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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: typical time series models such as ARMA, AR, and MA are founded on the normality and stationarity of a systemand expressed by a linear difference equation; therefore, they are strictly limited to the linear systemHowever, 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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Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact

Houxin SHE, Chaofeng LI, Qiansheng TANG, Hui MA, Bangchun WEN

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 133-150 doi: 10.1007/s11465-019-0557-7

Abstract: This study derived a novel computation algorithm for a mechanical system with multiple friction contactinterfaces that is well-suited to the investigation of nonlinear mode characteristic of a coupling systemThereafter, the computed nonlinear parameters are applied to rebuild the matrices of the coupling systemsystem subjected to dry friction.characteristics in such nonlinear systems.

Keywords： coupling vibration     nonlinear mode     original algorithm     contact interface    

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An integrated approach for machine-learning-based system identification of dynamical systems under control: application towards the model predictive control of a highly nonlinear reactor system

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 2,   Pages 237-250 doi: 10.1007/s11705-021-2058-6

Abstract: This work articulates an integrated system identification procedure for deriving black-box nonlinearcontinuous-time multiple-input multiple-output system models for nonlinear model predictive control.features of both output and manipulated variables were trained on simulated data and integrated into a nonlinearmodel predictive controller for a highly nonlinear continuous stirred tank reactor system.This demonstration of how such system models could be identified for nonlinear model predictive control

Keywords： nonlinear model predictive control     black-box modeling     continuous-time system identification     machine    

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Model-based nonlinear control of hydraulic servo systems: Challenges, developments and perspectives

Jianyong YAO

Frontiers of Mechanical Engineering 2018, Volume 13, Issue 2,   Pages 179-210 doi: 10.1007/s11465-018-0464-3

Abstract:

Hydraulic servo system plays a significant role in industries, and usually acts as a core point incontrol methods have been well established, advanced controller design methods for hydraulic servo systemto benefit from prior knowledge of the servo valve controlled hydraulic system.In this paper, a discussion for challenges in model-based nonlinear control, latest developments andbrief perspectives of hydraulic servo systems are presented: Modelling uncertainty in hydraulic system

Keywords： hydraulic servo system     adaptive control     robust control     nonlinear friction     disturbance compensation     repetitive    

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Analysis of stability and nonlinear response of rotor system with elliptical sliding bearing supports

LU Yanjun, LIU Heng, YU Lie, LI Qi, JIANG Ming, ZHANG Zhiyu

Frontiers of Mechanical Engineering 2007, Volume 2, Issue 1,   Pages 37-45 doi: 10.1007/s11465-007-0006-x

Abstract: Consequently, nonlinear oil film forces and their Jacobian matrices are calculated simultaneously, andcalculate equilibrium position and critical speed corresponding to Hopf bifurcation point of bearing-rotor systemThe timescale, i.e., the unknown whirling period of Hopf bifurcation solution of bearing-rotor systemThe nonlinear unbalanced periodic responses of the system are obtained by using PNF method and path-followingThe numerical results revealed the rich and complex nonlinear behavior of the system, such as periodic

Keywords： computational     corrector mechanism     predictor corrector     multisolution     quasiperiodic    

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Application of direct adaptive fuzzy slidingmode control into a class of non-affine discrete nonlinear Article

Xiao-yu ZHANG

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 12,   Pages 1331-1343 doi: 10.1631/FITEE.1500318

Abstract: Direct adaptive fuzzy sliding mode control design for discrete non-affine nonlinear systems is presentedTo obtain adaptiveness and eliminate chattering of sliding mode control, a dynamic fuzzy logical systemThe overall system is adaptive, asymptotically stable, and chattering-free.

Keywords： Nonlinear system     Discrete system     Dynamic fuzzy logical system     Direct adaptive     Sliding mode control    

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reference tracking control design for a class of nonlinear systems with time-varying delays

Mei-qin LIU,Hai-yang CHEN,Sen-lin ZHANG

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 9,   Pages 759-768 doi: 10.1631/FITEE.1500053

Abstract: This paper investigates the trajectory tracking control for a class of nonlinear systems with timevaryingA unified model consisting of a linear delayed dynamic system and a bounded static nonlinear operatoris introduced, which covers most of the nonlinear systems with bounded nonlinear terms, such as theSecond, the performance analysis of the closed-loop system including this unified model, referenceFinally, a CSTR system is provided to demonstrate the effectiveness of the established control laws.

