Archive of Applied Mechanics最新文献

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Supersonic aeroelastic behaviors of the ferromagnetic panels in steady/harmonic magnetic field 稳定/谐波磁场下铁磁板的超音速气动弹性行为
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-16 DOI: 10.1007/s00419-025-02806-7
Shi Lihe, Duan Jingbo, Pang Yu, Yue Yanmei, Wang Wei
{"title":"Supersonic aeroelastic behaviors of the ferromagnetic panels in steady/harmonic magnetic field","authors":"Shi Lihe,&nbsp;Duan Jingbo,&nbsp;Pang Yu,&nbsp;Yue Yanmei,&nbsp;Wang Wei","doi":"10.1007/s00419-025-02806-7","DOIUrl":"10.1007/s00419-025-02806-7","url":null,"abstract":"<div><p>The nonlinear aeroelastic dynamic responses and bifurcation behaviors of the ferromagnetic panel in steady/harmonic magnetic field under the supersonic airflow environment are investigated. The geometrical nonlinear effect of the ferromagnetic panel is depicted through the Von-Karman strain and the aerodynamic load is incorporated by the classical piston theory. Then, the reduced equations of motion are obtained and the Newmark method is used to determine the dynamic response with the Newton–Raphson iterative procedure for the nonlinear equilibrium equation at each time step. After examining the accuracy of the established mechanical model through numerical comparisons with experiment results and literature solutions, the main parametric studies focusing on the steady magnetic field strength, harmonic magnetic amplitude and frequency, dynamic pressure on nonlinear dynamic response are studied and the global bifurcation diagrams are given. Results show that the steady magnetic field leads to enhancement of the critical flutter dynamic pressure and a delaying of chaotic motion for the ferromagnetic panel. However, the harmonic magnetic field will complicate the motion type of the ferromagnetic panel and bring a chaotic state earlier.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02806-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835708","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
A simple and general algorithm for integration of numerical models in plasticity 塑性数值模型积分的一种简单通用算法
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-16 DOI: 10.1007/s00419-025-02804-9
Guy T. Houlsby, Miad Saberi
{"title":"A simple and general algorithm for integration of numerical models in plasticity","authors":"Guy T. Houlsby,&nbsp;Miad Saberi","doi":"10.1007/s00419-025-02804-9","DOIUrl":"10.1007/s00419-025-02804-9","url":null,"abstract":"<div><p>We describe an algorithm to be used for the numerical integration of plasticity models in finite element or finite difference codes. The algorithm is simple to code and implement. It is presented here for a generic form of plasticity model encompassing both single and multiple yield surfaces, and it is readily adaptable to more complex models. Three examples are given to demonstrate the efficacy of the algorithm in controlling integration errors.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02804-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solutions to natural frequencies of laminated composite beams based on the scaled boundary finite element method 基于比例边界有限元法的层状复合梁自然频率解法
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-15 DOI: 10.1007/s00419-025-02805-8
Wenwu Li, Tian Tian, Song Yan, Fuyan Pi
{"title":"Solutions to natural frequencies of laminated composite beams based on the scaled boundary finite element method","authors":"Wenwu Li,&nbsp;Tian Tian,&nbsp;Song Yan,&nbsp;Fuyan Pi","doi":"10.1007/s00419-025-02805-8","DOIUrl":"10.1007/s00419-025-02805-8","url":null,"abstract":"<div><p>The scaled boundary finite element method (SBFEM) is further extended to compute the natural frequencies of laminated composite beams. In the proposed method, the beam is simplified into a one-dimensional model. Only the displacement components along <i>x</i> and <i>z</i> directions are selected as the fundamental unknowns. Starting with the fundamental equations of elasticity and built on the scaled boundary coordinate, the principle of virtual work and the dual vector technique, the first-order ordinary differential scaled boundary finite element dynamic equation for composite beams is obtained, whose general solution is the analytical matrix exponential function. The Padé expansion is utilized to solve the matrix exponential function, and the dynamic matrix of each beam lamina can be acquired. According to the principle of matching degrees of freedom, the global stiffness and mass matrices of the laminated beam are gained. Solving the eigenvalue equation results in the vibration frequencies of laminated composite beams. This method is widely applicable, and there is no limitation on the layer number and boundary conditions. Comparisons with natural frequencies of three-, four- and ten-layered beams as well as the stepped beam, the accuracy, high efficiency and fast convergence of the introduced SBFEM are validated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835612","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 modified permeable model for analyzing two collinear cracks in thermo-electro-elastic materials 用于分析热电弹性材料中两条共线裂缝的修正渗透模型
