International Journal of Non-Linear Mechanics最新文献

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Geometrically nonlinear oscillations of composite sandwich cylindrical shell with honeycomb core under axial time periodic force 轴向时间周期力作用下蜂窝芯复合材料夹层圆柱壳的几何非线性振动
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-25 DOI: 10.1016/j.ijnonlinmec.2025.105196
B. Uspensky , K. Avramov , S. Malyshev , O. Nikonov
{"title":"Geometrically nonlinear oscillations of composite sandwich cylindrical shell with honeycomb core under axial time periodic force","authors":"B. Uspensky ,&nbsp;K. Avramov ,&nbsp;S. Malyshev ,&nbsp;O. Nikonov","doi":"10.1016/j.ijnonlinmec.2025.105196","DOIUrl":"10.1016/j.ijnonlinmec.2025.105196","url":null,"abstract":"<div><div>Cylindrical composite sandwich shell, which consists of two outer layers and thick honeycomb core, is considered. The outer thin layers are manufactured from composite orthotropic material and honeycomb core is manufactured from orthotropic plastic.</div><div>Parametric nonlinear oscillations of cylindrical shell under the action longitudinal time periodic force are considered. The honeycomb core is homogenized. As a result, orthotropic solid continuum is obtained. Stressed state of every layer is described by higher order shear theory, which uses five generalized displacements (three displacements projections and two rotations angles of normal to middle surfaces). The assumed-mode method is applied to obtain the system of nonlinear ordinary differential equations with respect to the generalized coordinates to describe the sandwich structure vibrations.</div><div>The shooting technique and continuation method are applied jointly to analyze the nonlinear oscillations, their stability and bifurcations. The geometrically nonlinear oscillations are considered in the principal parametric resonances with account of internal resonances. Stability and bifurcations of periodic motions are shown on the frequency response, which describes the structure nonlinear dynamics in principle parametric resonances.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105196"},"PeriodicalIF":2.8,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144511063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a doubled-frequency squared-amplitude hybrid energy harvester 在双频平方振幅混合能量采集器上
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-19 DOI: 10.1016/j.ijnonlinmec.2025.105192
Nguyen Ngoc Hung , La Duc Viet , Nguyen Ngoc Linh
{"title":"On a doubled-frequency squared-amplitude hybrid energy harvester","authors":"Nguyen Ngoc Hung ,&nbsp;La Duc Viet ,&nbsp;Nguyen Ngoc Linh","doi":"10.1016/j.ijnonlinmec.2025.105192","DOIUrl":"10.1016/j.ijnonlinmec.2025.105192","url":null,"abstract":"<div><div>In this study, a nonlinear piezoelectric-electromagnetic hybrid energy harvester is proposed to combine a linear transverse motion of the piezoelectric bimorph and a nonlinear axial motion of the magnet inside a coil. By simply releasing the axial motion, the hybrid harvester can improve the power harvested in comparison with the optimal piezoelectric harvester. The governing equations contain the partial differential equation modeling the distributed-parameter of piezoelectric harvester and the ordinary differential equations modeling the lumped-parameter model of electromagnetic harvester. Two important phenomena are revealed: the frequency-doubling and squared-amplitude effects. The first phenomenon is used to derive the quartic equation that determines the dimensionless optimal parameters. The second one explains the improved performance of the hybrid harvester. The conclusions drawn from theoretical analysis are verified by simulation using a Multi Flexible Body Dynamics software and by a proof of concept test.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105192"},"PeriodicalIF":2.8,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of a liquid film hanging underneath a large horizontal cylinder 悬挂在一个大的水平圆筒下面的液膜的稳定性
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-11 DOI: 10.1016/j.ijnonlinmec.2025.105189
Sergey Aktershev, Aleksey Bobylev, Andrey Cherdantsev
