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Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

J M Balthazar, R M L F Brasil, J L P Felix, A M Tusset, V Picirillo, I Iluik, R T Rocha, A Nabarrete, C Oliveira
2016 Journal of Physics, Conference Series  
We include a discussion on fractional (rational) damping and stiffness effects on the adopted modelling.  ...  This paper overviews recent developments on some problems related to elastic structures, such as portal frames, taking into account the full interactions of the vibrating systems, with an energy source  ...  An analysis of the effects of the parameters of coupling and of nonlinear coefficients with increasing of constant torque of the DC motor is presented.  ... 
doi:10.1088/1742-6596/721/1/012004 fatcat:jro2ndwivngz3p5htkwxyg7iui


Jan Awrejcewicz, Marco Amabili, Airton Nabarrete
2021 Meccanica (Milano. Print)  
Burlon et al. investigate viscoelastic constitutive models involving variable-order fractional operators.  ...  Awrejcewicz et al. deal with the dynamics of a lumped mass mechanical system containing two nonlinear springs connected in series.  ...  The control algorithm is based on the Continued Fraction Expansion approximation of the fractional-order operators.  ... 
doi:10.1007/s11012-021-01321-7 fatcat:xrlmmjy2e5hjfndqrddgfktt3q

Preface to the special issue "NODYCON 2O19"

Angelo Luongo, Haiyan Hu, Ju H. Park, Steven W. Shaw
2019 Nonlinear dynamics  
New trends in nonlinear dynamics a. MEMS b. Fractional-order systems c. Biosystems dynamics  ...  These papers reflect state-of-the-art results in the field of nonlinear dynamics.  ...  Fractional-order systems Three papers deal with fractional-order systems.  ... 
doi:10.1007/s11071-019-05428-1 fatcat:xapuq72uinhqhca3q6kbkgfnri

Study on the Dynamic Problems of Double-Disk Rotor System Supported by Deep Groove Ball Bearing

Yang Liu, Jiyuan Han, Siyao Zhao, Qingyu Meng, Tuo Shi, Hui Ma
2019 Shock and Vibration  
motion on the vibration characteristics of the rotor system.  ...  The time domain and frequency domain characteristics of the rotor system at different speeds, as well as the influence of bearing clearance and bearing inner ring's acceleration on the dynamics of the  ...  start time, the more serious the irregular motion, and the greater impact on the vibration characteristics of the rotor system. e reasonable range of clearance can reduce the effect of unstable motion  ... 
doi:10.1155/2019/8120569 fatcat:fjpuezb6j5gcdpn24msrn35k2e


F. Fotros
2011 International Journal of Engineering  
The results reveal that the vibration amplitude and volume fraction have significant effects on the resultant stresses in large amplitude vibration of the functionally graded plate with rigid core.  ...  In this paper, the nonlinear free and forced axisymmetric vibration of a thin circular plate made of functionally graded material (FGM) with rigid core has been studied.  ...  Allahverdizadeh and Naei [3] studied Nonlinear free and forced vibration analysis of thin circular functionally graded plates and investigated the amplitude and thermal effects on the nonlinear behavior  ... 
doi:10.5829/idosi.ije.2011.24.03a.07 fatcat:ecrclijmofapzmbsapf6bmzvbe

Bifurcation and Chaos Control in Thin Circular Functionally Graded Plates

S. Hashemnia, M. Sahebnasagh, A. Allahverdizadeh, M. J. Mahjoob, A. Feyz Dizaji
2012 Nonlinear Engineering  
Employing Melnikov analysis, the conditions of existence of harmonic and chaotic motions for derived Duffing equation are expressed.  ...  Using nonlinear governing equations of FG plate subjected to one-term excitation force and utilizing special shape function, Duffing equation of the system is derived.  ...  Since the amplitude of vibration is of the same order of the thickness of the plate, which induces a significant geometrical nonlinearity, the dynamic relation of the von-Karman equations, as the nonlinear  ... 
doi:10.1515/nleng-2012-0013 fatcat:pmlfdtngl5dgpbbtqnqzwswj4a

Dynamic Characteristics of Hanging Truss Having Shape Memory Alloy Wires

Xuan Zhang, Kazuyuki Hanahara, Yukio Tada
2017 Mechanical Engineering Research  
This kind of truss structure has the capability of vibration isolation and absorption.  ...  Characteristics of zero compressive stiffness of wire members, SMA wire members and hanging configuration of the structure itself contribute to the effect of vibration isolation.  ...  This nonlinear iterative method is introduced in order to reduce the calculation time.  ... 
doi:10.5539/mer.v7n2p6 fatcat:gjfcditqqzdotofkbvb3ax2cxm

Earthquake dynamic induced by the magma up flow with fractional power law and fractional-order friction

Christian Fogang, Francois Pelap, Guy Bertrand Tanekou, Romanic Kengne, Laurent Kagho, Theophile Fozin Fozing, Roméo Blaise Mbendjo, Fidèle Koumetio
2021 Annals of Geophysics  
It appears that the resonant amplitude and resonant frequency are strongly dependent on the fractional-order damping r, fractional-order friction q, the fractional deflection 𝛼, the nonlinear stiffness  ...  We have also shown that, the recurrence time of an event, the duration time of an event and the slip size of an earthquake can be controlled by the fractional-order derivative, the fractional-order deflection  ...  This paper benefits from the fruitful criticism and suggestions by the Sector Editor Gaetano Festa and the anonymous reviewers, leading to a significant improvement of the work.  ... 
doi:10.4401/ag-8390 fatcat:6dysugm6bnhqjoz2ejmw3qn4gi

