LI Wei-hua, SHI Tie-lin, YANG Shu-zi

Journal Article

The convexity about ultimate bearing hypersurfaces of structures

Chengxi GUO,Tingting GUO

Journal Article

Comparisons of bridges flutter derivatives and generalized ones

Fuyou XU , Zhe ZHANG , Cailiang HUANG , Airong CHEN ,

Journal Article

Generalized Plastic Mechanics and Its Application

Zheng Yingren,Kong Liang

Journal Article

Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model

Haizhu HU,Xiaomin MAO

Journal Article

Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao

Journal Article

Comprehensive Discussion on the Extension of Generalized Uncertainty Systems Theory

Wang Qingyin,Lii Ruihua

Journal Article

Calculation and research on deepwater drilling riser flexural equation and natural frequency

Jiang Wei

Journal Article