{"title":"Stability of a liquid film hanging underneath a large horizontal cylinder","authors":"Sergey Aktershev,&nbsp;Aleksey Bobylev,&nbsp;Andrey Cherdantsev","doi":"10.1016/j.ijnonlinmec.2025.105189","DOIUrl":"10.1016/j.ijnonlinmec.2025.105189","url":null,"abstract":"<div><div>Here we investigate stability of a film of viscous liquid hanging under a large horizontal cylinder. The liquid film is restricted by two straight contact lines; it is hold by the capillary force balancing the action of gravity. However, Rayleigh-Taylor instability of perturbations along the cylinder may destabilize the film and cause liquid dripping. Here we develop quasi-two-dimensional model for growth and propagation of perturbations in such a film. Linear stability analysis is carried out and the dispersion relationships are obtained. It is found that the width of the film is crucial for film stability: when the width is thinner than certain level, the film remains stable. Above this level, Rayleigh-Taylor instability develops. The wavelength of the fastest growth also depends on the film width. The cases of periodic perturbation and nonlinear localized perturbations are considered; in the latter case, the initial perturbation gets deformed into a new signal dominated by the wavelength of maximum growth.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105189"},"PeriodicalIF":2.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Admissibility of discontinuities in the solutions of a hyperbolic 2 × 2 system of conservation laws 双曲2x2守恒律系统解中不连续的可容许性
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-11 DOI: 10.1016/j.ijnonlinmec.2025.105174
A.P. Chugainova, R.R. Polekhina
{"title":"Admissibility of discontinuities in the solutions of a hyperbolic 2 × 2 system of conservation laws","authors":"A.P. Chugainova,&nbsp;R.R. Polekhina","doi":"10.1016/j.ijnonlinmec.2025.105174","DOIUrl":"10.1016/j.ijnonlinmec.2025.105174","url":null,"abstract":"<div><div>The problem of admissibility of discontinuities in the solutions of a hyperbolic system of two conservation laws describing quasitransverse waves in nonlinearly elastic weakly anisotropic media is studied. The standard viscous regularization method is applied to the defining system of equations. Regularization leads to the situation where two different viscosity profiles may correspond to the discontinuity. The analysis of the linear (spectral) stability of these two profiles has shown that one of them is stable while the other is unstable. This conclusion demonstrates that the definition of admissibility of a discontinuity should include the requirement of stability of the discontinuity structure (the viscosity profile).</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105174"},"PeriodicalIF":2.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Probabilistic solution of high-dimensional nonlinear systems excited by combined Gaussian and Poisson white noise 高斯和泊松联合白噪声激励下高维非线性系统的概率解
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-11 DOI: 10.1016/j.ijnonlinmec.2025.105186
Zirong Niu
{"title":"Probabilistic solution of high-dimensional nonlinear systems excited by combined Gaussian and Poisson white noise","authors":"Zirong Niu","doi":"10.1016/j.ijnonlinmec.2025.105186","DOIUrl":"10.1016/j.ijnonlinmec.2025.105186","url":null,"abstract":"<div><div>Determining the probability density function (PDF) solution for nonlinear systems excited to combined Gaussian and Poisson white noise is of great significance in stochastic dynamics. However, this task becomes computationally intractable for high-dimensional systems. To address this challenge, this study employs a dimension-reduction method previously developed for analyzing system responses under Gaussian white noise. Here, the method is extended to determine the stationary responses of nonlinear systems under combined Gaussian and Poisson white noise excitations. The proposed approach utilizes the generalized Fokker-Planck-Kolmogorov (GFPK) equation to describe the evolution of the system response PDF. By integrating the unconcerned state variables in the series-form GFPK equation, a one-dimensional integro-differential equation is obtained. Then, equivalent drift coefficients are introduced for this dimension-reduced GFPK equation, whose equivalent form is still a one-dimensional forward GFPK equation. Finally, the fourth-order finite difference method (FDM) is applied to solve this dimension-reduced GFPK equation, and its stationary velocity responses are obtained. A six degree-of-freedom (DOF) coupled Duffing-van der Pol system and an 8-DOF system with nonlinear terms in the velocities are demonstrated to validate the proposed approach. Numerical results show that the proposed approach is in good agreement with the Monte Carlo simulation (MCS) results. In addition, some parameters, such as nonzero mean impulse amplitudes of the Poisson noise, are discussed in the examples.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105186"},"PeriodicalIF":2.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pacemaker position and network topology affect the synchronization patterns in coupled Huber–Braun neurons 起搏器位置和网络拓扑结构影响耦合Huber-Braun神经元的同步模式
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-07 DOI: 10.1016/j.ijnonlinmec.2025.105173
Agustín Farrera-Megchun , Pablo Padilla-Longoria , Jesús Espinal-Enríquez , Gerardo J. Escalera Santos , Roberto Bernal-Jaquez
