European Journal of Mechanics A-Solids最新文献_第2页

Vibration suppression of suspended cables with three-to-one internal resonances via time-delay feedback 通过延时反馈抑制具有三比一内部共振的悬索的振动

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-10 DOI: 10.1016/j.euromechsol.2024.105487

Jian Peng , Yanan Li , Stefano Lenci , Xiangzhan Yang , Lianhua Wang

{"title":"Vibration suppression of suspended cables with three-to-one internal resonances via time-delay feedback","authors":"Jian Peng , Yanan Li , Stefano Lenci , Xiangzhan Yang , Lianhua Wang","doi":"10.1016/j.euromechsol.2024.105487","DOIUrl":"10.1016/j.euromechsol.2024.105487","url":null,"abstract":"<div><div>Based on the time-delay feedback control, the vibration suppression of suspended cables with three-to-one internal resonances are investigated. Initially, the nonlinear differential equation of motion for a suspended cable under time-delay feedback control is considered, and a discrete model is derived using the Galerkin method. Subsequently, the method of multiple scales is employed to perturbatively solve the discrete time-delay differential equation, determining the modulation equations around the first primary resonance. Steady-state and periodic solutions of the modulation equations are detected numerically. Numerical results indicate that the internal resonance enhances the nonlinear dynamical complexity of the controlled suspended cable. It is observed that the time delay and control gain affect the controlled system: in particular, an increase in control gain leads to a reduction in response amplitude. By adjusting the time delay and control gain, the critical excitation can be altered, an aspect that could be very useful from a practical point of view. This research sheds light on the intricate dynamics of suspended cable and provides a theoretical foundation for designing more effective control strategies in engineering applications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105487"},"PeriodicalIF":4.4,"publicationDate":"2024-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Vibration response of nanobeams subjected to random reactions 受随机反应影响的纳米梁的振动响应

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-09 DOI: 10.1016/j.euromechsol.2024.105489

Vu Hoa Binh , Nguyen Dong Anh , Do Van Thom , Phung Van Minh , Hoang Tien Dung

{"title":"Vibration response of nanobeams subjected to random reactions","authors":"Vu Hoa Binh , Nguyen Dong Anh , Do Van Thom , Phung Van Minh , Hoang Tien Dung","doi":"10.1016/j.euromechsol.2024.105489","DOIUrl":"10.1016/j.euromechsol.2024.105489","url":null,"abstract":"<div><div>Nanobeams composed of materials exhibiting flexoelectric properties have been successfully used in advanced technological equipment, including electronic circuits and very sensitive sensors, owing to their remarkable unique effects. Therefore, it is essential to determine their mechanical behavior as a practical need. This study employs an analytical methodology to provide a precise solution to the vibration issue of nanobeams under random stationary loads. Under such circumstances, the nanobeam is influenced by both the temperature and moisture conditions simultaneously. Additionally, the beam is supported by a viscoelastic foundation that considers both the viscous resistance parameter and the elastic parameter. Analytical formulations are derived by integrating classical beam theory with nonlocal strain gradient theory in order to elucidate the impact of size effects on nanobeams. This research also demonstrates the reliability verification, which clearly validates the accuracy of the calculation formula used in this work. This study examines the impact of material parameters, viscoelastic foundation, temperature, and moisture on the displacement spectrum at the middle and entire length of the beam. The study also explores how the flexoelectric effect decreases the displacement in the nanobeam. Subsequently, we provide scientifically derived findings that have significant relevance for building practical nanobeam specifications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105489"},"PeriodicalIF":4.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Determination of material constants of piezoceramics using genetic algorithm 利用遗传算法确定压电陶瓷的材料常数

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-09 DOI: 10.1016/j.euromechsol.2024.105490

