International Journal of Non-Linear Mechanics最新文献

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A non-linear thermoelastic constitutive model for isotropic materials based on Gibbs free energy 基于吉布斯自由能的各向同性材料非线性热弹性本构模型
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-10-04 DOI: 10.1016/j.ijnonlinmec.2025.105274
Edgár Bertóti
{"title":"A non-linear thermoelastic constitutive model for isotropic materials based on Gibbs free energy","authors":"Edgár Bertóti","doi":"10.1016/j.ijnonlinmec.2025.105274","DOIUrl":"10.1016/j.ijnonlinmec.2025.105274","url":null,"abstract":"<div><div>This paper presents a Gibbs free energy-based constitutive framework for large thermoelastic deformations of isotropic materials. The independent constitutive variables are the Kirchhoff stress tensor and the temperature, while the dependent variables are the spatial logarithmic Hencky strain tensor and the entropy. The approach relies on the multiplicative decomposition of the deformation gradient, which naturally leads to an additive decomposition of the Hencky strain into uncoupled deviatoric, volumetric, and thermal parts. The Gibbs potential is likewise additively decomposed into elastic and thermal parts. The elastic part of the Gibbs free energy per unit intermediate volume can be taken as any of the complementary energy potentials developed for isothermal, non-linear elastic deformations, with the additional assumption that the material coefficients are temperature-dependent. The thermal part of the Gibbs free energy depends on the spherical component of the Kirchhoff stress tensor and the temperature. General forms of the constitutive equations for the Hencky strain and entropy are derived for compressible materials. In the case of incompressible materials, the inherently implicit constitutive model yields explicit relations between the Hencky strain and Cauchy stress components. Special forms of the thermoelastic constitutive equations are derived and investigated for two cases: (i) a modified Hencky-type model suitable for moderately large strains, and (ii) a power-law form of the elastic Gibbs free energy expressed in terms of stress invariants. The predictive capabilities of these models, particularly with respect to the thermoelastic inversion effect and structural heating in rubber-like materials, are evaluated through parameter fitting to experimental data. Comparisons are also made with predictions from a thermoelastic extension of Ogden’s constitutive model.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"181 ","pages":"Article 105274"},"PeriodicalIF":3.2,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242573","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 multiple scales approach to analyze the nonlinear dynamics of the high-temperature superconducting magnetic levitation train 高温超导磁悬浮列车非线性动力学分析的多尺度方法
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-10-03 DOI: 10.1016/j.ijnonlinmec.2025.105268
Giovanni Migliaccio , Francesco D’Annibale , Haitao Li , Zigang Deng , Francesco dell’Isola , Gino D’Ovidio
{"title":"A multiple scales approach to analyze the nonlinear dynamics of the high-temperature superconducting magnetic levitation train","authors":"Giovanni Migliaccio ,&nbsp;Francesco D’Annibale ,&nbsp;Haitao Li ,&nbsp;Zigang Deng ,&nbsp;Francesco dell’Isola ,&nbsp;Gino D’Ovidio","doi":"10.1016/j.ijnonlinmec.2025.105268","DOIUrl":"10.1016/j.ijnonlinmec.2025.105268","url":null,"abstract":"<div><div>This paper investigates the nonlinear dynamics of the High-Temperature Superconducting (HTS) pinning magnetic levitation (MAGLEV) transit system under development at the University of L’Aquila. Due to its inherently weak damping characteristics, the MAGLEV system is particularly susceptible to external disturbances, such as mechanical or magnetic irregularities along the guideway. To analytically characterize its complex nonlinear dynamics, a simplified nonlinear single-degree-of-freedom model is developed, and the Multiple Scales Method (MSM) is employed as a solution technique. This approach enables the evaluation of how key design parameters influence the system’s dynamic response. The analysis highlights the emergence of both primary and secondary resonances, which arise depending on system parameters and the nonlinear nature of the levitation force, potentially impacting not only performance but also stability. Finally, the analytical findings are validated against benchmark solutions obtained through direct numerical integration of the system’s nonlinear equation of motion.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105268"},"PeriodicalIF":3.2,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145266068","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
