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Research on impact vibration response of hinged fluid-conveying pipe with bilateral gap constraints Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-16 Chenzhou Fan, Changqing Guo, Feng Xu, Tianlin Wang
Factors such as loose supports or barriers over the fluid-conveying pipe may cause bilateral gap constraints. Flow-induced vibration will occur during pumping, which leads to collision between the pipe and the constraints. A piecewise linear spring model with large stiffness is employed to simulate the collision process between the pipe and the constraints, and numerical simulation is carried out for
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On the pitfalls of diffuse interface methods in problems involving non-material interfaces Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-16 Peter Kottman, Ondřej Souček
In this paper, we discuss the implications of applying traditional diffuse-interface techniques to problems involving mass flux across the interface such as the phase change front. In a simplified setting of stationary radial flow and linear viscous fluid, we confirm by analytical tools in the framework of Colombeau algebra that the numerical solutions to such problems approximate in fact modified
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A finite strain integral model for the creep behavior of vaginal tissue Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-10 Justin Dubik, Alfonsina Tartaglione, Alan Wineman, David Dillard, Raffaella De Vita
Vaginal delivery causes significant stretching of the vagina and surrounding muscles, potentially leading to the development of pelvic floor disorders and other maternal morbidities. Despite the extended duration of labor, little experimental and theoretical work has been done to characterize the long-term viscoelastic behavior of vaginal tissue. To mathematically capture the creep response of rat
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Swelling-driven soft elastic catapults Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-08 M. Curatolo, G. Napoli, P. Nardinocchi, S. Turzi
The paper outlines and analyzes the conditions for optimizing a catapult mechanism that emerges in a soft rod, initially completely adhered to a rigid lubricated substrate, as a result of oil absorption. Oil diffusion causes differential swelling across the rod thickness, inducing rod bending that is counteracted by adhesion to the substrate. The effect culminates in a gradual detachment of the rod
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Nonlinear dynamic prediction and design optimization of bladed-disk based on hybrid deep neural network Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-03 Zhufeng Liu, Peiyu Wang, Yuxuan Zhao, Yonghui Xie, Di Zhang
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A reduced-order model for geometrically nonlinear curved beam structures with substructuring techniques Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-02 Tuan Anh Bui, Junyoung Park, Jun-Sik Kim
Modularization of complex structures allows for faster, higher quality, and more cost-effective design. However, sharing information about the geometry and materials of the modules presents a security risk when multiple companies are involved in the project. In such cases, an equivalent model can be developed for secure sharing purposes. The equivalent model should be able to predict the nonlinear
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A closed-form Timoshenko beam element with multiple localized singularities for nonlinear material behavior using the strong discontinuity approach Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-04-02 Ángel Uriel Martínez-Miranda, Gelacio Juárez-Luna
The development of a novel closed-form beam element for nonlinear material behavior in structures is described, which is formulated according to Timoshenko beam theory and the embedded strong discontinuity approach. Multiple strong transverse and rotation discontinuities are considered to model several dissipative mechanisms due to localized singularities in the shear strain and curvature fields. Issues
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Theoretical study on dynamic response stability of reinforced concrete structures with a negative skeleton curve gradient under steady-state oscillation Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-31 Keita Uemura, Kosuke Watanabe, Yoshikazu Takahashi
The dynamic stability of reinforced concrete structures in regions of reduced restoring force was theoretically investigated according to the ductility and negative gradient in the skeleton curve of their restoring force - displacement relationship, using the frequency response function derived by Caughey (1960). This method derives the frequency response function, which is a relational expression
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Propagation of compression solitary waves on tensegrity-like lattices made of truncated octahedrons Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-30 Julia de Castro Motta, Kevin Garanger, Julian J. Rimoli