Bo-Yen Sun, Shiou-Yi Chang, Yu-Hsi Huang

{"title":"Determination of material constants of piezoceramics using genetic algorithm","authors":"Bo-Yen Sun, Shiou-Yi Chang, Yu-Hsi Huang","doi":"10.1016/j.euromechsol.2024.105490","DOIUrl":"10.1016/j.euromechsol.2024.105490","url":null,"abstract":"<div><div>This study seeks to accurately determine the piezoelectric material constants of piezoceramic disks from the resonant frequencies of the disks using a genetic algorithm programmed according to the principles of plate theory. Mindlin's plate theory is judged to be most suitable for approximating the relationship between the in-plane and out-of-plane resonant frequencies and the material constants of a disk-shaped piezoceramic thick plate, which was programmed into a genetic algorithm in order to obtain all relevant piezoelectric material constants from measured resonant frequencies of sample piezoceramic disks through inverse calculation. To verify the accuracy of the material constants, finite element method was employed to derive the theoretical resonant frequencies along with the corresponding mode shapes, which were then compared with the actual resonant frequencies measured using amplitude-fluctuation electronic speckle pattern interferometry. The comparison shows that the genetic algorithm can successfully determine all desired material constants of piezoceramic disks from the measured resonant frequencies in a single operation, and that the resonant frequency values modeled using the constants more accurately correspond to the experimentally measured frequencies than those derived from material constants obtained using conventional methods.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105490"},"PeriodicalIF":4.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Controllably ultrawide bandgap of a metamaterial beam based on inertial amplification and magnetorheological elastomer 基于惯性放大和磁流变弹性体的可控超宽带隙超材料光束

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-09 DOI: 10.1016/j.euromechsol.2024.105494

Yu Xue , Biliu Zhou , Jinqiang Li , Wei Zhang

{"title":"Controllably ultrawide bandgap of a metamaterial beam based on inertial amplification and magnetorheological elastomer","authors":"Yu Xue , Biliu Zhou , Jinqiang Li , Wei Zhang","doi":"10.1016/j.euromechsol.2024.105494","DOIUrl":"10.1016/j.euromechsol.2024.105494","url":null,"abstract":"<div><div>This paper presents the design of a metamaterial beam for controllably ultrawide bandgap (36.3Hz–218.6Hz) and low-frequency vibration attenuation, achieved by a lever-based inertial amplification and a variable stiffness of a magnetorheological elastomer (MRE) modulated by an external magnetic field. The metamaterial is formed by periodical mass-lever inertial amplifier and spring-MRE resonators connected to a base beam. The Galerkin method is employed to theoretically investigate the controllably ultrawide tunability of a low-frequency bandgap in terms of the MRE properties, the mass-lever inertial amplification and the geometric nonlinearity conditions. The results obtained are validated through numerical simulations. The study further extends to lightweight design of metamaterials, where the target frequency that depends on controllably ultrawide bandgap is introduced. With the same target frequency of bandgap, the proposed system exhibits a lighter resonator mass than the traditional metamaterials. Finally, a target frequency-based bandgap control strategy is developed, enabling real-time tunability of the bandgap within a low-frequency wideband range without changing the mass of the resonator or reconstructing the structure. Compared to typical \"mass-spring\" metamaterials, the proposed system shows superiority in achieving ultrawide bandgaps. This metamaterial offers a promising solution for creating controllably ultrawide vibration-attenuating structures, making it highly suitable for practical applications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105494"},"PeriodicalIF":4.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 combined resonance of magneto-electro-elastic plates 磁电弹性板的非线性组合共振

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-08 DOI: 10.1016/j.euromechsol.2024.105492

Lei-Lei Gan, Gui-Lin She

{"title":"Nonlinear combined resonance of magneto-electro-elastic plates","authors":"Lei-Lei Gan, Gui-Lin She","doi":"10.1016/j.euromechsol.2024.105492","DOIUrl":"10.1016/j.euromechsol.2024.105492","url":null,"abstract":"<div><div>The existing articles on the nonlinear resonances of magneto-electro-elastic (MEE) structures are mainly devoted to the parametric resonance and primary resonance, neglecting the coupling effect between parametric and forced excitations. To reveal this issue, the coupled longitudinal and transverse excitations are considered to investigate the combined resonance of MEE plates, in which the simply supported ends is considered. The expressions of magnetic-, electric- and displacement-fields are determined using the Maxwell's equation and first order shear deformation theory (FSDT). Applying the Galerkin method, the nonlinear ordinary differential equations are derived. The combined resonance problem of MEE plates with simply supported ends is solved by developing the method of varying amplitude (MVA). And the resonance trajectory is depicted by amplitude-frequency diagram in the follow-up analysis, in which the complicated dynamical phenomena with jump, hysteresis and multi-stable solution can be observed. To reveal the dynamic mechanism, comprehensive numerical analyses including electric potential, magnetic potential, excitations, temperature variation and other factors are conducted, the bifurcation and chaotic dynamic behaviors are also analyzed. The results elucidate that these parameters under discussion play significant roles.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105492"},"PeriodicalIF":4.4,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 simultaneous resonance behaviors of a shallow arch model under the moving load 移动荷载下浅拱模型的非线性同步共振行为