Tension–compression asymmetry in viscoelastic mechanical behavior and micro–mesoscale coupling mechanisms of composite propellant 复合推进剂粘弹性力学行为的拉压不对称性及微-介尺度耦合机理
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-30 DOI: 10.1016/j.ijnonlinmec.2025.105271
Xu Zhang , Jiangtao Wang , Xiangyang Liu , Yuan Zhang , Ningfei Wang , Xiao Hou
{"title":"Tension–compression asymmetry in viscoelastic mechanical behavior and micro–mesoscale coupling mechanisms of composite propellant","authors":"Xu Zhang ,&nbsp;Jiangtao Wang ,&nbsp;Xiangyang Liu ,&nbsp;Yuan Zhang ,&nbsp;Ningfei Wang ,&nbsp;Xiao Hou","doi":"10.1016/j.ijnonlinmec.2025.105271","DOIUrl":"10.1016/j.ijnonlinmec.2025.105271","url":null,"abstract":"<div><div>Solid propellants are particle-filled polymeric materials exhibiting nonlinear viscoelastic properties. In this study, viscoelastic compression tests are conducted on solid propellants. The compression nominal stress–strain curves exhibit a J shaped. Relaxation time and viscous stress increase with increasing deformation. The Tension–compression asymmetry in viscoelastic behavior is analyzed. Compared with tension, compression induces higher stress, longer relaxation time, and a larger viscous part. The mechanisms of nonlinear relaxation and Tension–compression asymmetry are analyzed through free volume theory and mesoscale simulations. At the microscopic scale, the limited free volume hinders the rearrangement of molecular networks and chain segments under large deformations. Less free volume and more coiled chain segments under compression lead to higher stress and longer relaxation time. At the mesoscopic scale, the patterns of interface debonding and damage evolution differ under tension and compression. The strength disparity between interfaces and particles leads to distinct tension and compression modulus. The micro–mesoscale coupling mechanisms result in Tension–compression asymmetry in the macroscopic viscoelastic mechanical behavior. The methodology and findings provide insights for multiscale investigations of other particle-filled composites.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105271"},"PeriodicalIF":3.2,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220260","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
Exact solutions and wave interactions for one-dimensional two-phase thin film model of a perfectly soluble antisurfactant 完全可溶抗表面活性剂一维两相薄膜模型的精确解和波相互作用
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-22 DOI: 10.1016/j.ijnonlinmec.2025.105262
Hari Om Jangid , Subhankar Sil , T. Raja Sekhar
{"title":"Exact solutions and wave interactions for one-dimensional two-phase thin film model of a perfectly soluble antisurfactant","authors":"Hari Om Jangid ,&nbsp;Subhankar Sil ,&nbsp;T. Raja Sekhar","doi":"10.1016/j.ijnonlinmec.2025.105262","DOIUrl":"10.1016/j.ijnonlinmec.2025.105262","url":null,"abstract":"<div><div>In this article, we obtain some exact solutions to a new hyperbolic system of quasilinear partial differential equations which describes the two-phase thin film model of a perfectly soluble antisurfactant by using symmetry analysis. Lie’s method provides a group of transformations for which the set of solutions remains invariant and through the help of push-forward actions, optimal classes are constructed. The aid of optimal classes facilitates exact solutions of the system. Additionally, we compute some traveling wave solutions of the governing system with the help of special transformations. For each phase, the evolution of the film thickness and concentration gradient is characterized by geometric representation of the solutions. The weak discontinuity behavior across a solution curve is analyzed as time progresses. In addition, the propagation of characteristic shock and the corresponding collision between the characteristic shock and the weak discontinuity are discussed. The reflected and transmitted wave amplitudes, along with the jump in shock acceleration influenced by the incident wave after interaction, are computed.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105262"},"PeriodicalIF":3.2,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158543","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
Dynamical transitions between periodicity, quasiperiodicity, and chaos drive performance changes in a hybrid galloping energy harvester 周期性、准周期性和混沌之间的动态转换驱动混合驰骋能量采集器的性能变化
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-22 DOI: 10.1016/j.ijnonlinmec.2025.105267
