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Nonlinear vibration analysis of an axially moving thinwalled conical shell Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210511
Hossein Abolhassanpouri, Majid Shahgholi, Faramarz Ashenai Ghasemi, Arash MohamadiThe purpose of the current study is the nonlinear vibration analysis of an axially moving truncated conical shell. Based on the classical linear theory of elasticity, Donnell’s nonlinear theory assumptions with Von Kármán nonlinear terms, Hamilton principle, and Galerkin method, the nonlinear motion equations of axially moving truncated conical shells are derived. Then, a set of nonlinear motion equations

On bifurcation behavior of hard magnetic soft cantilevers Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210507
Amir Mehdi DehrouyehSemnaniHard magnetic materials belong to a novel class of soft active materials with the capability of quick, large, and complex deformation via applying an external actuation. They have an extensive range of potential applications in soft robots, biomedical devices, wearable devices, and stretchable electronic devices. Recently, investigation of experimental and theoretical nonlinear mechanics of hard magnetic

Nonlinear elastic constitutive modeling of αGe Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210430
D. Sfyris, D.A. Dragatogiannis, C. CharitidisWe present a constitutive framework for modeling the nonlinear elastic behavior of αGermanium (Ge). Starting with all possible phase changes Ge sustains under compression, we correspond to each space group of every phase the arithmetic symmetry group by viewing Ge as a multilattice. We then focus on the mother α phase of Ge. Confining ourselves to weak transformation neighborhoods and adopting the

A threedimensional beam formulation for large deformation and an accurate implementation of the free boundary Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210501
Y.H. Huang, Z.G. Zhang, Y.X. Peng, H.X. HuaThis paper presents a meshless model for quasistatic and dynamic analysis of a threedimensional Timoshenko beam with geometric nonlinearity. A general mathematical formulation is constructed based on the corrective smoothed particle method (CSPM), which can correct the low precision and completeness deficiency of the standard smoothed particle hydrodynamics(SPH) method. The discrete governing equations

Snapthrough and Eulerian buckling of the bistable von Mises truss in nonlinear elasticity: A theoretical, numerical and experimental investigation Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210503
Federico Oyedeji Falope, Matteo Pelliciari, Luca Lanzoni, Angelo Marcello TarantinoIn this paper, equilibrium and stability of the von Mises truss subjected to a vertical load are analyzed from theoretical, numerical and experimental points of view. The bars of the truss are composed of a rubber material, so that large deformations can be observed. The analytical model of the truss is developed in the fully nonlinear context of finite elasticity and the constitutive behavior of the

A paradigmatic system for nonclassic interactive buckling Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210427
Manuel Ferretti, Simona Di Nino, Angelo LuongoA nonclassic double bifurcation of discrete static systems, occurring along a non trivial equilibrium path, is studied. It occurs when, by varying a parameter, a pair of eigenvalues of the tangent stiffness matrix first merge and then disappear. A paradigmatic 2 degrees of freedom system with some symmetry, consisting of an inverted extensible pendulum, so far studied in literature in the linear range

On the Oberbeck–Boussinesq approximation for gases Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210430
Diego Grandi, Arianna PasseriniThe Oberbeck–Boussinesq (OB) approximation for a compressible fluid in Bénard’s problem geometry is studied. We present a new derivation of the classical and ’extended’ OB models for a fluid obeying the ideal gas state equation by means of an asymptotic limit for vanishing temperature difference. The ‘extended’ OB approximation takes account of the compressibility effects in the energy balance, due

Critical and postcritical galloping behavior of base isolated coupled towers Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210419
Angelo Di Egidio, Daniele ZulliNonlinear analysis of two base isolated tall buildings, close to each other, coupled at the tip with a nonlinear viscous device and under the effect of wind, is addressed. The partial differential equations of motion are written with reference to a system constituted by two equivalent beamlike elements, and the modal features are evaluated both in presence and absence of wind which, besides nonlinear

Stefan problems for the diffusion–convection equation with temperaturedependent thermal coefficients Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210421
Julieta Bollati, Adriana C. BriozzoDifferent onephase Stefan problems for a semiinfinite slab are considered, involving a moving phase change material as well as temperature dependent thermal coefficients. Existence of at least one similarity solution is proved imposing a Dirichlet, Neumann, Robin or radiative–convective boundary condition at the fixed face. The velocity that arises in the convective term of the diffusion–convection

On 3D and 1D mathematical modeling of physically nonlinear beams Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210426
A.V. Krysko, J. Awrejcewicz, M.V. Zhigalov, K.S. Bodyagina, V.A. KryskoIn this work, mathematical models of physically nonlinear beams (and plates) are constructed in a threedimensional and onedimensional formulation based on the kinematic models of Euler–Bernoulli and Timoshenko. The modeling includes achievements of the deformation theory of plasticity, the von Mises plasticity criterion and the method of variable parameters of the Birger theory of elasticity. The

