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General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 1,   Pages 15-24 doi: 10.1007/s11465-009-0015-z

Abstract: such as ARMA, AR, and MA are founded on the normality and stationarity of a system and expressed by a lineardifference equation; therefore, they are strictly limited to the linear system.However, some nonlinear factors are within the practical system; thus, it is difficult to fit the modelThis paper proposes a general expression for linear and nonlinear auto-regressive time series modelsexperiments show that the GNAR model can accurately approximate to the dynamic characteristics of the most nonlinear

Keywords： linear and nonlinear     autoregressive model     system identification     time series analysis    

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Linear and nonlinear elastic analysis of closely spaced strip foundations using Pasternak model

Priyanka GHOSH, S. RAJESH, J. SAI CHAND

Frontiers of Structural and Civil Engineering 2017, Volume 11, Issue 2,   Pages 228-243 doi: 10.1007/s11709-016-0370-x

Abstract: The study considers small strain problem and has been performed using linear as well as nonlinear elasticThe hyperbolic stress-strain relationship has been considered for the nonlinear elastic analysis.The linear elastic analysis has been carried out by deriving the equations for the interference effectof the footings in the framework of Pasternak model equation; whereas, the nonlinear elastic analysisResults obtained from the linear and the nonlinear elastic analysis are presented in terms of non-dimensional

Keywords： bearing capacity     linear and non-linear elasticity     foundation     interaction effect     numerical modeling     Pasternak    

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

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 systemsThe proposed design approach is based on the mean value theorem (MVT) to express the nonlinear errordynamics as a convex combination of known matrices with time varying coefficients as linear parameterUsing the Lyapunov theory, stability conditions are obtained and expressed in terms of linear matrixThe controller gains are then obtained by solving linear matrix inequalities.

Keywords： Takagi-Sugeno (T-S) fuzzy systems     sector nonlinearity     nonlinear controller     linear matrix inequality (LMI) approach     differential mean value theorem (DMVT)     field oriented control (FOC)     linear parameter varying    

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Analysis of Plates and Shells and Its Application

Liu Renhuai

Strategic Study of CAE 2000, Volume 2, Issue 11,   Pages 60-67

Abstract: Now, the classical linear theory of thin plates and shells has matured and already been playing a decisiveHowever, there are still many problems left to be solved in the fields on nonlinear theory of thin platesand shells, and linear theory of thick plates and shells.author did in nearly forty years, which has been well applied to engineering problems, in the areas of nonlinearThe paper also gives an introduction of the author's work on the linear bending of both thick and

Keywords： thin plates and shells     thick plates and shells     nonlinear problem     linear problem     bending     stability     vibration    

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Non linear modeling of three-dimensional reinforced and fiber concrete structures

Fatiha IGUETOULENE, Youcef BOUAFIA, Mohand Said KACHI

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4,   Pages 439-453 doi: 10.1007/s11709-017-0433-7

Abstract: Under the effect of the ascending loading, the behavior of reinforced concrete structures is rather non linearResearch in industry and science aims to extend forward the use of non-linear calculation of fiber concreteThe formulation of the element has been established for modeling the nonlinear behavior of elastic structuresFor steel bi-linear relationship is used.

Keywords： numerical modeling     column and beam     nonlinear analysis     fibers     pious     reinforcement     3D formulation     response    

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Parameter estimation in exponential models by linear and nonlinear fitting methods Article

Ping YANG,Chao-peng WU,Yi-lu GUO,Hong-bo LIU,Hui HUANG,Hang-zhou WANG,Shu-yue ZHAN,Bang-yi TAO,Quan-quan MU,Qiang WANG,Hong SONG

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 3,   Pages 434-444 doi: 10.1631/FITEE.1601683

Abstract: Estimation of unknown parameters in exponential models by linear and nonlinear fitting methods is discussedtheorem and Taylor series expansion, it is proved theoretically that the parameters estimated by the linearNumerical simulation is performed to compare the performance of the linear and nonlinear fitting methodsSimulation results show that the linear method can obtain only a suboptimal estimate of the unknown parametersand that the nonlinear method gives more accurate results.

Keywords： Exponential model     Parameter estimation     Linear least squares     Nonlinear fitting    

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Global Optimization of Nonlinear Blend-Scheduling Problems

Pedro A. Castillo Castillo Pedro M. Castro,Vladimir Mahalec

Engineering 2017, Volume 3, Issue 2,   Pages 188-201 doi: 10.1016/J.ENG.2017.02.005

Abstract: only exhibits the combinatorial nature that is intrinsic to scheduling problems, but also non-convex nonlinearglobal optimization algorithm is proposed to solve a previously published continuous-time mixed-integer nonlinear

Keywords： Global optimization     Nonlinear gasoline blending     Continuous-time scheduling model     Piecewise linear relaxations    

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Nonlinear restoring force identification based on measured time series

Xu Bin,He Jia

Strategic Study of CAE 2011, Volume 13, Issue 9,   Pages 76-82

Abstract:

In this study, a general nonlinear restoring force (NRF) identificationthis approach, the least-squares technique is employed to identify the parameters of an equivalent linearsystem of the nonlinear structure model based on the external excitations and the corresponding response4-story frame structure equipped with smart devices of magneto-rheological (MR) damper to simulate nonlinearResults show that the proposed data-based approaches are capable of identifying the nonlinear restoring

