International Journal of Non-Linear Mechanics最新文献

{"title":"Transitions to chaos, fractal basin boundaries, bursting and mixed modes oscillations in a cubic-quintic-septic duffing oscillator with four wells of equal depth","authors":"Pyrrhus Dior Landry Kamseu ,&nbsp;Hervé Simo ,&nbsp;Paul Woafo ,&nbsp;Jan Awrejcewicz","doi":"10.1016/j.ijnonlinmec.2025.105055","DOIUrl":"10.1016/j.ijnonlinmec.2025.105055","url":null,"abstract":"<div><div>This work analyses the various dynamical states that can be delivered by a sinusoidally excited cubic-quintic-septic Duffing oscillator with a potential having four wells of equal depth and three bumps of the same level using mathematical methods and numerical simulation based on the fourth order Runge-Kutta method. This special potential can be obtained in mechanics using magnets with appropriate magnetic inductions placed appropriately close to a line on which a magnetic body is moving. The frequency response curves are plotted for asymmetric oscillations around the stable equilibria. The transition routes to chaos are obtained through the bifurcation diagrams. Chaos appears through several routes. The signature of the four well potential on the phase portraits is clearly visible by the display of periodic or chaotic rounds near the equilibrium points. The horseshoes chaos is observed by plotting the attraction basins. The model shows four basins of attraction corresponding to each of the four wells which are regular for dynamics or fractal for chaos in the Melnikov sense. Bursting and mixed modes oscillations are obtained, some of which are chaotic. The justification of the appearance of bursting oscillations is conducted using the analysis of the equilibrium points in case of a slow variation of the excitation.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105055"},"PeriodicalIF":2.8,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143519599","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}

{"title":"3D finite element analysis of micromorphic hyperelastic structures considering finite deformations: Two-point formulation","authors":"F. Sadeghi,&nbsp;R. Ansari,&nbsp;A. Basti","doi":"10.1016/j.ijnonlinmec.2025.105054","DOIUrl":"10.1016/j.ijnonlinmec.2025.105054","url":null,"abstract":"<div><div>The purpose of this article is to introduce a novel finite element (FE) approach for investigating the large deformations of three-dimensional (3D) micromorphic hyperelastic continua that have an arbitrary geometry. The 3D micromorphic hyperelasticity formulation is initially presented in a general form. To facilitate the procedure of coding, the vector-matrix counterparts of the aforementioned relations are also provided, which can be conveniently employed in numerical methods. Afterwards, an FE approach is implemented to investigate the large deformations of micromorphic hyperelastic structures under static loading. This is achieved via the user element (UEL) subroutine utilized by the commercial ABAQUS software. Problems with complex domains can be solved using this FE approach. Solving some test problems, including bending of a beam, Cook's membrane under bending load, a cracked spherical shell under external pressure point load and a cracked cylindrical shell under stretching load, demonstrates the fast convergence rate, simple implementation, accuracy and efficiency of the method. In addition, the influences of internal length and scale-transition parameters and geometrical properties on the finite deformation of considered micromorphic hyperelastic structures are evaluated.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"174 ","pages":"Article 105054"},"PeriodicalIF":2.8,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510242","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}

{"title":"The corotational stability postulate: Positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity","authors":"Patrizio Neff ,&nbsp;Nina J. Husemann ,&nbsp;Aurélien S. Nguetcho Tchakoutio ,&nbsp;Sergey N. Korobeynikov ,&nbsp;Robert J. Martin","doi":"10.1016/j.ijnonlinmec.2025.105033","DOIUrl":"10.1016/j.ijnonlinmec.2025.105033","url":null,"abstract":"&lt;div&gt;&lt;div&gt;In isotropic nonlinear elasticity the corotational stability postulate (CSP) is the requirement that &lt;span&gt;&lt;span&gt;&lt;span&gt;(0.1)&lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;〈&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mrow&gt;&lt;mo&gt;[&lt;/mo&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;mo&gt;]&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;〉&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mo&gt;∀&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mtext&gt;Sym&lt;/mtext&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;∖&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;/mrow&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;where &lt;span&gt;&lt;math&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/span&gt; is &lt;strong&gt;any&lt;/strong&gt; corotational stress rate, &lt;span&gt;&lt;math&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is the Cauchy stress and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;sym&lt;/mo&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; is the Eulerian rate of deformation tensor where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̇&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;ξ&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; is the spatial velocity gradient. For &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̂&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;log&lt;/mo&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;≔&lt;/mo&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; it is equivalent almost everywhere to the monotonicity (TSTS-M&lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;) &lt;span&gt;&lt;span&gt;&lt;span&gt;(0.2)&lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;〈&lt;/mo&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̂&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;log&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̂&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;log&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;log&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mo&gt;log&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;〉&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mo&gt;∀&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mtext&gt;Sym&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;For hyperelasticity, (CSP) is in general independent of convexity of the mapping &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mo&gt;↦&lt;/mo&gt;&lt;mi&gt;W&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mo&gt;","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"174 ","pages":"Article 105033"},"PeriodicalIF":2.8,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear analysis and response identification of tristable energy harvesters under wind and base excitations","authors":"Xiaoqing Ma ,&nbsp;He Ma ,&nbsp;Shengxi Zhou","doi":"10.1016/j.ijnonlinmec.2025.105052","DOIUrl":"10.1016/j.ijnonlinmec.2025.105052","url":null,"abstract":"<div><div>The excellent working performance of nonlinear vortex-induced vibration (VIV) energy harvesters has been verified by researchers. However, in practical working environments, the harvester is not only affected by wind excitation but also by base excitation. Analyzing the impact mechanism of base excitation on the nonlinear harvesters' working performance is very important for designing wind energy harvesters with high energy harvesting efficiency and strong robustness. This paper designs a VIV energy harvester based on the tristable structure, and the frequency spectrum, Poincaré maps, and phase diagrams are adopted to characterize the harvester's output response and dynamic characteristics. It is found that base excitation can adjust the working performance of the harvester. In addition, the complex response characteristics (chaotic, periodic and quasi-periodic responses) of the harvester is accurately identified by the analysis method of “0–1” test, and the parameter analysis are carried out. Overall, this paper provides theoretical framework for analyzing tristable VIV energy harvesters subjected to complex excitations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105052"},"PeriodicalIF":2.8,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429759","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}