This work studies the properties of compression solitary waves propagating through one-dimensional mass–spring lattices, whose unit cells show an interaction law mimicking that of a truncated tensegrity octahedron. Analytic methods based on the Weierstrass criterion for compact solitary waves, and the long wave approximation theory are employed to demonstrate that the analyzed systems support compression
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A viscoelastic-viscoplastic damage model with a cohesive zone in between Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-30 Chandramohan Abhishek, Nadimpalli Raghukiran
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Frictional vibration analysis of train braking system considering wheel-rail attachment and multi-body friction Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-29 Yuhang Zhang, Kai Zhou, Jinsong Zhou, Chongyi Chang, Dao Gong, Wenjing Sun
Train vibration and noise have always been problems that affect the service life of relevant components and passenger comfort. This paper focuses on the vibration of the train braking system and establishes a torsional vibration model of the train braking system considering wheel-rail attachment and multi-body friction, which includes three rotational degrees of freedom of the brake disc, brake block
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Combined vibration analysis of a top tensioned riser with the geometrical nonlinearity Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-27 Dan Wang, Zhifeng Hao, Zhenyang Chen, Fangqi Chen
A coupling model representing the interactions between the riser and vortices is proposed, of which the time-varying top tension and the internal nonlinear axial force due to the bending of the riser are considered. In addition, the van der Pol oscillator is introduced to simulate the time-varying characteristic of the vortices. The motion equations are derived and the first-order mode approximation
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Limit analysis of planar steel frames with variable section type and arbitrary loads Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-27 M. Cacho-Pérez
This work calculates the collapse load factor and the collapse mechanism of 2D frames with slender structural members of variable section type and arbitrary distributed loads. A Kinematic Direct Method (KDM) is used for calculations. The equilibrium equations necessary to carry out the analysis are obtained systematically. The search for the collapse mechanism and the collapse load factor is carried
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Enhancing seismic resilience of nonlinear structures through optimally designed additional mass dampers Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-27 Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Reducing dynamic responses in structures subjected to external excitations like earthquakes and strong winds is crucial for ensuring safety and serviceability. Conventional tuned mass dampers (CTMDs) have limitations in mitigating nonlinear vibrations efficiently. This research proposes the use of additional mass dissipation (AMD) devices to control nonlinear dynamic responses more effectively than
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Nonlinear stability analysis of Rayleigh-Bénard problem for a Navier-Stokes-Voigt fluid Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-21 Mahanthesh Basavarajappa, Dambaru Bhatta
The linear and nonlinear stability analyses of thermosolutal convection in a non-Newtonian Navier-Stokes-Voigt fluid, considering Soret and Ekman damping effects, are conducted analytically. Instability thresholds are determined for thermosolutal convection within a viscoelastic fluid of the Kelvin-Voigt type, wherein a dissolved salt field exists. Two scenarios are examined: one where the fluid layer
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Dynamic modeling for continuous locomotion of bionic soft worm-like robot Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-19 Liwen Zhang, Qiping Xu, Jinyang Liu
In the nature, worm-like robot can bend its slender body into an arch bridge when it moves, and it will move quickly in this deformation mode to nimbly escape from enemies once encountering danger. Inspired by this locomotion mechanism, a plenty of bionic soft worm-like robots have been devised and studied adopting quasi-static method. Nevertheless, how to describe the stick-slip transition and the
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Corrigendum to “Single input-single output coupled resonators with nonlinear self-excitation for multiple mass sensing” [Int. J. Non Lin. Mech. 160 (2024) 104635] Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-19 Hiroshi Yabuno, Mai Zhang, Takumi Furihata, Walter Lacarbonara
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Helicity in dispersive fluid mechanics Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-16 S.L. Gavrilyuk, H. Gouin
By dispersive models of fluid mechanics we are referring to the Euler–Lagrange equations for the constrained Hamilton action functional where the internal energy depends on high order derivatives of unknowns. The mass conservation law is considered as a constraint. The corresponding Euler–Lagrange equations include, in particular, the van der Waals–Korteweg model of capillary fluids, the model of fluids
