International Journal of Non-Linear Mechanics最新文献_第8页

Hopf-Hopf bifurcation, period n solutions, slow-fast phenomena, and chimera of an optoelectronic reservoir computing system with single delayed feedback loop 具有单延迟反馈回路的光电存储计算系统的霍普夫-霍普夫分岔、周期 n 解、慢-快现象和嵌合体

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-14 DOI: 10.1016/j.ijnonlinmec.2024.104839

Lijun Pei, Muhammad Aiyaz

{"title":"Hopf-Hopf bifurcation, period n solutions, slow-fast phenomena, and chimera of an optoelectronic reservoir computing system with single delayed feedback loop","authors":"Lijun Pei, Muhammad Aiyaz","doi":"10.1016/j.ijnonlinmec.2024.104839","DOIUrl":"10.1016/j.ijnonlinmec.2024.104839","url":null,"abstract":"<div><p>In this paper, we investigate the co-dimension two bifurcations and complicated dynamics of an optoelectronic reservoir computing (RC) system with single delayed feedback loop. We focuses primarily on its underlying system’s Hopf-Hopf bifurcation. Firstly, we apply DDE-BIFTOOL built in Matlab to sketch the bifurcation diagrams with respect to two bifurcation parameters, namely feedback strength <span><math><mrow><mi>β</mi></mrow></math></span> and time delay <span><math><mrow><mi>τ</mi></mrow></math></span>, and find the existence of the Hopf-Hopf bifurcation points. Then, using the multiple scales method, we obtain their normal forms, and using the normal form method, we unfold and classify their local dynamics. Then numerical simulations are conducted to verify these results. We discover rich dynamical behaviors of the system in specific regions. Besides, other complicated dynamics, such as fast-slow phenomena, Period <span><math><mrow><mi>n</mi></mrow></math></span> solutions, and chimera, are found in the system. All these rich dynamical phenomena can provide excellent performance potentially for this optoelectronic reservoir computing system with single delayed feedback loop.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104839"},"PeriodicalIF":2.8,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142048924","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

Novel approach for precise identification of vibration frequencies and damping ratios from free vibration decay time histories data of nonlinear single degree of freedom models 从非线性单自由度模型的自由振动衰减时间历程数据中精确识别振动频率和阻尼比的新方法

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-10 DOI: 10.1016/j.ijnonlinmec.2024.104867

Fernando M.A. Nogueira, Flávio S. Barbosa

{"title":"Novel approach for precise identification of vibration frequencies and damping ratios from free vibration decay time histories data of nonlinear single degree of freedom models","authors":"Fernando M.A. Nogueira, Flávio S. Barbosa","doi":"10.1016/j.ijnonlinmec.2024.104867","DOIUrl":"10.1016/j.ijnonlinmec.2024.104867","url":null,"abstract":"<div><p>The significance of Single Degree of Freedom (SDOF) systems lies in their ability to serve as foundational elements for modeling more complex dynamic problems. By capturing essential dynamic behavior with simplicity, SDOF models enable efficient analysis and comprehension of complex systems, justifying the investigation of these simplified models. In nonlinear scenarios, SDOF models result in time series data wherein vibration frequencies vary over time. Classically, time–frequency or Hilbert transforms applied to temporal responses are frequently used to identify the evolution of frequencies and damping ratio over time. These techniques provide results that reflect the spectrum composition achieved for the analyzed time window and present difficulties in precisely determining the magnitude and the exact instant of an effective frequency or damping ratio variation. In this sense, this work introduces a new methodology capable of accurately identifying the vibration frequency as a function of time, i.e., the instantaneous frequency, along with the instantaneous damping ratio. At this initial stage, the focus is on validating the methodology by comparing its performance with the classical approach based on time–frequency transforms. The initial results obtained from synthetic free vibration decay responses of SDOF nonlinear models highlight the accuracy of our findings compared to those obtained from time–frequency transforms. The presented methodology holds promise for further advancement, with potential impacts including structural damage identification, modal identification and nonlinear dynamic analysis.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104867"},"PeriodicalIF":2.8,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141992740","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 on dynamic modelling and nonlinear vibration behaviors of composite structures: A case of cable-beam model 复合材料结构的动态建模和非线性振动行为研究：以索梁模型为例

