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Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities
2016
Journal of Physics, Conference Series
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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
Preface
2021
Meccanica (Milano. Print)
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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"
2019
Nonlinear dynamics
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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
2019
Shock and Vibration
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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
EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF THIN CIRCULAR FUNCTIONALLY GRADED
2011
International Journal of Engineering
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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
2012
Nonlinear Engineering
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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
2017
Mechanical Engineering Research
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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
2021
Annals of Geophysics
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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
2020
Research on Engineering Structures and Materials
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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
2019
Shock and Vibration
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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
2019
Contemporary Engineerng Sciences
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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
2022
Lubricants
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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
2019
Shock and Vibration
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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
2014
Archive of Mechanical Engineering
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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
2022
Mathematics
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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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