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Stochastic dynamics of a nonlinear vibration energy harvester subjected to a combined parametric and external random excitation: The distinct cases of Itô and Stratonovich stochastic integration Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-16 Subramanian Ramakrishnan, Aman Kumar Singh
The Stratonovich and Itô interpretations of a stochastic integral are mathematically consistent, distinct representations that yield contrasting response characteristics for stochastic dynamical systems subjected to multiplicative noise, such as parametric random excitation. The contrasting dynamics from the two interpretations currently remain unexplored in vibration energy harvester dynamics. We
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Nonlinear bending of a soft slab subjected to vertical compression: A continuum mechanics model Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-16 Lingling Chen, Tianyu Huang, Xinyu Xing, Shengyou Yang
The small bending behavior of linear elastic materials has been widespread in engineering in the history of mechanics. With the occurrence of soft materials, finite deformation bending is of great interest due to the high nonlinearity in large bending deformation. Previous theories primarily focus on the pure bending assumption, which is hard to achieve in practical bending experiments of soft materials
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Modeling and dynamic analysis of fractional order nonlinear viscoelastic rod Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-16 Meihua Zhang, Yajuan Hao, Yiming Chen, Gang Cheng, Thierry Barrière, Jingguo Qu
A fractional order constitutive behavior law is proposed in this paper to describe the viscoelasticity of the nonlinear rod. The fractional governing equation of the nonlinear viscoelastic rod is established. An effective algorithm based on the shifted Legendre polynomials is used to solve the governing equation directly in the time domain. The effectiveness of the proposed numerical algorithm is confirmed
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On fluid-saturated poro-hyperelastic rotating cylinder: A centrifugal filtration Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-15 M. Taghipour Darzinaghibi, A. Hassani, Sh. Rahmani, A.M. Goudarzi
One of the applications of porous materials is centrifugal filtration. This study develops the Lagrangian equations that govern a steady-state, fluid-saturated, poro-hyperelastic, axisymmetric rotating cylinder. The formulation assumes incompressible solid and Newtonian fluid constituents to address the filtration process. The differential scheme takes into account the impact of porosity on the reduction
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Development of the variation-of-elastic-energy-based virtual fields method for parameter identification of incompressible and compressible hyperelastic materials Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-14 Mingliang Jiang, Xinwei Du, Zhujiang Wang
The virtual fields method (VFM) has played a pivotal role in parameter identification of hyperelastic materials, spanning from rubbers to soft tissues. A key challenge in VFM lies in calculating the internal virtual work, which necessitates the computation of the stress and its conjugate virtual strain. In this study, we introduce a novel theoretical framework for VFM, which directly computes the internal
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Riemann problem for a general variable coefficient Burgers equation with time-dependent damping Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-13 Richard De la cruz, Yun-guang Lu, Xian-ting Wang
In this paper, we study the Riemann problem for a general variable coefficient Burgers equation with time-dependent damping. We use a nonlinear time-dependent viscosity equation with a similarity variable. Thus, when the viscosity goes to zero, we obtain Riemann solutions to the general variable coefficient Burgers equation with time-dependent damping. Moreover, we use the Lax–Friedrichs scheme to
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A novel nonlinear oscillator consisting torsional springs and rigid rods Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-09 Xinyi Huang, Qingjie Cao
In this paper, we propose an archetypal double-winged novel nonlinear oscillator composed of torsional springs and rigid rods which behaves smooth and discontinuous dynamics and a kind of special collision pendulum depending on the varying of a geometrical parameter. The system behaves complicated equilibrium bifurcations with different geometrical states, leading to a series of buckling phenomenon
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Mechanical and vibration characteristics investigation of the elastic ring squeeze film damper-rotor considering oil film sealing and leakage Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-08 Kai Sun, Zhong Luo, Lei Li, Fayong Wu, Haotian Hao
