International Journal of Non-Linear Mechanics最新文献

{"title":"A scaling procedure for the shock characteristic of aluminum foam sandwich panels","authors":"Fengxia He ,&nbsp;Chuansheng Zheng ,&nbsp;Zhong Luo ,&nbsp;Haitao Luo ,&nbsp;Chengying Zhao ,&nbsp;Huaitao Shi ,&nbsp;Xiaotian Bai","doi":"10.1016/j.ijnonlinmec.2025.105026","DOIUrl":"10.1016/j.ijnonlinmec.2025.105026","url":null,"abstract":"<div><div>A structural similitude is introduced for the assessment of the vibration characteristics inherent to aluminum foam sandwich (AFS) panels. Scaling law for the natural frequency is fitted by neural network and transition models. The findings derived from both numerical simulations and experimental investigations indicate that the method put forth demonstrates superior efficacy compared to the conventional similitude theory utilized in governing equations. Additionally, a novel approach termed Similitudes based on Virtual Mode and Statistical Energy (SVMSE) is put forward to anticipate the shock response of AFS panels, incorporating similarity criteria for more accurate re-modulation. The numerical findings indicate that impact scenarios across various structures exhibit dynamic similarity, demonstrating identical vibration responses regardless of variations in size, impact duration, and amplitude. The results of the impact test on AFS panels indicate that the acceleration response and shock response spectrum (SRS) can be effectively scaled to extrapolate the behavior of the prototype, even in the presence of incomplete similarity. The anticipated similitude laws are expected to assist researchers in minimizing both costs and risks associated with experimental investigations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105026"},"PeriodicalIF":2.8,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104176","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":"On homogeneous and inhomogeneous deformation response of some generalized linear incompressible transversely isotropic hyperelastic potentials","authors":"Mathlouthi Safa ,&nbsp;Trifa Mohamed ,&nbsp;Arfaoui Makrem","doi":"10.1016/j.ijnonlinmec.2025.105024","DOIUrl":"10.1016/j.ijnonlinmec.2025.105024","url":null,"abstract":"<div><div>To accurately predict the mechanical behavior of soft materials, continuum mechanics-based phenomenological constitutive models are analyzed. This work examines three compatible standard incompressible transversely isotropic hyperelastic potentials. These potentials are derived from the neo-Hookean strain energy model, which extends linear elasticity theory to account for non-linear responses. They are characterized by quadratic dependencies on the fourth and fifth invariants, or their product, and are defined by three material parameters. The responses of these models under homogeneous deformations, such as simple tensile and simple shear, and non-homogeneous inflation, are examined and evaluated. The findings provide insights into the influence of linear theory on model development and its effectiveness in representing realistic stress responses in soft materials. The study highlights the importance of the building model methodology, especially concerning material instabilities.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105024"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143478736","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 analysis of a bistable 2-DOF coupled oscillator with nonlinear damping","authors":"Peng Chen ,&nbsp;Xiao-Dong Yang","doi":"10.1016/j.ijnonlinmec.2025.105021","DOIUrl":"10.1016/j.ijnonlinmec.2025.105021","url":null,"abstract":"<div><div>This paper investigates the dynamics of a novel bistable 2-DOF coupled oscillator with nonlinear damping. The system is based on a conventional bistable nonlinear energy sink (NES), with nonlinear damping introduced to enhance the vibration absorption efficiency and reduce the threshold for a strongly modulated response (SMR). Initially, the slow invariant manifold (SIM) of the system is derived using complexification-averaging and multiple scales methods. The characteristics of saddle-node (SN) bifurcation and Hopf bifurcation at the periodic fixed point are then analyzed, identifying the ranges of stiffness, damping, and other parameters that influence the SMR. Subsequently, the SIM is examined in detail across different timescales, and the amplitude thresholds of external excitation that trigger SMR are derived. Finally, the system's maximum amplitude is optimized to reduce it while ensuring the generation of SMR. A numerical analysis of the energy spectrum near the resonance frequency is also conducted to compare the vibration suppression efficiency between the conventional NES and the bistable NES with nonlinear damping. The results demonstrate that the bistable NES with nonlinear damping effectively lowers the external excitation threshold for SMR, offering a wider threshold range and higher vibration suppression efficiency. Key parameters such as the mass ratio, linear and nonlinear stiffness, and nonlinear damping significantly influence the occurrence of SMR.