Acta MechanicaPub Date : 2025-03-11DOI: 10.1007/s00707-025-04275-z
Marko V. Lubarda, Vlado A. Lubarda
{"title":"Nipping analysis of rectangular leaf springs","authors":"Marko V. Lubarda, Vlado A. Lubarda","doi":"10.1007/s00707-025-04275-z","DOIUrl":"10.1007/s00707-025-04275-z","url":null,"abstract":"<div><p>Nipping analysis of graduated-length leaf springs with uniform rectangular cross section of all leaves is presented. Initial gaps between leaves of the pre-assembled spring are determined such that the maximum bending stresses in all the leaves of the assembled and externally loaded spring become equal to each other. The expressions are derived for leaf springs consisting of two-to-five graduated-length leaves, which are stiffened by an additional full-length leaf placed atop. The reduction of the maximum bending stress achieved by nipping is quantified in each case. The deformed shapes and the residual gaps between the leaves in the loaded spring configuration are determined and discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 4","pages":"2363 - 2382"},"PeriodicalIF":2.3,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04275-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809199","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}
Acta MechanicaPub Date : 2025-03-10DOI: 10.1007/s00707-025-04240-w
Peng-Fei Hou, Hai-Yang Jiang
{"title":"Study on the interface effect in a coated transversely isotropic material based on the three-dimensional green’s function for a normal point force","authors":"Peng-Fei Hou, Hai-Yang Jiang","doi":"10.1007/s00707-025-04240-w","DOIUrl":"10.1007/s00707-025-04240-w","url":null,"abstract":"<div><p>This study presents a comprehensive analysis of layered materials, focusing on the behavior of coated transversely isotropic materials under normal point forces. With the growing application of such materials in engineering, this work addresses key challenges in their design and analysis. Due to the thin coating layers and steep stress gradients, achieving accurate calculations—particularly at the interface—using commercial software remains difficult. To overcome this, we propose an exact solution for the three-dimensional elastic field of coated structures subjected to a normal point force, based on the general solution for transversely isotropic materials. The derived solution, expressed through elementary functions, exhibits excellent convergence, accuracy, and stability. Numerical results are illustrated as stress component contours, offering valuable insights into interface effects and potential tensile and shear delamination. These findings contribute significantly to the precise design and analysis of coated materials, advancing their application in high-performance engineering systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2765 - 2787"},"PeriodicalIF":2.3,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930022","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}
Acta MechanicaPub Date : 2025-03-07DOI: 10.1007/s00707-025-04273-1
Yuhang Wang, Lifeng Wang, Yuqiang Gao
{"title":"Metamaterial beam with resonators of active feedback control to broaden and tune the bandgaps","authors":"Yuhang Wang, Lifeng Wang, Yuqiang Gao","doi":"10.1007/s00707-025-04273-1","DOIUrl":"10.1007/s00707-025-04273-1","url":null,"abstract":"<div><p>Broadening and tuning the bandgap properties are important for the application of locally resonant metamaterials. However, the bandgap of classical locally resonant metamaterials is generally narrower. In this paper, a locally resonant metamaterial beam with active feedback control systems is proposed to broaden and tune the bandgap. The dispersion relation and transmissibility of the active control locally resonant metamaterial beam are obtained via the spectral element method and finite element method. The results show that the lower limit of locally resonant bandgap moves to lower frequency; meanwhile, the upper limit of locally resonant bandgap moves to higher frequency with the change of control gain. It breaks the restriction of locally resonant bandgap frequency range moving to higher frequency or lower frequency at the same time. The frequency range of the bandgap is greatly broadened. The locally resonant and Bragg bandgaps are coupled to form a broad bandgap by tuning the control gain and introducing damping. The metamaterial with damping can achieve vibration suppression over a wider frequency range. Vibration suppression over a wide frequency range is verified via the finite element method. The control robustness analysis is verified by considering the effects of noise and stiffness deviation on the system. This paper provides a novel method for broadband vibration suppression.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2331 - 2343"},"PeriodicalIF":2.3,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638512","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}
