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Amplitude region for triggering frequency locking in internal resonance response of two nonlinearly coupled microresonators Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210116
Xuefeng Wang; Ronghua Huan; Weiqiu Zhu; Zhan Shi; Xueyong Wei; Guoqiang CaiIn this paper, the internal resonance response of two nonlinearly coupled micro beams with frequency ratio approximately 1:3 is investigated and an interesting phenomenon called frequency locking is observed experimentally. A nonlinear dynamic model of the coupled system is established and solved using multi scale method to explain this phenomenon, and the amplitude region for triggering frequency

A nonlinear model of thick shells for largeamplitude vibrations Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210119
Hamid Reza Moghaddasi; Mojtaba Azhari; Mohammad Mehdi Saadatpour; Saeid SarramiForoushaniNonlinear shell modeling is always accompanied by simplifying assumptions on some computational parameters. In the latest nonlinear model based on eight parameters, that considers the displacement field as thirdorder polynomials in all three directions of curvilinear system, rotational inertia and shear deformations are also included; however, nonlinear terms are eliminated from some dependent variables

Sedov type solution of the equations of hydraulic longitudinal waves Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210119
S.V. Meleshko; S. Moyo; S.V. SukhininThe motion of a polytropic compressible fluid or gas in a nonuniform channel with elastic walls and a specified crosssection A(x,p) depending on a given point x and the pressure p is examined. The form of a crosssection A=kxαpβ is considered in this paper. Particular cases arising from the analysis that lead to an exact solution of the equations of the hydraulic longitudinal waves are given. For

Likely oscillatory motions of stochastic hyperelastic spherical shells and tubes Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210116
L. Angela Mihai; Manal AlamoudiWe examine theoretically the dynamic inflation and finite amplitude oscillatory motion of inhomogeneous spherical shells and cylindrical tubes of stochastic hyperelastic material. These bodies are deformed by radially symmetric uniform inflation, and are subjected to either a surface dead load or an impulse traction, uniformly applied in the radial direction. We consider composite shells and tubes

Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210108
J. Awrejcewicz; A.V. Krysko; S.A. Mitskevich; M.V. Zhigalov; V.A. KryskoThe increasing complexity of the constructive forms and shell elements structure leads to the need to develop both the theory and methods for solving static and dynamic problems for nonhomogeneous (heterogeneous) shells. By the shell heterogeneity, we mean heterogeneity in a broad sense: these are inclusions in the shell body of the different rigidity elements and, as a special case, these are holes;

Investigation of dynamic behavior of a cablestayed cantilever beam under twofrequency excitations Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210107
Yunyue Cong; Houjun Kang; Guirong YanMany civil structures and facilities can be modeled using cablestayed cantilever beams. This study is to investigate the nonlinear dynamic response and dynamic behavior of a cablestayed cantilever beam subjected to two different external excitations through theoretical analyses. First, the equations of motion of the cable and the beam are established. Then, based on the Galerkin method, dynamic structural

Conservation laws for a spherical top on a plane with friction Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210104
Alexander A. Kilin; Elena N. PivovarovaThis paper is concerned with the analysis of the influence of the friction model on the existence of additional integrals of motion in a system describing the sliding of a spherical top on a plane. We consider a model in which the friction is described not only by the force applied at the point of contact, but also by an additional friction torque. It is shown that, depending on the chosen friction

Buckling and postbuckling of extensible, sheardeformable beams: Some exact solutions and new insights Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210106
Samir Emam; Walter LacarbonaraThis paper presents exact solutions for the buckling loads and postbuckling states of extensible, shear deformable beams. The governing equation for the largeamplitude lateral deformation of beams in compression is expanded in Taylor series up to the cubic nonlinearity. Closedform solutions in terms of the axial and shear stiffnesses are developed for statically determinate and statically indeterminate

A note on a class of generalized neoHookean models for isotropic incompressible hyperelastic materials Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201226
Cornelius O. HorganIn a recent paper in this journal by AnssariBenam and Bucchi (2021), the authors have proposed a new twoparameter constitutive model for isotropic incompressible hyperelastic generalized neoHookean materials. The model reflects the limiting chain extensibility characteristic of nonGaussian molecular models for rubber. A major contribution of AnssariBenam and Bucchi (2021) is in showing that the