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105021"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104171","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":"Stochastic resonance phenomenon of shape memory alloy strip plates under main resonance","authors":"Ying Hao ,&nbsp;Xusu Shou ,&nbsp;Xinmiao Yu","doi":"10.1016/j.ijnonlinmec.2025.105020","DOIUrl":"10.1016/j.ijnonlinmec.2025.105020","url":null,"abstract":"<div><div>This article investigates the main resonance and stochastic resonance problems of axially moving shape memory alloy strip plates under lateral loads. Adopting the Hamiltonian principle, a dynamic model of axially moving shape memory alloy strip plates under uniformly distributed loads is established. Considering the combined effect of harmonic excitation and random disturbance, a signal-to-noise ratio curve is drawn for the system. The effects of parameters such as the temperature, external excitation amplitude, and axial velocity on the main resonance response of the system are analyzed. The analysis of the example shows that for the same intensity of random disturbance, the potential barrier of the potential function is lower at the right temperatures, making the system more prone to stochastic resonance.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105020"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104175","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":"Modal and non-modal linear stability analysis of plane channel flow through a Darcy-Brinkman porous medium with symmetric and asymmetric slippery walls","authors":"D.L. Shivaraj Kumar ,&nbsp;D.L. Geetha ,&nbsp;M.S. Basavaraj","doi":"10.1016/j.ijnonlinmec.2025.105015","DOIUrl":"10.1016/j.ijnonlinmec.2025.105015","url":null,"abstract":"<div><div>This study investigates the linear stability and transient growth behavior of fluid flow in a channel influenced by varying slip boundary conditions, porous parameters, and viscosity ratios. The Chebyshev Collocation Method (CCM) was used to solve the modified eigenvalue problem, leveraging basic routines of MATLAB 2024b and the QZ algorithm for high precision in capturing stability characteristics. Using modal and non-modal stability analyses, the results reveal that boundary conditions—no-slip, symmetric slip, and asymmetric slip—strongly influence flow stability, eigenvalue spectra, and velocity profiles. With increasing slip length, symmetric slip enhances stability by raising the critical Reynolds number, while asymmetric slip introduces complex stability dynamics, particularly at higher viscosity ratios. Non-modal analysis highlights transient energy growth, pseudospectrum, and contour plots, especially under asymmetric slip, suggesting that disturbances could cause significant short-term deviations even in stable regimes. The results from the modal analysis appear to align well with those from the non-modal analysis.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105015"},"PeriodicalIF":2.8,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104172","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":"Nonlinear thermal radiation effects on bioconvection nano fluid flow over a convectively heated plate","authors":"M.M. Hamza ,&nbsp;A. Sheriff ,&nbsp;B.Y. Isah ,&nbsp;A. Bello","doi":"10.1016/j.ijnonlinmec.2024.105010","DOIUrl":"10.1016/j.ijnonlinmec.2024.105010","url":null,"abstract":"<div><div>Nonlinear density variation and nonlinear thermal radiation's effects on the bioconvection of a nano-liquid film in a convectively heated channel are examined in this article. This article examines a thin film that gravitationally pulls along a channel, containing both nanoparticles and gyrotactic bacteria. By using similarity transformations, the governing partial differential equations for momentum, energy, nanoparticle concentration, and microbe density are transformed into ordinary differential equations and numerically solved using the legendary spectral collocation method in Mathematica and demonstrate its efficiency and accuracy in modeling complex flow behaviors. The findings demonstrate that while nonlinear density effects are essential for enhancing nanoparticle dispersion and bioconvection patterns, nonlinear thermal radiation greatly improves heat transfer and fluid velocity. Numerous flow parameters' effects on the flow profiles are investigated, including the parameter of Brownian motion, the Rayleigh number for bioconvection, and the density parameters of nonlinear motile microorganisms. The outcomes show that the influence of nonlinear parameters increases heat and mass efficiency transmission in the system by reducing temperature and concentration gradients. The study provides useful information on how to enhance cooling techniques and energy efficiency for a range of industrial applications, such as solar panels, thermal regulation in electronics, and chemical processes. Additionally, it highlights the potential application of gyrotactic microorganisms in conjunction with nanofluids to enhance pollutant removal in environmental systems.