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Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method

H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI

Frontiers of Mechanical Engineering 2011, Volume 6, Issue 4,   Pages 435-441 doi: 10.1007/s11465-011-0243-x

Abstract:

Nonlinear functions are crucial points and terms in engineering problems.method called the max-min method for presenting an accurate approximate analytical solution to strong nonlinearIt can solve many linear or nonlinear differential equations without the tangible restriction of sensitivityto the degree of the nonlinear term.

Keywords： min-max method     nonlinear oscillation     duffing equation     mathematical pendulum     He’s energy balance method    

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Parametric oscillation of cables and aerodynamic effect

Yong XIA, Jing ZHANG, Youlin XU, Yozo FUJINO,

Frontiers of Structural and Civil Engineering 2010, Volume 4, Issue 3,   Pages 321-325 doi: 10.1007/s11709-010-0028-z

Abstract: This paper addresses the aerodynamic effect on the nonlinear oscillation, particularly parametric vibration

Keywords： parametric vibration     cables     cable-stayed bridge     nonlinear vibration    

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Chaos Engineering

Long Yunjia

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

Abstract:

The world is nonlinear, linearity is oly its approximate description.The discovery of chaos has showed that some deterministic nonlinear systems exhibit inner random behaviorChaos Engineering is a new nonlinear engineering science to research the practical use of chaos and its

Keywords： nonlinear     chaos     oscillation     vibration     wave    

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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 nonlinear

Keywords： LFO     bifurcation theory     nonlinear     singularity    

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Evaluation of the influence of El Niño–Southern Oscillation on air quality in southern China from long-term

Frontiers of Environmental Science & Engineering 2022, Volume 16, Issue 2, doi: 10.1007/s11783-021-1460-0

Abstract:

•Strong ENSO influence on AOD is found in southern China region.

Keywords： El Niño–Southern Oscillation     Aerosol concentration     Aerosol particle size     Contribution separation    

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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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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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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: 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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Evaluation of transmissibility for a class of nonlinear passive vibration isolators

Z. K. PENG, Z. Q. LANG, G. MENG

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 401-409 doi: 10.1007/s11465-012-0349-9

Abstract: concept of Output Frequency Response Functions (OFRFs) is applied to represent the transmissibility of nonlinearcharacteristic parameters is derived for a wide class of nonlinear isolators that have nonlinear anti-symmetricdamping characteristics and a comprehensive pattern about how the nonlinear damping characteristic parametersThese conclusions are of significant importance in the analysis and design of the nonlinear vibrationisolators with nonlinear anti-symmetric damping.

Keywords： nonlinear vibration     volterra series     Output Frequency Response Functions (OFRFs)     nonlinear damping     vibration    

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Numerical analysis of nonlinear dynamic behavior of earth dams

Babak EBRAHIMIAN

Frontiers of Structural and Civil Engineering 2011, Volume 5, Issue 1,   Pages 24-40 doi: 10.1007/s11709-010-0082-6

Abstract: The numerical investigation employs a fully nonlinear dynamic finite difference analysis incorporating

Keywords： earth dam     numerical     nonlinear response     dynamic analysis     earthquake     dam height    

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Depth of cut models for multipass abrasive waterjet cutting of alumina ceramics with nozzle oscillation

Jun WANG

Frontiers of Mechanical Engineering 2010, Volume 5, Issue 1,   Pages 19-32 doi: 10.1007/s11465-009-0082-1

Abstract: depth of cut in multipass abrasive waterjet (AWJ) cutting of alumina ceramics with controlled nozzle oscillationincrease the depth of cut by an average of 50.8% as compared to single pass cutting without nozzle oscillation

Keywords： abrasive waterjet     engineering ceramics     depth of cut     cutting performance     nozzle oscillation     machining    

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Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators

Hamid M. SEDIGHI, Hassen M. OUAKAD

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 6,   Pages 1520-1530 doi: 10.1007/s11709-020-0672-x

Abstract: this study, for the first time, we investigate the nonlocality superimposed to the size effects on the nonlineara reduced-order model based on the differential quadrature method (DQM) to discretize the governing nonlinearequation of motion and acquire a discretized-parameter nonlinear model of the system.The structural nonlinear behavior of the system assuming both strain and velocity gradient theories is

Keywords： velocity gradient elasticity theory     nanotube resonators     differential-quadrature method     nonlinear vibration    

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Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 2,   Pages 203-214 doi: 10.1007/s11465-009-0022-0

Abstract: functional requirements, structural characteristics, design parameters and uncontrollable variables of nonlinearFor a nonlinear mechanical system, relationships among structural characteristics of the system, design

Keywords： robust     design     nonlinear    

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Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media

WU Yuching, ZHU Cimian

Frontiers of Structural and Civil Engineering 2007, Volume 1, Issue 4,   Pages 464-473 doi: 10.1007/s11709-007-0063-6

Abstract: particle, is generated to analyze the global behavior of multiple-material aggregates of materially nonlinear

Keywords： nonlinear viscoplastic     iterative     behavior     multiple-material    

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Vibration suppression of speed-controlled robots with nonlinear control

Paolo BOSCARIOL,Alessandro GASPARETTO

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 2,   Pages 204-212 doi: 10.1007/s11465-016-0380-3

Abstract:

In this paper, a simple nonlinear control strategy for the simultaneous position tracking and vibration

Keywords： industrial robot     nonlinear control     vibration damping     model-free control     motion control    

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Title Author Date Type Operation

Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method

H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI

Journal Article

Parametric oscillation of cables and aerodynamic effect

Yong XIA, Jing ZHANG, Youlin XU, Yozo FUJINO,

Journal Article

Chaos Engineering

Long Yunjia

Journal Article

The nonlinear singularity phenomenon of low frequency oscillation in power system

Ma Jinglan,Wang Wei,Wan Jingsheng,Zhang Yongli

Journal Article

Evaluation of the influence of El Niño–Southern Oscillation on air quality in southern China from long-term

Journal Article

New nonlinear stiffness actuator with predefined torque‒deflection profile

Journal Article

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

Zhitian ZHANG

Journal Article

General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Journal Article

Evaluation of transmissibility for a class of nonlinear passive vibration isolators

Z. K. PENG, Z. Q. LANG, G. MENG

Journal Article

Numerical analysis of nonlinear dynamic behavior of earth dams

Babak EBRAHIMIAN

Journal Article

Depth of cut models for multipass abrasive waterjet cutting of alumina ceramics with nozzle oscillation

Jun WANG

Journal Article

Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators

Hamid M. SEDIGHI, Hassen M. OUAKAD

Journal Article

Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

Journal Article

Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media

WU Yuching, ZHU Cimian

Journal Article

Vibration suppression of speed-controlled robots with nonlinear control

Paolo BOSCARIOL,Alessandro GASPARETTO

Journal Article