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-13 DOI: 10.1007/s00419-025-02801-y
Bing Wu, Tengfei Zhong, Chunsheng Lu
{"title":"A modified permeable model for analyzing two collinear cracks in thermo-electro-elastic materials","authors":"Bing Wu,&nbsp;Tengfei Zhong,&nbsp;Chunsheng Lu","doi":"10.1007/s00419-025-02801-y","DOIUrl":"10.1007/s00419-025-02801-y","url":null,"abstract":"<div><p>In this paper, we propose a modified permeable model to analyze the fracture behavior of two collinear cracks under a thermo-electro-elastic load that is described by a cubic function. By employing this modified model and Fourier transformation, the mixed boundary value problem is firstly reduced to a set of singular integral equations. Then, based on using the Cauchy kernel theory, we derive analytical solutions for these equations, with a focus on key crack-tip physical quantities and intensity factors. Numerical results demonstrate that the crack size, initial unit heat flux adjustment parameters, and initial electric displacement adjustment parameter, accounting for the effects of initial heat flux, electric displacement, and irregular crack surfaces, significantly influence the temperature gradients and intensity factors.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02801-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824604","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
Analytical investigation and optimization of a vortex-induced piezoelectric energy harvester by differential transform method and response surface methodology 利用微分变换法和响应面法对涡流诱导压电能量收集器进行分析研究和优化
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-12 DOI: 10.1007/s00419-025-02807-6
Qi Lei, Kaining Mu, Wencan Wu, Sipeng Xu
{"title":"Analytical investigation and optimization of a vortex-induced piezoelectric energy harvester by differential transform method and response surface methodology","authors":"Qi Lei,&nbsp;Kaining Mu,&nbsp;Wencan Wu,&nbsp;Sipeng Xu","doi":"10.1007/s00419-025-02807-6","DOIUrl":"10.1007/s00419-025-02807-6","url":null,"abstract":"<div><p>Linear piezoelectric energy harvesters exhibit coupled vibration phenomena under external excitation. This study proposes a novel semi-analytical method for examining the vibration response of linear piezoelectric energy harvesters in vortex-induced vibration environments. In this study, the governing equations of a vortex-induced piezoelectric energy harvester, derived with the help of Euler–Lagrange equation, are solved using the multi-step differential transform-Padé approximation method. The accuracy of this method is validated against the fourth-order Runge–Kutta method. Furthermore, the influences of the bluff body’s diameter and the length of piezoelectric beam on the system’s output power are examined. Finally, optimization of the model is conducted using the non-dominated sorting genetic algorithm II with the objectives of maximizing output power and minimizing system mass, in which response surface methodology is employed to tackle with the time-consuming problem in computation process. The results indicate that the output power at the turning points calculated through idealized points is 13.37% greater than that of the initial design point, while the total system mass is reduced by 3.06%.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824605","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 performance analysis of train-track-bridge interactions considering full probability of track random irregularities 考虑轨道随机不规则全概率的列车-轨道-桥梁相互作用动力性能分析
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-11 DOI: 10.1007/s00419-025-02799-3
Jinfeng Zhang, Dengyuan Zhu, Fei Huo
{"title":"Dynamic performance analysis of train-track-bridge interactions considering full probability of track random irregularities","authors":"Jinfeng Zhang,&nbsp;Dengyuan Zhu,&nbsp;Fei Huo","doi":"10.1007/s00419-025-02799-3","DOIUrl":"10.1007/s00419-025-02799-3","url":null,"abstract":"<div><p>The dynamic responses of a railway bridge subject to a moving train are randomly affected by track irregularities. With particular attention on track random irregularities, an in-depth analysis is performed in this study to achieve the uncertainty quantification of train-track-bridge interactions. In the method, a 3D train-bridge dynamic model is constructed, in which the ballastless tracks and the bridge girders are integrated as an integral system, and the nonlinear wheel-rail interactions are considered. The track-bridge time-varying coupled method is introduced to improve the modeling and solution efficiency. As the main system excitation, a method for characterizing the ergodic