International Journal of Non-Linear Mechanics最新文献_第10页

Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions 非紧凑区域线性化热弹性的渐近空间行为

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-07-05 DOI: 10.1016/j.ijnonlinmec.2024.104826

引用次数: 0

Study of the large bending behavior of CNTs using LDTM and nonlocal elasticity theory 利用 LDTM 和非局部弹性理论研究 CNT 的大弯曲行为

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-07-05 DOI: 10.1016/j.ijnonlinmec.2024.104828

B.R.K.L.L. Mawphlang, P.K. Patra

{"title":"Study of the large bending behavior of CNTs using LDTM and nonlocal elasticity theory","authors":"B.R.K.L.L. Mawphlang, P.K. Patra","doi":"10.1016/j.ijnonlinmec.2024.104828","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104828","url":null,"abstract":"<div><p>The general expressions for vertical deflection, horizontal displacement, and strain energy in a bent cantilevered carbon nanotube (CNT) are derived herein under a uniformly distributed load. This derivation employs nonlocal elasticity theory, crucial for understanding nanoscale mechanics due to size effects, and accounts for the nonlinear relationship between bending curvature and deflection under large bending conditions, a novel contribution. In the limiting cases, our expressions for large bending give the corresponding expressions reported in the literature for small bending. Additionally, we introduce the Laplace-Differential Transformation Method (LDTM) for the first time, providing efficient solutions to explore the influence of parameters like aspect ratio and small-scale factors on CNT bending behavior. Comparison with the analytical method validates the accuracy and efficacy of LDTM, offering a rapid solution for nonlinear equations. Our findings reveal that strain energy deviates more prominently from quadratic behavior in CNTs with high aspect ratios, while small-scale parameters have a pronounced effect on CNTs with smaller aspect ratios. These results will be relevant to designing and applying the nanoscale-sized cantilevered CNTs used in MEMs/NEMs.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141593722","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

Study on the tribological performance at the interface between a steel wire rope and groove during a twisting process 扭转过程中钢丝绳与沟槽界面的摩擦学性能研究

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-07-05 DOI: 10.1016/j.ijnonlinmec.2024.104829

Yuanpei Chen , Shengnan Wang , Hong Tan , Jin Xu , Yituan He , Shaorui Wang

{"title":"Study on the tribological performance at the interface between a steel wire rope and groove during a twisting process","authors":"Yuanpei Chen , Shengnan Wang , Hong Tan , Jin Xu , Yituan He , Shaorui Wang","doi":"10.1016/j.ijnonlinmec.2024.104829","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104829","url":null,"abstract":"<div><p>In actual use, a steel wire rope is often stretched and twisted around a groove, increasing the risks of contact fatigue, friction and wear at the rope-groove interface under a long-term service condition. With the consideration of influence factors such as the nonlinear contact and wear between the rope and groove, the tribological performance at the rope-groove interface during a twisting process is analyzed in this study. A winding rope-groove model is first established in order to obtain the contact and sliding solutions at the interface between the rope and groove, which are then used as the load conditions of a simplified local model that is built for wear solution using a modified Archard's wear theory. Based on the finite element simulation software ABAQUS, the ALE adaptive mesh technology and UMESHMOTION subroutine secondary development are adopted to analyze the evolutions of wear topography and contact behavior between the rope and the groove. The results show that the twisting movement of the steel wire rope around the groove causes an interfacial wear between them. The wear scars occur on the outside wire of the steel wire rope and the bottom area of the groove, and the wear scar on the groove is smaller but deeper. A ring-shaped region of stress concentration happens near the edge of wear region. As the wear process proceeds, the depths and dimensions of the wear scars increase, while the contact pressure decreases. The contact performance and wear change dramatically at the beginning of wear process and tend to be stable subsequently. An increment of lay angle of the outside wire aggravates the wear and contact between the steel wire rope and the groove.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141593721","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

Approximate analytical solution using power series method for the propagation of blast waves in a rotational axisymmetric non-ideal gas 用幂级数法近似解析旋转轴对称非理想气体中爆炸波的传播

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-07-03 DOI: 10.1016/j.ijnonlinmec.2024.104825