Forced Nonlinear vibration and bifurcation analysis of circular cylindrical nanocomposite shells using the normal form Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210424
Arash Mohamadi, Faramarz Ashenai Ghasemi, Majid ShahgholiThe current paper focuses on investigating the effect of different distribution types of singlewalled carbon nanotube (SWCNT) reinforcement and the volume fraction of CNTs on the nonlinear vibration of simply supported nanocomposite circular cylindrical shells. The governing equations are derived for uniform and three kinds of FG distribution of CNTs utilizing the extended mixture rule and Hamilton

The derivation of the FENEP model within a context of a thermodynamic perspective for bodies with evolving natural configurations Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210424
Krishna T. Khambhampati, K.R. RajagopalIn this paper, we provide a method for developing the FENEP constitutive relation and generalizations of such constitutive relations from a totally different perspective than that used to develop such constitutive relations. The thermodynamic framework within which the constitutive relations are generated is a generalization of the structure within which rate type fluid models to describe the viscoelastic

Invariant submodels describing a propagation of the ultrasonic beams in a cubically nonlinear medium without dissipation after selffocusing Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210418
Yu. A. ChirkunovRecently, for highpower ultrasonic beams, it was experimentally found that as a result of selfaction, their selffocusing occurs. With selffocusing, a powerful ultrasonic beam is noticeably narrowed, has a nonlinear narrowing, and it is significantly amplified at the focus. A generalization of the threedimensional Khokhlov–Zabolotskaya–Kuznetsov model in a cubic nonlinear medium in the presence

Nonlinear supersonic flutter of multibay crossstream shallow shells Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210420
Myrella V. Cabral, Flávio D. Marques, António J.M. FerreiraThis work investigates the interaction between adjacent bays and the effect of the curvature ratio in the nonlinear response of crossstream curved panels. The study presents a numerical investigation of shallow shells’ linear and nonlinear dynamic behavior exposed to supersonic flutter. The finite element model embedding the aerodynamic piston theory and the Newmark method for direct timedomain integration

Integrity basis of polyconvex invariants for modeling hyperelastic orthotropic materials — Application to the mechanical response of passive ventricular myocardium Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210313
Renye Cai, Frédéric Holweck, ZhiQiang Feng, François PeyrautThe present paper proposes a new Strain Energy Function (SEF) for modeling incompressible orthotropic hyperelastic materials with a specific application to the mechanical response of passive ventricular myocardium. In order to build our SEF, we have followed a classical strategy based on exponential functions, but we have chosen to work with polyconvex invariants instead of the standard ones. Actually

Frequency–amplitude response of superharmonic resonance of second order of electrostatically actuated MEMS cantilever resonators Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210324
Dumitru I. Caruntu, Martin A. Botello, Christian A. Reyes, Julio BeatrizThis paper deals with the frequency–amplitude response of superharmonic resonance of second order (order two) of electrostatically actuated MicroElectroMechanical System (MEMS) cantilever resonators. The structure of MEMS resonators consists of a cantilever resonator over a parallel ground plate, with a given gap in between, and under AC voltage. This resonance results from hard excitations and AC

Thermocapillary instability on a film falling down a nonuniformly heated slippery incline Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210327
Souradip Chattopadhyay, Anandamoy Mukhopadhyay, Amlan K. Barua, Amar K. GaonkarA gravitydriven, thin, incompressible liquid film flow on a nonuniformly heated, slippery inclined plane is considered within the framework of the longwave approximation method. A mathematical model incorporating variation in surface tension with temperature has been formulated by coupling the Navier–Stokes equation, governing the flow, with the equation of energy. For the slippery substrate, the

Pulsating Poiseuille flow of a cement slurry Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210325
Chengcheng Tao, Eilis Rosenbaum, Barbara Kutchko, Mehrdad MassoudiIn this paper, we investigate the pulsatile flow of a cement slurry in a pipe. The constitutive relation for the viscous stress tensor is based on the powerlaw model, where the shear viscosity not only depends on the shear rate but also the volume fraction of the cement particles. To solve for the volume fraction field, a convection–diffusion equation is used. The dimensionless form of the governing

The Riemann problem for the equations of constant pressure fluid dynamics with nonlinear damping Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210326
Yanyan Zhang, Ruiru ZhangIn this paper, we explore the Riemann problem for the equations of constant pressure fluid dynamics with nonlinear damping. By introducing a variable substitution of exponential type, the Riemann problem is solved and the solutions involving delta shock wave and vacuum state are obtained. Then, we solve the generalized Riemann problem for such equations with nonlinear damping when the initial data

