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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. Actual and physical problems can be solved by solving and processing such functions. Thus, most scientists and engineers focus on solving these equations. This paper presents a novel method called the max-min method for presenting an accurate approximate analytical solution to strong nonlinear oscillators. It can solve many linear or nonlinear differential equations without the tangible restriction of sensitivity to the degree of the nonlinear term. It is also quite convenient due to the reduction in the size of calculations. The algorithm suggests a promising approach and is systematically illustrated step by step.

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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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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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 behavior. Over the past two decades, chaos was such a universal phenomenon that it was reported virtually in every scientific discipline ： mathematics, physics, chemistry, and even the social sciences. The main interest for theoretical academicians has been to investigate the essence of chaos. At the same time, practical applicatioins of chaos have been widely appreciated in many engineering fields such as information engineering, system engineering, medical engineering, agricultural engineering, electrical engineering，biological engineering, mechanical engineering, civil engineering, etc. Chaos Engineering is a new nonlinear engineering science to research the practical use of chaos and its fundamental theory. In this paper, the object, definition, concept, method, theory and application of modern Chaos Engineering are summarized. Some works done by the author and the recent advances are introduced. The fcx:us of Chaos Engineering research and development in national economy and national defense may include chaos analytic technique, chaos control technique and chaos synthetic technique.

Keywords： nonlinear     chaos     oscillation     vibration     wave    

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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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Oscillation frequency of simplified arterial tubes

Hui AN, Fan HE, Lingxia XING, Xiaoyang LI

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 3,   Pages 300-304 doi: 10.1007/s11465-009-0038-5

Abstract: To construct the spatial kinetic equation of an arterial tube and obtain its radial natural frequency, a linear-elastic and small deformation condition is assumed. The theoretical analysis is first presented and the finite element method is then used to numerically simulate the spatial kinematics. The results show that the first-order frequency is 15.8 Hz and the obtained exact analytical solutions agree well with numerical solutions, which proves that the theoretical analysis and numerical simulation are both correct.

Keywords： spatial kinematics     natural frequency     finite element method    

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Improvement to observability measures of LFO modes in power systems with DFIGs

Shenghu LI

Frontiers in Energy 2021, Volume 15, Issue 2,   Pages 539-549 doi: 10.1007/s11708-019-0617-z

Abstract: Observation of the low-frequency oscillation (LFO) modes in power systems is important to design the

Keywords： wind power system     low-frequency oscillation (LFO)     observability measure     sensitivity     doubly-fed induction    

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Effect of Radial Porosity Oscillation on the Thermal Performance of Packed Bed Latent Heat Storage Article

H. B. Liu, C. Y. Zhao

Engineering 2021, Volume 7, Issue 4,   Pages 515-525 doi: 10.1016/j.eng.2020.05.020

Abstract: can impact the packing arrangement of phase change material (PCM) capsules, inducing radial porosity oscillationactual-arrangement-based three-dimensional packed bed LHS model was built to consider the radial porosity oscillationin the packed bed, the corresponding relationships between the arrangement of capsules and porosity oscillation

Keywords： Packed bed latent heat storage     Radial porosity oscillation     Fluid flow     Heat transfer     Diameter ratio    

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Investigation of vortical flows over oscillating body using fast Lagrangian vortex method

Baoshan ZHU ,

Frontiers in Energy 2009, Volume 3, Issue 3,   Pages 297-306 doi: 10.1007/s11708-009-0010-4

Abstract: A computational method facilitating long-time and high-resolution unsteady vortical flows is developed with the advantages of the discrete vortex methods. Both the velocity and pressure distribution of the flow field are calculated by integral formulations in combination with a fast summation algorithm. The vorticity field is described by Lagrangian representation, which is well suited to the moving boundary. Viscosity diffusion of the vorticity is considered with the core spreading model corrected by an adaptive splitting and merging algorithm. The effectiveness of the present method is examined by comparing the numerical results of unsteady separated flows which pass a cylinder and a thin cambered blade undergoing rotational oscillations with available experimental results. Interesting results about vortex shedding patterns and lock-in characteristics are provided for the thin cambered blade.

