Archive of Applied Mechanics最新文献_第7页

Fractional-order rate-dependent porous-thermo-elasticity model based on new fractional derivatives with non-singular kernels and 1D transient dynamic response analysis of magnesium-based porous half-space with voids 基于新型非奇异核分数阶导数的分数阶孔隙热弹性模型及含孔洞镁基多孔半空间一维瞬态动态响应分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-18 DOI: 10.1007/s00419-024-02719-x

Chenlin Li, Liangcheng Zheng, Tianhu He

{"title":"Fractional-order rate-dependent porous-thermo-elasticity model based on new fractional derivatives with non-singular kernels and 1D transient dynamic response analysis of magnesium-based porous half-space with voids","authors":"Chenlin Li, Liangcheng Zheng, Tianhu He","doi":"10.1007/s00419-024-02719-x","DOIUrl":"10.1007/s00419-024-02719-x","url":null,"abstract":"<div><p>Nowadays, the extensive applications of the ultrafast heating technologies (e.g., laser burst, induction heating, etc.) in the fabricating and manufacturing of the porous elastic solids (e.g., cellular material, mesoporous material, macroporous material, etc.) have aroused great interests on investigating the constitutive modeling and transient dynamic responses analysis of the porous-thermo-elastic coupling. Although the fractional temperature rate-dependent porous-thermo-elasticity theories have been historically proposed, the theoretical formulations still adopt the classical fractional derivatives with singular kernels, and the inherent strain relaxation effect and the associated memory dependency are not considered yet in the ultrafast heating condition. To compensate for such deficiency, the present work aims to establish a fractional-order rate-dependent porous-thermo-elasticity model based on the new fractional derivatives with the non-singular kernels (i.e., Caputo–Fabrizio, Atangana–Baleanu, and tempered Caputo fractional derivatives). With the aids of the extended thermodynamic principles, the new constitutive and governing equations are obtained. The proposed theoretical model is applied to investigate the 1D transient dynamic response analysis of magnesium-based porous half-space with voids by applying the Laplace transformation approach. The influences of the new fractional derivatives on the wave propagations and structural transient dynamic responses are evaluated and discussed.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142845002","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

Series solutions for free in-plane vibration of composite plates with arbitrary shape 任意形状复合材料板面内自由振动的级数解

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-17 DOI: 10.1007/s00419-024-02740-0

Qiuhong Li, Yuyu Song, Joey Sanchez, Zunbing Sheng, Zhongxian Wang

{"title":"Series solutions for free in-plane vibration of composite plates with arbitrary shape","authors":"Qiuhong Li, Yuyu Song, Joey Sanchez, Zunbing Sheng, Zhongxian Wang","doi":"10.1007/s00419-024-02740-0","DOIUrl":"10.1007/s00419-024-02740-0","url":null,"abstract":"<div><p>In this paper, we present a series solution for free in-plane vibration of composite plates with arbitrary shape by using the domain segmentation integral method and derive the tangential and normal vibration displacement equations for the plate boundaries. The solution presented is widely applicable to the analysis of free in-plane vibration of plates; it can accurately and effectively solve the in-plane free vibration problem of arbitrarily shaped non-homogeneous orthotropic plates of variable thickness, complex geometry and variable material properties with respect to in-plane coordinate parameters. To verify the effectiveness, accuracy and applicability of the proposed solution, we perform a computational analysis of different orthogonalization intervals, weight functions, penalty stiffness and the truncation number of orthogonal polynomials. Additionally, the effects of the parameters of thickness and nonhomogeneity on the in-plane vibration characteristics of plate are studied. As a result, we present a new series of natural frequencies and mode shapes for arbitrarily shaped non-homogeneous orthotropic plates of variable thickness.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844824","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

Modelling and stability analysis of the permanent magnetic bearing-rotor system under base excitation 基础激励下永磁轴承-转子系统的建模与稳定性分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-17 DOI: 10.1007/s00419-024-02741-z