Elastic ring squeeze film damper (ERSFD) is extensively used in industrial rotating systems due to its excellent noise control and vibration suppression characteristics. However, the oil film sealing and leakage has a profound effect on the mechanical and vibration characteristics of the ERSFD and the ERSFD-rotor during operation. The sealing and leakage reduce the axial flow of the oil film, leading
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Moment Lyapunov exponent and stochastic stability of a vibro-impact system driven by non-Gaussian colored noise Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-08 Dongliang Hu, Ningping Guo, Kun Zhao, Juan L.G. Guirao, Huatao Chen
Vibro-impact phenomena are prevalent in practical engineering, making research on their stochastic dynamic characteristic of great practical significance. However, the research on stochastic stability and bifurcation of vibro-impact systems is still limited, especially the moment stability. In this paper, based on the th moment Lyapunov exponent, the stochastic stability of a vibro-impact system driven
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The subloading surface model in hyperelastic-based plasticity with time integration algorithms in intermediate and current configurations Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-07 Reza Toluei, Mahsa Kharazi
This paper introduces a novel application of subloading surface concept to effectively model the elastoplastic behavior of materials in the finite strain regime. The subloading surface approach allows for a smoother and more seamless transition from the elastic to the plastic region. Two time integration schemes are presented in this study, one in the intermediate configuration and the other in the
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Influences of external moment on the contact characteristics of angular contact ball bearings under combined loads Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-06 Wenbing Tu, Chenlu Liu, Hao Wang, Dengliang Hu, Wennian Yu
Angular contact ball bearings are widely used in rotating machinery. The external moment about the bearing lateral direction (i.e. the lateral moment) applied to a bearing affects the service life and performance of the bearings by influencing its internal contact characteristics. This work established a quasi-dynamic model of the ball bearing by comprehensively considering the inclination angle of
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Walking control of semi-passive robot via a modified Q-learning algorithm Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-06 Zhongkui Sun, Yining Zhou, Wei Xu, Yuexin Wang
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Supercritical and subcritical aeroelastic behaviors of a three-dimensional wing coupled with a nonlinear energy sink Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-04 Chengde Huang, Guannan Zheng, Xueyuan Nie, Guowei Yang
This paper studies the flutter control of a three-dimensional wing using a nonlinear energy sink (NES), which has a purely cubic stiffness and a linear damper. The structural model is derived by Lagrange's equations and the aerodynamics is modeled using the auto regressive with exogenous input method. Both models are solved in a tightly coupling manner to obtain time domain results. Then, the structural
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Delayed resonator for complete vibration suppression of primary structures with nonlinear stiffness Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-03-02 Yifan Liu, Li Cheng
Delayed resonator (DR) is an active vibration absorber and is known for its complete vibration suppression capability by manipulating the feedback loop delay. This work aims to extend the DR concept from the widely considered linear applications to suppress vibrations on primary structures with nonlinear stiffness, based on the motivation that absolute linearity does not exist and nonlinearity is inherent
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Modelling of bifurcation of electro-elastic materials: Advantages and limits of the Stroh's compound matrix formulation for spherical shells Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-29 Ricardo Díaz-Calleja, Damian Ginestar, Pedro Llovera-Segovia, Alfredo Quijano-López
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Nonlinear modeling of nanoscale interaction forces between atomic force microscope and carbon nanotubes Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-27 Moharam Habibnejad Korayem, Rouzbeh Nouhi Hefzabad
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Nonlinear model updating of the rotor-bearing system by multi-harmonic balance method and analytical sensitivity derivation Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-26 Tianxu Zhu, Chaoping Zang, Xunkai Wei, Hu Chen, Hao Wang
Responses of the bearing system are usually predicted or tested, to analyze its nonlinear dynamic characteristics. However, responses predicted from the bearing model constructed by Hertz contact theory usually show differences with their tested counterparts, denoting the improper setting of the nonlinear contact parameters. It is compulsory to reduce such differences and obtain a precise bearing model