Keywords： H∞     reference tracking     Nonlinear system     State feedback control     Time-varying delays     Unified model    

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Knowledge-Based Variable Structure Decoupling Control of a Nonlinear Multivariable System

Tu Chengyuan,Zeng Yanjun

Strategic Study of CAE 2001, Volume 3, Issue 10,   Pages 48-52

Abstract:

A knowledge-based variable-structure decoupling is developed, and be utilized to control a nonlinearmultivariable system, so as to avoid the model-establishing process, especially avoid large amount ofhave been successively utilized to the set-point temperature control of a 3 × 3 strong coupled system

Keywords： nonlinear multivariable system     decoupling control     knowledge based variable structure decoupling    

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The nonlinear singularity phenomenon of low frequency oscillation in power system

Ma Jinglan,Wang Wei,Wan Jingsheng,Zhang Yongli

Strategic Study of CAE 2009, Volume 11, Issue 8,   Pages 93-96

Abstract:

LFO (Low Frequency Oscillation) is a main aspect that affects power systeminherent reason that causes LFO is discussed.With Hopf bifurcation theory, it is analyzed that the nonlinearsingularity phenomenon happens close to the critical points in a single-infinite power system of four-rankThe study indicates that because of the Hopf bifurcation, singularity phenomenon in the power system

Keywords： LFO     bifurcation theory     nonlinear     singularity    

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Numerical analysis of vehicle-bridge coupling vibration concerning nonlinear stress-dependent damping

Pengfei LI; Jinquan ZHANG; Shengqi MEI; Zhenhua DONG; Yan MAO

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 2,   Pages 239-249 doi: 10.1007/s11709-021-0804-y

Abstract: Damping is known to have a considerable influence on the dynamic behavior of bridges. The fixed damping ratios recommended in design codes do not necessarily represent the complicated damping characteristics of bridge structures. This study investigated the application of stress-dependent damping associated with vehicle-bridge coupling vibration and based on that investigation proposed the stress-dependent damping ratio. The results of the investigation show that the stress-dependent damping ratio is significantly different from the constant damping ratio (5%) defined in the standard specification. When vehicles travel at speeds of 30, 60, and 90, the damping ratios of the bridge model are 3.656%, 3.658%, and 3.671%, respectively. The peak accelerations using the regular damping ratio are 18.9%, 21.3%, and 14.5% of the stress-dependent damping ratio, respectively. When the vehicle load on the bridge is doubled, the peak acceleration of the mid-span node increases by 5.4 times, and the stress-related damping ratio increases by 2.1%. A corrugated steel-web bridge is being used as a case study, and the vibration response of the bridge is compared with the measured results. The acceleration response of the bridge which was calculated using the stress-dependent damping ratio is significantly closer to the measured acceleration response than that using the regular damping ratio.

Keywords： vehicle-bridge vibration system     dynamic analysis     stress-dependent damping     energy dissipation    

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Nonlinear analysis of pre-tensioned glass wall facade by stability function with initial imperfection

Siu-Lai CHAN, Yaopeng LIU, Andy LEE,

Frontiers of Structural and Civil Engineering 2010, Volume 4, Issue 3,   Pages 376-382 doi: 10.1007/s11709-010-0086-2

Abstract: The breakage of glass panes in this type of system occurs occasionally, likely to be due to error inin addition to other factors like glass impurity and stress concentration around opening in a spider systemThe resistance of lateral wind pressure of the system makes use of high tension force coupled with the

Keywords： tension system     glass wall     nonlinear analysis     pre-tensioning     second-order analysis    

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Nonlinear Science and Its Medical Applications

Tu Chengyuan,Zeng Yanjun

Strategic Study of CAE 2003, Volume 5, Issue 8,   Pages 45-49

Abstract:

