Acta Mechanica最新文献

Chaotic and nonlinear dynamic response of hybrid nanocomposite graphene origami-enabled auxetic cylindrical shell 杂化纳米复合材料石墨烯折纸辅助圆柱壳的混沌非线性动力响应

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-28 DOI: 10.1007/s00707-025-04320-x

Farzad Ebrahimi, Mohammad Mahinzare, Abbas Rastgoo, Seyede Zahra Mirsadoghi

{"title":"Chaotic and nonlinear dynamic response of hybrid nanocomposite graphene origami-enabled auxetic cylindrical shell","authors":"Farzad Ebrahimi, Mohammad Mahinzare, Abbas Rastgoo, Seyede Zahra Mirsadoghi","doi":"10.1007/s00707-025-04320-x","DOIUrl":"10.1007/s00707-025-04320-x","url":null,"abstract":"<div><p>This research offers a novel mechanical system made up of a cylinder-shaped shell with a unique structure, a hybrid nanocomposite sandwich cylindrical shell with an auxetic nanocomposite origami core. A hybrid sandwich shell exposed to preloading in the axial direction and an external excitation force. Auxetic origami shell dynamics are investigated with the Galerkin’s approach and the Runge–Kutta technique; the equations are the result of Donnell’s modified shell theory. The chaotic and nonlinear dynamic response of the hybrid auxetic sandwich shells was observed. Numerous parametric examples are provided and explored to further illustrate the effect of these factors on the three-layer spherical shell’s oscillation. The suggested approach is compared to previous efforts in the literature to ensure the correctness and precision of the numerical findings. This article aims to further investigate the performance and behavior of these shells reinforced with auxetic cores, considering the effect of porosity by examining vibrations, nonlinear dynamic analysis, and the effect of the chaos phenomenon, so this approach will enable us to utilize these enhanced structures in practical and industrial applications while improving these characteristics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3187 - 3210"},"PeriodicalIF":2.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930067","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 vibrations of conductive beams exposed to magnetic traction forces and eddy currents 导电梁在磁力和涡流作用下的非线性振动

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-27 DOI: 10.1007/s00707-025-04281-1

Anyuan Yang, Yuefeng Zhu

{"title":"Nonlinear vibrations of conductive beams exposed to magnetic traction forces and eddy currents","authors":"Anyuan Yang, Yuefeng Zhu","doi":"10.1007/s00707-025-04281-1","DOIUrl":"10.1007/s00707-025-04281-1","url":null,"abstract":"<div><p>This study explores the nonlinear vibration behavior of conductive beams influenced by magnetic traction forces and eddy currents. Novel relationships for electromagnetic interaction forces with ferromagnetic materials are derived from Maxwell’s equations and Lorentz forces. By employing the Euler–Bernoulli beam theory and the von Karman theory of large deformations, nonlinear differential governing equations are formulated. Utilizing the Galerkin method, these equations are discretized and analytically solved via the variational iteration method. Traditional perturbation methods fail due to the large coefficients and heterogeneity of the nonlinear equations, necessitating the introduction of a method of successive modifications for analytical solutions. The investigation examines the impact of various parameters on beam vibration characteristics, including time response, frequency response, and instantaneous frequency. Numerical results demonstrate that increasing magnetic field intensity leads to a reduction in oscillation amplitude, with stabilization times of 50.6 s for 2 T and 23.6 s for 4 T. Furthermore, the oscillation frequency of the system reaches saturation at 9.87 kHz under the two values of field intensity after 50 s and 20 s, respectively. Chaotic behavior, period-2, and period-3 motions can be realized under various magnetic field intensities, further confirmed by the self-similarity of Poincaré characteristic of chaotic systems. That would provide certain insights into the dynamic response of conductive beams under electromagnetic force and nonlinear damping caused by Lorentz forces.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2803 - 2820"},"PeriodicalIF":2.3,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930012","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 initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure 初始应力和非均匀性对非均匀复合材料结构中Love波传播的影响

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-26 DOI: 10.1007/s00707-025-04324-7

Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, Sumit Kumar Vishwakarma

引用次数: 0

Analytical solutions for the FGM hollow cylinder and spherical shell with generalized power-exponential property in a uniform magnetic field 均匀磁场下具有广义幂指数性质的FGM空心圆柱体和球壳的解析解

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-26 DOI: 10.1007/s00707-025-04318-5

