Acta Mechanica最新文献_第5页

Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations 考虑重力因素的功能梯度正交层接触力学分析方法

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-16 DOI: 10.1007/s00707-024-04091-x

Erdal Öner, Ahmed Wasfi Hasan Al-Qado

{"title":"Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations","authors":"Erdal Öner, Ahmed Wasfi Hasan Al-Qado","doi":"10.1007/s00707-024-04091-x","DOIUrl":"10.1007/s00707-024-04091-x","url":null,"abstract":"<div><p>Contact problems involving deformable bodies are widespread in both industrial and everyday situations. They have a crucial impact on structural and mechanical systems, which has led to significant efforts in modeling and numerical simulations. These efforts aim to improve understanding and optimization in various engineering applications. This study examines the contact problem involving a functionally graded (FG) orthotropic layer resting on a rigid foundation, without considering frictional influences. A point load is applied to the layer through a rigid punch on its top surface. Additionally, the gravitational effects of the FG orthotropic layer are considered in the analyses. Material parameters and density of the FG orthotropic layer are presumed to exhibit exponential variations along the vertical axis. The resolution of the problem involves deriving stress and displacement expressions through the application of elasticity theory and integral transformation techniques. By imposing the pertinent boundary conditions onto these expressions, a singular integral equation is formulated, wherein the contact stress under the punch remains unknown. Employing the Gauss–Chebyshev integration method, this integral equation is subsequently numerically solved, particularly for a flat punch profile. The outcomes of this investigation encompass the determination of contact stresses under the punch, the critical separation load, and the critical separation point—marking the initial separation between the FG orthotropic layer and the rigid foundation. Additionally, the analysis yields dimensionless representations of normal stresses along the symmetry axis within the FG orthotropic layer, as well as shear stresses along a designated section proximate to the symmetry axis. Furthermore, it provides insights into the normal stresses along the x axis at the bottom surface of the FG orthotropic layer, contingent upon various parameters and distinct orthotropic material compositions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6929 - 6958"},"PeriodicalIF":2.3,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249033","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

Rapid sloshing-free transport of liquids in arbitrarily shaped containers 在任意形状的容器中快速无荡涤地运输液体

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-16 DOI: 10.1007/s00707-024-04068-w

Florian Toth, Andreas Scharner, Alexander Schirrer, Christoph Hametner, Stefan Jakubek

{"title":"Rapid sloshing-free transport of liquids in arbitrarily shaped containers","authors":"Florian Toth, Andreas Scharner, Alexander Schirrer, Christoph Hametner, Stefan Jakubek","doi":"10.1007/s00707-024-04068-w","DOIUrl":"10.1007/s00707-024-04068-w","url":null,"abstract":"<div><p>We present a model-based feedforward control strategy suitable for designing swift rest-to-rest maneuvers for liquids in arbitrarily shaped containers. We employ the commonly used equivalent pendulum model to represent the sloshing dynamics and suggest a novel parameter identification scheme suitable for arbitrary container shapes and any number of sloshing modes. By computing natural modes and fluid reaction forces and torques for imposed harmonic container motions via a finite element model, we obtain data for the identification scheme. A fitting procedure then yields highly accurate parameters for a physical pendulum model, where each pendulum represents one sloshing mode. We also provide a thorough analysis of parameter identifiability and guidelines for obtaining robust parameter estimates. The proposed feedforward control method uses a virtual tray pendulum on which we place the container (in the form of its equivalent pendulum model). Designing the virtual tray such that the fluid’s dominant sloshing mode cannot be excited by horizontally moving the tray pendulum pivot effectively zeros out any sloshing motion in this mode. We then exploit the flatness property of the resulting system to design rest-to-rest maneuvers where any residual sloshing motion (in higher modes) can be exactly stopped at the end of the maneuver. The effectiveness of the proposed method is demonstrated through extensive simulations and experimental results using a Martini cocktail glass, whose shape is challenging in terms of sloshing. The experimental results show the successful, accurate suppression of sloshing, validating the efficacy of the proposed concept.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7039 - 7058"},"PeriodicalIF":2.3,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04068-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268432","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