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-08 DOI: 10.1016/j.euromechsol.2024.105493

Xiaoyang Su , Houjun Kang , Wei Zhang , Yunyue Cong , Yuewu Wang , Chaoran Liu

{"title":"Nonlinear simultaneous resonance behaviors of a shallow arch model under the moving load","authors":"Xiaoyang Su , Houjun Kang , Wei Zhang , Yunyue Cong , Yuewu Wang , Chaoran Liu","doi":"10.1016/j.euromechsol.2024.105493","DOIUrl":"10.1016/j.euromechsol.2024.105493","url":null,"abstract":"<div><div>By applying a moving load with the uniform velocity, this paper investigates nonlinear behaviors of a shallow arch model allowing for describing the effects of the initial configuration of the structure. Two different cases are taken into account, namely, simultaneous primary resonances of the first and third modes; simultaneous resonances of the first mode for two-term excitations. First, nonlinear ordinary differential equations (ODEs) of the shallow arch are derived by using Galerkin method. Through introducing different time scales, the ODEs are solved based on the widely utilized method of multiple time scales (MMTS). In this way, the modulation equations for the two cases are derived, on the basis of which the steady state frequency- and force-response curves are obtained. Meanwhile, phase portraits, power spectra and two-parameter bifurcation diagram are also given to assist in analysis on nonlinear behaviors. The results show that the large vibration of the shallow arch under the moving load may occur and primary resonance peaks of the different modes are located in distinct positions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105493"},"PeriodicalIF":4.4,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Understanding adhesive sliding nanocontact mechanics in an exponentially graded coating–substrate structure 了解指数分级涂层-基底结构中的粘合滑动纳米接触力学原理

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-07 DOI: 10.1016/j.euromechsol.2024.105482

Youxue Ban , Jie Yan , Zhiqiang Li , Changwen Mi

{"title":"Understanding adhesive sliding nanocontact mechanics in an exponentially graded coating–substrate structure","authors":"Youxue Ban , Jie Yan , Zhiqiang Li , Changwen Mi","doi":"10.1016/j.euromechsol.2024.105482","DOIUrl":"10.1016/j.euromechsol.2024.105482","url":null,"abstract":"<div><div>The objective of this study is to investigate the frictionally adhesive nanocontact characteristics between a sliding rigid cylinder and an exponentially graded coating–substrate structure. Adhesive forces are modeled using the Maugis–Dugdale adhesive theory, while the Steigmann–Ogden surface mechanical theory describes the surface effects of the graded coating. Within the contact region, normal and tangential tractions adhere to the extended Amontons’ friction law. The governing equations and boundary conditions of the nanocontact problem are reformulated into Fredholm integral equations, which are solved numerically using Gauss–Jacobi quadratures and a self-designed iterative algorithm. Validation against existing literature results demonstrates the accuracy and reliability of the proposed solution method and numerical algorithm. Extensive parametric studies are conducted to investigate the effects of various parameters, including surface material properties, coefficient of friction, Tabor’s parameter, inhomogeneity index of the exponentially graded coating, and external loads. Results reveal that sliding friction significantly influences adhesive nanocontact, affecting nanocontact boundaries, contact traction distribution, and adhesive region boundaries. Additionally, surface effects play a crucial role, leading to smaller nanocontact length and maximum pressure but larger adhesive zone. Furthermore, the interplay between sliding friction, surface effects, and adhesion is underscored, emphasizing the importance of considering these factors in the analysis of sliding nanocontact problems involving graded materials. Ultimately, this work provides a comprehensive solution framework for addressing such complex nanocontact scenarios, offering insights valuable to the field of materials science and engineering.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105482"},"PeriodicalIF":4.4,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A graded elastic modulus concept to eliminate stress or strain energy density singularity at sharp notches and cracks, with consequent elimination of size-scale effect on strength 分级弹性模量概念可消除尖锐缺口和裂缝处的应力或应变能量密度奇异性，从而消除尺寸尺度对强度的影响