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-08 DOI: 10.1016/j.ijnonlinmec.2024.104871

Houjun Kang , Siyi Meng , Yunyue Cong , Tieding Guo , Xiaoyang Su

引用次数: 0

Using differential-algebraic equations and natural coordinates for modelling and simulating cable-driven parallel robots 利用微分代数方程和自然坐标对电缆驱动并联机器人进行建模和仿真

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-08 DOI: 10.1016/j.ijnonlinmec.2024.104868

Giulio Piva, Dario Richiedei, Alberto Trevisani

{"title":"Using differential-algebraic equations and natural coordinates for modelling and simulating cable-driven parallel robots","authors":"Giulio Piva, Dario Richiedei, Alberto Trevisani","doi":"10.1016/j.ijnonlinmec.2024.104868","DOIUrl":"10.1016/j.ijnonlinmec.2024.104868","url":null,"abstract":"<div><p>This paper proposes a comprehensive approach to the dynamic modelling of Cable-Driven Parallel Robots (CDPRs) by means of Differential-Algebraic Equations (DAEs). CDPRs are usually modelled through a minimal set of Ordinary Differential Equations (ODEs), often by making some simplification or just focusing on the unconstrained platform/end-effector dynamics. The alternative use of redundant DAEs provides several benefits since several non-ideal properties and peculiar operations of CDPRs can be easily and accurately modelled. To provide a comprehensive modelling frame, the typical components of a CDPR with rigid cables are here discussed and modelled by exploiting the concept of DAEs, which use redundant coordinates and embed kinematic constraints in the algebraic part of the equations. Through such advantageous features, it is possible to model swivelling guiding pulleys with non-negligible dimensions and mass. The use of rheonomous constraints is proposed as well, to represent in a simple way the effect of the movable exit-points, that are widely adopted in reconfigurable CDPRs. Finally, the use of Natural Coordinates is proposed for representing spatial end-effectors and modelling some challenging operations such as its overturning or the picking of heavy objects. Numerical simulations and the comparison with the results provided by a benchmark software are shown to demonstrate the accuracy and the computational efficiency of the proposed approach.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104868"},"PeriodicalIF":2.8,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020746224002336/pdfft?md5=e943ac2797ee8f3b5c103835a2b6acba&pid=1-s2.0-S0020746224002336-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098920","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

Transition from planar to 3D motion in a model of nonlinear liquid sloshing 非线性液体荡动模型中从平面运动到三维运动的过渡

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-08 DOI: 10.1016/j.ijnonlinmec.2024.104872

Y. Hoffman , O. Katsir , U. Tamir , E. Shimshi , O.V. Gendelman

{"title":"Transition from planar to 3D motion in a model of nonlinear liquid sloshing","authors":"Y. Hoffman , O. Katsir , U. Tamir , E. Shimshi , O.V. Gendelman","doi":"10.1016/j.ijnonlinmec.2024.104872","DOIUrl":"10.1016/j.ijnonlinmec.2024.104872","url":null,"abstract":"<div><p>A transition from two-dimensional to three-dimensional liquid sloshing in a symmetric vessel under external periodic forcing is considered. The three-dimensional response is commonly associated with well-ordered swirling, although can exhibit also a chaotic behaviour. Such transition is well-known in the vicinity of the primary 1:1 resonance between the lowest eigenfrequency of the sloshing mass, and the frequency of the external force. The transition pattern, i.e., the dependence of the transition threshold on amplitude and frequency of the external forcing, demonstrates remarkable qualitative similarity for very different physical settings. This observation is illustrated by comparing the results of our own experiments concerning the sloshing in relatively soft cylindrical shell, to earlier results with rigid tanks of different geometry. The aforementioned similarity allows one to assume that this transition can be described by means of low-order phenomenological dynamical model with universal general structure. The parameters of such model should depend on the specific physical setting of the sloshing system. The suggested model comprises a two-dimensional damped nonlinear oscillator with unidirectional forcing. The transition to the swirling in the original sloshing system is associated with the loss of stability of the one-dimensional response in the reduced model. Analysis by means of a multiple-scale expansion allows mapping the transition threshold on the plane of parameters for given initial conditions. One reveals that in order to match the available numeric and experimental results; a polynomial model with combined softening and hardening is required. The results are verified by means of direct numeric simulations of the complete reduced-order model; additional response patterns are revealed.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104872"},"PeriodicalIF":2.8,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141978845","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 improved path integration method for the stochastic soft-impact systems 随机软冲击系统的改进路径积分法

