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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 nonlineardifferential equations.

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

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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 rotationBy considering the small slope in the linearization of the governing differential equation, the solvingIn 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 easily

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

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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 2,   Pages 177-190 doi: 10.1007/s11465-014-0288-8

Abstract:

In the present paper, three complicated nonlinear differential equations in the field of vibrationAGM and numerical method, it is possible to indicate that AGM can be successfully applied for various differentialis not only very effective and simple, but also reliable, and can be applied for other complicated nonlinear

Keywords： Algebraic Method (AGM)     Angular Frequency     Vanderpol     Rayleigh     Duffing    

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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 nonlinearWe use a reduced-order model based on the differential quadrature method (DQM) to discretize the governingnonlinear equation 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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High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Strategic Study of CAE 2003, Volume 5, Issue 8,   Pages 35-44

Abstract:

This article presents high differential feedback control idea that does not rely on the model of theIts control objective is that the output of the system and its differential and high differentials approximatethe given reference input and its differential and high order differentials.Based on the idea, the high order differentiator (HOD) that is well able to extract differential andnonlinear SISO and MIMO systems with unknown disturbance are presents respectively, the analysis of

Keywords： high order differentiator     high differential feedback controller     stability     robustness     decoupling control    

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Nonlinear sealing force of a seawater balance valve used in an 11000-meter manned submersible

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 1, doi: 10.1007/s11465-022-0726-y

Abstract: The accuracy of the equation is evaluated by comparing the independent FEM data to the equation data.Results of the comparison show good agreement, and the difference between the independent FEM data and equationFinally, the minimum sealing force equation is applied in a balance valve to be experimented using aThe balance valve designed through the minimum sealing force equation is leak-free in the experiment.Thus, the minimum sealing force equation is suitable for the ultrahigh pressure balance valve and has

Keywords： seawater balance valve     sealing performance     hybrid ANE model     FEM     minimum sealing force equation    

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Stability and coupling dynamic behavior of nonlinear journal active electromagnetic bearing rotor system

LU Yanjun, HEI Di, WANG Yuan, DAI Rong, LU Yanjun, LIU Heng, YU Lie

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 2,   Pages 193-199 doi: 10.1007/s11465-008-0023-4

Abstract: equations are formulated by combining equations for rotor motion and decentralized proportional integral differentialNonlinear unbalanced periodic motions and their stability margins are obtained using the shooting method

Keywords： proportional integral     bifurcation     corresponding     integral differential     predictor-corrector mechanism    

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Analytical method of capsizing probability in the time domain for ships in the random beam seas

LIU Liqin, TANG Yougang, LI Hongxia

Frontiers of Structural and Civil Engineering 2007, Volume 1, Issue 3,   Pages 361-366 doi: 10.1007/s11709-007-0048-5

Abstract: The nonlinear differential equation of the rolling motion of ships in random beam seas was establishedconsidering nonlinear damping, nonlinear restoring moment, and random waves.The random rolling differential equation was solved in the time domain by applying the harmonic acceleration

Keywords： different     survival probability     different significant     nonlinear differential     narrowband    

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Effect of Discharge Facilities for Unusual Flood Release on Dam Safety

Wu Shiqiang,Jiang Shuhai

Strategic Study of CAE 2000, Volume 2, Issue 12,   Pages 66-72

Abstract: a dam which constructs two special tunnels for unusual flood release, a method based on stochastic differentialequation is developed in this paper.

Keywords： dam safety     flood discharge     risk analysis     stochastic differential equation    

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Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem Article

Xue-song CHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1479-1487 doi: 10.1631/FITEE.1601101

Abstract: We investigate the use of an approximation method for obtaining near-optimal solutions to a kind of nonlinearGalerkin approximation with Legendre polynomials (GALP) for GHJB equations has not been applied to nonlinearNumerical examples show that the update control laws converge to the optimal control for nonlinear CT

Keywords： Generalized Hamilton-Jacobi-Bellman equation     Nonlinear optimal control     Galerkin approximation     Legendre    

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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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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 systemsA simple systematic and useful synthesis method is proposed based on the use of the differential meanThe proposed design approach is based on the mean value theorem (MVT) to express the nonlinear error

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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Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous

Ridha CHEIKH, Arezki MENACER, L. CHRIFI-ALAOUI, Said DRID

Frontiers in Energy 2020, Volume 14, Issue 1,   Pages 180-191 doi: 10.1007/s11708-018-0537-3

Abstract: In this paper, the method for the nonlinear control design of a permanent magnet synchronous generatorThe method is based on the differential geometric feedback linearization technique (DGT) and the Lyapunov

Keywords： permanent magnet synchronous generator     wind energy conversion system     stochastic     differential geometric    

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Nonlinear programming control using differential aerodynamic drag for CubeSat formation flying Article

Sheng-chao DENG, Tao MENG, Zhong-he JIN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 7,   Pages 867-881 doi: 10.1631/FITEE.1500493

Abstract: We conduct aerodynamics analysis and design a multidimensional nonlinear constraint programming (MNLP

Keywords： QB50     ZJUCubeSat     Atmospheric drag     Formation flying    

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Unified construction of two n-order circuit networks with diodes Research Article

Xiaoyan LIN, Zhizhong TAN

Frontiers of Information Technology & Electronic Engineering 2023, Volume 24, Issue 2,   Pages 289-298 doi: 10.1631/FITEE.2200360

Abstract: In this paper, two different -order topological circuit networks are connected by diodes to establish a unified network model, which is a previously unexplored problem. The network model includes not only five resistive elements but also diode devices, so the network contains many different network types. This problem can be solved through three main steps: First, the network is simplified into two different equivalent circuit models. Second, the model is established by applying Kirchhoff’s law. Finally, the two equations with similar structures are processed uniformly, and the general solutions of the s are obtained by using the transformation technique. As an example, several interesting specific results are deduced. Our study on the network model has significant value, as it can be applied to relevant interdisciplinary research.

Keywords： Complex networks     Equivalent transform     Nonlinear difference equation     Equivalent resistance    

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Title Author Date Type Operation

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

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

Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Journal Article

Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators

Hamid M. SEDIGHI, Hassen M. OUAKAD

Journal Article

High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Journal Article

Nonlinear sealing force of a seawater balance valve used in an 11000-meter manned submersible

Journal Article

Stability and coupling dynamic behavior of nonlinear journal active electromagnetic bearing rotor system

LU Yanjun, HEI Di, WANG Yuan, DAI Rong, LU Yanjun, LIU Heng, YU Lie

Journal Article

Analytical method of capsizing probability in the time domain for ships in the random beam seas

LIU Liqin, TANG Yougang, LI Hongxia

Journal Article

Effect of Discharge Facilities for Unusual Flood Release on Dam Safety

Wu Shiqiang,Jiang Shuhai

Journal Article

Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem

Xue-song CHEN

Journal Article

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

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

Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous

Ridha CHEIKH, Arezki MENACER, L. CHRIFI-ALAOUI, Said DRID

Journal Article

Nonlinear programming control using differential aerodynamic drag for CubeSat formation flying

Sheng-chao DENG, Tao MENG, Zhong-he JIN

Journal Article

Unified construction of two n-order circuit networks with diodes

Xiaoyan LIN, Zhizhong TAN

Journal Article