Tousheng Huang , Zihan Gu , Zitong Wang , Haotian Yang , Zhaoxiong Yu , Lin Sun , Jingyu Li , Hengshan Xu
{"title":"Dynamical transitions between periodicity, quasiperiodicity, and chaos drive performance changes in a hybrid galloping energy harvester","authors":"Tousheng Huang ,&nbsp;Zihan Gu ,&nbsp;Zitong Wang ,&nbsp;Haotian Yang ,&nbsp;Zhaoxiong Yu ,&nbsp;Lin Sun ,&nbsp;Jingyu Li ,&nbsp;Hengshan Xu","doi":"10.1016/j.ijnonlinmec.2025.105267","DOIUrl":"10.1016/j.ijnonlinmec.2025.105267","url":null,"abstract":"<div><div>This research investigates the relationship between complex dynamical transitions and average output power (AOP) in a hybrid galloping energy harvester (HGEH) featuring a vertically aligned D-shaped bluff body. The model of the HGEH is developed using Hamilton's principle. Based on the derived equations, the nonlinear dynamical behaviors and AOP variations are systematically analyzed with respect to four parameters associated with base excitation and wind energy. Nine distinct patterns of dynamical transitions between periodicity, quasiperiodicity, and chaos are identified, playing a crucial role in inducing jumps in periodic frequencies. Between two transitions, the HGEH remains in periodic vibration with a stable frequency over a broad parameter range, determining an upper limit for AOP growth. In most cases, the occurrence of quasiperiodic and/or chaotic vibrations in transitional regions causes abrupt, often opposing shifts or zigzags in the AOP curve. As a result, while the overall trend of the AOP curve shows a rise with varying parameters, the emergence of dynamical transitions makes the curve go like “resting between climbing stairs”. Furthermore, when wind speed varies, the maximum AOP is frequently achieved at peak points corresponding to period-3 vibrations. This study may provide valuable insights for optimizing HGEHs with D-shaped bluff bodies to enhance broadband concurrent energy harvesting.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105267"},"PeriodicalIF":3.2,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158542","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
Design and experimentation of radial magnetic field vibration energy harvester based on magnetic levitation 基于磁悬浮的径向磁场振动能量采集器的设计与实验
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-20 DOI: 10.1016/j.ijnonlinmec.2025.105266
Xin-Yao Wang , Tian-Chen Yuan , Zhe-hui Li , Jian Yang , Ruigang Song , Li-qun Chen
{"title":"Design and experimentation of radial magnetic field vibration energy harvester based on magnetic levitation","authors":"Xin-Yao Wang ,&nbsp;Tian-Chen Yuan ,&nbsp;Zhe-hui Li ,&nbsp;Jian Yang ,&nbsp;Ruigang Song ,&nbsp;Li-qun Chen","doi":"10.1016/j.ijnonlinmec.2025.105266","DOIUrl":"10.1016/j.ijnonlinmec.2025.105266","url":null,"abstract":"<div><div>Electromagnetic vibration energy harvesters (EVEHs) present a sustainable power solution for sensor networks in the Internet of Things. Most of the EVEHs commonly adopt the axial magnetization structure. Notably, when the magnet moves to the coil's center, the axially radiated magnetic flux lines become nearly parallel to the coil, reducing flux variation and weakening the induced current. Maintaining an effective operating area requires a significant gap between the magnet and coil, which diminishes magnetic field strength and limits device compactness. To address the problem, a radially magnetized electromechanical energy conversion unit is proposed. The magnetic flux lines radially radiated by the magnet remain highly orthogonal to the surrounding coils, increasing flux variation and enhancing electromagnetic induction. The finite element method is used to optimize the coil parameters of the radial magnetized structure, and the induced current is significantly higher than that of the axial magnetized structure. We developed a single-degree-of-freedom (SDoF-MLVEH) and a two-degree-of-freedom (TDoF-MLVEH) magnetic-levitation vibration energy harvester based on the radial magnetization structure. Two types of MLVEHs are validated using a semi-analytical approach based on harmonic balance. Simulations show that TDoF-MLVEH collects about six times more energy than SDoF-MLVEH under rail vehicle axle box excitation. Experimental results verify that the TDoF-MLVEH maintains stable output within the 0.5–1.5 g excitation range, achieving a peak power of 48.76 mW. Compared to the SDoF-MLVEH, the TDoF-MLVEH attains 66.10 % and 88.75 % higher peak power at the first and second resonant frequencies, respectively.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105266"},"PeriodicalIF":3.2,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158545","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