Buckling and postbuckling of anisotropic flat panels subjected to axial and shear inplane loadings accounting for classical and refined structural and nonlinear theories Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210326
E. Carrera, R. Azzara, E. Daneshkhah, A. Pagani, B. WuThis article investigates the large deflection and postbuckling of composite plates by employing the Carrera Unified Formulation (CUF). As a consequence, the geometrically nonlinear governing equations and the relevant incremental equations are derived in terms of fundamental nuclei, which are invariant of the theory approximation order. By using the Lagrange expansion functions across the laminate

Theoretical and experimental studies of global dynamics for a class of bistable nonlinear impact oscillators with bilateral rigid constraints Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210326
Shuangbao Li, Honglei Wu, Xinxing Zhou, Tingting Wang, Wei ZhangA new bistable impact oscillator with bilateral rigid constraints under periodic excitations is established and the global dynamics are studied in detail respectively by the extended analytical Melnikov method for nonsmooth systems and dynamical experiments. Firstly, the Melnikov method is extended from a new viewpoint of geometry for an abstract nonsmooth dynamical system denoting a class of bistable

Complex bifurcation analysis of an impacting vibration system based on pathfollowing method Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210318
Wen Zhang, Qunhong Li, Zhongchuan MengA dynamic model with two discontinuously coupled binonlinear oscillators and multiple nonsmooth constraints is presented, which increases the complexity of the system. The dynamic behaviors of the system with asymmetric clearances are investigated by the continuation platform Computational Continuation Core (abbreviated as COCO) and rich bifurcation phenomena are revealed. In the case of bilateral

Suppression of panel flutter response in supersonic airflow using a nonlinear vibration absorber Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210316
Jian Zhou, Minglong Xu, Zhichun Yang, Yingsong GuA nonlinear vibration absorber (NVA) is used to suppress the nonlinear response of a panel flutter in supersonic airflow. The nonlinear aeroelastic equations of a threedimensional (3D) panel with an NVA are established using Galerkin’s method, with the aerodynamic load being based on the piston aerodynamic theory. We use the aeroelastic equations to study the nonlinear aeroelastic response behaviors

Stability analysis on the flow of thin secondgrade fluid over a heated inclined plate with variable fluid properties Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210310
Abraham Sam Varghese, Satyananda PandaThis work investigates the thin film instability of a nonNewtonian secondgrade fluid flowing down a heated inclined plane subject to linear variation of physical properties such as density, viscosity, thermal diffusivity, and surface tension concerning temperature. A nonlinear evolution equation for the description of the free surface is derived using longwave approximation. The critical conditions

Computational corroboration of the flow of rock glaciers against borehole measurements Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210310
Krishna Kannan, Daniela Mansutti, Kumbakonam R. RajagopalIn this study, we computationally corroborate the flow of rock glaciers against borehole measurements, within the context of a model previously developed (2020). The model is, here, tested against the simulation of the sliding motion of the MurtelCorvatsch alpine glacier, which is characterized in detail in the literature with internal structure description and borehole deformations measurement. The

Nonlinear static analysis of plates with arbitrary aspect ratios using Extended Higher Order Sandwich Panel Theory Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210306
Faisal Siddiqui, George A. KardomateasA nonlinear static analysis of the sandwich plate using variational techniques and the Ritz method is presented. The kinematic description developed for a sandwich plate undergoing small strains and moderate rotations within the framework of Extended Higher Order Sandwich Panel Theory is considered. Employing the Ritz method, the total potential energy of the system is developed. Four different cases

Large deflection model for rubimpact analysis in highspeed rotorbearing system with mass unbalance Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210303
Hanmant P. Phadatare, Barun PratiherThis research article investigated the rotorcasing contact phenomena of a highspeed rotorbearing system under mass unbalance situation. Here, large deflection rotorbearing model with a flexible shaft, a rigid disk loaded with an unbalance mass and contact phenomenon between a disk and casing of the rotating system has been used. A nonlinear mathematical model of a rotating system has been developed

2D electrostatic energy harvesting device using a single shallow arched microbeam Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210226
Mohamed Amin Ben Hassena, Hatem Samaali, Hassen M. Ouakad, Fehmi NajarWe propose to use a shallow arched microbeam to design a compact 2D energy harvesting device using a single electrostatic transducer. The proposed design can transform any inplane applied acceleration into motion of a variable capacitor whose movable electrode is linked to the shallow arched microbeam. A secondary electrode is placed to directly apply a force on the microbeam in order to tune its

Optimal shape of the rotating nano rod Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210213
Marko Janev, Zora Vrcelj, Teodor M. AtanackovicBy using a Pontryagin’s principle, we study the optimal shape of a rotating nano rod and determine the optimal crosssection that is stable against buckling due to centrifugal forces. We generalize the results of the earlier studies focused on the constant crosssectional area of nano rods. The problem of the optimal shape of a Bernoulli–Euler rotating rod is analyzed first. The optimal nano rod with