{"title":"Pacemaker position and network topology affect the synchronization patterns in coupled Huber–Braun neurons","authors":"Agustín Farrera-Megchun ,&nbsp;Pablo Padilla-Longoria ,&nbsp;Jesús Espinal-Enríquez ,&nbsp;Gerardo J. Escalera Santos ,&nbsp;Roberto Bernal-Jaquez","doi":"10.1016/j.ijnonlinmec.2025.105173","DOIUrl":"10.1016/j.ijnonlinmec.2025.105173","url":null,"abstract":"<div><div>Neural synchronization is a fundamental process underlying brain function. However, the interplay between the neuron’s position in the network and its impact on synchronization is not fully understood. This paper examines the impact of a pacemaker on neural synchronization and their firing patterns using the Huber–Braun model. This examination is carried out through numerical analysis, utilizing established metrics such as Inter-Spike Interval (ISI) bifurcation and the order parameter, R. Our observations indicate that within small-scale networks, varying structural arrangements—namely, linear chains, rectangular configurations, and regular network models—can elicit diverse collective behaviors. These include the emergence of chimera states, anomalous synchronization patterns, and cluster synchronization phenomena. We further applied an Eigenvector-based method to analyze and verify cluster synchronization in specific cases. Additionally, we present evidence that links quasi-Laplacian centrality to the threshold of coupling strength required for synchronization in these networks.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105173"},"PeriodicalIF":2.8,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-linear finite element damage modeling after multiple cyclic loading of rubberlike materials 类橡胶材料多次循环加载后非线性有限元损伤建模
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-06 DOI: 10.1016/j.ijnonlinmec.2025.105170
Robert Eberlein , Claus Wrana
{"title":"Non-linear finite element damage modeling after multiple cyclic loading of rubberlike materials","authors":"Robert Eberlein ,&nbsp;Claus Wrana","doi":"10.1016/j.ijnonlinmec.2025.105170","DOIUrl":"10.1016/j.ijnonlinmec.2025.105170","url":null,"abstract":"<div><div>This study presents a numerical implementation concept for elastomeric components under cyclic loading conditions at finite strains. Initial material damage is considered that is widely known as Mullins effect. A comprehensive quasi-static model is introduced and prepared for finite element implementation, covering both initial and subsequent loading cycles, converging to equilibrium. The combination of a non-linear relaxation-based hyperelastic model with selected damage functions allows for an accurate quantitative description of arbitrary elastomeric components. The study demonstrates the integration of the relaxed Modified Extended Tube Model (METM) in combination with Advanced Mullins Damage Modeling (AMDM) into a 3D finite element framework. Parameter studies and a relevant example from engineering practise prove the robustness of the finite element implementation and the applicability of the material modeling concept for virtually optimizing customized rubber compounds based on predefined elastomeric component properties.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105170"},"PeriodicalIF":2.8,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144307956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parameter identification of lap-type joints based on Bouc–Wen–Bilinear model and event-driven steady-state response sensitivity method 基于bouc - wen -双线性模型和事件驱动稳态响应灵敏度法的搭接节点参数辨识
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-04 DOI: 10.1016/j.ijnonlinmec.2025.105157
Huasong Liao, Zhong-Rong Lu, Jike Liu, Li Wang, Dahao Yang
{"title":"Parameter identification of lap-type joints based on Bouc–Wen–Bilinear model and event-driven steady-state response sensitivity method","authors":"Huasong Liao,&nbsp;Zhong-Rong Lu,&nbsp;Jike Liu,&nbsp;Li Wang,&nbsp;Dahao Yang","doi":"10.1016/j.ijnonlinmec.2025.105157","DOIUrl":"10.1016/j.ijnonlinmec.2025.105157","url":null,"abstract":"<div><div>The pursuit of accurately representing the frictional behavior of joint interfaces has led to the development of numerous Iwan models, each distinguished by its unique density function. However, deriving the density function that most accurately represents the frictional hysteresis in bolted joints is still a significant challenge, primarily due to epistemic uncertainties associated with interface characteristics. This paper proposes a novel Bouc–Wen–Bilinear (BWB) Iwan-type model, wherein the model parameters are identified directly from hysteretic curves rather than relying on specific density functions. This novel model simulates the micro-slip behavior of the joint interfaces by the Bouc–Wen model instead of the integral formulation of density functions. To calibrate lap-type joints, steady-state response data, accurately capturing the dominant friction mechanisms inherent in bolted joints, is integrated with an event-driven sensitivity analysis method, resulting in a tailored event-driven steady-state response sensitivity method. Furthermore, a normalization technique is proposed and incorporated into the tailored method to address the order-of-magnitude discrepancies between model parameters and response variables. Numerical simulations and experiment studies show that the proposed BWB model efficiently represents the frictional hysteresis of lap-type joints.