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105010"},"PeriodicalIF":2.8,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104259","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":"Energy element method for large deflection analysis of arbitrarily shaped plates","authors":"Siqi Wang ,&nbsp;Zhao Jing ,&nbsp;Yanjie Liu ,&nbsp;Lei Duan","doi":"10.1016/j.ijnonlinmec.2024.105009","DOIUrl":"10.1016/j.ijnonlinmec.2024.105009","url":null,"abstract":"<div><div>The Ritz-based energy element method (EEM) is presented for large deflection analysis of arbitrarily shaped plates. The geometric model of an arbitrarily shaped plate is constructed by creating cutouts within a minimum rectangular domain covering the plate, in which a discrete energy system is established to simulate the plate based on the global admissible function, extended interval integral, Gauss quadrature, energy elements, and global variable stiffness. The energy element is defined to simulate strain energy of a rectangular subregion within the minimum rectangular domain, which contains a distinct number of Gauss points and allows geometric boundaries to pass through. Energy elements are generated by taking both the plate geometry and the distribution characteristic of Gauss points into consideration, resulting in a significant reduction of the required number of Gauss points than the Discrete Ritz method. By assigning variable stiffness properties on Gauss points, geometric boundaries of arbitrarily shaped plates can be captured in the numerical integration process. After removing the energy characterized by zero stiffness Gauss points out of the plate domain, the Gauss points based discrete model is constructed and the arbitrarily shaped plate can be simulated using discrete energy. The trust-region-dogleg method is utilized to solve the nonlinear algebraic equations of large deflection problem, and the numerical solution is produced. The solution procedures of EEM are standard and consistent applicable for plates of any shape. Comparisons regarding deflection and stresses with existing literature are presented.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105009"},"PeriodicalIF":2.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143172062","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":"Study on torsional vibration response of compressor flexible rotor system considering collision clearance","authors":"Cheng Wang ,&nbsp;Zhiqiang Huang ,&nbsp;Tao Li ,&nbsp;Jie Wang","doi":"10.1016/j.ijnonlinmec.2025.105013","DOIUrl":"10.1016/j.ijnonlinmec.2025.105013","url":null,"abstract":"<div><div>In order to explore the influence of clearance and flexibility on the torsional vibration of the compressor rotor system, a torsional vibration calculation model of the compressor crankshaft system that takes into account the influence of contact clearance and flexibility characteristics is proposed. The simulation results show that frictional impacts occur between the second and fourth rows of the crankshaft bushings and the pin. In addition, the transmission torque of the coupling is lost by 7.1%. Meanwhile, compressor vibration test experiments were carried out, and the vibration speed error of the free end of the crankshaft system under experiment and simulation was 11.9%, which verified the accuracy of the research method and model. On this basis, the dynamic response of torsional vibration of the crankshaft system under different clearances and different driving speeds was further investigated. The results show that the larger the clearance and speed, the worse the matching of power transmission of the crankshaft system, but the standard deviation of piston acceleration shows a high-low-high trend with the increase of rotational speed, indicating that there is room for adjustment of rotational speed. The study has certain guiding significance for improving the operation stability of the compressor.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"174 ","pages":"Article 105013"},"PeriodicalIF":2.