{"title":"Experimental and numerical investigations into tensile and compressive behavior of radial countersunk screw lap joints","authors":"Shuo Zhang, Ning Guo, Chao Xu","doi":"10.1016/j.ijnonlinmec.2025.105159","DOIUrl":"10.1016/j.ijnonlinmec.2025.105159","url":null,"abstract":"<div><div>Radial countersunk screw lap joints are widely employed in aerospace vehicles to connect various cabin sections. These joints experience complex flight loads, leading to nonlinear deformation and strain behaviors due to the contact and friction mechanisms at the joint interfaces. To gain a deeper understanding of the nonlinear mechanical behavior of such joints, this study conducts static tension and compression tests, complemented by nonlinear finite element simulations. Initially, typical radial countersunk screw lap joint specimens are fabricated and tested under tension and compression loads using an MTS universal testing machine. A preliminary analysis of the load-deformation relationship is performed based on the experimental data. Subsequently, a numerical model is developed using the nonlinear finite element method. This model is validated against experimental results and utilized to predict the evolution of contact behavior and the distribution of stress/strain within the specimens. Furthermore, a parametric analysis is conducted to investigate the influence of key design parameters on the joint's mechanical behavior. The findings indicate that the nonlinear mechanical behavior primarily stems from changes in the contact state between different components, while the differences in tensile and compressive behaviors are driven by variations in contact stiffness. Additionally, the size of the screw-hole clearance and assembly clearance significantly impacts the slip behavior observed in the load-displacement curves. Variations in screw preload and lap length have an important effect on the initial stiffness of the joint. These insights provide a foundation for optimizing the design and performance of radial countersunk screw lap joints for aerospace applications.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105159"},"PeriodicalIF":2.8,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108242","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":"Symmetry structure of a Riccati equation appearing in penetration mechanics","authors":"Scott D. Ramsey, Roy S. Baty","doi":"10.1016/j.ijnonlinmec.2025.105161","DOIUrl":"10.1016/j.ijnonlinmec.2025.105161","url":null,"abstract":"<div><div>In the design of projectile penetration experiments a matter of considerable interest is scaling: that is, the potential relevance of small-scale experiments to their full-scale counterparts, in a manner analogous to that most often encountered in the context of fluid mechanics. From the theoretical standpoint, phenomena associated with scaling and scalability can be assessed using the well-established tools of dimensional analysis and the Buckingham-Pi Theorem. However, the familiar precepts of dimensional analysis are themselves a specific manifestation of the broader group invariance properties or symmetries of a mathematical model. This work explores these notions – that is, dimensional analysis, the conditions for realizing complete similarity, and any additional symmetry structures – in the context of a Riccati differential equation appearing in the context of penetration mechanics. The aim of the investigation is twofold: 1) to complement existing empirical considerations with a concrete theoretical basis, and 2) to provide a deeper theoretical understanding of the projectile penetration model and its many implications.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105161"},"PeriodicalIF":2.8,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144263745","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":"High performance algorithm framework for solving nonlinear PDEs by separable neural operators with wavelet methods","authors":"Yu Lu, Ling Hong, Jun Jiang","doi":"10.1016/j.ijnonlinmec.2025.105158","DOIUrl":"10.1016/j.ijnonlinmec.2025.105158","url":null,"abstract":"<div><div>This paper proposes an algorithm framework combining deep learning with wavelet methods, aiming to enhance the accuracy and the efficiency for solving nonlinear partial differential equations (PDEs). Specifically, through introducing separable neural operator network and utilizing wavelet methods to distinguish between the low-frequency and the high-frequency information of PDEs, a multi-fidelity dataset is first constructed and a layered learning strategy is then implemented. Comparing with the traditional finite element and finite difference methods, the wavelet methods can offer faster generation of datasets with higher accuracy, while can also distinguish between the high-frequency and the low-frequency information. Therefore, this approach effectively improves the generation speed and the prediction accuracy of datasets for training. The superior performance of the proposed method for quick and accurate prediction of the nonlinear responses is demonstrated by several applications to Burgers equation and Polydisperse fuel combustion equation.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105158"},"PeriodicalIF":2.8,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144307957","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":"Vibrational resonance in nearly elastic vibro-impact oscillator driven by fast harmonic excitation","authors":"Somnath Roy , Sayan Gupta","doi":"10.1016/j.ijnonlinmec.2025.105142","DOIUrl":"10.1016/j.ijnonlinmec.2025.105142","url":null,"abstract":"<div><div>This study focuses on extending the concept of weak signal enhancement from dynamical systems based on the <em>vibrational resonance</em> of nonlinear systems, to non-smooth systems close to the elastic limit. A Van der Pol- Duffing oscillator with a one-sided barrier, subjected to harmonic excitations, has been considered as an archetypical low order model, whose response is weak. It is shown that the system response can be significantly enhanced by applying an additional harmonic excitation but with much higher frequencies. The reasons for the underlying physics are investigated analytically using multiple-scale analysis and the Blekhman perturbation approach (direct partition motion). The analytical predictions are qualitatively validated using numerical simulations. This approach yields valuable insights into the intricate interplay between fast and slow excitations in non-smooth systems.