The fractal-dimension theory and the Shannom entropy theory of nonlinear science are briefly described

Keywords： complicated and large system     nonlinear     fractal theory     fractal-dimension     Shannom entropy     AF(atrial fibrillation    

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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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Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 1,   Pages 58-70 doi: 10.1007/s11465-014-0289-7

Abstract: paper, a simplified model of Tower Cranes has been presented in order to investigate and analyze the nonlineardifferential equation governing on the presented system in three different cases by Algebraic Methodresults have been indicated that this approach is very efficient and easy so it can be applied for other nonlinearengineering, etc. make AGM be a powerful and useful role model for researchers in order to solve complicated nonlinear

Keywords： Algebraic Method (AGM)     tower crane     oscillating system     angular frequency    

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Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans

Zhitian ZHANG

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 3,   Pages 605-617 doi: 10.1007/s11709-018-0499-x

Abstract: Mean wind response induced incompatibility and nonlinearity in bridge aerodynamics is discussed, where the mean wind and aeroelastic loads are applied simultaneously in time domain. A kind of incompatibility is found during the simultaneous simulation of the mean wind and aeroelastic loads, which leads to incorrect mean wind structural responses. It is found that the mathematic expectations (or limiting characteristics) of the aeroelastic models are fundamental to this kind of incompatibility. In this paper, two aeroelastic models are presented and discussed, one of indicial-function-denoted (IF-denoted) and another of rational-function-denoted (RF-denoted). It is shown that, in cases of low wind speeds, the IF-denoted model reflects correctly the mean wind load properties, and results in correct mean structural responses; in contrast, the RF-denoted model leads to incorrect mean responses due to its nonphysical mean properties. At very high wind speeds, however, even the IF-denoted model can lead to significant deviation from the correct response due to steady aerodynamic nonlinearity. To solve the incompatibility at high wind speeds, a methodology of subtraction of pseudo-steady effects from the aeroelastic model is put forward in this work. Finally, with the method presented, aeroelastic nonlinearity resulted from the mean wind response is investigated at both moderate and high wind speeds.

Keywords： bridge     aerodynamics     nonlinear     aeroelastic model     Pseudo-steady     mean wind loads    

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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

Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact

Houxin SHE, Chaofeng LI, Qiansheng TANG, Hui MA, Bangchun WEN

Journal Article

An integrated approach for machine-learning-based system identification of dynamical systems under control: application towards the model predictive control of a highly nonlinear reactor system

Journal Article

Model-based nonlinear control of hydraulic servo systems: Challenges, developments and perspectives

Jianyong YAO

Journal Article

Analysis of stability and nonlinear response of rotor system with elliptical sliding bearing supports

LU Yanjun, LIU Heng, YU Lie, LI Qi, JIANG Ming, ZHANG Zhiyu

Journal Article

Application of direct adaptive fuzzy slidingmode control into a class of non-affine discrete nonlinear

Xiao-yu ZHANG

Journal Article

reference tracking control design for a class of nonlinear systems with time-varying delays

Mei-qin LIU,Hai-yang CHEN,Sen-lin ZHANG

Journal Article

Knowledge-Based Variable Structure Decoupling Control of a Nonlinear Multivariable System

Tu Chengyuan,Zeng Yanjun

Journal Article

The nonlinear singularity phenomenon of low frequency oscillation in power system

Ma Jinglan,Wang Wei,Wan Jingsheng,Zhang Yongli

Journal Article

Numerical analysis of vehicle-bridge coupling vibration concerning nonlinear stress-dependent damping

Pengfei LI; Jinquan ZHANG; Shengqi MEI; Zhenhua DONG; Yan MAO

Journal Article

Nonlinear analysis of pre-tensioned glass wall facade by stability function with initial imperfection

Siu-Lai CHAN, Yaopeng LIU, Andy LEE,

Journal Article

Nonlinear Science and Its Medical Applications

Tu Chengyuan,Zeng Yanjun

Journal Article

New nonlinear stiffness actuator with predefined torque‒deflection profile

Journal Article

Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

Journal Article

Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans

Zhitian ZHANG

Journal Article