{"title":"Slowly decaying strain solitons in nonlinear viscoelastic waveguides","authors":"F.E. Garbuzov,&nbsp;Y.M. Beltukov","doi":"10.1016/j.ijnonlinmec.2025.105043","DOIUrl":"10.1016/j.ijnonlinmec.2025.105043","url":null,"abstract":"<div><div>This paper is devoted to the modeling of longitudinal strain waves in a rod composed of a nonlinear viscoelastic material characterized by frequency-dependent second- and third-order elastic constants. We demonstrate that long waves in such a material can be effectively described by a damped Boussinesq-type equation for the longitudinal strain, incorporating dissipation through retarded operators. Using the existing theory of solitary wave solutions in nearly integrable systems, we derive a slowly-decaying strain soliton solution to this equation. The derived soliton characteristics are shown to be in a good agreement with results from full 3D simulations. We demonstrate the importance of taking into account the frequency dependence of third-order elastic constants for the description of strain solitons.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105043"},"PeriodicalIF":2.8,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429758","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}

{"title":"Time-variant response computation of flexible multibody systems with imprecise random fields","authors":"Jingwei Meng,&nbsp;Yanfei Jin","doi":"10.1016/j.ijnonlinmec.2025.105053","DOIUrl":"10.1016/j.ijnonlinmec.2025.105053","url":null,"abstract":"<div><div>This paper proposes a new uncertain modelling and analysis method for flexible multibody systems with imprecise random field uncertainties. The standard random field is expanded to the imprecise random field model containing the behavior of imprecise randomness with bounded statistical moments more appropriately for real engineering problems. The imprecise random field is further discretized to independent standard Gaussian random variables by using the Karhunen-Loève expansion method. The flexible multibody system is modeled by using a unified mesh of the absolute node coordinate formula. Mathematical expressions and solution procedure based on the Polynomial chaos-Legendre metamodel are developed to solve the dynamic equations of systems involving imprecise random field. Two types of evaluation indexes are effectively established by constructing the second layer polynomial chaos expansion, namely interval mean value, interval variance, mean of the upper bound, variance of the lower bound. Finally, the effectiveness of the presented method is illustrated by two numerical examples of flexible multibody systems. Especially, for complicated multibody systems, it is necessary to calculate two uncertainty evaluation indexes to study the complete dynamic behavior.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105053"},"PeriodicalIF":2.8,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445183","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}

{"title":"Linear and non-linear thermosolutal convection in a fluid saturated anisotropic porous layer with internal heating and thermal non-equilibrium model","authors":"A.A. Altawallbeh ,&nbsp;M. Adi Sadiq ,&nbsp;Mohammed Z. Swalmeh ,&nbsp;Firas A. Alwawi ,&nbsp;S. Saraheen","doi":"10.1016/j.ijnonlinmec.2025.105031","DOIUrl":"10.1016/j.ijnonlinmec.2025.105031","url":null,"abstract":"<div><div>Influence of internal heating and anisotropy parameters on thermal non-equilibrium double diffusive convection in a couple stress fluid saturated anisotropic porous layer heated and salted from below is investigated analytically using linear and nonlinear stability theory. Normal mode technique is considered for linear theory, while the nonlinear theory is conducted based on minimal representation of truncated double Fourier series. The critical thermal Rayleigh number and wave number for stationary mode are obtained analytically using linear theory. Energy equation is represented by a two-field model, where the fluid and solid phase temperature fields are processed separately. Consequently, the thermal anisotropy parameter is considered for both fluid and solid phases. The onset criterion for stationary convection has derived analytically. The effect of anisotropy parameters, couple stress parameter, solute Rayleigh number, Vadasz number, Lewis number, inter-phase heat transfer coefficient, and internal heat parameter on the stationary and oscillatory convection, as well as heat and mass transfer are discussed and presented graphically. It is observed that increasing mechanical anisotropy parameter, thermal anisotropy parameter for fluid phase, and internal heat parameter destabilizes the system. On the other hand, increasing the values of couple stress parameter, inter-phase heat transfer coefficient, and concentration Rayleigh number are to stabilize the system. Thermal anisotropy parameter for solid phase has a stabilizing effect for stationary mode, while an opposite is observed for oscillatory one.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105031"},"PeriodicalIF":2.8,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429757","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}