Usability of finite elements based on the absolute nodal coordinate formulation for deformation analysis of the Achilles tendon Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201216
Leonid Obrezkov; Pernilla Eliasson; Ajay B. Harish; Marko K. MatikainenThis work explores the modelling of soft tissues, particularly the Achilles tendon, using the absolute nodal coordinate formulation (ANCF).The anisotropic Gasser–Ogden–Holzapfel (GOH) potential energy function provided the necessary anisotropic elastic feature descriptions. A generalized onedimensional Maxwell model described the viscoelastic effects. Finally, a parameterbased damage model characterized

A review on the statics and dynamics of electrically actuated nano and micro structures Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201203
Hossein B. Khaniki; Mergen H. Ghayesh; Marco AmabiliNano and micro electromechanical systems (NEMS and MEMS) have been attracting a large amount of attention recently as they have extensive current/potential applications. However, due to their scale, molecular interaction and size effects are considerably high which needs to be considered in the theoretical modelling of their electromechanical behaviour. Both nano and microscale electrically actuated

Nonlinear stress analysis of shell structures in buckling and snapping problems by exact geometry solidshell elements through sampling surfaces formulation Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201211
G.M. Kulikov; M. Bohlooly; S.V. Plotnikova; M.A. Kouchakzadeh; B. MirzavandIn this paper, the nonlinear threedimensional (3D) stress analysis of shell structures in buckling and snapping problems is presented. The exact geometry or geometrically exact (GeX) hybridmixed fournode solidshell element is developed using a sampling surfaces (SaS) method. The SaS formulation is based on the choice of N SaS parallel to the middle surface to introduce the displacements of these

Investigating amplitude death in a coupled nonlinear aeroelastic system Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201215
Ashwad Raaj; Sirshendu Mondal; Venkatramani JagdishCoupling nonlinear dynamical systems can lead to a host of phenomena, one of which leads to the complete cessation of their oscillations. This phenomenon is referred to as amplitude death (AD) in the dynamical systems literature. Recently, there is a growing interest to mitigate oscillatory or dynamic instabilities in a variety of engineering systems using AD. Deriving impetus from the same, we investigate

The saddle case of a nonsmooth Rayleigh–Duffing oscillator Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201208
Zhaoxia Wang; Hebai ChenWe consider a single degree freedom oscillator in order to accurately represent some modeling with ship roll damping. The proposed oscillator is a nonsmooth Rayleigh–Duffing equation ẍ+aẋ+bẋẋ+cx+dx3=0. The main goal of this paper is to study the global dynamics of the nonsmooth Rayleigh–Duffing oscillator in the case d<0, i.e., the saddle case. The nonsmooth Rayleigh–Duffing oscillator is only

Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201208
A.V. Krysko; J. Awrejcewicz; S.A. Mitskevich; M.V. Zhigalov; V.A. KryskoIn the second part of the article, the nonlinear dynamics and stability of nonhomogeneous variable thickness axisymmetric shells are analyzed. The mathematical model is based on the Kirchhoff–Love kinematic hypothesis. The resulting system of partial differential equations is reduced to an algebraic equations system by the Ritz method. The convergence of the applied numerical methods is investigated

Nonlinear dynamics of vortexinduced vibration of a nonlinear beam under highfrequency excitation Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201203
Pradyumna Kumar Sahoo; S. ChatterjeeThe present article studies the nonlinear dynamics and effects of highfrequency excitations (HFE) on a forced 2D coupled beam and wake oscillator model ascribing vortexinduced vibrations. Oscillatory strobodynamics (OS) theory is employed for studying the characteristics of the system in slow timescale. Linear stability analysis is performed near the equilibrium point of the system for both with