Jian Zhou, Ziqiang Fang, Siyu He, Qiang Zhang

{"title":"Modelling and stability analysis of the permanent magnetic bearing-rotor system under base excitation","authors":"Jian Zhou, Ziqiang Fang, Siyu He, Qiang Zhang","doi":"10.1007/s00419-024-02741-z","DOIUrl":"10.1007/s00419-024-02741-z","url":null,"abstract":"<div><p>Permanent magnetic bearings (PMBs) hold great potential for various applications such as artificial heart pumps, space equipment, and flywheels. This is due to their notable advantages, including the absence of mechanical contact, no friction, and no control system requirements. However, in many practical scenarios involving PMBs, the bearing installation base is often subject to external excitation, which can interfere with its stability. Currently, the impact of base excitation on the PMB-rotor system and methods for enhancing the stability of the PMB-rotor system under base excitation remain subjects of investigation. Hence, this study focuses on conducting stability analysis of the PMB-rotor system under the influence of base excitation. Firstly, the theoretical model of PMB based on the Halbach array is established, and then the system dynamics model of PMB-rotor under base excitation is established by using the second Lagrange equation. Finally, according to the established dynamic model, the effects of base excitation parameters, structural parameters, and external damping on the stability of the PMB-rotor system under base excitation are analysed through the root locus method. The research results presented in this study provide a theoretical reference for further engineering applications of PMBs.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844823","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

Tempered fractional thermal conduction model for magnetoelastic solids with spherical holes under time-dependent laser pulse heating 带球形孔的磁弹性固体在随时间变化的激光脉冲加热下的钢化分数热传导模型

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-16 DOI: 10.1007/s00419-024-02739-7

Ahmed E. Abouelregal, Yazeed Alhassan, Salman S. Alsaeed, Mohamed E. Elzayady

{"title":"Tempered fractional thermal conduction model for magnetoelastic solids with spherical holes under time-dependent laser pulse heating","authors":"Ahmed E. Abouelregal, Yazeed Alhassan, Salman S. Alsaeed, Mohamed E. Elzayady","doi":"10.1007/s00419-024-02739-7","DOIUrl":"10.1007/s00419-024-02739-7","url":null,"abstract":"<div><p>This paper presents a modified tempered fractional thermal conductivity model aimed at enhancing the analysis of thermal behavior in magnetic thermoelastic solids, particularly in response to time-dependent laser pulse heating. Current literature lacks comprehensive approaches that effectively account for the complex interactions of thermal, mechanical, and magnetic fields within such materials. This gap is critical, as understanding these interactions is essential for optimizing the performance and reliability of advanced materials in engineering applications. Our study addresses this need by introducing a fractional model that employs modified tempered Caputo fractional derivatives in conjunction with a single-parameter Mittag–Leffler function. This innovative adjustment incorporates a parameter specifically designed to capture memory effects, resulting in a more accurate representation of the intricate thermal dynamics at play. We solved the governing equations directly using the Laplace transform method, providing exact formulas for displacement, temperature, and thermal stresses in copper. The graphical representations included in the study illustrate the material's deformation and the development of thermal stresses under thermal loading conditions. The findings demonstrate that the introduction of the memory effect parameter significantly enhances the thermoelastic model's ability to characterize the behavior of materials and structures subjected to thermal loads, thereby contributing valuable insights to the field of magnetic thermoelasticity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826410","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

Bragg resonance in a two-layer fluid with the inclusion of current and tension at both surface and interface 双层流体中的布拉格共振，表面和界面均包含电流和张力

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-14 DOI: 10.1007/s00419-024-02737-9

