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differential mean value theorem (DMVT) 2

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Nanopositioning and Nonlinearity Compensation for Step Imprint Lithography Tool

LU Bing-heng, LIU Hong-zhong, DING Yu-cheng, WANG Li, QIU Zhi-hui

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 1,   Pages 6-13 doi: 10.1007/s11465-005-0003-x

Abstract: To avoid and eliminate these nonlinearity errors, radial basis function proportional integral derivativeDriving experiments of different motion ranges prove that this nonlinearity compensation is very effective

Keywords: different     nonoscillatory     nonlinearity     integral derivative     positioning    

Contribution of black carbon to nonlinearity of sorption and desorption of acetochlor on sediment

Jianqiu LIU, Yaobin ZHANG, Hong CHEN, Yazhi ZHAO, Xie QUAN

Frontiers of Environmental Science & Engineering 2009, Volume 3, Issue 1,   Pages 69-74 doi: 10.1007/s11783-008-0076-y

Abstract: In order to investigate the contribution of various black carbon (BC) contents to nonlinearity of sorptioncontent in the sediment would result in shifting the sorption-desorption isotherms from linearity to nonlinearity

Keywords: black carbon (BC)     sorption     desorption     sediment    

Finite element analysis of creep for plane steel frames in fire

Hui ZHU, Yuching WU

Frontiers of Structural and Civil Engineering 2012, Volume 6, Issue 3,   Pages 297-307 doi: 10.1007/s11709-012-0162-x

Abstract: The geometric nonlinearity, material nonlinearity, high temperature creep, and temperature rate of change

Keywords: creep     plane steel frame     fire     finite element method     geometric nonlinearity    

Optimal dome design considering member-related design constraints

Tugrul TALASLIOGLU

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 5,   Pages 1150-1170 doi: 10.1007/s11709-019-0543-5

Abstract: This study proposes to optimize the design of geometrically nonlinear dome structures. A new Multi-objective Optimization Algorithm named Pareto Archived Genetic Algorithm (PAGA), which has an ability of integrating the nonlinear structural analysis with the provisions of American Petroleum Institute specification is employed to optimize the design of ellipse and sphere-shaped dome configurations. Thus, it is possible to investigate how the qualities of optimal designations vary considering the shape, size, and topology-related design variables. Furthermore, the computing efficiency of PAGA is evaluated considering six multi-objective optimization algorithms and eight quality measuring indicators. It is shown that PAGA has a capability of both exploring an increased number of pareto solutions and predicting a pareto front with a higher convergence degree. Moreover, the inclusion of shape-related design variables leads to a decrease in both the weights of dome structures and their load-carrying capacities. However, the designer easily determines the most requested optimal design through the archiving feature of PAGA. Thus, it is also demonstrated that the proposed optimal design procedure increases the correctness degree in the evaluation of optimal dome designs through the tradeoff analysis. Consequently, PAGA is recommended as an optimization tool for the design optimization of geometrically nonlinear dome structures.

Keywords: dome structure     geometric nonlinearity     multi-objective optimization     API RP2A-LRFD    

Shape optimization of aluminium alloy spherical reticulated shells considering nonlinearities

Wei LIU; Lishu XU; Shaojun ZHU; Lijuan LI; Feng LIU; Zhe XIONG

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 12,   Pages 1565-1580 doi: 10.1007/s11709-022-0867-4

Abstract: To explore the effect of material nonlinearity, the optimal shapes obtained based on considering and

Keywords: shape optimization     aluminum alloy     spherical reticulated shell     non-linear buckling     material nonlinearity    

Implementation of total Lagrangian formulation for the elasto-plastic analysis of plane steel frames exposed to fire

Bing XIA, Yuching WU, Zhanfei HUANG

Frontiers of Structural and Civil Engineering 2012, Volume 6, Issue 3,   Pages 257-266 doi: 10.1007/s11709-012-0163-9