Nonlinear panel instabilities at highsubsonic and low supersonic speeds solved with strongly coupled CIRA FSI framework Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201127
Davide Cinquegrana; Pier Luigi VitaglianoNonlinear aspects of aeroelastic stability are here investigated for two and three dimensional panels in high subsonic and low supersonic flows. The effects of edge constraints and initial conditions on postflutter behaviour are also studied. Such phenomena are crucial for spatial launchers development, that has renewed interest due to a larger number of commercial companies in the frame of space

Uncertainty analysis of heart dynamics using Random Matrix Theory Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201128
Augusto Cheffer; Thiago G. Ritto; Marcelo A. SaviThis paper deals with the uncertainty analysis of the cardiac system described by a mathematical model. The model is composed of threecoupled nonlinear oscillators with timedelayed connections. The main idea is to investigate heart dynamics using the Random Matrix Theory, modeling uncertainties and establishing the impact of the probabilistic model on the dynamic response of the system Two advantages

Surface waves in the magnetopause: Regularity and time evolution Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201201
Manuel NúñezThe equation describing surface waves in a onedimensional magnetohydrodynamic discontinuity involves the Hilbert transform and is therefore nonlocal. It is found that by taking the analytic function whose real part is the first order perturbation one obtains a local equation. This equation yields several integral equalities which may be studied with the help of certain classical results of the theory

A multiphase virtual mass model for debris flow Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201116
Parameshwari Kattel; Khim B. Khattri; Shiva P. PudasainiIn a rapidly moving multiphase mass flow, drag and virtual mass forces are important interfacial forces. However, in many existing literatures, virtual mass force has often been ignored or employed empirically. In this contribution, we construct analytical, full and explicit expressions for the virtual mass coefficients in the true threephase typical debris flow consisting of coarsesolid, finesolid

The Riemann problem for a driftflux model of compressible twophase flow in a variable crosssection duct Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201127
Qinglong ZhangThe Riemann problem for isentropic driftflux model of compressible twophase flow in a variable crosssection duct is considered. First, the twophase duct flow model is established based on the balance laws. Then, by averaging the equations of single phase flow, the driftflux model in a variable crosssection duct is deduced. The model includes two parts: mass conservation and momentum conservation

Delay dynamics of a levitating motor with twolimit control strategy Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201126
B. ShayakIn a recent work (Shayak, 2019), I have proposed a new comparatorbased control algorithm for a magnetically levitated motor. The rotor dynamics are governed by a sixth order nonlinear differential equation, whose stability analysis is treated as given. Here we consider this device from a dynamical systems viewpoint. We first present a simplified model which is a second order nonlinear delay differential

Stiffness distribution of a spherical gel structure and bifurcation analysis with application to stemcell differentiation Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201130
Xiaoyi Chen; HuiHui DaiIn biophysics, gel substrates have been used to do stemcell differentiation by utilizing the stiffness distribution in the gel. However, in the currently available designs, the stiffness range may not be large enough and there also lacks a quantitative control. In this paper, we introduce a mechanical–chemical model for a spherical gel structure which generates an inhomogeneous deformation in the

Static deflection modeling of combined flexible beams using elliptic integral solution Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201124
Ke Xu; Haitao Liu; Juliang XiaoA beam composed of serially connected flexible segments can definitely diversify the option of components for the design of compliant mechanisms. Although the static deflection of such a beam can be considered as the superposition of the deflections of all segments, there is still a lack of available modeling methods due to the comprehensive interactions. This paper presents a method for modeling the

Large deflections of folded cantilever: Experiments and elastica analysis Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201119
L.N. Virgin; R.H. PlautFolded cantilevers have been utilized in MEMS devices, particularly for suspension. The structures consist of a horizontal beam segment fixed at its left end, a short downward connector (joint) at the right end, and a lower horizontal segment under the upper one. Here, the left end of the lower segment is free and a downward concentrated load is applied there. Experiments are conducted on five folded

Dynamic analysis of straight stepped microbeams Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201113
Nouha Alcheikh; Hassen M. Ouakad; Mohammad I. YounisThis works aims to investigate the dynamics of Microelectromechanical systems (MEMS) straight multistepped microbeams. An analytical model is presented based on the Euler–Bernoulli beam theory and the Galerkin discretization. The effect of various parameters on the natural frequencies of microbeams is examined, including the effects of varying the geometry (number of steps and their ratios), the