Akshita Aggarwal, S. K. Mohanty, S. C. Martha

{"title":"Bragg resonance in a two-layer fluid with the inclusion of current and tension at both surface and interface","authors":"Akshita Aggarwal, S. K. Mohanty, S. C. Martha","doi":"10.1007/s00419-024-02737-9","DOIUrl":"10.1007/s00419-024-02737-9","url":null,"abstract":"<div><p>In this study, the scattering of water waves by an undulating bottom in a two-layer fluid with current, surface tension, and interfacial tension is investigated. The perturbation technique followed by the Fourier transform technique are applied to solve the coupled boundary value problem. A Bragg resonance arises between the surface waves and the bottom ripples, which is associated with the reflection of incident wave energy. Hence, the Bragg coefficients namely, Bragg reflection and transmission coefficients, and associated velocity potentials are analysed which are obtained in integral forms. In order to clearly understand the efficacy of the present study, a certain type of undulating bottom, known as sinusoidal bottom undulation, has been examined. It has been shown that when the combined effects of surface tension, interfacial tension, and current are taken into account, the wave reflection is minimal. Moreover, a shift in the Bragg resonant frequency is seen with a change in current speed. In addition, interfacial tension influences both surface and interfacial waves, whereas surface tension primarily impacts surface waves. The results obtained here are expected to be qualitatively helpful in tackling problems of flexural gravity waves in two-layer fluid in the presence of current.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142821329","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 enhanced finite element model for static bending analysis of functionally graded plates with power-law, exponential, and sigmoid material gradients 具有幂律，指数和s型材料梯度的功能梯度板的静态弯曲分析的增强有限元模型

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-12 DOI: 10.1007/s00419-024-02727-x

Mohamed-Ouejdi Belarbi, Soufiane Benounas, Sattar Jedari Salami, Abdelhak Khechai, Ahmed-Amine Daikh, Mohammed Sid Ahmed Houari, Smain Bezzina

{"title":"An enhanced finite element model for static bending analysis of functionally graded plates with power-law, exponential, and sigmoid material gradients","authors":"Mohamed-Ouejdi Belarbi, Soufiane Benounas, Sattar Jedari Salami, Abdelhak Khechai, Ahmed-Amine Daikh, Mohammed Sid Ahmed Houari, Smain Bezzina","doi":"10.1007/s00419-024-02727-x","DOIUrl":"10.1007/s00419-024-02727-x","url":null,"abstract":"<div><p>This study presents a finite element model formulated to analyze accurately the bending behavior of functionally graded (FG) plates, employing an improved first-order shear deformation theory (FSDT). In contrast to the conventional Mindlin–Reissner theory, our enhanced FSDT incorporates a parabolic shear strain distribution, providing a more realistic depiction of shear strain throughout the plate’s thickness. Material properties of the FG plates are modeled to undergo continuous variation through the thickness, utilizing power law, exponential, and sigmoid distributions. The investigation focuses on assessing the impact of material composition and geometric parameters under both sinusoidal and uniformly distributed loads, considering various boundary conditions. Comparative analyses with previously published literature underscore the precision and simplicity of our model. The obtained results demonstrate strong agreement with solutions derived from other high-order theories, affirming the accuracy of our proposed model. This research contributes valuable insights into the bending behavior of FG plates and reinforces the reliability of the developed finite element model.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811098","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

Dynamic analysis of liquid-filled clamp-pipe systems based on the spectral element method 基于谱元法的充液钳管系统动态分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-10 DOI: 10.1007/s00419-024-02723-1

Zhonghan Sun, Ruyu Yu, Xin Wang, Xufang Zhang

{"title":"Dynamic analysis of liquid-filled clamp-pipe systems based on the spectral element method","authors":"Zhonghan Sun, Ruyu Yu, Xin Wang, Xufang Zhang","doi":"10.1007/s00419-024-02723-1","DOIUrl":"10.1007/s00419-024-02723-1","url":null,"abstract":"<div><p>This paper presents an effective approach for dynamic analysis of liquid-filled clamp pipe (LFCP) systems based on the spectral element method (SEM). In this regard, six stiffness components are used to represent the elastic supporting effect of a clamp on the pipe structure, and analytical parameters are derived to realize the Rayleigh damping model in the SEM. This determines an SEM-based approach for dynamic analysis of the LFCP system. Numerical verification of the SEM is implemented for natural frequency analysis of the LFCP in conjunction with the straight, the L-shape, and parallel pipe systems. Compared to the finite-element or the transfer-matrix method in the literature, simulation results have confirmed the high accuracy and efficiency of utilizing the SEM for numerical modelling of the LFCP system. Various realizations of the pipe diameter, the fluid density and pressure, and the clamp coefficients are also considered to investigate their combined effects on structural characteristics. It has confirmed that the SEM based approach provides an effective routine for dynamic analysis of the LFCP system.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142798252","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