wavelength and amplitude properties of track irregularities is introduced, through which the train-track-bridge system responses can be fully revealed. By introducing a probability density evolution method, an accurate and efficient probabilistic assessment of the influence of track random irregularities on system responses can be achieved. In comparison with the generally used methods, this present work is capable of conducting more complete and accurate evaluation for random vibrations of train-track-bridge systems. Furthermore, the stability of train operation and ride comfort are evaluated for different running speeds and different track geometric conditions. The results show that considering the impact of full probability irregularities is crucial in the random analysis of the train-track-bridge system.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818157","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
Analytic solution for an underground tunnel of arbitrary shape at a moderate depth 中等深度任意形状地下隧道的解析解
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-10 DOI: 10.1007/s00419-025-02802-x
Cheng Huang, Kui Miao, Chuanbin Yu
{"title":"Analytic solution for an underground tunnel of arbitrary shape at a moderate depth","authors":"Cheng Huang,&nbsp;Kui Miao,&nbsp;Chuanbin Yu","doi":"10.1007/s00419-025-02802-x","DOIUrl":"10.1007/s00419-025-02802-x","url":null,"abstract":"<div><p>This paper focuses on the analytic determination of the stress field around a horizontal tunnel buried in an elastic medium at a moderate depth. The cross section of the tunnel is assumed to be arbitrary, and the medium is subjected to a vertical gravity and a lateral pressure in the horizontal direction. In contrast to the cases of deep-buried tunnels in which a constant initial stress field induced by the gravity and lateral pressure before tunnel excavation is used to derive corresponding classical solutions, the current case of a moderate-depth tunnel necessitates the consideration of a non-constant initial stress field varying linearly with the depth coordinate. In this setting, we employ several analytic techniques, in the context of the complex variable formalism for plane elasticity, to derive a modified solution for the full stress field in the medium after tunnel excavation and obtain a closed-form formula for evaluating the hoop stress around the tunnel. Comparisons with the finite element results, for a rectangle-semicircle-shaped tunnel at a depth approximately equal to two times the diameter of the tunnel, are made to validate the modified solution. Numerical examples are presented to illustrate the stress concentration around moderate-depth tunnels of equilaterally triangular shape, square shape and rectangle-semicircle shape. It is found that the modified solution deviates significantly from the classical counterpart in determining the stress concentration at the corners of the above-mentioned tunnels, and the differences between the modified and classical solutions depend highly on the ratio of the lateral pressure to the vertical pressure (caused by gravity).</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818284","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
Length-dependent wave propagation and directionality in microtubule-based metamaterials based on the consistent couple stress theory 基于一致耦合应力理论的微管基超材料中波长相关的波传播和方向性
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-09 DOI: 10.1007/s00419-025-02800-z
Soroush Sepehri
{"title":"Length-dependent wave propagation and directionality in microtubule-based metamaterials based on the consistent couple stress theory","authors":"Soroush Sepehri","doi":"10.1007/s00419-025-02800-z","DOIUrl":"10.1007/s00419-025-02800-z","url":null,"abstract":"<div><p>The vital role of microtubule networks in crucial cell processes such as cell division and organization of the cell components have encouraged researchers to investigate their properties to a wider extent. However, it has been shown that mechanical properties of microtubules are length-dependent. Therefore, classical continuum theories are incapable of reaching a comprehensive mechanical model for predicting their behavior and higher-order theories are required. Present manuscript aims to investigate the length-dependent wave propagation in microtubule-based periodic lattices of various topologies. To that aim, the consistent couple stress theory is utilized to take the size-dependency into account. Furthermore, the governing equations of motion for the periodic chains of microtubules are solved adopting the finite element method. Results prove that the length-dependency of the behavior of microtubules can affect the wave propagation and filtering capabilities of microtubule-based metamaterials; therefore, size effects need to be considered in modeling the dynamic properties of microtubule-based chains. Moreover, the results obtained by the consistent couple stress theory is compared to the predictions of the modified couple stress theory as well as the classic continuum theory. It is found that higher stiffness predicted by the consistent couple stress theory can lead to a significant change in the wave propagation characteristics of microtubule-based periodic lattices.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809282","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 inerter-enhanced nonlinear piezoelectric–electromagnetic hybrid energy harvester 一种干涉增强型非线性压电-电磁混合能量采集器