Nandita Gupta, Rajan Arora

{"title":"Approximate analytical solution using power series method for the propagation of blast waves in a rotational axisymmetric non-ideal gas","authors":"Nandita Gupta, Rajan Arora","doi":"10.1016/j.ijnonlinmec.2024.104825","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104825","url":null,"abstract":"<div><p>In this paper, the propagation of the blast (shock) waves in non-ideal gas atmosphere in rotational medium is studied using a power series method in cylindrical geometry. The flow variables are assumed to be varying according to the power law in the undisturbed medium with distance from the axis of symmetry. To obtain the similarity solution, the initial density is considered as constant in the undisturbed medium. Approximate analytical solutions are obtained using Sakurai’s method by extending the power series of the flow variables in power of <span><math><msup><mrow><mfenced><mrow><mfrac><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow><mrow><mi>U</mi></mrow></mfrac></mrow></mfenced></mrow><mrow><mn>2</mn></mrow></msup></math></span>, where <span><math><mi>U</mi></math></span> and <span><math><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> are the shock velocity and speed of sound, respectively, in undisturbed fluid. The strong shock wave is considered for the ratio <span><math><msup><mrow><mfenced><mrow><mfrac><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow><mrow><mi>U</mi></mrow></mfrac></mrow></mfenced></mrow><mrow><mn>2</mn></mrow></msup></math></span> which is considered to be a small quantity. With the aid of that method, the closed-form solutions for the zeroth-order approximation is given as well as first-order approximate solutions are discussed. Also, with the help of graphs behind the blast wave for the zeroth-order, a comparison between the numerical solution and the approximate analytical solution are shown. The distributions of flow variables such as density, radial velocity, pressure and azimuthal velocity are analysed. The results for the rotationally axisymmetric non-ideal gas environment are compared to those for the ideal gas atmosphere. The velocity-distance and time-distance curves are also shown to analyse the decaying characteristic of a blast wave.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141606574","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

Unilateral contact for a free mass in mass impact based metamaterial unit cell for vibration control 基于质量冲击的超材料振动控制单元中自由质量的单边接触

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-29 DOI: 10.1016/j.ijnonlinmec.2024.104822

Muskaan Sethi, Arnab Banerjee, Bappaditya Manna

引用次数: 0

A novel LSTM-integrated non-intrusive ROM for reliability analysis of hysteretic systems with large stochastic dimension 用于大随机维度滞后系统可靠性分析的新型 LSTM 集成非侵入式 ROM

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-29 DOI: 10.1016/j.ijnonlinmec.2024.104803

Chandan Bharti, Debraj Ghosh

{"title":"A novel LSTM-integrated non-intrusive ROM for reliability analysis of hysteretic systems with large stochastic dimension","authors":"Chandan Bharti, Debraj Ghosh","doi":"10.1016/j.ijnonlinmec.2024.104803","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104803","url":null,"abstract":"<div><p>Failure probability estimation of hysteretic systems subjected to random process excitation appears in many practical engineering applications, such as structures subjected to earthquake and vibration control. This task is computationally challenging due to the need for repeated solutions of a high-resolution model. This cost grows significantly with the stochastic dimension — characterized by the number of random variables, in this case, arising from the discretization of the random excitation. To address this issue, a novel non-intrusive reduced order model (ROM) is proposed in this paper. Accordingly, the complexity due to spatial discretization is first reduced using proper orthogonal decomposition. However, interpolation among response time histories in the resulting reduced solution space is computationally infeasible due to large stochastic dimensionality. An existing ROM developed by the authors is now improved by adopting a long short-term memory (LSTM) network for this interpolation. Furthermore, this adoption required two additional modifications in the mathematical structure of the ROM related to data compression and nonlinear coupling. The proposed methodology can be seamlessly integrated with black-box nonlinear solvers. Through detailed numerical studies on a beam on Winkler foundation and a multi-storied building frame subjected to stationary and non-stationary excitations, the proposed ROM is found to be accurate, efficient, and robust with respect to the frequency band of interest. The ROM has shown reduction of two orders of magnitude in the computational time. Furthermore, the proposed ROM is inherently parallelizable and holds promise to be scaled to other types of nonlinear systems with large stochastic dimensionality.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141540063","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

Effect of balls’ quantities, preload and raceway diameters on rotation accuracy and vibration of rigid rotor-bearing system based on nonlinear dynamic model 基于非线性动力学模型的钢球数量、预紧力和滚道直径对刚性转子轴承系统旋转精度和振动的影响

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-28 DOI: 10.1016/j.ijnonlinmec.2024.104821

Song Deng, Shuran Chen, Mingming Pu

{"title":"Effect of balls’ quantities, preload and raceway diameters on rotation accuracy and vibration of rigid rotor-bearing system based on nonlinear dynamic model","authors":"Song Deng, Shuran Chen, Mingming Pu","doi":"10.1016/j.ijnonlinmec.2024.104821","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104821","url":null,"abstract":"<div><p>The rotation accuracy and vibration of the bearing-rotor system are important evaluation indicators for the working accuracy of machine tools. In this work, an innovative nonlinear dynamic model of the ball bearing-rotor system is first developed by considering the slip, spin and gyroscopic effects of ball and the whirl motion of cage. Secondly, this developed model is validated through experimental methods. On this basis, the coordination of balls' quantities and preload is studied to obtain the desired rotation accuracy and vibration of rotor. The effect of raceway diameters on the rotation accuracy and vibration of rotor is investigated. The influence mechanism of the odd and even number of balls in the left and right bearings on the rotation accuracy and vibration is revealed. The analyzed results illustrate that the reasonable contact load of the ball by adjusting the preload of the bearing-rotor system or the balls’ quantity can prompt good rotation accuracy and low vibration of rotor, here, the maximum contact loads of 65 N should be adopted in the left and right bearings to select the preload. Additionally, odd or even balls assembled in the left and right bearings synchronously are conducive to obtaining a favorable trajectory and rotating accuracy of rotor.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141541206","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 response of the vibro-impact systems subjected to harmonic ground motion under conditions of uncertainty on the gap size 间隙大小不确定条件下振动冲击系统在谐波地面运动中的非线性动态响应