{"title":"Influence of asymmetric behavior on the frequency response and stability of rate-independent hysteretic mechanical systems","authors":"Raffaele Capuano,&nbsp;Nicolò Vaiana,&nbsp;Luciano Rosati","doi":"10.1016/j.ijnonlinmec.2025.105038","DOIUrl":"10.1016/j.ijnonlinmec.2025.105038","url":null,"abstract":"<div><div>We analyze the nonlinear response of mechanical systems that exhibit complex asymmetric rate-independent hysteretic behavior by adopting the recently formulated differential Vaiana–Rosati enhanced model of hysteresis in conjunction with a continuation method based on Poincaré maps. The proposed procedure allows for the evaluation of periodic solutions and the study of stability of a wide range of mechanical systems. In particular, the presented numerical results reveal the significant impact of asymmetric hysteresis loops on the frequency responses and demonstrate the usefulness of the proposed framework to investigate the nonlinear dynamic behavior of complex hysteretic systems subjected to harmonic excitations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105038"},"PeriodicalIF":2.8,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-linear mechanics of geometrically imperfect graphene origami-enabled auxetic metamaterial third-order beam structures","authors":"Behrouz Karami,&nbsp;Mergen H. Ghayesh","doi":"10.1016/j.ijnonlinmec.2025.105047","DOIUrl":"10.1016/j.ijnonlinmec.2025.105047","url":null,"abstract":"<div><div>This paper investigates the non-linear mechanics of geometrically imperfect multilayered graphene origami-enabled auxetic metamaterial beams. The metamaterial beam is layer-wise composed of graphene origami-enabled auxetic metamaterials; both the auxetic and other properties are estimated using micromechanical models. Using a higher-order shear deformation theory, the beam is modelled as a continuous structure, accounting for the axial and transverse displacements, as well as the rotations. Large deflections are approximated via the von-Kármán geometric non-linearity and the coupled deformation equations are derived using an energy-work method. These coupled non-linear deformation equations are solved numerically using a generalised differential quadrature method. A finite element software, ANSYS, is used for a simplified version of the system (i.e., non-multilayered, non-metamaterial, geometrically perfect) to demonstrate the reliability of our methodology; also, the bending behaviour of simplified versions of the system is validated against literature. This study provides detailed discussions on how geometric imperfections, boundary conditions, graphene origami content and its distribution patterns, and folding degree influence the non-linear bending of metamaterial beams.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"172 ","pages":"Article 105047"},"PeriodicalIF":2.8,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Vibration reduction characteristics of elastic support dry friction dampers in a dual-rotor system under maneuvering flight","authors":"Guanwu Li ,&nbsp;Shuqian Cao ,&nbsp;Xu Ouyang ,&nbsp;Yuanhang Hou","doi":"10.1016/j.ijnonlinmec.2025.105041","DOIUrl":"10.1016/j.ijnonlinmec.2025.105041","url":null,"abstract":"<div><div>To further study the comprehensive vibration reduction performance of the elastic support dry friction damper, the FE model of dual-rotor system with elastic support dry friction damper under maneuvering flight is established, in which the derivation process of the beam element motion equation is simplified by the energy correspondence and the equivalent node load. The transient dynamic response is solved by <span><math><mrow><mtext>Newmark</mtext><mo>−</mo><mi>β</mi></mrow></math></span> and the trajectory tracking method. An evaluation index <span><math><mrow><msub><mi>D</mi><mrow><mi>R</mi><mi>M</mi><mi>S</mi></mrow></msub></mrow></math></span> for describing the overall vibration reduction effect of the rotor is proposed. The vibration reduction characteristics of the damper in the dual-rotor system as well as those subjected to the maneuvering load are investigated. The results show that: (1) When the motion equation of the disk is extended to the beam element, it is not necessary to substitute the first-order term of the energy about the generalized displacement or the generalized velocity into the Lagrange equation, and the external force term in the kinetic equation can be obtained through the equivalent node load. (2) The effect of the maneuvering load is mainly dominated by the offset of the rotor equilibrium position due to additional inertial force, especially when the concentrated mass occurs in the shaft section with a large support span. (3) Under the optimal installation position and normal force, the damper can reduce the maximum amplitude and overall vibration at the same time. (4) The additional stiffness of the damper can limit the offset of the equilibrium position at the elastic support under the maneuvering flight. The stick state can limit this offset to a minimum, and the optimal normal force of each damper can be obtained from the DC component of the waterfall diagram.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105041"},"PeriodicalIF":2.8,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454985","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}