Ring body problem dynamics under the albedo effect 反照率作用下的环体动力学问题
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-19 DOI: 10.1016/j.ijnonlinmec.2025.105265
Manoj Kumar , Ashok Kumar Pal , Ravi Kumar Verma , Sergey Ershkov , Elbaz I. Abouelmagd
{"title":"Ring body problem dynamics under the albedo effect","authors":"Manoj Kumar ,&nbsp;Ashok Kumar Pal ,&nbsp;Ravi Kumar Verma ,&nbsp;Sergey Ershkov ,&nbsp;Elbaz I. Abouelmagd","doi":"10.1016/j.ijnonlinmec.2025.105265","DOIUrl":"10.1016/j.ijnonlinmec.2025.105265","url":null,"abstract":"<div><div>This study explores the existence and characteristics of libration points, as well as their linear stability, in the ring-body problem while accounting for additional perturbations from radiation pressure and the albedo effect. Our analysis reveals that even minor variations in the number of peripheral primaries, can lead to significant changes in the system’s dynamics. The mass parameter <span><math><mi>β</mi></math></span> plays a crucial role in determining the regions associated with libration points. To deepen our understanding, we compare the results of our proposed model with those of the classical <span><math><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span> ring-body problem. This comparison highlights substantial differences in the locations of the libration points and their respective linear stability. Notably, our findings indicate that the libration point <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, positioned at the center alongside the peripheral primary <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, remains unaffected by the considered perturbations. However, with a few exceptions, most identified libration points exhibit unstable behavior. We emphasize that the conducted study is crucial in astrophysics and orbital mechanics, as it helps model planetary ring systems (such as Saturn’s rings), protoplanetary disks, and even certain galactic formations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105265"},"PeriodicalIF":3.2,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158544","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
Research on vehicle performance improvement based on nonlinear bionic suspension with inerter and its control strategies 基于非线性仿生悬架的车辆性能改进及其控制策略研究
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-16 DOI: 10.1016/j.ijnonlinmec.2025.105263
Yong Song , Xiangming Zhan , Zhanlong Li , Yuan Qin , Yao Wang , Yuyuan Mou
{"title":"Research on vehicle performance improvement based on nonlinear bionic suspension with inerter and its control strategies","authors":"Yong Song ,&nbsp;Xiangming Zhan ,&nbsp;Zhanlong Li ,&nbsp;Yuan Qin ,&nbsp;Yao Wang ,&nbsp;Yuyuan Mou","doi":"10.1016/j.ijnonlinmec.2025.105263","DOIUrl":"10.1016/j.ijnonlinmec.2025.105263","url":null,"abstract":"<div><div>Research on improving whole vehicle performance by enhancing suspension performance has much attention all the time. It is found that inerter based on on-off control strategy combined with bionic nonlinear structure can improve the suspension performance in previous study. Due to this, a whole vehicle performance enhancement method is proposed, that is, a suspension with inerter and bionic nonlinear stiffness characteristics (IBS) is introduced into the whole vehicle, and combined with three whole vehicle layout schemes (Scheme-I, Scheme-II and Scheme-III) of the IBS, the continuous relative-velocity relative-acceleration (CR) control strategy and the continuous absolute-velocity relative-acceleration (CA) control strategy are designed to control the IBS to enhance the whole vehicle performance efficiently. The whole vehicle dynamic models of the proposed schemes are established, the whole vehicle performance for the IBS with passive inerter and semi-active inerter are investigated, and the comprehensive evaluation index is constructed to comprehensively evaluate the whole vehicle performance of the IBS with semi-active inerter. The results show that the IBS with passive inerter can only partially improve the whole vehicle performance. The IBS with semi-active inerter can significantly enhance the whole vehicle ride comfort and handling stability, and eliminate the negative effects of the IBS with passive inerter. Comparatively speaking, the Scheme-II under the CR control strategy has the best whole vehicle performance improvement effect, and it has excellent road and speed adaptability under different working conditions. The above results verify the correctness of the proposed idea, the feasibility of the schemes, and the effectiveness of the control strategies.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105263"},"PeriodicalIF":3.2,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109811","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