Abstract: In this paper, the co-rotational total Lagrangian forms of finite element formulations are derived to perform elasto-plastic analysis for plane steel frames that either experience increasing external loading at ambient temperature or constant external loading at elevated temperatures. Geometric nonlinearities and thermal-expansion effects are considered. A series of programs were developed based on these formulations. To verify the accuracy and efficiency of the nonlinear finite element programs, numerical benchmark tests were performed, and the results from these tests are in a good agreement with the literature. The effects of the nonlinear terms of the stiffness matrices on the computational results were investigated in detail. It was also demonstrated that the influence of geometric nonlinearities on the incremental steps of the finite element analysis for plane steel frames in the presence of fire is limited.

Keywords: co-rotational     total Lagrangian     geometrical nonlinearity     fire     elasto-plastic    

Experimental and numerical study on microcrack detection using contact nonlinear acoustics

Xiaojia CHEN, Yuanlin WANG

Frontiers of Structural and Civil Engineering 2009, Volume 3, Issue 2,   Pages 137-141 doi: 10.1007/s11709-009-0028-z

Abstract: a non-classical nonlinear acoustic theory for microcrack detection in materials, comparing contact nonlinearitywith material nonlinearity.

Keywords: microcrack detection     contact nonlinearity     numerical analysis    

A brief review on nonlinear modeling methods and applications of compliant mechanisms

Guangbo HAO,Jingjun YU,Haiyang LI

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 2,   Pages 119-128 doi: 10.1007/s11465-016-0387-9

Abstract:

Compliant mechanisms (CMs) have become one of the most popular research themes in mechanisms and robotics because of their merits. This paper aims to provide a brief systematic review on the advances of nonlinear static modeling approaches and the applications of CMs to promote interdisciplinary/multidisciplinary development for associated theories and other new applications. It also predicts likely future directions of applications and theory development.

Keywords: compliant mechanisms     modelling     nonlinearity     applications     review    

Nonlinear analysis and reliability of metallic truss structures

Karim BENYAHI, Youcef BOUAFIA, Salma BARBOURA, Mohand Said KACHI

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4,   Pages 577-593 doi: 10.1007/s11709-017-0458-y

Abstract: It is a question on one hand, to propose a formulation for the nonlinear calculation (mechanical nonlinearity

Keywords: modeling     nonlinearity mechanical     truss     probability     reliability     response surface     probability of failure    

Observer design for induction motor: an approach based on the mean value theorem

Mohamed Yacine HAMMOUDI,Abdelkarim ALLAG,Mohamed BECHERIF,Mohamed BENBOUZID,Hamza ALLOUI

Frontiers in Energy 2014, Volume 8, Issue 4,   Pages 426-433 doi: 10.1007/s11708-014-0314-x

Abstract: linear parametric varying (LPV) system, the differential mean value theorem combined with the sector nonlinearity

Keywords: observer design     differential mean value theorem (DMVT)     sector nonlinearity transformation     linear matrix    

A numerical wave model with weak nonlinearity and its application ability analysis

Liu Zhongbo,Tang Jun

Strategic Study of CAE 2010, Volume 12, Issue 9,   Pages 96-100

Abstract:

Based on the extended Boussinesq equation with weak nonlinearity, 2-D

Keywords: numerical model     application ability     wave    

Geometrical nonlinear deformation model and its experimental study on bimorph giant magnetostrictive thin film

LIU Wei, JIA Zhenyuan, WANG Fuji, ZHANG Yongshun, GUO Dongming

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3,   Pages 313-317 doi: 10.1007/s11465-008-0048-8

Abstract: The geometrical nonlinearity of a giant magnetostrictive thin film (GMF) can be clearly detected under

Keywords: magnetostrictive     nonlinear     magnetostriction     inaccurate     geometrical nonlinearity    

