International Journal of Non-Linear Mechanics最新文献

Unsteady one-dimensional flows of chemically reacting gas: Group analysis and solution of a strong explosion problem

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-08 DOI: 10.1016/j.ijnonlinmec.2025.105100

Yu.N. Grigoriev , E.I. Kaptsov , S.V. Meleshko

引用次数: 0

Investigation of the effect of squeezing force on nonlinear dynamic characteristics of lap riveted structures

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-07 DOI: 10.1016/j.ijnonlinmec.2025.105114

Guocheng Lv , Fanli Meng , Dawei Jia , Changyou Li , Guangyong Song , Hang Lu , Chunyu Zhao

{"title":"Investigation of the effect of squeezing force on nonlinear dynamic characteristics of lap riveted structures","authors":"Guocheng Lv , Fanli Meng , Dawei Jia , Changyou Li , Guangyong Song , Hang Lu , Chunyu Zhao","doi":"10.1016/j.ijnonlinmec.2025.105114","DOIUrl":"10.1016/j.ijnonlinmec.2025.105114","url":null,"abstract":"<div><div>The dynamic characteristics of lap riveted structures have an important influence on the performance of aircraft structures. According to the loading characteristics of the lap riveted structure, the effect of squeezing force on stiffness and damping characteristics of lap riveted structures is studied. Finally, a complete dynamic model of the lap riveted structure under axial excitation and its influence is constructed. The proposed dynamic model is verified by the stiffness test, modal hammer test, and vibration response test. The dynamic characteristics of lap riveted structures under axial excitation with different squeezing force parameters are discussed using frequency response curves and sweep results. The results show that the change of squeezing force leads to the change of stiffness and damping characteristics of the lap riveted structure, and then affects the dynamic characteristics of the lap riveted structure. The greater the squeezing force, the smaller the response amplitude, and the greater the frequency of the system entering the unstable state. The potential value of this study is to guide the optimal design of lap riveted structures in the design phase.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105114"},"PeriodicalIF":2.8,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816929","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

Data-driven modeling of bolted joints by Iwan dictionary and Laplace prior-enhanced sparse Bayesian learning

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-05 DOI: 10.1016/j.ijnonlinmec.2025.105099

Huasong Liao, Zhong-Rong Lu, Li Wang, Jike Liu, Dahao Yang

{"title":"Data-driven modeling of bolted joints by Iwan dictionary and Laplace prior-enhanced sparse Bayesian learning","authors":"Huasong Liao, Zhong-Rong Lu, Li Wang, Jike Liu, Dahao Yang","doi":"10.1016/j.ijnonlinmec.2025.105099","DOIUrl":"10.1016/j.ijnonlinmec.2025.105099","url":null,"abstract":"<div><div>Numerous constitutive and phenomenological models have been developed in an attempt to adequately represent the frictional hysteresis of bolted joints. However, those models do not comprehensively account for parameters of interest, such as multiscale asperities, variable normal forces, and thermal environments, limiting their applicability to certain conditions. This paper develops a data-driven modeling approach to calibrate bolted joints, enabling the simulation of their asymmetric hysteresis arising from parameters of interest. To this end, an Iwan dictionary is developed from the superposition principle of the Iwan bolted joint model, and reconstructed completely by the macro-slip physical information and the Duhem hysteresis operator. Subsequently, a Laplace prior-enhanced sparse Bayesian learning method is employed to sparsely identify Iwan dictionary’s coefficients and quantify their associated uncertainties, by minimizing the residual between measured and simulated forces. Within this Bayesian learning method, coefficients are estimated initially by an overdetermined linear formulation which is constructed using the Iwan dictionary and the derivatives of measured forces, and then are updated by implementing the sensitivity analysis to the data-driven model. Numerical and experimental studies demonstrate that the coefficients of the Iwan dictionary are identified sparsely, resulting in a data-driven model that is both concise and interpretable. The resulting model activates only a few of the most relevant basis functions of the Iwan dictionary, effectively capturing the asymmetric hysteresis of bolted joints subjected to variable torsional, thermal, and tensile conditions.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105099"},"PeriodicalIF":2.8,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808113","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

Chaotic dynamics of spiral bevel gears

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-04 DOI: 10.1016/j.ijnonlinmec.2025.105098