Synchronization characteristics of an array of coupled MEMS limit cycle oscillators Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201102
Aditya Bhaskar; B. Shayak; Richard H. Rand; Alan T. ZehnderThe dynamics of a proposed microelectromechanical system (MEMS) consisting of an array of limit cycle oscillators (LCOs) are analyzed. The LCOs have dissimilar limit cycle frequencies and are coupled in a nearestneighbor configuration via electrostatic fringing fields. The emergence of synchrony in the array is outlined for two cases: selfsynchronization of the array to a single frequency, and entrainment

A generalised neoHookean strain energy function for application to the finite deformation of elastomers Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201016
Afshin AnssariBenam; Andrea BucchiWe present a new model within the class of generalised neoHookean strain energy functions for application to the finite deformation of incompressible elastomers. The model has a simple form with only two parameters, namely μ and N with structural roots, and is derived within the classical framework of statistical mechanics for freely jointed molecular chains in rubber elasticity Using existing experimental

Influence of debonding on nonlinear deflection responses of curved composite panel structure under hygrothermomechanical loading–macromechanical FE approach Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201104
Chetan Kumar Hirwani; Subrata Kumar Panda; Pradeep Kumar MishraThe excess geometrical deformation due to the inplane hygrothermal and transverse mechanical loading are computationally (through a customized MATLAB code) obtained for the weakly bonded structure using the different kinematic theories in combination with the finite element steps. To evaluate the nonlinear deflection data a macro mechanical model is prepared mathematically considering the stretching

Geometrically nonlinear dynamic analysis of laminated composite plate using a nonpolynomial shear deformation theory Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201104
Babu Ranjan Thakur; Surendra Verma; B.N. Singh; D.K. MaitiA computationally efficient C0 finite element model in conjunction with the nonpolynomial shear deformation theory (NPSDT) is extended to examine the free and forced vibration behavior of laminated composite plates. The employed NPSDT assumes the nonlinear distribution of inplane displacements which qualify the requirement of traction free boundary conditions at the top and bottom surfaces. The present

Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201102
Jae Wan ShimA fluid flow is described by fictitious particles hopping on homogeneously distributed nodes with a given finite set of discrete velocities. We emphasize that the existence of a fictitious particle having a discrete velocity among the set in a node is given by a probability. We describe a compressible thermal flow of the level of accuracy of the Navier–Stokes equation by 25 or 33 discrete velocities

Dynamics and nonlinear effects of a compact nearzero frequency vibration isolator with HSLD stiffness and fluid damping enhancement Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201027
X. Gao; H.D. TengAiming to isolate disturbance vibration for heavy payloads with low frequency, a novel hydropneumatic nearzero frequency vibration isolator is proposed, which possesses highstatic and lowdynamic (HSLD) stiffness. And different from most isolators existing previously, a nonlinear damping strategy realized by fluid damping mechanism is implemented into the device in order to enhance vibration isolation

Equilibria determination of elastic articulated duoskelion beams in 2D via a Rikstype algorithm Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201017
Emilio Barchiesi; Francesco dell’Isola; Alberto M. Bersani; Emilio TurcoThe overall behavior of an articulated beam structure constituted by elements arranged according to a specific chirality is studied. The structure as a whole, due to its slenderness and geometry, is called duoskelion beam. The name duoskelion is a neologism which is inspired by the Greek word δύοσκέλιον (twolegged). A discrete model for shearable beams, formulated recently, is exploited to investigate

Analysis of discontinuous dynamics of a 2DOF system with constrained spring cushions Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201017
Min Gao; Jinjun Fan; Chunliang LiWe investigate the dynamical characteristics of a two degrees of freedom friction oscillator with constrained spring cushions. Based on the discontinuity resulted from the rough contact surface and the nonsmoothness resulted from fixed spring, different boundaries and domains are given in phase space. The Gfunctions are introduced to determine whether the passable, grazing, sliding and stick motions