Keywords： unsteady vortical flows     fast vortex method     vortex shedding     rotational oscillation     thin cambered blade    

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Characteristic of the equivalent impedance for an Article

Zhi-zhong TAN, Hong ZHU, Jihad H. ASAD, Chen XU, Hua TANG

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 12,   Pages 2070-2081 doi: 10.1631/FITEE.1700037

Abstract: non-regular × RLC network with an arbitrary boundary is studied based on the resistance formula, and the oscillation

Keywords： RLC network     Resonance properties     Oscillation characteristics     Amplitude-frequency    

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Large-Scale Renewable Energy Transmission by HVDC: Challenges and Proposals Review

Weisheng Wang, Guanghui Li, Jianbo Guo

Engineering 2022, Volume 19, Issue 12,   Pages 252-267 doi: 10.1016/j.eng.2022.04.017

Abstract: New stability issues, such as broadband oscillation and transient over-voltage, have emerged, causingIn this paper, the mechanisms of broadband oscillation and transient over-voltage are revealed, and analytical

Keywords： Broadband oscillation     Future power system     HVDC transmission     Renewable energy generation     Transient over-voltage    

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Study on the Oscillation of a Uniform Cylinder in Front of Two Vertical Walls Intersecting Normally

Ning Dezhi,Teng Bin

Strategic Study of CAE 2003, Volume 5, Issue 5,   Pages 84-91

Abstract:

Based on the image theory, the oscillation of a cylinder in front of two vertical walls intersecting

Keywords： added mass     radiation damping     image theory     vertical wall     cylinder    

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A simple multi-wave algorithm for the uncapacitated facility location problem

Fred GLOVER, Saïd HANAFI, Oualid GUEMRI, Igor CREVITS

Frontiers of Engineering Management 2018, Volume 5, Issue 4,   Pages 451-465 doi: 10.15302/J-FEM-2018038

Abstract:

The multi-wave algorithm (Glover, 2016) integrates tabu search and strategic oscillation utilizing

Keywords： discrete optimization     UFLP     multi-wave optimization     strategic oscillation     tabu search    

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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 system

Keywords： LFO     bifurcation theory     nonlinear     singularity    

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A Robustness Analysis of CMIP5 Models over the East Asia-Western North Pacific Domain

Tianjun Zhou, Xiaolong Chen, Bo Wu, Zhun Guo, Yong Sun, Liwei Zou, Wenmin Man, Lixia Zhang, Chao He

Engineering 2017, Volume 3, Issue 5,   Pages 773-778 doi: 10.1016/J.ENG.2017.05.018

Abstract: Weaknesses are also evident in simulations of the interannual amplitude, such as El Niño-Southern Oscillation

Keywords： East Asian monsoon     Western North Pacific climate     El Niñ     o-Southern Oscillation     Past climate change    

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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

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

Journal Article

Chaos Engineering

Long Yunjia

Journal Article

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

Jun WANG

Journal Article

Oscillation frequency of simplified arterial tubes

Hui AN, Fan HE, Lingxia XING, Xiaoyang LI

Journal Article

Improvement to observability measures of LFO modes in power systems with DFIGs

Shenghu LI

Journal Article

Effect of Radial Porosity Oscillation on the Thermal Performance of Packed Bed Latent Heat Storage

H. B. Liu, C. Y. Zhao

Journal Article

Investigation of vortical flows over oscillating body using fast Lagrangian vortex method

Baoshan ZHU ,

Journal Article

Characteristic of the equivalent impedance for an

Zhi-zhong TAN, Hong ZHU, Jihad H. ASAD, Chen XU, Hua TANG

Journal Article

Large-Scale Renewable Energy Transmission by HVDC: Challenges and Proposals

Weisheng Wang, Guanghui Li, Jianbo Guo

Journal Article

Study on the Oscillation of a Uniform Cylinder in Front of Two Vertical Walls Intersecting Normally

Ning Dezhi,Teng Bin

Journal Article

A simple multi-wave algorithm for the uncapacitated facility location problem

Fred GLOVER, Saïd HANAFI, Oualid GUEMRI, Igor CREVITS

Journal Article

The nonlinear singularity phenomenon of low frequency oscillation in power system

Ma Jinglan,Wang Wei,Wan Jingsheng,Zhang Yongli

Journal Article

A Robustness Analysis of CMIP5 Models over the East Asia-Western North Pacific Domain

Tianjun Zhou, Xiaolong Chen, Bo Wu, Zhun Guo, Yong Sun, Liwei Zou, Wenmin Man, Lixia Zhang, Chao He

Journal Article