Optimization of cantilever beams with multiple flexoelectric actuators based on Newton–Raphson iteration 基于牛顿-拉斐森迭代法的带多个柔性电致动器悬臂梁优化设计

IF 2.7 3区工程技术

Acta Mechanica Pub Date : 2024-09-16 DOI: 10.1007/s00707-024-04085-9

Yiming Li, Chen Chen, Mu Fan

{"title":"Optimization of cantilever beams with multiple flexoelectric actuators based on Newton–Raphson iteration","authors":"Yiming Li, Chen Chen, Mu Fan","doi":"10.1007/s00707-024-04085-9","DOIUrl":"https://doi.org/10.1007/s00707-024-04085-9","url":null,"abstract":"<p>This study delves into the complexity of optimizing multiple actuators on a cantilever beam, focusing on the flexoelectric effect caused by the non-uniform electric field generated by an atomic force microscope (AFM) probe. Multiple actuators control has significant research value in enhancing the flexoelectric effect, greatly alleviating stress concentration and achieving precise vibration control. The current challenge in multiple flexoelectric actuators research is multi-objective optimization, addressed here using the Newton–Raphson iterative method, known for its robustness in the convex function domain, as an optimization framework. By analyzing structural parameters and flexoelectric actuator parameters, significant influencing factors are selected to form the vector space, determining actuator positions and driving voltages. These variables constitute the optimization space and are incorporated into the Newton–Raphson general iterative equation to derive the iteration matrix, which is computed using MATLAB. Case studies confirm that the Newton–Raphson method effectively identifies optimal actuator positions and driving voltages at different modes without external force, significantly improving flexoelectric control efficiency. Additionally, it quickly stabilizes vibrations at different modes under external force. However, the study has limitations, as the Newton–Raphson method cannot effectively solve non-convex function optimization in linear space. This research advances the understanding of multiple actuators optimization control structure dynamics and promotes the development of more effective engineering solutions, particularly in achieving more precise actuation and control in the field of micro- and nano-structure engineering.</p>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"1 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249036","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

Microbiology-inspired nonlinear variable-order fractional model for amorphous glassy polymer 微生物学启发下的非晶玻璃聚合物非线性变阶分数模型

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-14 DOI: 10.1007/s00707-024-04089-5

Wei Cai, Zhouquan Wang, Yongqi Zhang, Changyu Liu

引用次数: 0

Geometrically nonlinear static analysis of multi-component structures through variable-kinematics finite elements 通过变运动学有限元对多组件结构进行几何非线性静态分析

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-13 DOI: 10.1007/s00707-024-04084-w

R. Azzara, E. Carrera, P. Chiaia, M. Filippi, A. Pagani, M. Petrolo, E. Zappino

{"title":"Geometrically nonlinear static analysis of multi-component structures through variable-kinematics finite elements","authors":"R. Azzara, E. Carrera, P. Chiaia, M. Filippi, A. Pagani, M. Petrolo, E. Zappino","doi":"10.1007/s00707-024-04084-w","DOIUrl":"10.1007/s00707-024-04084-w","url":null,"abstract":"<div><p>This paper presents a multi-dimensional variable-kinematics finite element model for nonlinear static analyses of structures with complex geometries. The approach incorporates higher-order beam models and classical solid finite elements in a unified framework, enabling refined modeling of complex geometries. The finite element procedure proposed follows the Carrera Unified Formulation (CUF) and uses a pure displacement-based methodology. The governing equations are derived within the classical continuum mechanics framework, and weak-form equilibrium equations are established using the Principle of Virtual Displacements (PVD). Within the CUF framework, higher-order beam and hexahedral solid models are defined in a unified manner, and the governing equations are written in terms of invariants of mathematical models used and the theory of structures approximation. A coupling technique is used between the beam and solid elements at the nodal level using superposition. The capabilities of fully nonlinear variable-kinematics models are investigated for the static analysis of various rectangular and curved structures. The numerical results are compared with solutions obtained using commercial software. Finally, the proposed methodology is applied to analyze more complex geometries in engineering applications. The results show the capabilities of variable-kinematics models in terms of both accuracy and computational efficiency for the computation of highly nonlinear deformed states and localized phenomena, such as stress concentrations and buckling.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7003 - 7026"},"PeriodicalIF":2.3,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04084-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249037","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