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-07 DOI: 10.1016/j.euromechsol.2024.105477

M. Ciavarella

{"title":"A graded elastic modulus concept to eliminate stress or strain energy density singularity at sharp notches and cracks, with consequent elimination of size-scale effect on strength","authors":"M. Ciavarella","doi":"10.1016/j.euromechsol.2024.105477","DOIUrl":"10.1016/j.euromechsol.2024.105477","url":null,"abstract":"<div><div>It has been recently suggested by the author that in the classical problem of a sharp wedge or crack loaded in plane (mode I and/or mode II), the stress singularity can be removed by grading the elastic properties of the underlying material from the notch tip by using a power law, <span><math><mrow><mi>E</mi><mo>∼</mo><msup><mrow><mi>r</mi></mrow><mrow><mi>β</mi></mrow></msup></mrow></math></span>. While the treatment is extended to the case of mode III (antiplane shear) which permits closed form results, we also discuss two ways to deal with the likely effect of material’s grading on strength. In one, already explored in the previous paper, the strength is a power law of the modulus, and we suggest an “optimal” design by keeping the dominant stress constantly equal to the strength. In a second method, we propose to cancel the singularity in the strain energy density, which requires a much <em>stronger</em> grading, and we also possibly take into account that the critical strain energy density is a power law of the modulus. Noticing that only in the presence of a singularity a length scale can be defined experimentally by testing a very large notch and a very small one, according to the Theory of Critical Distances (TCD), the effect of cancelling singularity also implies independence on size/scale and constant strength. It is concluded that the technique is much more powerful than drilling a hole or rounding the tip of the notch/crack. Moreover, if a “smart” material could be designed to damage itself as to reduce its modulus when near a high stress concentration according to our prescriptions, it would naturally self-heal, opening up interesting applications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105477"},"PeriodicalIF":4.4,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Slip-mediated axisymmetric bending of multilayered structures with different interfaces: Analytical solutions and design guidelines 具有不同界面的多层结构的滑移介导轴对称弯曲：分析解决方案和设计指南

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-04 DOI: 10.1016/j.euromechsol.2024.105488

Xiangtian Shen, Yueguang Wei

引用次数: 0

Efficient layerwise multiphysics spectral element model for delaminated composite strips with PWAS transducers 带 PWAS 传感器的分层复合材料带材高效多物理场谱元模型

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-11-04 DOI: 10.1016/j.euromechsol.2024.105479

Mayank Jain, Santosh Kapuria

{"title":"Efficient layerwise multiphysics spectral element model for delaminated composite strips with PWAS transducers","authors":"Mayank Jain, Santosh Kapuria","doi":"10.1016/j.euromechsol.2024.105479","DOIUrl":"10.1016/j.euromechsol.2024.105479","url":null,"abstract":"<div><div>Efficient structural element-based models are essential for fast simulations of wave propagation in composite structures for model-based and physics-informed data-driven structural health monitoring. This article introduces the first efficient multiphysics time-domain spectral structural element for wave propagation analysis of beam and panel-type composite structures with piezoelectric transducers (patch or full layers) containing delaminations. A general framework is presented to model multiple delaminations and transducer patches located arbitrarily. The intact host and patch transducer-bonded laminates and sub-laminates between delaminations are modelled separately using an electromechanically coupled efficient layerwise zigzag theory (ZIGT) for kinematics and a piecewise quadratic variation for the electric potential across piezoelectric layers. The high-order spectral element (SE) features a virtual electric node to model equipotential surfaces of piezoelectric transducers apart from the usual physical nodes having mechanical and internal electric degrees of freedom. A hybrid point-least squares continuity approach is employed to maintain continuity at the intersections of delaminated sub-laminates or the patch-bonded laminate with the host laminate. The model’s performance in capturing electroelastic waves’ interaction with delamination is examined with reference to the conventional finite element (FE) solution based on the ZIGT, continuum-based FE solutions, and the SE solution based on a non-layerwise version of the laminate theory. Finally, the model is used to examine the impact of interfacial location and size of delaminations on wave propagation behaviour.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"109 ","pages":"Article 105479"},"PeriodicalIF":4.4,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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