Moslem Molaie , Antonio Zippo , Francesco Pellicano

{"title":"Chaotic dynamics of spiral bevel gears","authors":"Moslem Molaie , Antonio Zippo , Francesco Pellicano","doi":"10.1016/j.ijnonlinmec.2025.105098","DOIUrl":"10.1016/j.ijnonlinmec.2025.105098","url":null,"abstract":"<div><div>This study investigated the nonlinear dynamics of a Spiral Bevel Gear (SBG) system used in helicopter transmissions. Two approaches were employed to determine the Mesh Stiffness (MS): the average slope method (average-MS) and a hybrid analytical-computational method (adaptive-MS), which accounts for Hertzian contact nonlinearity. The dynamic mesh force was computed using polynomial interpolation techniques and loaded tooth contact analysis. The accuracy of the adaptive-MS approach was validated through comparison with a verified nonlinear finite element method (Nonlinear-FEM) simulation, demonstrating strong agreement. The GearDyns-SBG program was used to solve the system's dynamic model under varying working conditions. Backward and forward simulations were conducted to track stable branches, providing insights into the system's behavior. The study evaluated the dynamic responses based on both mesh stiffness approaches using tools such as FFT spectrum, amplitude-frequency analysis, nonlinear time series analysis, Poincaré maps, phase diagrams, and recurrence plots. The results revealed complex behaviors, including tooth separation, backside contact, boundary crises, and period-doubling cascades. Additionally, the largest Lyapunov exponent and fractal dimension were used to characterize the dynamics and 3D bifurcation analysis captured transitions between regular and chaotic regimes. The periodicity characteristics of the system were evaluated by recurrence quantification analyses. These findings enhance the understanding of nonlinear gear dynamics of SBG and provide reliable methods for predicting and analyzing their behavior.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105098"},"PeriodicalIF":2.8,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792539","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

Combination Resonance of Dual Rotor Systems with Pedestal Looseness Using a Modified Model

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-03 DOI: 10.1016/j.ijnonlinmec.2025.105101

Jie Hong , Qiyao Dai , Zhefu Yang , Jing Tian , Bo Sun , Yongfeng Wang , Zhihong Song , Yanhong Ma

{"title":"Combination Resonance of Dual Rotor Systems with Pedestal Looseness Using a Modified Model","authors":"Jie Hong , Qiyao Dai , Zhefu Yang , Jing Tian , Bo Sun , Yongfeng Wang , Zhihong Song , Yanhong Ma","doi":"10.1016/j.ijnonlinmec.2025.105101","DOIUrl":"10.1016/j.ijnonlinmec.2025.105101","url":null,"abstract":"<div><div>In the bearing-support structure of aero engine, there is often a fit clearance between bearing outer ring and pedestal, which is called pedestal looseness, causing potential combination resonance under the unbalance excitation of the high-pressure and low-pressure rotors in dual rotor systems. In this paper, the phenomenon of combination resonance in dual rotor systems with pedestal looseness is investigated. A modified model of pedestal looseness is proposed to accurately describe the interaction between the bearing and pedestal. An analytical expression of the nonlinear force between the bearing and pedestal under multi-frequency excitations is derived, theoretically revealing the mechanism of combination frequencies induced by pedestal looseness. A method based on the harmonic balance technique is developed to solve for the combination frequency response of rotor system with pedestal looseness. It is further demonstrated that when the combination frequencies approach the modal frequencies, combination resonance occurs, significantly exacerbating the dynamic response. Finally, the modified model of pedestal looseness is applied in dual rotor systems with an inter-shaft bearing. Experimental verifications are conducted to study potential combination frequency phenomenon. The results indicate that when the combination frequencies approach the coupled modal frequencies of the dual rotor system, the amplitude of the combination frequency in the response increases significantly, leading to combination resonance.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105101"},"PeriodicalIF":2.8,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808111","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

Surface tractions for unsymmetrical nominally flat contacts under partial reverse slip conditions

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-02 DOI: 10.1016/j.ijnonlinmec.2025.105095

Vivek Anand , N. Hamza , H. Murthy

{"title":"Surface tractions for unsymmetrical nominally flat contacts under partial reverse slip conditions","authors":"Vivek Anand , N. Hamza , H. Murthy","doi":"10.1016/j.ijnonlinmec.2025.105095","DOIUrl":"10.1016/j.ijnonlinmec.2025.105095","url":null,"abstract":"<div><div>Dovetail regions in blade-disk joints of aircraft engines are prone to damage due to stress concentration and steep stress gradients. Evaluation of contact tractions (pressure and shear) is an essential first step towards an accurate estimation of stresses, in order to estimate the life of the components. They are modeled as unsymmetrical nominally flat contacts (different edge radii) that experience moment and bulk stress in addition to normal and tangential loads. Existing solution for pressure in a symmetrical nominally flat contact is modified to obtain a closed-form solution for pressure in an unsymmetrical nominally flat contact. A new analytical solution for shear traction under partial reverse slip (large bulk stress) conditions is obtained by approximating the contact pressure into equivalent Hertzian and square flat distributions in the central flat and rounded edges, respectively, thereby avoiding the logarithmic and other complicated terms. Limiting/ transition bulk stresses that determine various regimes of partial reverse slip conditions are evaluated and used to determine the shear case for given loading.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105095"},"PeriodicalIF":2.8,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759377","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