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

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: The problem of state feedback controllers for a class of Takagi-Sugeno (T-S) Lipschitz nonlinear systems is investigated. A simple systematic and useful synthesis method is proposed based on the use of the differential mean value theorem (DMVT) and convex theory. The proposed design approach is based on the mean value theorem (MVT) to express the nonlinear error dynamics as a convex combination of known matrices with time varying coefficients as linear parameter varying (LPV) systems. Using the Lyapunov theory, stability conditions are obtained and expressed in terms of linear matrix inequalities (LMIs). The controller gains are then obtained by solving linear matrix inequalities. The effectiveness of the proposed approach for closed loop-field oriented control (CL-FOC) of permanent magnet synchronous machine (PMSM) drives is demonstrated through an illustrative simulation for the proof of these approaches. Furthermore, an extension for controller design with parameter uncertainties and perturbation performance is discussed.

Keywords: Takagi-Sugeno (T-S) fuzzy systems     sector nonlinearity     nonlinear controller     linear matrix inequality (    

ApproximateGaussian conjugacy: parametric recursive filtering under nonlinearity,multimodality, uncertainty Review

Tian-cheng LI, Jin-ya SU, Wei LIU, Juan M. CORCHADO

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 12,   Pages 1913-1939 doi: 10.1631/FITEE.1700379

Abstract: Due to challenges arising from nonlinearity, multimodality (including target maneuver), intractable uncertainties

Keywords: Kalman filter     Gaussian filter     Time series estimation     Bayesian filtering     Nonlinear filtering     Constrained filtering     Gaussian mixture     Maneuver     Unknown inputs    

Title Author Date Type Operation

Nanopositioning and Nonlinearity Compensation for Step Imprint Lithography Tool

LU Bing-heng, LIU Hong-zhong, DING Yu-cheng, WANG Li, QIU Zhi-hui

Journal Article

Contribution of black carbon to nonlinearity of sorption and desorption of acetochlor on sediment

Jianqiu LIU, Yaobin ZHANG, Hong CHEN, Yazhi ZHAO, Xie QUAN

Journal Article

Finite element analysis of creep for plane steel frames in fire

Hui ZHU, Yuching WU

Journal Article

Optimal dome design considering member-related design constraints

Tugrul TALASLIOGLU

Journal Article

Shape optimization of aluminium alloy spherical reticulated shells considering nonlinearities

Wei LIU; Lishu XU; Shaojun ZHU; Lijuan LI; Feng LIU; Zhe XIONG

Journal Article

Implementation of total Lagrangian formulation for the elasto-plastic analysis of plane steel frames exposed to fire

Bing XIA, Yuching WU, Zhanfei HUANG

Journal Article

Experimental and numerical study on microcrack detection using contact nonlinear acoustics

Xiaojia CHEN, Yuanlin WANG

Journal Article

A brief review on nonlinear modeling methods and applications of compliant mechanisms

Guangbo HAO,Jingjun YU,Haiyang LI

Journal Article

Nonlinear analysis and reliability of metallic truss structures

Karim BENYAHI, Youcef BOUAFIA, Salma BARBOURA, Mohand Said KACHI

Journal Article

Observer design for induction motor: an approach based on the mean value theorem

Mohamed Yacine HAMMOUDI,Abdelkarim ALLAG,Mohamed BECHERIF,Mohamed BENBOUZID,Hamza ALLOUI

Journal Article

A numerical wave model with weak nonlinearity and its application ability analysis

Liu Zhongbo,Tang Jun

Journal Article

Geometrical nonlinear deformation model and its experimental study on bimorph giant magnetostrictive thin film

LIU Wei, JIA Zhenyuan, WANG Fuji, ZHANG Yongshun, GUO Dongming

Journal Article

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

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

Journal Article

ApproximateGaussian conjugacy: parametric recursive filtering under nonlinearity,multimodality, uncertainty

Tian-cheng LI, Jin-ya SU, Wei LIU, Juan M. CORCHADO

Journal Article