Fei Dong, Yongqiang Ye, Jun Xie, Wenshuai Wang, Pengpeng Shi

{"title":"Analytical solutions for the FGM hollow cylinder and spherical shell with generalized power-exponential property in a uniform magnetic field","authors":"Fei Dong, Yongqiang Ye, Jun Xie, Wenshuai Wang, Pengpeng Shi","doi":"10.1007/s00707-025-04318-5","DOIUrl":"10.1007/s00707-025-04318-5","url":null,"abstract":"<div><p>Mechanical analyses of functionally graded materials (FGMs) are essential for accurately predicting structural performance and ensuring the reliability of FGM-based components. In this study, a unified form of the fundamental equations governing the behavior of FGM hollow cylinder and spherical shell is derived. A more comprehensive gradient model based on the generalized power-exponential function is developed to describe the variation of Young's modulus and magnetic permeability along the material's thickness. Moreover, through the selection of suitable parameters, this model can be reduced to the classical exponential and power-law gradient models. By solving the hypergeometric ordinary differential equations, general solutions for displacement and stress are obtained. Considering the six different combinations of displacement-stress boundary conditions, the analytical solutions for the mechanical response of FGM structures are derived under the combined influences of the magnetic field, external pressure, and a Winkler elastic foundation. The correctness of the proposed solution is validated by comparing it with existing analytical solutions for classical exponential and power-law FGM structures, which are special cases of the present model. Through detailed case studies, the research investigates the effects of various graded parameters, elastic foundation stiffness, and magnetic field strength on the displacements and stresses of the hollow cylinder and the spherical shell. The innovation of this study lies in proposing a more general gradient material model that can accurately describe the non-uniform variation of material properties. The findings provide valuable insights that can guide the optimal design of FGM structures using the proposed comprehensive gradient model.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3135 - 3185"},"PeriodicalIF":2.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930179","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

Analysis of traveling wave vibration of GNPs-reinforced bi-directional functionally graded rotating joined cylindrical–conical–cylindrical shells gnps增强双向功能梯度旋转圆柱-圆锥-圆柱连接壳行波振动分析

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-25 DOI: 10.1007/s00707-025-04309-6

Runhao Wan, Wenguang Liu, Long Chen, Lei Pang

{"title":"Analysis of traveling wave vibration of GNPs-reinforced bi-directional functionally graded rotating joined cylindrical–conical–cylindrical shells","authors":"Runhao Wan, Wenguang Liu, Long Chen, Lei Pang","doi":"10.1007/s00707-025-04309-6","DOIUrl":"10.1007/s00707-025-04309-6","url":null,"abstract":"<div><p>This article systematically examines the traveling wave vibration characteristics of graphene nanoplatelets (GNPs) reinforced bi-directional functionally graded rotating joined cylindrical–conical–cylindrical (JCCC) shells. Initially, combined with the Donnell thin shell theory and the Halpin–Tsai model, the energy equation of the functionally graded materials (FGMs) JCCC shells is derived. Subsequently, Chebyshev polynomials are utilized to express the displacement function, and the modal frequency equation of the shells is established using the Rayleigh–Ritz method. Finally, the accuracy of the theoretical model is validated through the utilization of case studies, and parameter studies are conducted in the end. The results indicate that the gradient exponent in the thickness direction predominantly influences the vibration characteristics. The FG-X distribution of GNPs has the most significant effect on the JCCC shells. The rigidity of the JCCC shells decreases with an increase in the semi cone angle. As porosity increases, the total mass fraction and surface area of GNPs exhibit a more effective reinforcing effect. As the temperature increases, the stiffness of the structure decreases. The intrinsic frequencies of the structure increase almost linearly with increase in thickness.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3035 - 3053"},"PeriodicalIF":2.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930171","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

Interpretable data-driven turbulence modeling for separated flows using symbolic regression with unit constraints 使用带有单元约束的符号回归的分离流的可解释数据驱动湍流建模

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-21 DOI: 10.1007/s00707-025-04325-6