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684760","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":"Hyperelasticity: Lennard-Jones potentials","authors":"S.V. Kuznetsov","doi":"10.1016/j.ijnonlinmec.2025.105014","DOIUrl":"10.1016/j.ijnonlinmec.2025.105014","url":null,"abstract":"<div><div>A set of the modified Lennard-Jones potentials used for modeling 1D hyperelasticity ensuring (i) positive definiteness of the tangent elastic modulus; (ii) a natural state at zero strain; and, (iii) negative stress at negative strain and vice versa. With these conditions the constructed set of the modified Lennard-Jones potentials allow modeling a broad range of elastic stress-strain states at both static and dynamic loadings. It has also been found that the considered potentials when applied to the problem of acoustic wave propagation, lead to the appearance of shock wave fronts, similar to those observed in bi-modular media with discontinuous elastic moduli.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"170 ","pages":"Article 105014"},"PeriodicalIF":2.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136482","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":"Study on shear creep test and nonlinear model of granite structural plane under coupled freeze-thaw cycle and chemical corrosion","authors":"Fengrui Zhang ,&nbsp;Wei Yin ,&nbsp;Kun Zhang ,&nbsp;Haopeng Jiang","doi":"10.1016/j.ijnonlinmec.2024.105012","DOIUrl":"10.1016/j.ijnonlinmec.2024.105012","url":null,"abstract":"&lt;div&gt;&lt;div&gt;To investigate the combined effect of freeze-thaw cycles and chemical corrosion on the shear creep characteristics of rock structural planes in cold regions, taking the granite structural planes of Huibai Tunnel in Jilin Province as the research object, microscopic structural observation and shear creep test were carried out on the structural surfaces treated by acidic, neutral and alkaline solution immersion and freeze-thaw cycles, analyzed the damage characteristics and creep mechanism of structural planes. The results show that: (1) With the increase of freeze-thaw and chemical corrosion, the structural plane of the mineral particles significantly reduced, the structural plane shows phenomena such as dissolution and hydrolysis, and the surface is gradually smoothed. (2) Compared with the natural condition, the instantaneous deformation of the samples under 20, 40, and 60 freeze-thaw cycles in H&lt;sub&gt;2&lt;/sub&gt;SO&lt;sub&gt;4&lt;/sub&gt; solution increased by 47.43%, 64.52%, and 128.57%, the creep deformation increased by 36.58%, 53.68%, and 107.31%, and the instantaneous shear modulus decreased by 25.34%, 40.31%, and 64.35%. The instantaneous deformation, creep deformation and creep rate of the structural plane gradually increase with the increase of freeze-thaw and chemical corrosion, while the instantaneous shear modulus and long-term shear strength show a decreasing trend. (3) Compared with the natural condition, the instantaneous deformation of the samples in H&lt;sub&gt;2&lt;/sub&gt;SO&lt;sub&gt;4&lt;/sub&gt;, NaOH and NaCl solutions increased by 128.57%, 68.29% and 85.36% respectively under 60 freeze-thaw cycles, the creep deformation increased by 107.31%, 62.52% and 76.88% respectively, and the instantaneous shear modulus decreased by 64.35%, 50.31% and 56.54% respectively. The acidic H&lt;sub&gt;2&lt;/sub&gt;SO&lt;sub&gt;4&lt;/sub&gt; solution has the greatest impact on the damage and creep parameters of the structural planes, followed by NaOH solution, with NaCl solution causing the least damage. Furthermore, in the damage process of structural planes, the freeze-thaw cycle and chemical corrosion promote each other mutually, since the combined influence of two-factor on damage and creep characteristics are greater than the influence of single factor. Based on the experimental results, considering the influence of freeze-thaw and chemical corrosion on model parameters, a nonlinear viscous element was introduced to describe the accelerated creep characteristics, the shear creep damage model of structural plane was established, and the reasonableness of the model was verified through test data. Finally, the three-dimensional roughness &lt;em&gt;JRC&lt;/em&gt;&lt;sup&gt;&lt;em&gt;3D&lt;/em&gt;&lt;/sup&gt; of the structural plane was selected as the evaluation index, and the influence of the three-dimensional roughness &lt;em&gt;JRC&lt;/em&gt;&lt;sup&gt;&lt;em&gt;3D&lt;/em&gt;&lt;/sup&gt; on the shear creep mechanical properties of the structural plane was discussed. The research results have guiding significance for the long-term stability evaluation of rock mass","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"170 ","pages":"Article 105012"},"PeriodicalIF":2.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137294","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}