{"title":"Mechanical characteristics of new mesh-type elastic plate under different temperatures and vehicle dynamics loads","authors":"Yanbo Bai, Zhenxing He, Penghao Li, Binqiang Li","doi":"10.1016/j.ijnonlinmec.2024.104854","DOIUrl":"10.1016/j.ijnonlinmec.2024.104854","url":null,"abstract":"<div><p>The dynamic characteristics of the elastic plate are affected by changes in ambient temperature. In this study, tensile tests of rubber materials at different temperatures were conducted, revealing that rubber materials exhibit significant nonlinearity and sensitivity at low temperatures. Finite element models of Groove Elastic Plate (GEP) and New Mesh-Type Elastic Plate (NMTEP) were established, incorporating the corresponding rubber material parameters to simulate temperature effects. The stress, deformation, stiffness, and damping characteristics of the two types of elastic plates were analyzed under varying temperature conditions. Finite element calculations show that NMTEP maintains better structural stability, lower static/dynamic stiffness, and a higher damping ratio at low temperatures. Additionally, dynamic calculations indicate that temperature variations significantly impact the track system's dynamic performance. The vibration and wheel-rail forces for NMTEP are significantly lower than those for GEP under all temperature conditions, suggesting that NMTEP is more conducive to vehicle safety and stability at low temperatures.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104854"},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141851298","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}
S.M. Kamga Fogue , L. Kana Kemgang , J. Kengne , J.C. Chedjou
{"title":"Complex dynamic behaviors in a small network of three ring coupled Rayleigh-Duffing oscillators: Theoretical study and circuit simulation","authors":"S.M. Kamga Fogue , L. Kana Kemgang , J. Kengne , J.C. Chedjou","doi":"10.1016/j.ijnonlinmec.2024.104853","DOIUrl":"10.1016/j.ijnonlinmec.2024.104853","url":null,"abstract":"<div><p>This work focuses on the dynamics of a small network of three ring-coupled unidirectional Rayleigh-Duffing oscillators. The equations governing the Rayleigh-Duffing oscillator, containing a cubic term, make this study a more interesting and complex case to analyze. Coupling is achieved by perturbing the amplitude of each oscillator with a signal proportional to the amplitude of the other. The sixth-order self-driven nonlinear system obtained after coupling is analyzed, and presents up to twenty seven equilibrium points. Amongst these equilibrium points, we determined which can present the Hopf bifurcation. Also, the effects of the coupling coefficients and damping coefficients are analyzed. It is shown that varying these different coefficients leads to the appearance of extremely complex dynamic phenomena such as: instability and bifurcations (i.e coexistence of bifurcation branches), coexistence of up to fifteen attractors (heterogeneous multistability) and eight spiral chaotic attractor. The investigation of the coupled system is carried out by using to both analytical and numerical tools such as Hopf bifurcation theorem, the phase portraits, bifurcation diagrams, Lyapunov exponent diagram, frequency spectrum, to name but a few. The Routh-Hurwitz criterion is also used to analyze the stability of equilibrium points. We compute basins of attraction to highlight different zones corresponding to coexisting attractors. The implementation of an analog circuit of coupled Rayleigh-Duffing oscillators has enabled us to confirm the analytical and numerical results.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104853"},"PeriodicalIF":2.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141844179","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":"Dynamics of the regenerative turning chatter with little mass eccentricity","authors":"An Wang, Baiyuan Zhou, Wuyin Jin","doi":"10.1016/j.ijnonlinmec.2024.104851","DOIUrl":"10.1016/j.ijnonlinmec.2024.104851","url":null,"abstract":"<div><p>The little mass eccentricity of the workpiece is taken into account when we develop a single-degree-of-freedom regenerative turning chatter dynamic model. This study provides a numerical and analytical analysis of regenerative turning chatter, with a focus on the little mass eccentricity of the workpiece. By using a numerical approach, it is examined how a little mass eccentricity affects the turning chatter bifurcation features in various initial states. It primarily concentrates on applying the multiple scale method to analyze the impact of little mass eccentricity and workpiece angular velocity on the primary resonance of turning chatter. According to the research presented in this paper, mass eccentricity cannot be disregarded throughout the turning process.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104851"},"PeriodicalIF":2.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141867590","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":"A general nonlinear single-track model for curved flat or banked road paths: Identification of the vehicle handling DNA","authors":"Stylianos Markolefas , Massimo Guiggiani , Stylianos Georgantzinos","doi":"10.1016/j.ijnonlinmec.2024.104850","DOIUrl":"10.1016/j.ijnonlinmec.2024.104850","url":null,"abstract":"<div><p>The goal of this work is the development of a general nonlinear single-track model for the cases of curved flat or banked road paths and the identification of the fundamental “handling bricks” or vehicle “DNA”, extending an existing theory for flat road tracks. The handling bricks are related to specific design parameters of the vehicle. It is confirmed (both theoretically and numerically), that two structurally different vehicles, with the same handling bricks, exhibit very similar or identical handling behavior. The current nonlinear model accepts general steering input, and arbitrary axle characteristic functions and can be used for general (flat or banked) road tracks. If necessary, various types of constraints can be easily enforced, linking the dynamic parameters of the model. For example, given a complex steering input, the vehicle's (center of gravity) velocity and (or) the vehicle heading, can be related to the direction of the banked road path. On the other hand, the road path can be given independently of the steering data to check the deviation between the intended and the obtained road paths. An implicit nonlinear Crank-Nicolson time marching technique (with additional internal iterations at each time step), has been developed and implemented for the set of (nonlinear) ordinary differential equations (in a homemade VBA framework). The numerical results, using magic formula-based axle characteristic functions, confirm the robustness of the model formulation.