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-08 DOI: 10.1016/j.ijnonlinmec.2024.104866

Liang Wang, Yu Wen, Jiahui Peng, Zhonghua Zhang, Wei Xu

{"title":"An improved path integration method for the stochastic soft-impact systems","authors":"Liang Wang, Yu Wen, Jiahui Peng, Zhonghua Zhang, Wei Xu","doi":"10.1016/j.ijnonlinmec.2024.104866","DOIUrl":"10.1016/j.ijnonlinmec.2024.104866","url":null,"abstract":"<div><p>This paper presents an improved path integration method for a soft-impact system under stochastic excitation, which focuses on the response of the system on the impact surface. The system involves complex impact processes, including contact, deformation, recovery, and disengagement. To address the technical challenges posed by the system discontinuity at the moment of impact, we establish a mapping relation between impact events to solve the system response. Considering that the non-smooth moment of such systems exists only at the moment of contact with the impact surface, we chose to select the impact surface as a Poincaré cross-section. Two independent mappings were established to describe the transition of the oscillator from leaving the obstacle to the next contact with the obstacle, and from contacting the obstacle to leaving the obstacle. These two consecutive mappings were integrated into the plane to form a unified mapping. This method was employed to investigate the response probability density function of the system for autonomous and non-autonomous systems, respectively. The effectiveness of the methodology was validated by the use of Monte Carlo simulations, in addition to the discovery of the stochastic P-bifurcation phenomenon.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104866"},"PeriodicalIF":2.8,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141978846","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

General framework to implement isotropic and anisotropic hyperelastic biomaterials into finite element method 在有限元法中应用各向同性和各向异性超弹性生物材料的总体框架

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-06 DOI: 10.1016/j.ijnonlinmec.2024.104864

Yanjun Tang, Jingtian Kang

{"title":"General framework to implement isotropic and anisotropic hyperelastic biomaterials into finite element method","authors":"Yanjun Tang, Jingtian Kang","doi":"10.1016/j.ijnonlinmec.2024.104864","DOIUrl":"10.1016/j.ijnonlinmec.2024.104864","url":null,"abstract":"<div><p>Hyperelastic models are extensively employed in the simulation of biological tissues under large deformation. While classical hyperelastic models are incorporated into certain finite element packages, new hyperelastic models for both isotropic and anisotropic materials are emerging in recent years for various soft materials. Fortunately, most hyperelastic models are formulated based on strain invariants, which provides a feasible way to directly implement these newly developed models into the numerical simulation. In this paper, we present a general framework for employing strain-invariant-based hyperelastic models in finite element analysis. We derive the general formulation for the Cauchy stress and elasticity tensor of both isotropic and anisotropic materials. By substituting the strain–energy density into these general forms, we are able to directly implement various hyperelastic models, such as the <em>Fung–Demiray</em> model and the <em>Lopez-Pamies</em> model for isotropic materials, and the <em>Gasser–Ogden–Holzapfel</em> model, the <em>Merodio-Ogden</em> model, and the <em>Horgan-Saccomandi</em> model for anisotropic materials, within the ABAQUS user-defined material subroutine, offering a numerical approach to implement materials not available through the built-in material models. To demonstrate the feasibility of our approach, we utilize these subroutines to compute several classic examples related to both homogeneous and inhomogeneous problems. The good agreement between the obtained results and the analytical or experimental solutions confirms the validity of developing these models by the proposed framework. The general framework and results presented in this study are useful for fast implementing newly developed hyperelastic models and are helpful to the finite element simulation of biological tissues.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104864"},"PeriodicalIF":2.8,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935364","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