Keywords： nonlinear restoring force identification     MR damper     least-squares techniques     equivalent linear system    

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Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4,   Pages 402-408 doi: 10.1007/s11465-014-0316-8

Abstract: also be extended to the analysis of curved beams, beam buckling, composite beams and geometrically nonlinearIn this study, solving the nonlinear differential equation governing the calculation of the large rotationIn this paper nonlinear differential equations governing on this system are solved analytically by Akbari-GanjiMoreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easilyThe results reveal that this method is very effective and simple, and can be applied for other nonlinear

Keywords： AGM     critical load of columns     large deformations of beam     nonlinear differential equation    

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building isolation systems under multi-level earthquake excitations: Part I, conceptual design and nonlinear

Min-Ho CHEY,J. Geoffrey CHASE,John B. MANDER,Athol J. CARR

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 3,   Pages 286-296 doi: 10.1007/s11709-015-0307-9

Abstract: Based on nonlinear structural models, including P-delta effects and modified Takeda hysteresis, the inelastic

Keywords： tuned mass damper     smart building isolation     resettable device     non-linear     statistical assessment    

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Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 4,   Pages 351-362 doi: 10.1007/s11465-016-0407-9

Abstract:

A linear oscillating motor is an electromagnetic actuator that can achieve short-stroke reciprocatingIt has been widely used in linear pump applications as the source of power and motion.However, because of the demand of high power density in a linear actuation system, the performance oflinear oscillating motors has been the focus of studies and deserves further research for high powerlinear pump applications.

Keywords： linear oscillating motor     linear pump     magnetic field     motor optimization    

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Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Frontiers of Environmental Science & Engineering 2009, Volume 3, Issue 3,   Pages 320-324 doi: 10.1007/s11783-009-0030-7

Abstract: The best-fit equations of linear and non-linear forms of the two widely used kinetic models, namely pseudo-first-orderThe results show that the non-linear forms of pseudo-first-order and pseudo-second-order models weremore suitable than the linear forms for fitting the experimental data.The experimental kinetics may have been distorted by linearization of the linear kinetic equations, andthus, the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters

Keywords： adsorption     pseudo-first order     pseudo-second order     kinetic model     linear method     non-linear method    

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The Review of Ascertainable Fatigue Cumulative Damage Rule

Yang Xiaohua,Yao Weixing,Duan Chengmei

Strategic Study of CAE 2003, Volume 5, Issue 4,   Pages 81-87

Abstract:

Famous Miner - Palmgren linear damage rule has been presented for 70 years.One is linear cumulative damage rule. The other is non-linear cumulative damage rule (NLCDR).

Keywords： fatigue     linear and nonlinear     cumulative damage     damage mechanics     energy    

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Nonlinear numerical simulation of punching shear behavior of reinforced concrete flat slabs with shear-heads

Dan V. BOMPA, Ahmed Y. ELGHAZOULI

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 2,   Pages 331-356 doi: 10.1007/s11709-019-0596-5

Abstract: reinforced concrete flat slabs, provided with fully-embedded shear-heads, through detailed three-dimensional nonlinearValidations of the adopted nonlinear finite element procedures are carried out against experimental results

Keywords： non-linear numerical modelling     concrete damage plasticity     RC flat slabs     shear-heads     punching shear    

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New nonlinear stiffness actuator with predefined torque‒deflection profile

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 1, doi: 10.1007/s11465-022-0721-3

Abstract: A nonlinear stiffness actuator (NSA) could achieve high torque/force resolution in low stiffness range

Keywords： compliant actuator     nonlinear stiffness actuator     nonlinear spring     predefined torque−deflection profile    

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Title Author Date Type Operation

General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Journal Article

Linear and nonlinear elastic analysis of closely spaced strip foundations using Pasternak model

Priyanka GHOSH, S. RAJESH, J. SAI CHAND

Journal Article

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

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

Journal Article

Analysis of Plates and Shells and Its Application

Liu Renhuai

Journal Article

Non linear modeling of three-dimensional reinforced and fiber concrete structures

Fatiha IGUETOULENE, Youcef BOUAFIA, Mohand Said KACHI

Journal Article

Parameter estimation in exponential models by linear and nonlinear fitting methods

Ping YANG,Chao-peng WU,Yi-lu GUO,Hong-bo LIU,Hui HUANG,Hang-zhou WANG,Shu-yue ZHAN,Bang-yi TAO,Quan-quan MU,Qiang WANG,Hong SONG

Journal Article

Global Optimization of Nonlinear Blend-Scheduling Problems

Pedro A. Castillo Castillo Pedro M. Castro,Vladimir Mahalec

Journal Article

Nonlinear restoring force identification based on measured time series

Xu Bin,He Jia

Journal Article

Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Journal Article

building isolation systems under multi-level earthquake excitations: Part I, conceptual design and nonlinear

Min-Ho CHEY,J. Geoffrey CHASE,John B. MANDER,Athol J. CARR

Journal Article

Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Journal Article

Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Journal Article

The Review of Ascertainable Fatigue Cumulative Damage Rule

Yang Xiaohua,Yao Weixing,Duan Chengmei

Journal Article

Nonlinear numerical simulation of punching shear behavior of reinforced concrete flat slabs with shear-heads

Dan V. BOMPA, Ahmed Y. ELGHAZOULI

Journal Article

New nonlinear stiffness actuator with predefined torque‒deflection profile

Journal Article