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104850"},"PeriodicalIF":2.8,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141847375","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":"Asymptotic behavior of Riemann solutions for the one-dimensional mean-field games in conservative form with the logarithmic coupling term","authors":"Meina Sun, Chenjia Wang","doi":"10.1016/j.ijnonlinmec.2024.104837","DOIUrl":"10.1016/j.ijnonlinmec.2024.104837","url":null,"abstract":"<div><p>Construction of Riemann solutions for a hyperbolic system in conservative form arising from the one-dimensional mean-field games with the quadratic Hamiltonian and the logarithmic coupling term are provided in detail. Moreover, the delta shock formation is concretely analyzed from the limit of double-shock-solution as well as the emergence of vacuum state is also specifically discussed from the limit of double-rarefaction-solution when the coupling coefficient drops to zero. Accordingly, the remarkable cavitation and concentration phenomena can be closely observed and explored. Additionally, the numerical experiments are also presented in correspondence to authenticate the theoretical analysis results.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104837"},"PeriodicalIF":2.8,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141689438","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":"Hydrodynamic behavior of inertial elongated microswimmers in a horizontal channel","authors":"Yuxiang Ying , Geng Guan , Jianzhong Lin","doi":"10.1016/j.ijnonlinmec.2024.104838","DOIUrl":"10.1016/j.ijnonlinmec.2024.104838","url":null,"abstract":"<div><p>In the current study, the lattice Boltzmann method was used to explore the motion of an elongated microswimmer in a horizontal channel with finite fluid inertia. By employing an extended squirmer rod model, the swimming velocity, hydrodynamic efficiency, and interaction with the channel wall of the capsule-shaped squirmer rod were simulated. It was found that the aspect ratio <em>α</em> and the swimming Reynolds number Re<sub><em>s</em></sub> of the squirmer rod significantly affect its swimming velocity and efficiency. Specifically, as the Reynolds number increases, the pusher rod's velocity increases, whereas the puller rod's velocity decreases. Moreover, compared with the puller rod, the pusher rod has a higher efficiency with the same power consumption. With the increase of the aspect ratio <em>α</em>, the velocity of the squirmer rod increases gradually, the power consumption of the pusher rod and the puller rod decreases gradually, and the efficiency increases gradually, showing the characteristics of lower energy consumption and higher efficiency. During the interaction of the squirmer rod with the wall, four distinct motion modes were identified, namely, steady linear motion, motion away from the wall, damped swinging motion, and wall-attraction oscillation. The emergence of these motion modes and their transitions could be associated with the pressure distribution formed between the squirmer rod and the wall. The results provide another perspective and theoretical basis for the design of bioinspired microswimming devices and microrobots, especially in medical applications such as precision drug delivery systems.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104838"},"PeriodicalIF":2.8,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141708191","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}
Lucas Mangas Araujo , Ivan Kryven , Laurence Brassart
{"title":"Micromechanical modelling of rubbery networks: The role of chain pre-stretch","authors":"Lucas Mangas Araujo , Ivan Kryven , Laurence Brassart","doi":"10.1016/j.ijnonlinmec.2024.104834","DOIUrl":"10.1016/j.ijnonlinmec.2024.104834","url":null,"abstract":"<div><p>Discrete Network (DN) models are a useful tool to investigate structure–property relationships in rubbery networks such as elastomers and hydrogels. In a DN model, polymer chains are represented by entropic springs connected at crosslinking points, and the partitioning of stretches among the chains is dictated by the condition of mechanical equilibrium at each crosslink. A key feature of these models is that springs have a zero natural length, and are therefore pre-stretched in the reference configuration. However, the role of chain pre-stretch distribution on the emerging mechanical properties has often been overlooked. In this work we investigate the elastic properties of DNs where the average chain pre-stretch, chain density and chain length distribution can be prescribed independently via a novel network generation algorithm. We show that increasing the average pre-stretch increases the network stiffness and decreases its extensibility limit. We also compare predictions of semi-analytical micromechanical models of rubber elasticity to DN predictions taken as reference. Deviations between analytical model and DN predictions are attributed to the combination of two factors: the loss of affinity at large strain and the initial pre-stretch distribution, which is not taken into account in analytical estimates. DN simulations further show that the assumption of one-to-one mapping between chain stretch and chain orientation on which microsphere models rely is not satisfied.