Stress-fractional model for clay based on yielding and hardening rules considering thermomechanical restriction 基于屈服和硬化规则的粘土应力-分数模型，考虑热力学限制因素

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-06 DOI: 10.1016/j.ijnonlinmec.2024.104870

Yifei Sun, Xingbo Huang, Chenglong Gu

引用次数: 0

Nonlinear micromorphic Timoshenko beam modeling and vibration analysis of microstructured beams 非线性微形态季莫申科梁建模和微结构梁振动分析

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-06 DOI: 10.1016/j.ijnonlinmec.2024.104861

Mohammad Shojaee , Hassan Mohammadi , Oliver Weeger

{"title":"Nonlinear micromorphic Timoshenko beam modeling and vibration analysis of microstructured beams","authors":"Mohammad Shojaee , Hassan Mohammadi , Oliver Weeger","doi":"10.1016/j.ijnonlinmec.2024.104861","DOIUrl":"10.1016/j.ijnonlinmec.2024.104861","url":null,"abstract":"<div><p>Generalized continuum theories can describe the mechanical behavior of microstructured materials more accurately than the classical Cauchy theory. In this manuscript, a micromorphic beam theory is developed for the efficient multiscale analysis of the linear and nonlinear deformation and vibration behavior of metamaterial beams. The proposed approach extends the conventional nonlinear Timoshenko beam theory by including three additional independent degrees of freedom, which allow to accurately capture four distinct microstrains for stretch, bending, and two types of shear behavior at the microscale level. The novel beam model is able to capture size effects and can accurately describe beams with only few unit cells through the thickness direction. However, consisting of 3 macro and 3 micro degrees of freedom, it is much more efficient than 2D or 3D micromorphic continuum models. It is demonstrated that the micromorphic material parameters can be identified from comparison studies with representative volume elements of the microstructure. For the numerical discretization of the governing equations for static deformations as well as vibrations, the differential quadrature method is employed here. The presented numerical examples show the accuracy of the method in obtaining deflections, linear eigenfrequencies, and nonlinear frequency responses for metamaterial beams with weakly separated macro and micro scales.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104861"},"PeriodicalIF":2.8,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020746224002269/pdfft?md5=0fe04174f9bebbfff88fa81904facc84&pid=1-s2.0-S0020746224002269-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935365","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

Solutions to a two-phase mass flow model with generalized drag 具有广义阻力的两相质量流模型的解决方案

IF 2.8 3区工程技术

International Journal of Non-Linear Mechanics Pub Date : 2024-08-03 DOI: 10.1016/j.ijnonlinmec.2024.104860

Sayonita Ghosh Hajra , Santosh Kandel , Shiva P. Pudasaini

{"title":"Solutions to a two-phase mass flow model with generalized drag","authors":"Sayonita Ghosh Hajra , Santosh Kandel , Shiva P. Pudasaini","doi":"10.1016/j.ijnonlinmec.2024.104860","DOIUrl":"10.1016/j.ijnonlinmec.2024.104860","url":null,"abstract":"<div><p>Drag plays a dominant role in the interfacial momentum exchange in mixture mass flows. In this study, we examine a general two-phase mass flow model formulated by Pudasaini <span><span>[1]</span></span>, which incorporates drag. This model describes the mass flow comprising a mixture of solid particles and viscous fluid moving downhill under the influence of gravity. We construct explicit, analytical, and numerical solutions to the model using the Lie symmetry method. These new solutions disclose the role of generalized drag in the dynamics of both solid particles and viscous fluid. The solutions show that solid and fluid phases undergo nonlinear evolution in a coupled manner. Additionally, the solutions demonstrate that increased drag results in a tighter binding between solid and fluid components. We also analyze the role of pressure gradients. The solutions reveal that when solid pressure dominates fluid pressure, solid velocity increases faster than fluid velocity. These findings align with our expectations, emphasizing the importance of analytical solution techniques in understanding the complex process of mixture mass transport in mountain slopes and valleys, thereby enhancing our understanding.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"167 ","pages":"Article 104860"},"PeriodicalIF":2.8,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020746224002257/pdfft?md5=1a08785fa8ccbccf98e567e047aaf50c&pid=1-s2.0-S0020746224002257-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142021489","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