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105157"},"PeriodicalIF":2.8,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144229852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A perturbation approach to two-phases, non-local, fully deformable beams 两相,非局部,完全可变形梁的微扰方法
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-02 DOI: 10.1016/j.ijnonlinmec.2025.105136
Uğurcan Eroğlu , Giuseppe Ruta
{"title":"A perturbation approach to two-phases, non-local, fully deformable beams","authors":"Uğurcan Eroğlu ,&nbsp;Giuseppe Ruta","doi":"10.1016/j.ijnonlinmec.2025.105136","DOIUrl":"10.1016/j.ijnonlinmec.2025.105136","url":null,"abstract":"<div><div>The local theory of elasticity (inner forces are sensible at insensible intermolecular distances) faces inconsistencies and limitations when one considers bodies at very small scales, i.e., with characteristic dimensions that are not several orders of magnitude greater than the intermolecular lengths, even in a linear setting. The so-called <em>quasi-continuum models</em>, preserving the principles of kinematics and balance of ordinary continuum mechanics while incorporating a richer description of inner forces at the constitutive level, attempt to mitigate this issue. One such model, well-known and commonly adopted in the last years, is due to Eringen and linearly expresses stress in terms of strain in a differential or integral form, by resorting to the convolution of a kernel function. This model, while successful for infinite media, encounters possible drawbacks when applied to finite domains, necessitating the imposition of “constitutive boundary conditions” of uncertain physical meaning. A series of alternative proposals in the literature try to overcome such difficulty; in the present contribution, we apply a perturbation procedure that circumvents this requirement. We apply this methodology to analyse paradigmatic problems of statics and free dynamics for fully deformable beams, and we present closed-form first-order expressions for benchmark scenarios, avoiding the necessity to use the constitutive boundary conditions. The solutions for purely flexible, Bernoulli–Euler, beams can be attained as a particular case of those provided here.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105136"},"PeriodicalIF":2.8,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144223478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infrasound amplification using simple strongly nonlinear granular metamaterials 利用简单的强非线性颗粒超材料进行次声放大
IF 2.8 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-06-02 DOI: 10.1016/j.ijnonlinmec.2025.105160
Elbens Carlos Viana Reis , Luis Paulo Silveira Machado , Surajit Sen
{"title":"Infrasound amplification using simple strongly nonlinear granular metamaterials","authors":"Elbens Carlos Viana Reis ,&nbsp;Luis Paulo Silveira Machado ,&nbsp;Surajit Sen","doi":"10.1016/j.ijnonlinmec.2025.105160","DOIUrl":"10.1016/j.ijnonlinmec.2025.105160","url":null,"abstract":"<div><div>Monodispersed and inverse tapered granular chains with grain sizes varying uniformly from small to large under external harmonic excitations are numerically investigated. The control parameters are the number of granules, driving amplitude, driving frequency, and tapering parameter. The frequency response is analyzed using the transfer function, where properties of transmission, amplification, and filtering of signals are observed. For monodispersed chains, amplification peaks are described by functions of the control parameters. For sufficiently long monodispersed chains, signals at low frequencies (<span><math><mrow><mo>≈</mo><mtext>10</mtext><mspace></mspace><mtext>Hz</mtext></mrow></math></span>) are amplified. Inverse tapered chains exhibit similar behavior with shorter chain lengths, as do monodispersed chains modeled with forces between granules with nonlinearity greater than that of the Hertzian contact law. Potential applications are in the fields of geosciences and oceanography, life sciences, military applications, and environmental monitoring.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105160"},"PeriodicalIF":2.8,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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