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Biomechanical stresses in a residually stressed idealized intervertebral disc Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-23 Gerhard A. Holzapfel, Ray W. Ogden
Intervertebral discs are soft biological tissues that have an important function in accommodating the movement of the spine during which the discs deform and act as shock absorbers to protect the spine from damage. Therefore, it is important to understand and model their mechanical properties to predict their response under various loading conditions. Towards this end, a simplified geometry of a single
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Energy of a non-linear viscoelastic model compatible with fractional relaxation Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-19 Andrea Giusti, Andrea Mentrelli, Tommaso Ruggeri
Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in Ruggeri (2024). This theory extends the evolution of the viscous stress beyond the linear framework of the Maxwell model to the non-linear realm, provided that the viscous energy function is given. This work aims at establishing a possible constitutive law for the viscous energy such that the relaxation
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Cytokine-induced instabilities in a reaction–diffusion-chemotaxis model of Multiple Sclerosis: Bifurcation analysis and well-posedness Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-17 F. Gargano, M.C. Lombardo, R. Rizzo, M. Sammartino, V. Sciacca
In this paper, we develop a model for the evolution of the Multiple Sclerosis pathology that considers the modulatory influence of cytokines on the activation rate of macrophages. Our starting point is the reaction–diffusion-chemotaxis model proposed in 4, and we modify the macrophage activation mechanism. What triggers the immune cells into an active state is still debated in the medical literature
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Dynamics of accelerating and decelerating flows: A boundary layer examination with non-similar approach and convective boundary condition Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-16 Mojeed T. Akolade, Gabriel Samaila, Michael O. Oni, Abdulhakeem Yusuf, Peter Bukar Malgwi, Taiwo S. Yusuf, Yusuf O. Tijani
Moisture/air-flow over the aircraft wing and bonnet of a moving car in aerodynamical systems exhibit dynamic behavior characterized by accelerating and decelerating flows. These analysis is essential and applicable in various fields, including physics, engineering, and fluid mechanics. The present investigation aim to explore the dynamics of accelerating and decelerating flows within the framework
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Energy transfer for enhanced acoustic black hole effect through a cable-induced mechanical nonlinearity Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-15 Xiang Sun, Gaetan Kerschen, Li Cheng
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Accuracy and temporal analysis of non-Newtonian models of blood in the computational FFR – Numerical implementation Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-15 M. Fernandes, L.C. Sousa, C.C. António, S.I.S. Pinto
Non-invasive assessment of stenosed coronary is a goal for clinical applications. Thus, engineering aligned with medicine has been the solution to solve this problem. This work, serving as a proof of concept, has the main goal to predict the non-invasive fractional flow reserve (FFR) in an atherosclerotic coronary artery. A 3-element Windkessel and Womersley models were used to model boundary conditions
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A novel concept of components system stiffness and stiffness model application for VSV adjustment mechanism Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-13 Jing Chang, Zhong Luo, Hongwei Zhang, Jiang Zhao, Qingkai Han, Fangjun Han
In actual engineering practice of the variable stator vane (VSV) adjustment mechanism, it has been found that the deformation beyond design conditions of the kinematic chain formed from the linkage ring to the blades influences the motion accuracy of the mechanism the most. In this paper, the static stiffness model of the components system, formed from the linkage ring to the blades, is developed and
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Numerical continuation and stability of nonlinear systems with distributed delays: Application to fluid-induced impacts of tubes in cross-flow Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-13 Roberto Alcorta, Benoit Prabel, Sebastien Baguet, Philipe Piteau
Fluid–elastic instability is the main source of concern during the design of heat-exchanger tube bundles. The associated research has focused on the understanding of the physical mechanisms behind this phenomenon and the establishing of models capable of predicting its onset; also some concomitant work has been done to establish post-instability behaviour and to prevent from excessive wear in possible
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A new constitutive relation to describe the response of bones Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-12 J. Arumugam, P. Alagappan, J. Bird, M. Moreno, K.R. Rajagopal