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105142"},"PeriodicalIF":2.8,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144088948","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 novel nonlinear dynamics solver for simulating train traversing over a railway track: Unilateral contact theory approach","authors":"Muskaan Sethi, Arnab Banerjee, Bappaditya Manna","doi":"10.1016/j.ijnonlinmec.2025.105144","DOIUrl":"10.1016/j.ijnonlinmec.2025.105144","url":null,"abstract":"<div><div>This manuscript puts forward a novel nonlinear dynamics solving algorithm to simulate the motion of a multibody rail coach vehicle over a railway track. The proposed solver is based on unilateral contact theory, which is capable of modeling discrete multiple contact points between the wheels and rail. Moreover, linear complementary conditions are applied to predict the normal gaps between the wheels and rail at each time step, along with the frictional force acting at the wheel–rail interface. Using the proposed solver, the train–track dynamics has been thoroughly investigated in this manuscript. The results through the proposed solver are studied for contact-point identification between the wheels and rail, along with the dynamic behavior of the track components for varying stiffness of track layers and velocity of the train. The proposed solver proves to be capable enough to predict the contact dynamics for high speed railways.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105144"},"PeriodicalIF":2.8,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144088946","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":"Shear-imposed thin film flow with variable fluid properties","authors":"Souradip Chattopadhyay","doi":"10.1016/j.ijnonlinmec.2025.105140","DOIUrl":"10.1016/j.ijnonlinmec.2025.105140","url":null,"abstract":"<div><div>This study focuses on the stability of a thin liquid film on an inclined plane under the influence of external shear and thermal effects. The Navier–Stokes equation, coupled with the energy equation, is employed, considering temperature-dependent fluid properties that vary linearly with small temperature changes. The instability mechanisms are examined for shear acting in the same or opposite direction as the fluid flow, with temperature-dependent fluid properties. A fully nonlinear free surface evolution equation for the film thickness is derived to describe interfacial dynamics. Normal-mode analysis in linear stability analysis is conducted to explore the impact of temperature-dependent fluid properties and imposed shear direction on flow dynamics. Additionally, weakly nonlinear stability analysis is performed to identify supercritical or subcritical regions beyond the linear regime. Numerical simulations using the spectral method are carried out, confirming the theoretical model’s predictions of instability thresholds. In addition to the inclined plane configuration, the study also considers a thin liquid layer resting on a planar heated substrate. In this setting, where gravitational effects are negligible, rupture phenomena induced by van der Waals forces are analyzed. An evolution equation for the film profile is derived using lubrication theory, and numerical simulations reveal that externally applied shear can counteract the accelerated rupture driven by temperature dependent fluid properties.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105140"},"PeriodicalIF":2.8,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144088947","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 stochastic differential calculus for systems with non-Gaussian delta-correlated parametric loads","authors":"Giovanni Falsone","doi":"10.1016/j.ijnonlinmec.2025.105143","DOIUrl":"10.1016/j.ijnonlinmec.2025.105143","url":null,"abstract":"<div><div>In the present work, an approach of differential calculus with parametric delta-correlated loads is presented again, after its first publication in 1993. Moreover, a brief review of the papers in literature, that had treated and used the Non-Gaussian Stochastic Differential Calculus (NGSDC), that can be considered as the generalization of what happens in the case of Gaussian white noise parametric actions. In the Gaussian case, two different stochastic differential approaches are in the literature, the Ito stochastic differential calculus (ISDC) and the Stratonovich one (SSDC). In the case of parametric external actions, they give different results and some correction terms, the so-called Wong-Zakai ones, must be considered for making uniform the results, representing the conversion adding terms in the transformation from ISDC to SSDC. When parametric actions are non-normal delta-correlated processes, the NGSDC has to be applied. It gives different results respect to both ISDC and SSDC. In any case, if the NGSDC is interpretated as made in the Di Paola-Falsone method (DFM), the expression of the correction terms to be used, in the conversion from ISDC to NGSDC, are expressed in terms of an infinite series that must be truncated after a certain order. It is shown that, if the closure order is two, the expression of these new correction terms coincides with the Wong-Zakai ones.