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-28 DOI: 10.1016/j.ijnonlinmec.2024.104816

Domenico Pagano, Giuseppe Perna, Maurizio De Angelis, Ugo Andreaus

{"title":"Nonlinear dynamic response of the vibro-impact systems subjected to harmonic ground motion under conditions of uncertainty on the gap size","authors":"Domenico Pagano, Giuseppe Perna, Maurizio De Angelis, Ugo Andreaus","doi":"10.1016/j.ijnonlinmec.2024.104816","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104816","url":null,"abstract":"<div><p>In isolated structures, the large relative displacements with respect to the base that occur as a result of significant seismic actions can excessively deform and damage the isolation system or can lead to pounding with adjacent structures if the distance between the structures (gap) is not sufficiently large; this can result in local or structural damage and damage to equipment contained in the structure due to increased absolute accelerations. One way to mitigate this damage is to insert appropriate deformable and dissipative devices (bumpers) between adjacent structures. The objective of the work is to evaluate, by numerical analysis, how uncertainties on the gap parameter, initially assumed to be symmetrical and positive, can give rise to nonsymmetrical and negative gaps and can also significantly influence the nonlinear dynamic response of a vibro-impact single-degree-of-freedom system optimally designed and excited with harmonic excitation at the base. The main results obtained showed how the presence of an uncertainty in the gap, modeled through normal probability distributions, is reflected i) on the nonlinear dynamic response of the system with values that lie in frequency-dependent confidence zones, (ii) on the probability distributions of the response quantities (the absolute accelerations and relative displacements of the mass and the deformations and forces in the bumpers), (iii) on the width of the intervals in which the probability distributions of the response turns out to be of normal distributions, (iv) on the link between the gap values and the values obtained from the different response quantities considered.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020746224001811/pdfft?md5=0a506bd91c87858736483ee3eb3167e5&pid=1-s2.0-S0020746224001811-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141605373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Approximate averaged derivative moments and stochastic response of high-DOF quasi-non-integrable Hamiltonian systems under Poisson white noises 泊松白噪声下高自由度准非积分哈密顿系统的近似平均导数矩和随机响应

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-28 DOI: 10.1016/j.ijnonlinmec.2024.104805

Jiaojiao Sun , Yangyang Luo , Lincong Chen , Bo Yan

{"title":"Approximate averaged derivative moments and stochastic response of high-DOF quasi-non-integrable Hamiltonian systems under Poisson white noises","authors":"Jiaojiao Sun , Yangyang Luo , Lincong Chen , Bo Yan","doi":"10.1016/j.ijnonlinmec.2024.104805","DOIUrl":"https://doi.org/10.1016/j.ijnonlinmec.2024.104805","url":null,"abstract":"<div><p>Stochastic response prediction is one of the principal topics in diverse branches of engineering, such as aerospace engineering, mechanical engineering, and vehicle engineering. However, the challenge of addressing high-dimensional partial differential equations or evaluating high-dimensional domain integrals in determining averaged derivative moments has limited the research. This study proposes a method to predict the stochastic response of high-degree-of-freedom (DOF) quasi-non-integrable Hamiltonian systems under Poisson white noises. The original finite DOF system is reduced to a one-dimensional one governing the Hamiltonian by applying the stochastic averaging method, and the associated reduced generalized Fokker–Planck–Kolmogorov (GFPK) equation is derived. Then, the two-step generalized elliptical coordinate transformation is extended to evaluate averaged derivative moments that are the key to obtaining the stationary probability density function (SPDF) for probabilistic information prediction. Moreover, the perturbation method is introduced to address the high-order GFPK equation. Finally, an 8-DOF strongly nonlinear system under purely additive Poisson white noises is given as an example to highlight the accuracy of the proposed method. Results from the proposed method show good agreement with those from Monte Carlo simulations, which indicates that the proposed method can be applied to assess the response of high-DOF quasi-non-integrable Hamiltonian systems under Poisson white noises. In addition, if the potential energy of an arbitrary finite <span><math><mi>n</mi></math></span>-DOF system is the same form as that in Appendix B, pertinent high-dimensional domain integrals are converted into explicit expressions when <span><math><mi>n</mi></math></span> is even.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141541208","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

Delay-independent stability of a tri-stable energy harvesting system with time-delayed feedback control 具有延时反馈控制的三稳能量采集系统的延时稳定性

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-06-26 DOI: 10.1016/j.ijnonlinmec.2024.104823

Chengjia Sun, Yanfei Jin

引用次数: 0