Photothermal interactions in a semiconducting rotating plate with voids and temperature-dependent properties under dual phase lag model 带有空隙的半导体旋转板中的光热相互作用以及双相滞后模型下随温度变化的特性

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-12 DOI: 10.1007/s00707-024-04080-0

Kirti Boora, Sunita Deswal, Ravinder Poonia

{"title":"Photothermal interactions in a semiconducting rotating plate with voids and temperature-dependent properties under dual phase lag model","authors":"Kirti Boora, Sunita Deswal, Ravinder Poonia","doi":"10.1007/s00707-024-04080-0","DOIUrl":"10.1007/s00707-024-04080-0","url":null,"abstract":"<div><p>The current manuscript focuses on the photo-thermoelastic interactions in a rotating plate with a porous structure and temperature-dependent properties. The analysis is performed using the dual phase lag theory and by considering a two-dimensional isotropic homogeneous plate. The upper surface of the plate experiences the application of a mechanical source, while the lower surface of the plate is insulated thermally. The application of the normal mode technique enables the derivation of analytical expressions for various field variables such as displacement, stress, change in volume fraction field, carrier density and temperature within the physical domain. Numerical computations are performed for a plate composed of silicon material and the results are represented graphically with the support of MATLAB software to demonstrate the consistency of the obtained results. To outline the influences of rotation, photothermal transport process, temperature-dependent properties and void parameters on the physical fields, certain collations are presented. Some specific cases of interest have also been deducted.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6889 - 6910"},"PeriodicalIF":2.3,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221654","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 low-velocity impact response of magneto-electro-elastic beams with initial geometric imperfection 具有初始几何缺陷的磁电弹性梁的非线性低速冲击响应

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-12 DOI: 10.1007/s00707-024-04087-7

Yin-Ping Li, Gui-Lin She

{"title":"Nonlinear low-velocity impact response of magneto-electro-elastic beams with initial geometric imperfection","authors":"Yin-Ping Li, Gui-Lin She","doi":"10.1007/s00707-024-04087-7","DOIUrl":"10.1007/s00707-024-04087-7","url":null,"abstract":"<div><p>Previous studies on the dynamic problems of magneto-electro-elastic (MEE) beams mainly focused on the buckling and free vibration, no literature paid attention to the low-velocity impact response problem. More importantly, no one conducted the investigation on the nonlinear low-velocity impact of MEE beams with considering the effect of initial geometric imperfection. To fill this gap, this article aims to study the low-velocity impact problem of MEE beams with initial geometric imperfection. Firstly, the nonlinear Hertz contact law is used to describe the displacement and contact force of the MEE beam, and the initial conditions for the beam and impactor are given. Subsequently, considering the multiple coupling effect, the dynamic model is established through Hamilton’s principle. Taking the simply-supported boundary condition into account, the Galerkin principle is utilized to reduce the dimensionality, resulting in a nonlinear equation regarding contact time, lateral central displacement and contact force. Meanwhile, two comparative analyses are conducted to confirm the rationality of the present work. Finally, the Runge–Kutta method is employed to solve the low-velocity impact response, in which the effects of electric potential, magnetic potential, initial geometric imperfection, temperature rise, prestress, damping coefficient, the radius and velocity of the impactor as well as the geometric dimension of the beam are discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6911 - 6928"},"PeriodicalIF":2.3,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227544","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

A 1D nonlinear model for piezoelectric semiconductor fibers incorporating thermal and thermoelectric effects 包含热效应和热电效应的压电半导体纤维一维非线性模型