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105143"},"PeriodicalIF":2.8,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123501","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":"Metamaterial-derived six-DOF isolator for low-frequency vibrations with wide range of supporting load adaptability","authors":"Haifeng Ou, Lingling Hu, Yanbin Wang, Yanfeng Liu, Jia Zeng","doi":"10.1016/j.ijnonlinmec.2025.105153","DOIUrl":"10.1016/j.ijnonlinmec.2025.105153","url":null,"abstract":"<div><div>Harmful vibrations from various directions often need to be isolated and the mass of the isolated object tends to vary randomly in engineering. However, the existing multi-DOF isolators can isolate low-frequency vibrations for a specific payload. Designing an isolator that can simultaneously isolate all-directional low-frequency vibrations and is insensitive to supporting loads remains a significant challenge. Here, a novel metamaterial-derived isolator (MDI) is proposed for isolating vibrations in all DOFs (three translational and three rotational directions). The carefully designed curved beam metamaterial is the core component of MDI, and it can produce force-displacement curves with wide high-static-low-dynamic stiffness (HSLDS) payload range and displacement range. These mechanical properties can be effectively extended to six DOFs by the MDI. The MDI was thoroughly tested with indoor and outdoor excitations to evaluate the vibration isolation performance. Experiments show that the MDI has significant vibration isolation performance for low-frequency vibrations under ultra-wide supporting load range (±24 % supporting load variation). This overcomes the strict limitation that the supporting load of the existing six-DOF isolators can only be unique or vary in a small range. The root-mean-square acceleration attenuation up to 80 %–90 % for each DOF under random excitation from 10 to 50 Hz. In addition, the specially designed outdoor tests clearly demonstrate the outstanding stability and clarity of the camera fixed to the MDI when shooting on uneven roads. This work provides a new perspective for the design of load-insensitive isolators and opens up a whole new vista in practical engineering applications.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105153"},"PeriodicalIF":2.8,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143937868","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}
Yunlong Zhao , Ruize Gao , Wangqun Deng , Mingming Shi , Li Huang , Wenkui Liu , Yongfeng Yang
{"title":"Uncertainty propagation analysis in a double-disk rotor system using a kriging surrogate model and ellipsoidal convex set boundaries","authors":"Yunlong Zhao , Ruize Gao , Wangqun Deng , Mingming Shi , Li Huang , Wenkui Liu , Yongfeng Yang","doi":"10.1016/j.ijnonlinmec.2025.105150","DOIUrl":"10.1016/j.ijnonlinmec.2025.105150","url":null,"abstract":"<div><div>This study analyzes the sensitivity of a double-disk rotor system to uncertain parameters and its nonlinear responses, while also conducting a propagation analysis for both single and multiple uncertain parameters. In this study, a dynamic model of a simply supported double-disk rotor system is developed using the finite element method. Additionally, the ellipsoidal convex set model is employed to quantify the uncertainty parameters in the rotor system. A Kriging surrogate model is developed to efficiently and accurately predict the nonlinear response of the rotor system under uncertainty. The global sensitivity of the rotor system's vibration response is analyzed using the Sobol global sensitivity index. Parameters with higher sensitivity indices are subsequently incorporated into the surrogate model to investigate the propagation mechanisms of both single and multiple uncertainty parameters of the rotor system. The results indicate that the critical speed of the rotor system is primarily influenced by the rotor density and elastic modulus. The vibration peaks of the rotor system are primarily influenced by the disk mass, viscous damping, and the degree of unevenness. Under the influence of multi-parameter uncertainty, the fluctuation ranges of the rotor system's peak vibration and critical speed are further extended.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105150"},"PeriodicalIF":2.8,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144365490","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":"Identification of nonlinear joints using amplitude-dependent modal parameters with high-accuracy reduction techniques","authors":"Xinliang Fan , Tong Wang , Bin Zhou","doi":"10.1016/j.ijnonlinmec.2025.105155","DOIUrl":"10.1016/j.ijnonlinmec.2025.105155","url":null,"abstract":"<div><div>An efficient identification method using amplitude-dependent modal parameters is developed for systems with nonlinear joints. In this method, the nonlinear modal parameters of lightly damped systems are calculated by the extension of the periodic motion concept (EPMC). First, an exact reduction technique is applied to reduce computational effort due to the sparsity of the nonlinear force. Next, the frequency response function (FRF) matrix of the linear part is approximated using the incremental modal expansion, achieving high accuracy to speed up the solution process. An approach to identifying the parameters of the joint model is then introduced, which utilizes the EPMC and the reduction techniques. The objective function for minimization is calculated as a function of the errors between the calculated and measured nonlinear modal parameters, and the corresponding sensitivity matrix is derived. In this work, the modal motion amplitude of a certain reference degree of freedom (DOF) is used as a reference quantity to match the calculated and measured data in the identification process. The efficiency and convergence of the identification method are validated through both simulated and experimental case studies. Results indicate that the identification method can be successfully applied to practical assembly structures.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105155"},"PeriodicalIF":2.8,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108243","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}