Nonlinear vibrations of a cantilevered pipe conveying pulsating two phase flow

Adeshina Adegoke, Department of Mechanical Engineering, University of Lagos, Akin Fashanu, Olayinka Adewumi, Ayowole Oyediran, Department of Systems Engineering, University of Lagos, Department of Mechanical Engineering, University of Lagos, Department of Mechanical Engineering, University of Lagos
2020 Research on Engineering Structures and Materials  
Method of multiple scales analysis is adopted to study the nonlinear parametric resonance of dynamics of the cantilevered pipe.  ...  This work studied the nonlinear transverse vibrations of a cantilevered pipe conveying pulsatile two-phase flow.  ...  Oz [18] on the analysis of nonlinear vibrations and stability analysis of tensioned pipe conveying fluid with variable velocity studied the pipe with fixed supports and immovable end conditions with  ... 
doi:10.17515/resm2019.145me0902 fatcat:iw25rb644bdihgvxuiqdonn5t4

Hopf Bifurcation Characteristics of the Vehicle with Rear Axle Compliance Steering

Xiaomei Xu, Dong Chen, Lei Zhang, Ning Chen
2019 Shock and Vibration  
First of all, considering the tire nonlinearity and the fractional derivative constitutive relation of the viscoelastic material, the nonlinear dynamic model of the vehicle with RACS is formulated.  ...  This article focuses on the nonlinear dynamic behavior of the vehicle with RACS incorporating viscoelastic smart material.  ...  First of all, a fractional order model of RACS incorporating viscoelastic material is proposed, and then, the nonlinear dynamic model of the vehicle with RACS is formulated.  ... 
doi:10.1155/2019/3402084 fatcat:4teqfj7zxjd2znecaeftnp2ot4

Generation of fractional resonance in nonlinear physical systems due to their internal forces motion's instability

L. K. Vorotyntsev
2019 Contemporary Engineerng Sciences  
The work discusses the results of the author's discovery: the existence of a fundamental association between the phenomenon of self-excited fractional resonance in nonlinear physical systems and the instability  ...  critical state of instability reveals one of two outcomesa generation of fractional resonances or an amplitude jump phenomenon, in a case when a critical state coincides with the main resonance.  ...  The author gratefully acknowledges R. Partskhaladze, PhD for his technical support, which enabled experimental part of the work to be carried out.  ... 
doi:10.12988/ces.2019.9619 fatcat:m4py5nq6nfav3lhstpv4ablale

Comparative Analysis of Rub-Impact Dynamics of Shrouded Blades Based on the Bilinear Hysteresis Model and the Coulomb Friction Model

Dangdang Zheng, Geng Liu, Shangwen He, Bing Han
2022 Lubricants  
Using the fourth-order Runge–Kutta method, comparative analysis of the nonlinear characteristics and the vibration reduction characteristics of shrouded blades based on the bilinear hysteresis friction  ...  Numerical simulation results indicate that the nonlinear characteristics and the vibration reduction characteristics of shrouded blades based on these two friction models are not accordant.  ...  Compared with the bilinear hysteresis model, prediction of the vibration red In Figure 18 , with the increase of ∆, chaotic motions, period motions with fractional harmonics, and period motions with higher  ... 
doi:10.3390/lubricants10020031 fatcat:idcn7mvxgnbvrifcbta5pq6vh4

Threshold for Chaos of a Duffing Oscillator with Fractional-Order Derivative

Wuce Xing, Enli Chen, Yujian Chang, Meiqi Wang
2019 Shock and Vibration  
The results show that the coefficient of the fractional-order derivative has great effect on the threshold value of the chaotic motion, while the order of the fractional-order derivative has less.  ...  The effects of fractional-order parameters, the stiffness coefficient, and the damping coefficient on the threshold value of the chaotic motion are analytically discussed.  ...  Acknowledgments e authors are grateful to the support by the National Natural Science Foundation of China (no. 11172183).  ... 
doi:10.1155/2019/1230194 fatcat:4koonuexjfgplcwwakjlq2dvtm

Finite Element Formulation for the Large-Amplitude Vibrations of FG Beams

Mehdi Javid, Milad Hemmatnezhad
2014 Archive of Mechanical Engineering  
On the basis of Euler-Bernoulli beam theory, the large-amplitude free vibration analysis of functionally graded beams is investigated by means of a finite element formulation.  ...  The influences of power-law index, vibration amplitude, beam geometrical parameters and end supports on the free vibration frequencies are studied.  ...  In this technique, the equation of motion is multiplied by Ȧ and thus transferred into energy balance equation and then integrated with respect to time.  ... 
doi:10.2478/meceng-2014-0027 fatcat:figr4uxvune3pl2dymlb65bkva

Nonlinear Transient Dynamics of Graphene Nanoplatelets Reinforced Pipes Conveying Fluid under Blast Loads and Thermal Environment

Siyu Liu, Aiwen Wang, Wei Li, Hongyan Chen, Yufen Xie, Dongmei Wang
2022 Mathematics  
Numerical experiments show that GPL distribution and temperature; GPL weight fraction; pipe length-to-thickness ratio; flow velocity; and blast load parameters have important effects on the nonlinear transient  ...  A set of second-order ordinary differential equations are obtained by using the second-order Galerkin discrete method and are solved by using the adaptive Runge–Kutta method.  ...  Effect of GPL mass fraction on pipes conveying fluid nonlinear transient vibration.  ... 
doi:10.3390/math10132349 fatcat:m6jqt2bikbfizbfib52gooeitu
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