On qualitative analysis of the nonstationary delayed model of coexistence of twostrain virus: Stability, bifurcation, and transition to chaos Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201016
Vasyl Martsenyuk; Krzysztof Augustynek; Andrzej UrbasThe model of interaction of two strains of the virus is considered in the paper. The model is based on a nonstationary system of differential equations with delays and takes into account populations of susceptible, firsttime and reinfected individuals across two strains. For small values of the delays, the conditions of global asymptotic stability are obtained with the help of Lyapunov functionals

On occurrence of bursting oscillations in a dynamical system with a double Hopf bifurcation and slowvarying parametric excitations Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201020
Miaorong Zhang; Qinsheng BiSlowfast analysis has been extensively used in the past to study the occurrence of bursting oscillations. Most bursting oscillations studies are performed on the low dimensional autonomous systems where only codimension1 bifurcations take place at the transitions of quiescent and spiking states. However, in high dimensional slowfast dynamical systems, there exist higher codimensional bifurcations

A generalized strain energy function using fractional powers: Application to isotropy, transverse isotropy, orthotropy, and residual stress symmetry Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200928
S. Mukherjee; A.K. MandalIn this paper, we propose a generalized strain energy density function based on invariants of stretch tensor with arbitrary exponents. We employ polynomial, logarithmic and exponential functions of these invariants to develop the strain energy functions. We also study characteristics and applications of the proposed model for isotropy, transverse isotropy, orthotropy with a special focus on initial/residual

Nonlinear response analysis for a dualrotor system supported by ball bearing Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201012
Zhenyong Lu; Shun Zhong; Huizheng Chen; Xiaodong Wang; Jiajie Han; Chao WangRolling element bearings are used as main supports and are key sources of vibrations for aeroengine rotor systems. Mainly including the inner and outer rings, cages, and balls or rollers, the complicated mechanical structures of rolling element bearings exhibit nonlinear behaviors due to the bearing clearance, nonlinear Hertzian contact forces, and defects. Due to imbalanced rotations, which are unavoidable

Nonlinear Model Order Reduction via Nonlinear Moment Matching with Dynamic Mode Decomposition Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201010
Danish Rafiq; Mohammad Abid BazazIn this manuscript, we propose a novel reduction framework for obtaining Reduced Order Models (ROMs) of largescale, nonlinear dynamical systems. We advocate the use of Nonlinear Moment Matching (NLMM) with the Dynamic Mode Decomposition (DMD) to get a much efficient dimensionality reduction scheme. While NLMM does not require the expensive computation of the timedisplaced snapshot ensemble of the

Control of Neimark–Sacker bifurcation in a type of weak impulse excited centrifugal governor system Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201008
Zengyao Lv; Huidong Xu; Zihao BuCentrifugal governors play an important role in rotating machinery such as diesel engines and steam engines. This paper considers two impulse excitations of the freewheel. The feedback control issue of the Neimark–Sacker bifurcation design of the centrifugal governor system is studied. A feedback control method is addressed to realize the control objectives of the existence, stability and the mean

Strong point explosion in vibrationally exciting gas Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200928
P. Siriwat; Yu.N. Grigoriev; S.V. MeleshkoFor problems with strong shock waves a modification of the Landau–Teller equation in the system of twotemperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of selfsimilar solutions of the onedimensional unsteady flows of a vibrationally excited gas is obtained

Nonlinear effects in the vibrations of flexural tensegrity beams Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20201002
Claudio Boni; Gianni RoyerCarfagniFlexural tensegrity is a structural principle for which the integrity under flexure of a beam formed by a chain of segments in unilateral contact is provided by an unbonded prestressing tendon anchored to the end segments, with the possible interposition of linear springs and linear dashpots. These are activated by the inflexion of the beam as a consequence of the particular shape of the contact surfaces

Nonlinear analysis of thinwalled beams with highly deformable sections Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200928
E. Carrera; A. Pagani; D. Giusa; R. AugelloThis work proposes an alternative approach for the nonlinear analysis of 2D, thinwalled lattice structures. The method makes use of the wellestablished Carrera Unified Formulation (CUF) for the implementation of high order 1D finite elements, which lay along the thickness direction. In this manner, the accuracy of the mathematical model does not depend on the finite element discretization and can