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104834"},"PeriodicalIF":2.8,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020746224001999/pdfft?md5=50d4d92402d2317c7e2c48653815b737&pid=1-s2.0-S0020746224001999-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141714742","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":"A modified generalized harmonic function perturbation method and its application in analyzing generalized Duffing–Harmonic–Rayleigh–Liénard oscillator","authors":"Zhenbo Li , Jin Cai , Linxia Hou","doi":"10.1016/j.ijnonlinmec.2024.104832","DOIUrl":"10.1016/j.ijnonlinmec.2024.104832","url":null,"abstract":"<div><p>A modified generalized harmonic function perturbation method is proposed in this paper. Compared with the classical version of this method, the modified version can execute its procedures pure symbolically without the need to assign any system parameters even for some complicated nonlinear oscillators. This means that the relations between amplitude of limit cycles and system parameters can be derived analytically from the proposed method. Meanwhile, the analytical expression of characteristic quantity of limit cycles can be also obtained. Via these analytical expressions, the evolutional process of limit cycles can be studied quantitatively in amplitude domain. It demonstrates the entire live period of each limit cycle from its generation to bifurcation to destination. To show the feasibility of the proposed method, a complicated oscillator named generalized Duffing–Harmonic–Rayleigh–Liénard oscillator is investigated in this paper. First, the two analytical expressions mentioned above are derived and the global evolution of its limit cycles are analyzed quantitatively. Second, the critical value of homoclinic and heteroclinic bifurcation parameters are also predicted via this two analytical expressions. Moreover, the analytical approximate solutions of both limit cycles and homo-heteroclinic orbits are calculated. To prove the accuracy, all the above results obtained via the proposed methods are confirmed by the Runge–Kutta method, which show a good accordance. Therefore, the proposed method can be considered as an effective modification for a classical perturbation method. It provides another feasible and reliable analytical quantitative method for analyzing global dynamics of strongly nonlinear oscillators.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104832"},"PeriodicalIF":2.8,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141702310","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":"Physical forces drive C. elegans embryonic deformation","authors":"Ting Wang , Martine Ben Amar","doi":"10.1016/j.ijnonlinmec.2024.104833","DOIUrl":"10.1016/j.ijnonlinmec.2024.104833","url":null,"abstract":"<div><p>The abnormal development of embryos is closely linked to abnormal cell division and elongation, but the underlying mechanism remains to be elucidated. The embryonic development of <em>C elegans</em> embryo is different because it occurs without cell proliferation or cell rearrangement. Here, we focus on a spectacular 4-fold elongation that is achieved approximately 3 h before the egg shell hatches and results from active filament networks. The body shape is represented by an inhomogeneous cylinder, which allows us to assess the active stresses induced by the actomyosin network located in the cortex and the muscles in ventral position near the epidermis. By considering the specific embryo configuration, we can quantitatively obtain the contractile forces induced by actomyosin filaments and muscles for a bending torsion event with defined curvature. We find that the active stress induced by actomyosin molecular motors or muscles increases with elongation and bending curvature, while also varying with radius. Both elongation and torsional deformation contribute to increased moment magnitudes that explain the dynamics of the embryo in the egg. Our results highlight the complex interplay between biomechanical factors in modulating embryonic deformation.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104833"},"PeriodicalIF":2.8,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141867632","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}
Amir Hossein Tavakoli , Taha Goudarzi , Mohammad Javad Ashrafi
{"title":"Effective response and microstructure evolution for shape memory alloy laminated composites","authors":"Amir Hossein Tavakoli , Taha Goudarzi , Mohammad Javad Ashrafi","doi":"10.1016/j.ijnonlinmec.2024.104830","DOIUrl":"10.1016/j.ijnonlinmec.2024.104830","url":null,"abstract":"<div><p>A model for the macroscopic mechanical behavior of rank-1 laminates including two shape memory alloy (SMA) phases is presented. The model expresses the general behavior of the composite with phases undergoing rate-independent elastic and inelastic deformations. Homogenization techniques (including the rank-1 laminate model) are used to establish the effective behavior of the SMA laminated composite (SLC) based on the information about the mechanical response of the individual phases and their volume concentrations. A stress-control algorithm is put forward to implement the model. With the aid of the stress-control algorithm, an implicit expression for the effective tangent stiffness and an evolution equation for the effective inelastic strain are derived. Results are compared with the outcomes of an FE-based computational homogenization and a very good agreement is seen. By using a constitutive model with internal variables for the dense SMA, the overall response of the SLC under different mechanical loadings is evaluated. The effective response of the SLC for various volume concentrations of the phases is assessed and exclusive comparisons are illustrated. Furthermore, the influence of different temperatures on the effective superelastic behavior of the SLCs is studied. The findings have implications for the analysis and the design of more complex shape-memory-alloy laminated composites for high-end applications.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104830"},"PeriodicalIF":2.8,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141700293","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}