Trabecular bone, a solid that has a heterogeneous porous structure, demonstrates nonlinear stress–strain relationship, even within the small strain region, when subject to stresses. It also exhibits different responses when subject to tension and compression. This study presents the development of an implicit constitutive relation between the stress and the linearized strain specifically tailored for
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Vehicle shimmy performance analysis using inerter-based suppression mechanism and considering steering linkage clearance Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-11 Yong Wang, Bingbing Xu, Wenlong Chen, Haodong Meng
Vehicle shimmy could occur in the running process when the wheel encounters external disturbance, which affects the vehicle safety and stability. Four types of passive inerter-based suppression mechanisms are proposed to enhance the vehicle shimmy performance, the steering linkage clearance is considered as the nonlinear factor existing in the vehicle system. The vehicle shimmy model using inerter-based
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Large twisting of non-circular cylinders in unconstrained elasticity Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-10 Federico Oyedeji Falope, Luca Lanzoni, Angelo Marcello Tarantino
This paper deals with the equilibrium problem of non-circular cylinders subjected to finite torsion. A three-dimensional kinematic model is formulated, where, in addition to the rigid rotation of the cross sections, the large twist of the cylinder also generates in- and out-of-plane pure deformation of the cross sections and the variation of the cylinder length. Following the semi-inverse approach
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Harmonic balance formulation for nonlinear wave-scattering clusters Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-10 Joshua R. Tempelman, Kathryn H. Matlack, Alexander F. Vakakis
Nonlinear oscillators can be used as a scattering mechanism to passively manipulate propagating elastic waves in an energy-dependent manner. However, the interaction of incident elastic waves with clusters of discrete nonlinear oscillators introduces considerable modeling challenges that must be overcome to leverage this passive scattering mechanism. This paper proposes a harmonic balance (HB) approach
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Catastrophic bifurcations in an aggregated carbon nanotube reinforced microbeam in the framework of the MCST Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-09 Ling Luo, Jing Xu, Hadi Arvin
Recently in engineering science, studies have been conducted in the field of using large-amplitude vibrations, especially when a system undergoes a superharmonic excitation. This is accomplished in order to determine the location and depth of a crack in a structure, promote the energy absorption process, and for system identification purposes. Some studies demonstrated that energy absorption can be
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A complete deterministic model of point contact mixed lubrication coupling dual-mode effects of surface fractal characteristics Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-09 Xin Yu, Yunyun Sun, Shijing Wu
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Wave propagation and multi-stopband behavior of metamaterial lattices with nonlinear locally resonant membranes Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-08 Yichang Shen, Walter Lacarbonara
Wave propagation and stopband behavior in square lattices hosting nonlinear resonators made of suspended piezoelectric membranes with a central mass are investigated by treating asymptotically the wave propagation equations obtained via a projection method combined with the Floquet–Bloch theorem. The metamaterial membrane resonators made of a piezoelectric polymer are designed to exploit the piezoelectric
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An approach to the micro-strain distribution inside nanoparticle structure Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-07 A.S. Abdel-Rahman, Youssef A. Sabry
Williamson-Hall, Stocks-Wilson, Scherrer, Halder-Wagner, and Size-Strain Plot (SSP) methods are used essentially to ensure the material particle size falls at the nano-level. They treat the broadening in the XRD peak as a sum of Gauss and Lorentz diffraction probability functions. In this work, an approach to the microstrain distribution is presented as a strain distribution (SD) model, assuming a
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An enhanced magnetically coupled bistable energy harvester with a spring oscillator: A numerical and experimental study Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-05 Qiubo Jiang, Chuanyun Yu, Qiang Gao, Ning Zhang, Beibei Sun
Introducing the dynamic effect of magnetic coupling to a conventional bistable energy harvester is likely to further enhance its working bandwidth and output power. In this paper, a novel two-degree-of-freedom magnetically coupled bistable energy harvester employing an auxiliary spring oscillator is proposed. The governing equations of the system are first established based on the magnetic dipole model