Contact mechanics of functionally graded orthotropic layer under normal traction and gravity: an analytical perspective 正常牵引和重力作用下功能梯度正交各向异性层的接触力学分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-09 DOI: 10.1007/s00419-024-02733-z

Erdal Öner, Ahmed Wasfi Hasan Al-Qado

{"title":"Contact mechanics of functionally graded orthotropic layer under normal traction and gravity: an analytical perspective","authors":"Erdal Öner, Ahmed Wasfi Hasan Al-Qado","doi":"10.1007/s00419-024-02733-z","DOIUrl":"10.1007/s00419-024-02733-z","url":null,"abstract":"<div><p>Contact mechanics is a complex and advanced field of engineering, with continuous research dedicated to modeling and examining contact problems in multilayered and multibody systems. Given that fatigue and fracture failures often result from contact loads, precise determination of subsurface stresses is crucial for the design of mechanical components. This study provides an exact analytical solution for the frictionless indentation of a functionally graded (FG) orthotropic layer by a rigid cylindrical punch. The FG orthotropic layer, which rests on a rigid, non-adhesive substrate, is treated as a nonhomogeneous medium with an orthotropic stress–strain relationship. Part of its top surface experiences normal tractions, while the rest remains traction-free. The analysis also incorporates the gravitational force affecting the FG orthotropic layer. Five distinct real orthotropic materials are used, each with individually graded stiffness constants in their principal directions, to define the FG orthotropic behavior of the material. The governing equations are formulated using the singular integral equation method and transformed into algebraic systems via the Gauss–Chebyshev integration technique. A comprehensive parametric study examines how variations in dimensionless punch radius, compressive force, inhomogeneity parameters, and body force influence contact widths, contact pressures, normal and shear stresses, critical load factor, and the initial point of interface separation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142798546","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

Comparative analysis and determination of applicable range for free vibration of laminated cylindrical shells considering multiple shell theories and nine boundary conditions 考虑多种壳体理论和九种边界条件的层合圆柱壳自由振动适用范围的比较分析与确定

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-07 DOI: 10.1007/s00419-024-02711-5

Wujiu Pan, Qilong Wu, Jian Li, Heng Ma, Junyi Wang, Jianwen Bao, Xianjun Zeng, Peng Nie

{"title":"Comparative analysis and determination of applicable range for free vibration of laminated cylindrical shells considering multiple shell theories and nine boundary conditions","authors":"Wujiu Pan, Qilong Wu, Jian Li, Heng Ma, Junyi Wang, Jianwen Bao, Xianjun Zeng, Peng Nie","doi":"10.1007/s00419-024-02711-5","DOIUrl":"10.1007/s00419-024-02711-5","url":null,"abstract":"<div><p>As the key structure of aero-engine, the prediction\u0000and analysis of the dynamic characteristics of the casing is of\u0000great significance for evaluating the safety of the structure and\u0000preventing resonance. Based on Love shell theory, Donnell shell\u0000theory and Soedel shell theory, the prediction model of\u0000three-layered thin-walled cylindrical shell is established by energy\u0000method and solved and analyzed by Rayleigh Ritz method. This paper\u0000investigates nine classical boundary conditions including simple\u0000support–simple support (S–S), fixed support–fixed support\u0000(C–C), free–free (F–F), sliding–sliding (SL–SL), fixed\u0000support–simple support (C-S), fixed support–free (C–F), fixed\u0000support–sliding (C–SL), free–simple support (F–S),\u0000free–simple support <span>(text{(F-)})</span> and free–sliding (F-SL). In this paper,\u0000the natural frequency values of the three models are solved under\u0000different length–diameter ratio, thickness–diameter ratio and\u0000circumferential wave number. The accuracy of the models established\u0000in this paper is verified by comparison with published papers, and\u0000the differences and application ranges of the solution results of\u0000different models are given. The research of this paper provides\u0000useful references for the design and optimization of aero-engine\u0000cylindrical shell.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789333","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

Spatial behavior in an elastic problem with non-positive definite tensors 非正定张量弹性问题的空间行为

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-12-06 DOI: 10.1007/s00419-024-02732-0

José R. Fernández, Ramón Quintanilla

引用次数: 0