Boqian Zhang, Juanmian Lei

{"title":"Interpretable data-driven turbulence modeling for separated flows using symbolic regression with unit constraints","authors":"Boqian Zhang, Juanmian Lei","doi":"10.1007/s00707-025-04325-6","DOIUrl":"10.1007/s00707-025-04325-6","url":null,"abstract":"<div><p>Machine learning techniques have been applied to enhance turbulence modeling in recent years. However, the “black box” nature of most machine learning techniques poses significant interpretability challenges in improving turbulence models. This paper introduces a novel unit-constrained turbulence modeling framework using symbolic regression to overcome these challenges. The framework amends the constitutive equation of linear eddy viscosity models (LEVMs) by establishing explicit equations between the Reynolds stress deviation and mean flow quantities, thereby improving the LEVM model’s predictive capability for large separated turbulence. Unit consistency constraints are applied to the symbolic expressions to ensure physical realizability. The effectiveness of the framework and the generalization capability of the learned model are demonstrated through its application to the separated flow over 2D periodic hills and a backward-facing step. Compared to the standard <i>k-ε</i> model, the learned model shows significantly improved predictive accuracy for anisotropic Reynolds stresses, velocity and skin friction, while exhibiting promising generalization capabilities across various scenarios.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3295 - 3320"},"PeriodicalIF":2.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929991","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

Vibration behavior of a thick double-curved sandwich panel with auxetic core and carbon nanotube reinforced composite based on TSDDCT and NSGT 基于TSDDCT和NSGT的碳纳米管增强复合材料-含氧芯厚双曲夹层板振动特性研究

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-20 DOI: 10.1007/s00707-025-04302-z

Mohammad Ali Mohammadimehr, Abbas Loghman, Saeed Amir, Mehdi Mohammadimehr, Ehsan Arshid

{"title":"Vibration behavior of a thick double-curved sandwich panel with auxetic core and carbon nanotube reinforced composite based on TSDDCT and NSGT","authors":"Mohammad Ali Mohammadimehr, Abbas Loghman, Saeed Amir, Mehdi Mohammadimehr, Ehsan Arshid","doi":"10.1007/s00707-025-04302-z","DOIUrl":"10.1007/s00707-025-04302-z","url":null,"abstract":"<div><p>One of the advantages of sandwich structures is the high strength ratio to weight; thus, they are used in various industries such as automobile manufacturing, shipping, airplanes, spacecraft, rockets, railways, and bridges. The present study investigates the vibration behavior of a thick double-curved sandwich panel with an auxetic core and carbon nanotube reinforced composite in face sheet layers based on nonlocal strain gradient theory. In this research, the nano-structural dependence of nonlocal vibration behavior for the double-curved sandwich panel is to investigate the existence of a limit for the scale parameter. The displacement field of the double-curved sandwich panel is considered based on the third-order shear deformation double-curved theory. The displacement fields for four cases such as first and third shear deformation theories for double-curved or flat plate states are formulated. Thus, the governing equations of motion using Hamilton's principle are obtained. Various effects including the nonlocal parameter, strain gradient parameter, aspect ratio, thickness ratio, the radius of curvature, different angles of the auxetic core, four-type geometric of structure, four-type displacement field, and different distributions of CNTs on the dimensionless natural frequencies of the thick double-curved sandwich panel are illustrated. The dimensionless natural frequency increases much more for the positive angle compared to the negative angle. It is shown that the effects of external physical parameters and internal characteristic parameters on vibration behaviors of a double-curved sandwich panel are independent. In this article, the thick double-curved sandwich panel includes four cases, such as cylindrical, spherical, elliptical, and flat plate shapes, so it is used in turbine blades and airplane wings.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2967 - 3000"},"PeriodicalIF":2.3,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929979","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

High-order finite element investigation of nonlinear buckling and post-buckling behavior of porous FGM plates on elastic foundations 弹性地基上多孔FGM板非线性屈曲和后屈曲行为的高阶有限元研究

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-18 DOI: 10.1007/s00707-025-04322-9