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-04 DOI: 10.1007/s00419-025-02797-5
Wenhu Dang, Xuan Wu, Jianjun Qu, Zhaobo Chen
{"title":"An inerter-enhanced nonlinear piezoelectric–electromagnetic hybrid energy harvester","authors":"Wenhu Dang,&nbsp;Xuan Wu,&nbsp;Jianjun Qu,&nbsp;Zhaobo Chen","doi":"10.1007/s00419-025-02797-5","DOIUrl":"10.1007/s00419-025-02797-5","url":null,"abstract":"<div><p>This paper introduces an enhanced nonlinear piezo-electromagnetic hybrid energy harvester, leveraging the inherent tuning capability of the inerter to enhance energy harvesting performance. The governing equations were derived using Hamilton's principle. Both the Runge–Kutta method and the harmonic balance method were used to solve the differential equations, and the results showed excellent agreement. The linearized method was employed to determine the stability of the harmonic balance solutions and to identify the Hopf and Saddle-Node bifurcation points of the system. A parametric study on system output power and energy harvesting efficiency indicated that the stiffness of the nonlinear spring, the magnitude of the acceleration excitation amplitude, the damping coefficient of the beam, the resistance value of the external resistors, and the inertance of the inerter each have unique effects on the system's energy harvesting performance. Notably, the study on the inerter demonstrated that the additional inertial force can significantly enhance output power and energy recycling efficiency at low frequencies. Additionally, the global bifurcation analysis revealed the presence of periodic, multi-periodic, quasi-periodic, and chaotic responses, as well as their transitions under varying parameter conditions. The introduction of the inerter reduces these bifurcation behaviors and enhances the stability of the system's response. These results may pave the way for future advancements in the field of energy harvesting technology. Please check the edit made in the article title. We have checked the edit made in the article title. It is acceptable for us due to its negligible influence on the scientific meaning of this paper.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769732","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
Modeling the viscoelastic behavior of elastomer blends including a diffuse interphase 含扩散界面相的弹性体共混物的粘弹性行为建模
IF 2.2 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-04-02 DOI: 10.1007/s00419-025-02788-6
J. Voges, M. Müller, A. Lang, M. Klüppel, D. Juhre
{"title":"Modeling the viscoelastic behavior of elastomer blends including a diffuse interphase","authors":"J. Voges,&nbsp;M. Müller,&nbsp;A. Lang,&nbsp;M. Klüppel,&nbsp;D. Juhre","doi":"10.1007/s00419-025-02788-6","DOIUrl":"10.1007/s00419-025-02788-6","url":null,"abstract":"<div><p>Blending elastomers is an attractive method for achieving desired mechanical properties in materials. While the experimental characterization of the viscoelastic properties is usually feasible for the pure phases, it can be difficult or even impossible for blends due to their components’ interactions and the complex behavior resulting from their different glass transition temperatures. Typically, blending elastomers results in heterogeneous morphologies comprising regions with (almost) pure phases and finite interphases. The pure phases and interphases both significantly influence the viscoelastic properties. Material modeling and numerical simulations can be employed to understand the phase interactions better and predict the resulting viscoelastic properties. In this contribution, we model and simulate a representative element of a binary blend consisting of natural rubber and styrene butadiene rubber. We use microscope images as the basis for the morphology that we input in our finite element simulations. The morphology is stored within a phase parameter for each spatial point in the domain and is evolved in an Allen–Cahn framework to create differently sized diffuse interphases. These are subsequently used for mechanical simulations to investigate the influence on the storage and loss moduli. Different blend ratios are approached.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02788-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749160","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
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