Stable handspring maneuvers with passive flight phases: Results from an inverted pendulumlike template Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200918
Ali Tehrani Safa; Ali Nouriani; Aria AlastyInverted pendulum (IP) has been broadly used to model locomotor systems. In this paper, we demonstrate that an IPlike model could simulate stable periodic handspring maneuvers with passive flight phases. The model is a 2D symmetric rigid body which is merely controlled during the contact phase. To benefit from an openloop sensorless strategy, the control policy is implemented only by an unvaried

Bifurcation of magnetorheological film–substrate elastomers subjected to biaxial precompression and transverse magnetic fields Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200922
M. Rambausek; K. DanasThis work investigates the primary sinusoidal bifurcation wrinkling response of single and multilayered magnetorheological elastomer (MRE) film–substrate systems subjected to combined transverse applied magnetic fields and inplane biaxial precompression. A recently proposed continuum model that includes the volume fraction of softmagnetic particles is employed to analyze the effect of the magnetic

A comparison of computational models for wrinkling of pressurized shellcore systems Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200920
Tomo Veldin; Marko Lavrenčič; Boštjan Brank; Miha BrojanFour nonlinear computational models for the surface wrinkling of curved shellcore systems under external pressure are presented. Three of the considered finite element models neglect the displacements tangential to the shell surface. Two of the models are static formulations and the other two are derived in the dynamic framework. For the latter, the energydecaying timestepping algorithm is applied

Surface instabilities in graded tubular tissues induced by volumetric growth Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200922
Yang Liu; Zhouyu Zhang; Giuseppe Devillanova; Zongxi CaiGrowthinduced pattern formation in tubular tissues is intimately correlated to normal physiological functions. Moreover, either the microstructure or certain diseases can give rise to material inhomogeneity, which can lead to a change of shape in the tissue. Therefore, it is of fundamental importance to understand surface instabilities and pattern transitions of graded tubular tissues. In this paper

Vibration mitigation and dynamics of a rotorblade system with an attached nonlinear energy sink Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200922
Yanbo Cao; Hongliang Yao; Qiufeng Li; Peiran Yang; Bangchun WenExcessive vibration of rotorblade systems has been a main reason for the failure of rotating machinery. Therefore, methods capable of simultaneously suppressing vibrations rotor and blade are urgently needed. Considering this, a nonlinear energy sink (NES) with piecewise linear stiffness is used to satisfy the requirements. Firstly, the structure and working mechanism of the NES are introduced. And

Simulation of wrinkling in incompressible anisotropic thin sheets with wavy fibers Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200921
M. Taylor; M. ShiraniA twodimensional plate theory is derived for incompressible transversely isotropic fiberreinforced materials with wavy fibers. Singlelayer plates and twolayer laminates are considered. Numerical simulations of axially loaded rectangular sheets in the postbuckling regime illustrate the marked effect fiber waviness has on both the wrinkling patterns and the effective axial stiffness. For fibers

Mode transitions in buckling and postbuckling of stretchedtwisted strips Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200919
Saeideh Faghfouri; Franz G. RammerstorferThe complex buckling behavior of one of the simplest structures, an elastic thin strip under combined stretch and twist loading represents a fascinating example for structural stability analysis. For stretchedtwisted strips, in contrast to solely stretched strips, not just the computation of the postbuckling process but also the simulation of the prebuckling behavior and the determination of the

On the forward and backward motion of millibristlebots Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200908
D. Kim; Z. Hao; A.R. Mohazab; A. AnsariThis works presents the theoretical analysis and experimental observations of the bidirectional motion of a millimeterscale bristle robot (millibristlebot) with an onboard piezoelectric actuator. First, the theory of the motion, based on the dryfriction model, is developed and the frequency regions of the forward and backward motion, along with the resonant frequencies of the system are predicted