On the propagation and bifurcation of singular surface shocks under a class of wave equations based on secondsound flux models and logistic growth Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210215
P.M. Jordan, J.V. LambersWorking in the context of hyperbolic reaction–diffusion–acoustic theory, we present a detailed study of singular surface shock phenomena under two hyperbolic versions of the Fisher–KPP equation, both of which are based on flux laws originally used to describe the phenomenon of secondsound. Employing both analytical and numerical methods, we investigate the propagation, evolution, and qualitative behavior

Role of fluid phase in compression of nonlinear elastic fluidsaturated porous medium Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210210
Alexander P. SuvorovThis paper is about the role of the fluid in supporting the overall compressive stress applied to nonlinear elastic fluidsaturated porous material. The case of large deformation and compressible hyperelastic matrix material is considered. Due to complexity of the problem, a simple model of the porous medium consisting of an assemblage of fluidfilled cylinders is studied in more detail. The procedure

Bifurcation and chaotic behavior in the discrete BVP oscillator Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210204
Ming ZhaoIn this work, a new class of discrete Bonhoeffer–van der Pol (BVP) system with an odd function is proposed and investigated. At first, the necessary and sufficient conditions on the existence and stability of the fixed points for this system are given. We then show the system passes through various bifurcations of codimension one, including pitchfork bifurcation, saddle–node bifurcation, flip bifurcation

Stochastic dynamical response of a gear pair under filtered noise excitation Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210206
Saeed Gheisari Hasnijeh, Arvid Naess, Mehrdad Poursina, Hossein KarimpourIn this study, the stochastic dynamic response of a spur gear pair model under the excitation of filtered noise is investigated. The spur gear pair is modeled as a single degree of freedom (SDOF) system in which nonlinear and nonsmooth backlash and timevarying mesh stiffness as well as stochastic excitation are concurrently considered. Four cases are addressed, based on how the noise is incorporated

A Bernstein Broyden–Fletcher–Goldfarb–Shanno collocation method to solve nonlinear beam models Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210201
Diego GarijoA collocation technique based on the use of Bernstein polynomials to approximate the field variable is assessed in Boundary Value Problems (BVPs) of beams with governing nonlinear differential equations. The BVPs are transformed into unconstrained optimization problems by means of an extended cost function which leverages the properties of the Bernstein basis to enforce the boundary conditions. The

Experimental and numerical investigations on the nonlinear aeroelastic behavior of high aspectratio wings for different chordwise store positions under stall and follower aerodynamic load models Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210129
Gefferson C. Silva, Maurício V. Donadon, Flávio J. SilvestreThis study performs an experimental and numerical investigation on the nonlinear aeroelastic response of cantilever highaspectratio beamlike wings with a ballast at their free tips, emulating the effects of a store. As an extent, the effects of different chordwise ballast positions are experimentally examined for two highly flexible rectangular wings. Furthermore, the numerical model proposed brings

A timestepping method for multibody systems with frictional impacts based on a return map and boundary layer theory Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210128
S. Natsiavas, P. Passas, E. ParaskevopoulosThis work presents a new numerical integration method for determining dynamics of a class of multibody systems involving impact and friction. Specifically, these systems are subject to a set of equality constraints and can exhibit single frictional impact events. Such events are associated to significant numerical stiffness, appearing in the equations of motion. The new method is a timestepping scheme

High–low frequency interaction in alternating FPU αchains Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210129
Ferdinand VerhulstOne of the problems of periodic FPUchains with alternating large masses is whether significant interactions exist between the socalled (high frequency) optical and (low frequency) acoustic groups. We show that for αchains with 2n particles we have significant interactions caused by external forcing of the acoustic modes by a stable or unstable optical normal mode. In the proofs an embedding theorem

Controlling selfexcited vibration of a nonlinear beam by nonlinear resonant velocity feedback with timedelay Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210129
Joy Mondal, S. ChatterjeeIn this paper, the efficacy of velocity feedback based nonlinear resonant controller is proposed to control the free and forced selfexcited vibration of a nonlinear beam. The velocity signal obtained from the sensor is fed through a secondorder filter and the nonlinear function of the derivative of the filter variable is used to obtain the control force. The resulting control system being a bandpass

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

Nonlinear vibroacoustic behavior of cylindrical shell under primary resonances Int. J. NonLinear Mech. (IF 2.313) Pub Date : 20210121
Amir Hossein Orafa, Mohammad Mahdi Jalili, Ali Reza FotuhiNonlinear vibroacoustic behavior of cylindrical shell excited by an oblique incident plane sound wave under primary resonances is analytically examined in this paper. Donnell’s nonlinear shallow shell theory is used to model the cylindrical shell. Coupled nonlinear differential equations of the system are analytically derived using Galerkin’s approach. The Multiple Scales Method is hence, employed

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

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

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