Periodic and chaotic responses of flexible bistable energy harvesters in rotational environment 旋转环境下柔性双稳态能量采集器的周期和混沌响应
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-15 DOI: 10.1016/j.ijnonlinmec.2025.105264
Suo Wang , He Ma , Zhiyuan Li , Houfan Du , Shengxi Zhou
{"title":"Periodic and chaotic responses of flexible bistable energy harvesters in rotational environment","authors":"Suo Wang ,&nbsp;He Ma ,&nbsp;Zhiyuan Li ,&nbsp;Houfan Du ,&nbsp;Shengxi Zhou","doi":"10.1016/j.ijnonlinmec.2025.105264","DOIUrl":"10.1016/j.ijnonlinmec.2025.105264","url":null,"abstract":"<div><div>For the dual-beam coupled flexible bistable energy harvester (FBEH) with time-varying potential wells, accurately fitting the magnetic forces in two directions simultaneously using polynomials is difficult, hindering the derivation of the analytical solutions. Therefore, in this study, a semi-analytical method that combines the incremental harmonic balance method (IHBM) and the arc-length method is employed to determine the periodic solutions, with stability assessed by the Floquet theory. Comprehensive analyses of the dynamic responses are conducted, encompassing jump phenomenon, multiple solutions, and bifurcation characteristics. The obtained semi-analytical solutions demonstrate an excellent approximation for the system's periodic responses. Subsequently, the chaotic responses are analyzed via the Lyapunov exponents, and the effect of nonlinear stiffness was investigated. The nonlinear dynamic behaviors and characteristics of the FBEH demonstrate the consistent dynamic response patterns of the FBEH under different initial magnetic spacings, generally following the sequence of periodic intrawell oscillations, chaotic interwell oscillations, multi-orbit asymmetric periodic responses, chaotic responses and symmetric periodic responses. The initial magnetic spacing and nonlinear stiffness coefficients significantly influenced the jump frequency and response amplitude, whereas their impact on the dynamic response patterns was relatively minor. Overall, this study enhances the theoretical understanding of the FBEH in rotational environments by providing valuable insights and references for the design of such complex nonlinear electromechanical coupling systems.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105264"},"PeriodicalIF":3.2,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145106000","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
Dynamic analysis and correlation propagation of the multibody system considering correlated interval parameters 考虑相关区间参数的多体系统动态分析及相关传播
IF 3.2 3区 工程技术
International Journal of Non-Linear Mechanics Pub Date : 2025-09-13 DOI: 10.1016/j.ijnonlinmec.2025.105261
Xin Jiang, Qiang Zhang, Wenhan Cao, Xuqiang Dou
{"title":"Dynamic analysis and correlation propagation of the multibody system considering correlated interval parameters","authors":"Xin Jiang,&nbsp;Qiang Zhang,&nbsp;Wenhan Cao,&nbsp;Xuqiang Dou","doi":"10.1016/j.ijnonlinmec.2025.105261","DOIUrl":"10.1016/j.ijnonlinmec.2025.105261","url":null,"abstract":"<div><div>Interval uncertainty quantification for multibody systems has gained increasing attention due to complex requirements in the dynamic analysis of virtual prototypes. It is important to carefully consider the correlation between input interval parameters to avoid overestimating predictions, which can happen in traditional interval analysis that assumes parameters are mutually independent. This study introduced a new method that propagates multiple interval parameters with large uncertainty levels in multibody systems. The method combines local mean decomposition and bivariate function decomposition with Chebyshev polynomials to create a coupled surrogate model. This model can envelope the examined interval response and calculate response correlation coefficients. Numerical examples are provided to demonstrate the effectiveness of the method. The results showed that the proposed approach efficiently handles multiple interval parameters with significant uncertainty in the dynamic analysis of a multibody system.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"180 ","pages":"Article 105261"},"PeriodicalIF":3.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145061106","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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