Influence of dissipation on extreme oscillations of a forced anharmonic oscillator Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200829
B. Kaviya, R. Suresh, V.K. Chandrasekar, B. BalachandranDynamics of a periodically forced anharmonic oscillator with cubic nonlinearity, linear damping, and nonlinear damping, is studied. To begin with, the authors examine the dynamics of an anharmonic oscillator with the preservation of parity symmetry. Due to this symmetric nature, the system has two neutrally stable elliptic equilibrium points in positive and negative potentialwells. Hence, the unforced

Bifurcation of a finitely deformed functionally graded dielectric elastomeric tube Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200828
Weijian Zhou, Yingjie Chen, Yipin SuSoft functionally graded materials have attracted intensive attention owing to their special material inhomogeneity and are realized as various applications. In this paper, we theoretically investigate the finite deformation and superimposed bifurcation behaviors of an incompressible functionally graded dielectric tube subject to a combination of axial stretch and radial voltage. The theoretical framework

Growth and patterns of residually stressed core–shell soft sphere Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200827
Congshan Liu, Yangkun Du, Chaofeng Lü, Weiqiu ChenMany biological tissues and organisms are in a state of residual stress, which should be considered rather than ignored as in many previous studies. In this work, we establish a theoretical model to study the growth and patterns of a residually stressed core–shell soft sphere. The effect of the initial residual stress is considered by employing a modified multiplicative decomposition growth model.

Measurement of the Poisson’s ratio and Young’s modulus of an isotropic material with Tshape contact resonance atomic force microscopy Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200827
Feifei Gao, Yin ZhangThe Poisson’s ratio and the Young’s modulus play an important role in the characterization of nanomaterial mechanical properties. They are the vital parameters of understanding nanoscale material behavior. Here we report a method of quantitatively determining the values of the Poisson’s ratio and the Young’s modulus with a Tshape contact resonance atomic force microscopy. Unlike the cantilever of

Nonlinear analysis of functionally graded beams using the dual mesh finite domain method and the finite element method Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200824
J.N. Reddy, Praneeth Nampally, Arun R. SrinivasaIn this paper, geometrically nonlinear analysis of functionally graded beams using the dual mesh finite domain method (DMFDM) and the finite element method is presented. The DMFDM makes use of a primal mesh of finite elements and associated approximation for the variables of the formulation and a dual mesh of control domains, which does not overlap the primal mesh, for the satisfaction of the governing

Progressive damage analysis of composite laminates subjected to lowvelocity impact using 2D layerwise structural models Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200824
M.H. Nagaraj, E. Carrera, M. PetroloThe present work deals with the progressive damage analysis of composite laminates subjected to lowvelocity impact. We develop a numerical model using higherorder structural theories based on the Carrera Unified Formulation (CUF) with Lagrange polynomials and resulting in a 2D refined layerwise model. To model damage, we use a combination of the continuum damagebased CODAM2 intralaminar damage

Internal resonances among the first three modes of a hinged–hinged beam with cubic and quintic nonlinearities Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200824
Ali KandilThis paper presents a derivation of a hinged–hinged Euler–Bernoulli beam including cubic and quintic nonlinearities. Then, a threemode Galerkin discretization technique has been utilized to generate a system of ordinary differential equations governing the temporal deflections of the first three modes of the studied beam. The pioneering work of Nayfeh and Mook (1995) has shown the absence of internal

Surface pressure reduces stability in bilayered systems under compression Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200822
Mohsen Darayi, Maria A. HollandBuckling instabilities of layered materials are an important phenomenon that has been analyzed both analytically and numerically, but generally only in the absence of surface pressure. In this study, we present a linear stability analysis of the wrinkling of an inhomogeneous bilayer made up of dissimilar neoHookean elastic materials, under uniaxial compression with pressure applied to the top surface

Approximations to limit cycles for a nonlinear multidegreeoffreedom system with a cubic nonlinearity through combining the harmonic balance method with perturbation techniques Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20200819
A.P. LewisThis paper presents an approach to obtaining higher order approximations to limit cycles of an autonomous multidegreeoffreedom system with a single cubic nonlinearity based on a first approximation involving first and third harmonics obtained with the harmonic balance method. This first approximation, which is similar to one which has previously been reported in the literature, is an analytical