Numerical analysis of two-dimensional elastoplastic problems based on zonal free element method

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-01 DOI: 10.1016/j.ijnonlinmec.2025.105102

Yi-Fan Wang , Xiao-Wei Gao , Bing-Bing Xu , Hai-Feng Peng

{"title":"Numerical analysis of two-dimensional elastoplastic problems based on zonal free element method","authors":"Yi-Fan Wang , Xiao-Wei Gao , Bing-Bing Xu , Hai-Feng Peng","doi":"10.1016/j.ijnonlinmec.2025.105102","DOIUrl":"10.1016/j.ijnonlinmec.2025.105102","url":null,"abstract":"<div><div>In this paper, a weak-form numerical method, the zonal free element method (ZFrEM) is introduced to solve two-dimensional elastoplastic problems. In ZFrEM, the whole domain is divided into several sub-domains, and then a series of points are used to discretize each sub-domain. The Lagrange isoparametric element concept in the finite element method (FEM) is employed to form the collocation element for each collocation node with the neighboring points, and the system equations are generated with the point-by-point. The continuous model separates strain into elastic and plastic components, ensuring that stress variation is solely dependent on the elastic component of the strain, which is consistent with classical elasticity theory, and assuming that plastic strain is independent of stress increments, which results in a nonlinear system of equations with the coefficient matrix dependent on the current incremental stress state. For the nodes in the plastic state, a stress regression technique aligns stresses with defined yield surfaces. Three numerical examples are given to verify the accuracy and convergence of the present method for solving the elastoplastic problems.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105102"},"PeriodicalIF":2.8,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808114","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

On a new class of implicit constitutive relation for quasi-incompressible and compressible isotropic nonlinear elastic solids

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-04-01 DOI: 10.1016/j.ijnonlinmec.2025.105084

R. Bustamante , P. Arrue

{"title":"On a new class of implicit constitutive relation for quasi-incompressible and compressible isotropic nonlinear elastic solids","authors":"R. Bustamante , P. Arrue","doi":"10.1016/j.ijnonlinmec.2025.105084","DOIUrl":"10.1016/j.ijnonlinmec.2025.105084","url":null,"abstract":"<div><div>An implicit constitutive relation, in which the Hencky strain tensor is assumed to be a function of the Kirchhoff stress tensor, is applied to analyse isotropic compressible and quasi-incompressible nonlinear elastic solids. The implicit relation is based on the use of a Gibbs potential. Experimental data allow the determination of the determinant of the deformation gradient as a function of the spherical part of the stress, commonly referred to in the literature as ‘pressure’. By substituting the expression for the Hencky strain tensor into the aforementioned relation, a first-order linear partial differential equation for the Gibbs potential is obtained. The solution of this equation defines a class of elastic body that can be used to fit experimental data for nonlinear compressible solids. Some boundary-value problems are solved, considering both homogeneous and non-homogeneous deformations (in this latter case the inflation of a cylindrical annulus). The implicit constitutive relation is applied to fit experimental data for a type of natural rubber and a class of polypropylene foam. Using these constitutive relations, the problem of inflation of a cylindrical annulus is further analysed numerically.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105084"},"PeriodicalIF":2.8,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759378","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

Modeling dynamics of traffic flow, information creation and spread through vehicle-to-vehicle communications: A kinetic approach

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-03-31 DOI: 10.1016/j.ijnonlinmec.2025.105096

Shoufeng Lu

{"title":"Modeling dynamics of traffic flow, information creation and spread through vehicle-to-vehicle communications: A kinetic approach","authors":"Shoufeng Lu","doi":"10.1016/j.ijnonlinmec.2025.105096","DOIUrl":"10.1016/j.ijnonlinmec.2025.105096","url":null,"abstract":"<div><div>Vehicle-to-vehicle (V2V) communication technology enables the information exchange between vehicles. This connectivity presents significant challenges for traffic flow modeling, as it requires a framework that captures the dynamics of not only vehicle movement, but also information creation and spread. The conventional speed distribution function is extended to incorporate an information state variable alongside time, location, and speed. In addition, a communication success probability is formulated that accounts for the communication range and vehicle density. Information is created based on variations in the minimum speed between all vehicles. Under the framework of kinetic theory for active particles, the evolution equations governing these multiple dynamics are derived to elucidate the interactions between traffic flow, information creation, and spread. The proposed kinetic model facilitates the simulation and evaluation of V2V communication-based applications, thereby enhancing the understanding of overall system behavior. Two numerical experiments, collaborative deceleration and variable speed limits based on V2V communication, are computed to validate the proposed kinetic model.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105096"},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748027","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

An asymptotic model of vibroadhesion

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2025-03-23 DOI: 10.1016/j.ijnonlinmec.2025.105089

I. Argatov , A. Papangelo , M. Ciavarella

引用次数: 0