International Journal of Non-Linear Mechanics最新文献_第3页

Study on the camber angle of an aircraft radial tire: stress, contact, damage, and modal behaviors 飞机子午线轮胎的弯曲角研究：应力、接触、损伤和模态行为

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.2025.105118

Ziyao Ma , Hanjing Lu , Caishan Liu , Xiaoting Rui

{"title":"Study on the camber angle of an aircraft radial tire: stress, contact, damage, and modal behaviors","authors":"Ziyao Ma , Hanjing Lu , Caishan Liu , Xiaoting Rui","doi":"10.1016/j.ijnonlinmec.2025.105118","DOIUrl":"10.1016/j.ijnonlinmec.2025.105118","url":null,"abstract":"<div><div>During the landing process, there often exists a camber angle θ between the aircraft and the ground, complicating the tire-ground contact behavior and the consequential damage evolution. In this paper, a finite element analysis considering the cord-rubber composite structure of the aircraft radial tire, along with the hyperelasticity and Mullins effect of rubber is performed to investigate the effect of the camber angle θ on its stress distribution, the tire-ground contact behavior, the damage evolution, and the vibration characteristics. According to the stress analysis of the numerical results, under different θ, the tire shoulder is always the most vulnerable location where the stress concentrates the most and the Mullins damage indicator accumulates the most. The tire-ground contact behavior under different θ is analyzed and it is found that the vertical stiffness-displacement curves can be divided into three regimes due to the different involvement of the tire shoulder in the tire-ground contact process. The largest Mullins damage is first detected in the cross-section surface which is 30° from the middle of the contact region while as the load increases, the Mullins damage in the contact region increases rapidly and exceeds that in the 30° surface. Moreover, the vibration characteristics of the non-damaged tire and the damaged tire are extracted and compared. Different degrees of decrease in the natural frequencies are observed while no change is detected in modal shapes when Mullins damage is introduced. This paper reveals the importance of the tire shoulder in the tire structure design and the tire-ground contact process, and provides an insight into the damage monitoring technique of the aircraft radial tire.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105118"},"PeriodicalIF":2.8,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829796","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 large deformation and stress analysis of shrink-fit multi-layer thick-walled/sandwich pressurized hyperelastic cylinders 收缩配合多层厚壁/三明治加压超弹性圆柱体的精确大变形和应力分析

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.2025.105112

M. Shariyat, M. Momeni

{"title":"Exact large deformation and stress analysis of shrink-fit multi-layer thick-walled/sandwich pressurized hyperelastic cylinders","authors":"M. Shariyat, M. Momeni","doi":"10.1016/j.ijnonlinmec.2025.105112","DOIUrl":"10.1016/j.ijnonlinmec.2025.105112","url":null,"abstract":"<div><div>The analytical closed-form solutions reflect the exact form of the dependency on the parameters and exhibit higher accuracy, extremely shorter computational times, and more problem-specific consistency in comparison to the finite-element-based results of the commercial computer codes, especially in the presence of constitutive, large deformation, and contact nonlinearities. In the present study, an analytical solution is proposed to treat the even more complicated problem of pressurized Mooney-Rivlin hyperelastic multilayer/sandwich cylinders that are composed of prestressed/shrink-fitted layers made of distinct hyperelastic materials. In contrast to the approximate finite element commercial computer codes, the material incompressibility and continuity conditions of the interfacial radial displacements and stresses can exactly be incorporated in the developed closed-form exact formulation. Moreover, an adaptive Newton-Brent robust numerical technique is employed to solve the resulting highly nonlinear equations. After verification of the results, the sensitivity of the resulting distributions of the deformations and radial, hoop, and axial stresses as well as the interfacial jumps in the hoop and axial stresses, against the stacking sequence of the layers, magnitude of the internal pressure, differences in the materials and thicknesses of the layers, and especially, the magnitudes of the shrink-fits are discussed in detail. Moreover, the influence and the effectiveness of the shrink-fit magnitude on the reduction of the resulting maximum hoop stresses are evaluated for different internal pressures. Results show that while proper shrink-fit values may mitigate the peaks of the interfacial hoop stresses of the compound multilayer hyperelastic cylinder, excessive magnitudes may lead to premature failures. Moreover, the shrink-fit/interference may lead to more uniform stress distribution and thus, more efficient pressure vessels from the design point of view.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105112"},"PeriodicalIF":2.8,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826091","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

Nonlinear dynamic analysis of ceramic bearing-spindle system considering fit clearance dynamic variations 考虑配合间隙动态变化的陶瓷轴承-主轴系统非线性动力学分析

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.2025.105104

Liuwang Gao , Ke Zhang , Zhan Wang

{"title":"Nonlinear dynamic analysis of ceramic bearing-spindle system considering fit clearance dynamic variations","authors":"Liuwang Gao , Ke Zhang , Zhan Wang","doi":"10.1016/j.ijnonlinmec.2025.105104","DOIUrl":"10.1016/j.ijnonlinmec.2025.105104","url":null,"abstract":"<div><div>The CMSS (ceramic motorized spindles system) has increased vibration and instability due to non-uniform fluctuations in the outer ring fit clearance and bearing internal contact condition caused by the different material characteristics of ceramic bearings and steel pedestals. Therefore, a five-degree-freedom outer ring clearance fit model is firstly established, and the dynamic variations of the internal clearance are considered in the bearing quasi-static model, finally the CMSS dynamics model is established. The nonlinear factors caused by raceway-ball contact and outer ring-pedestal contact is considered in this model, and the nonlinear variations caused by thermal deformation and interference fit on outer ring fit clearance and internal clearance of bearing are discussed in detail. The effects of rotation speed, outer ring fit clearance and internal clearance on vibration characteristics and stability of CMSS are analyzed. Finally, the temperature and vibration experiments are verified by the CMSS test platform. The results indicate that thermal deformation increases the nonlinear excitation of the CMSS. The increase in outer ring fit clearance will increase the external excitation of the CMSS but will not make the system enter chaotic motion, whereas the effect of internal clearance on the CMSS motion state is more obvious, and the increase of external clearance will shorten the range of internal clearance in periodic motion.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105104"},"PeriodicalIF":2.8,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852028","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

Investigation of the effect of squeezing force on nonlinear dynamic characteristics of lap riveted structures 挤压力对搭接结构非线性动力特性影响的研究

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 基于Iwan字典和拉普拉斯先验增强稀疏贝叶斯学习的螺栓连接数据驱动建模

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 螺旋锥齿轮混沌动力学

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 基于修正模型的基座松动双转子系统组合共振

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

Performance of energy harvesters with parameter mismatch 参数不匹配的能量采集器性能

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.2025.105097

Tomasz Burzyński, Piotr Brzeski, Przemysław Perlikowski

引用次数: 0

Surface tractions for unsymmetrical nominally flat contacts under partial reverse slip conditions 部分反滑条件下非对称名义平面触点的表面牵引力

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 基于区域自由元法的二维弹塑性问题数值分析

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