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-09 DOI: 10.1007/s00707-024-04062-2

Yanjie Mei, Xueqian Kong, Gongye Zhang, Changwen Mi

{"title":"A 1D nonlinear model for piezoelectric semiconductor fibers incorporating thermal and thermoelectric effects","authors":"Yanjie Mei, Xueqian Kong, Gongye Zhang, Changwen Mi","doi":"10.1007/s00707-024-04062-2","DOIUrl":"10.1007/s00707-024-04062-2","url":null,"abstract":"<div><p>This paper studies multi-physical fields in a piezoelectric semiconductor (PS) fiber with consideration of heat conduction, pyroelectric, and thermoelectric effects. Based on the three-dimensional (3D) framework of piezoelectricity, drift–diffusion theory, Seebeck effect, and Peltier effect, we develop a highly nonlinear one-dimensional (1D) model that incorporates axial deformation, axial variations of the electric field, the redistribution of carriers, and temperature deviation. Combining the 1D nonlinear governing equations and the corresponding boundary conditions, the influence of the thermoelectric coefficients and axial forces on electrostatic potential, carrier redistribution, and temperature variation are solved numerically. Due to the nonlinearity of the model, these solutions are observed without symmetry or asymmetry. Our research shows that the temperature will increase near the action point of the axial force. Therefore, the temperature deviation in the fiber can be controlled by applying axial force at different points. Finally, we examine how the axial forces applied in the fiber affect the current–voltage relation. The presented study provides a potential application for mechanical switches, sensors, or thermal control for PSs.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6833 - 6848"},"PeriodicalIF":2.3,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221659","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 exact analytical method for free vibration analysis of FG-GPLRC sector cylindrical shells under Levy-type boundary conditions 列维型边界条件下 FG-GPLRC 扇形圆柱壳自由振动分析的精确分析方法

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-09 DOI: 10.1007/s00707-024-04072-0

Ata Alipour Ghassabi, Ali Razgordanisharahi, Gullu Kiziltas Sendur, Yaser Kiani, Christian Hellmich

{"title":"An exact analytical method for free vibration analysis of FG-GPLRC sector cylindrical shells under Levy-type boundary conditions","authors":"Ata Alipour Ghassabi, Ali Razgordanisharahi, Gullu Kiziltas Sendur, Yaser Kiani, Christian Hellmich","doi":"10.1007/s00707-024-04072-0","DOIUrl":"10.1007/s00707-024-04072-0","url":null,"abstract":"<div><p>In this article, an exact analytical method for the free vibration analysis of functionally graded (FG) graphene platelet (GPL)-reinforced composite (GPLRC) sector cylindrical shells is presented by considering Levy-type boundary conditions for the first time. The analysis relies on the use of the Halpin–Tsai micro-mechanical model for evaluating the material properties of the graded layers of the shell with three different grading patterns. Mathematical modeling of the Levy-type cylindrical shell is based on the Hamilton principle and the Sanders first-order shear deformation theory (FSDT). The governing equations of the composite shell are analytically solved using the state-space method. The validity of the proposed analytical method is demonstrated by the excellent agreement between the obtained results of the exact analytical solution and the results available in the literature. Furthermore, some parametric studies are conducted to reveal the effects of variations in boundary conditions, GPL distribution patterns, GPL weight fraction, and geometrical parameters such as shallowness angle, length-to-radius ratio, and thickness on the free vibration behavior of the shell structure. Natural frequencies and mode switching are reported for different mode numbers.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6849 - 6865"},"PeriodicalIF":2.3,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04072-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221655","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

Bifurcation analysis of a nanotube through which passes a nanostring 通过纳米环的纳米管的分岔分析

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2024-09-09 DOI: 10.1007/s00707-024-04076-w

Armin D. Berecki, Valentin B. Glavardanov, Nenad M. Grahovac, Miodrag M. Zigic

引用次数: 0