Hamza Chaabani, Abdessamed Baaddi, Lhoucine Boutahar, Khalid El Bikri

{"title":"High-order finite element investigation of nonlinear buckling and post-buckling behavior of porous FGM plates on elastic foundations","authors":"Hamza Chaabani, Abdessamed Baaddi, Lhoucine Boutahar, Khalid El Bikri","doi":"10.1007/s00707-025-04322-9","DOIUrl":"10.1007/s00707-025-04322-9","url":null,"abstract":"<div><p>This study extensively examines the stability and post-buckling characteristics of porous functionally graded material (FGM) plates supported on a geometrically nonlinear Winkler/Pasternak elastic foundation. The analysis utilizes the high-order continuation finite element approach (FE-HOCA), which incorporates high-order shear deformation theory (HOSDT) and employs the numerical asymptotic method. The research explicitly explores the impacts of both even and uneven porosity distributions and the effects of foundation parameters on the buckling and post-buckling behavior of FGM plates. A notable aspect of the FE-HOCA is its adaptive step size, which adjusts to local nonlinearities within the solution, thereby improving the curve-tracing process and aiding in identifying bifurcation points. By utilizing a Taylor series expansion of the governing equilibrium equations, the method reformulates them into a recursive sequence of linear subproblems for each order. Discretization is performed using an eight-node quadrilateral finite element, with nine degrees of freedom assigned to each node. Furthermore, the continuation algorithm enables tracing entire solution branches by inverting the tangent matrix only once per branch, resulting in considerable computational efficiency compared to conventional Newton–Raphson methods, which are typically more resource-intensive and solve iteratively. Various numerical examples and parametric investigations illustrate the effectiveness of the FE-HOCA, analyzing the influences of porosity distribution, foundation stiffness, power-law index, and boundary conditions on the overall structural response.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3231 - 3265"},"PeriodicalIF":2.3,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929930","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

Utilizing star-shaped auxetic metabeams for piezoelectric vibration energy harvesting 利用星形异形梁进行压电振动能量收集

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-17 DOI: 10.1007/s00707-025-04291-z

Farzad Ebrahimi, Mahdi Parsi

{"title":"Utilizing star-shaped auxetic metabeams for piezoelectric vibration energy harvesting","authors":"Farzad Ebrahimi, Mahdi Parsi","doi":"10.1007/s00707-025-04291-z","DOIUrl":"10.1007/s00707-025-04291-z","url":null,"abstract":"<div><p>This study introduces a star-shaped auxetic cantilever beam for vibration energy harvesting applications. Auxetic materials, characterized by a negative Poisson’s ratio, produce uniform stresses under mechanical loading, making them ideal for enhancing power generation in energy harvesters. The proposed design consists of two piezoelectric layers and a star-shaped auxetic structure that converts mechanical input into electrical energy. The piezoelectric layers are assumed to be wired in parallel configurations. The beam is excited by base motion, with its response analyzed through translational and rotational dynamics and a tip mass attached at its free end. A Timoshenko beam model is developed to derive the coupled electromechanical equations of the auxetic harvester, and an exact solution is employed to evaluate its electrical performance. A 3D finite element model is also constructed to validate the analytical model, with convergence and comparison studies confirming its stability and accuracy. A parametric study investigates the influence of design parameters on the harvested power, revealing that larger auxetic core inclination angles and greater cell rib thickness maximize the power output. The star-shaped auxetic energy harvester achieves a 43% higher output voltage compared to a conventional aluminum harvester under equivalent operating conditions while also reducing weight by 20% without compromising power output. These findings highlight the potential of auxetic structures and multipurpose composites in advancing vibration-based energy harvesting technologies and broader engineering applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2895 - 2919"},"PeriodicalIF":2.3,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929980","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

Evaluation of mechanical behavior of textile microfibers 纺织微纤维力学性能评价

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-04-16 DOI: 10.1007/s00707-025-04314-9

Jie Liu, Yu Fu, Mostafa Habibi, Y. Sun

{"title":"Evaluation of mechanical behavior of textile microfibers","authors":"Jie Liu, Yu Fu, Mostafa Habibi, Y. Sun","doi":"10.1007/s00707-025-04314-9","DOIUrl":"10.1007/s00707-025-04314-9","url":null,"abstract":"<div><p>Polymers have extensive applications in various industries. One of them is the application of polymer materials in the textile industry which is an important and profitable industry. Assessment of physical and chemical properties of polymers can serve for analysis purposes of constitutive materials of apparel. This paper presents a mechanical study on the torsional dynamic behavior of textile microfibers i.e., polyester and nylon which are the common materials in the textile industry. As observed in the former investigation, microfibers have different cross-sections. Hence, elliptical and triangular shapes are considered for cross-section of textile microfibers. Nonlocal strain gradient theory in conjunction with Timoshenko-Gere theory is implemented to derive the partial differential governing equations of polyester and nylon microfibers. The accuracy of the utilized methodology is compared with the findings of former investigations. Moreover, two boundary conditions i.e., clamped–clamped and clamped-free are taken into account. At last, the impacts of various remarkable variants including microfibers cross-section geometry parameters, length scale, and nonlocal parameters on the variation of natural torsional frequency are evaluated and demonstrated in a set of tables and diagrams.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3081 - 3094"},"PeriodicalIF":2.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930055","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