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Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-04 Barış Erbaş, Julius Kaplunov, Kumbakonam R. Rajagopal
The equilibrium equation governing the plane strain static problem for a thin elastic layer is studied using asymptotic analysis for a material with generalized Young’s modulus weakly dependent on the mass density. Within the context of the adopted scaling, the effect of a physical nonlinearity arises at the second order along with shear deformation and other linear phenomena. Refined equations for
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Motion of liquid particles in the field of 1:1 resonance nonlinear wave structures in a fluid beneath an ice cover Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-03 A.T. Il’ichev, A.S. Savin, A. Yu Shashkov
A fluid layer of finite depth described by Euler’s equations is considered. The ice cover is modeled by a geometrically non-linear elastic Kirchhoff–Love plate. The trajectories of liquid particles under the ice cover are found in the field of a nonlinear surface traveling waves of small, but finite amplitude, indicating the focusing and defocusing of nonlinear carrier wave, namely, a solitary wave
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Micro-mechanical interpretation of the non-linear tensile response of structured rods. Experiments on prototyped Gedankenmodelle with wavy sub-rods and application to Carbon NanoTube fibers Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-03 Claudio Boni, Gianni Royer-Carfagni
In order to demonstrate the wide range of inelastic non-linear tensile responses observed in structured fibers of various types, an ideal phenomenological model (Gedankenmodell) is theoretically analyzed, prototyped and tested. This consists in a rod made of a regular ensemble of sticks in a brickwork-like three-dimensional grid, hooped by elastic bands. The stick lateral faces are wavy surfaces in
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Analytical and computational study of compressible neo-Hookean model using VAM for two types of global warping constraints Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-02 Shravan Kumar Bhadoria, Ramesh Gupta Burela
The current work focuses on the nonlinear analysis of the compressible neo-Hookean plates using the Variational Asymptotic Method (VAM), with particular emphasis on the two types of global warping constraints. The two sets of warping constraints used are: Leverage Global Rotation Constraint (LGRC) and Derivative Global Rotation Constraint (DGRC). The aim is to investigate the effect of these constraints
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Vibration characterization of a planar multi-degree-of-freedom industrial machine Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-01 Jingxuan Wang, Senkai Mo, Guo Yao
This paper analyzes the dynamic character of a planar multi-degree-of-freedom industrial machine using an industrial robot as a reference model. A nonlinear dynamics model of a multi-body structure including the end effector, base and the manipulator is established using the Lagrange's principle. The validity was verified by ADAMS simulation with the established dynamic model. Focusing on the low-frequency
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A nonlinear approach to viscoelasticity via Rational Extended Thermodynamics Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-01 Tommaso Ruggeri
In the one-dimensional isothermal case, we introduce a simple model of nonlinear viscoelasticity within the Rational Extended Thermodynamics (RET) framework. The differential system is entirely determined by the universal principles of RET, exhibiting symmetric hyperbolic form and ensuring the existence of smooth solutions for appropriately small initial data. In the linear case, the equation for viscous
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Stability of nonlinear normal modes in the system of coupled pendulums in a magnetic field Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-01 Yulia E. Surganova, Yuri V. Mikhlin
The dynamics of the system of two elastically coupled pendulums located in a magnetic field is considered when the masses of the pendulums differ significantly. In this case, both coupled and localized nonlinear normal modes (NNMs) can be observed. Such modes are constructed by the multiple scales method. The stability of NNMs is studied using a numerical-analytical procedure, which is related to the
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A consistent transversely-isotropic hyper-viscoelastic model: Finite element implementation and mechanical characterization of biological tissues Int. J. Non-Linear Mech. (IF 3.2) Pub Date : 2024-02-01 Manu Hegde, Karthik K., Vishwanath Managuli, Subraya Krishna Bhat
Soft tissues like skeletal muscles, ligaments and tendons exhibit transversely-isotropic hyper-viscoelastic (VE) behavior. Simulating the mechanical response of such soft tissues under various types of loading scenario requires accurate constitutive models. Several models have been proposed towards this goal. Although these models successfully capture the deformations under different kinds of loadings