Acta MechanicaPub Date : 2025-03-06DOI: 10.1007/s00707-024-04201-9
Theresa E. Honein, Oliver M. O’Reilly
{"title":"On the dynamics of a collapsing set of blocks","authors":"Theresa E. Honein, Oliver M. O’Reilly","doi":"10.1007/s00707-024-04201-9","DOIUrl":"10.1007/s00707-024-04201-9","url":null,"abstract":"<div><p>The dynamics of a collapsing stack of rigid blocks is explored in the present paper. Stacks of this type are ubiquitous mechanical systems that can be used to model boxes stacked in warehouses, containers on ships, and stacks of boxes being transported by robots. Although studies on the dynamics of a single block moving on a horizontal plane are well known to exhibit complex dynamics when the plane is subject to a harmonic motion, the dynamics of a stack of blocks proves to be far more complex in part because of frictional contacts and impacts between the blocks and the wide range of potential configurations. As analytical methods are untractable to study the dynamics of these systems, recourse to numerical methods is necessary. In the present paper, a non-smooth generalized-alpha method for systems with frictional contact and impact is used to compute the dynamics of the stack. The method is used to examine the instability of the Leaning Tower of Lire and the collapse of a stack of blocks under harmonic excitation. While the simulations show the expected result that high-frequency excitation of the bottom block of a stack tends to stabilize a stack, they also reveal the existence of an abundance of distinct numerical solutions stemming from a unique initial configuration. The abundance of solutions has application to robotics as it illuminates the challenges of controlling the motion of a robot so that it can successfully transport a stack of blocks.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 4","pages":"2345 - 2362"},"PeriodicalIF":2.3,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04201-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809211","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}
Acta MechanicaPub Date : 2025-03-04DOI: 10.1007/s00707-025-04272-2
Lei Zhang, Rong Wang, Rencai He, Changxin Tang
{"title":"A new method of determining symmetry types of the fifth-order elastic stiffness tensor in the (first) strain-gradient theory","authors":"Lei Zhang, Rong Wang, Rencai He, Changxin Tang","doi":"10.1007/s00707-025-04272-2","DOIUrl":"10.1007/s00707-025-04272-2","url":null,"abstract":"<div><p>A new method without constraint on orders is proposed in this paper to determine the symmetry types of the fifth-order elastic stiffness tensor in the (first) strain-gradient theory. The odd-order tensor seems more complex than the even-order tensor in terms of symmetry problems. Based on the knowledge of the irreducible decomposition of high-order tensors and the multi-polar representations of deviator, the new method solves symmetry problems by a process of elimination, which is clear and simpler than the methods proposed before. By virtue of the pattern of the unit vector set of deviators, the natural coordinate system and the number of distinct components among the 28 types of the fifth-order elastic stiffness tensor also have been given, which is of great importance to the (first) strain-gradient theory under anisotropy.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2315 - 2330"},"PeriodicalIF":2.3,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638261","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04270-4
Mourad Benadouda, Mohammed El Amin Bourouis, Mouloud Dahmane, Riadh Bennai, Hassen Ait Atmane, Omar Safer
{"title":"Dynamic response of wave propagation in functionally graded beams with defects: effects of porosity and cracks","authors":"Mourad Benadouda, Mohammed El Amin Bourouis, Mouloud Dahmane, Riadh Bennai, Hassen Ait Atmane, Omar Safer","doi":"10.1007/s00707-025-04270-4","DOIUrl":"10.1007/s00707-025-04270-4","url":null,"abstract":"<div><p>The analysis of the dynamic response to wave propagation in the FG pinned–pinned beams with various defects, such as cracks and varying porosity distributions, is what this paper has to offer. The bidirectional distribution, which is primarily represented in the density, Poisson coefficient, and Young's modulus, is taken into consideration while developing higher-order shear deformation beam theory for wave propagation in defective FG structure beams. A power law index is used to assess the thickness and width of the porous FG beam's material properties. Using Hamilton's principle, the governing equations of wave propagation in the multi-crack porous 2D-FG beam are derived. An eigenvalue problem is solved to determine the bidirectional porous FG beam's analytic dispersion relation. Three models of porosity that approximate distributions were examined. There was a high degree of consistency between the results obtained for bidirectional FG cracked beams and those documented in the literature. The influence of different parameters, the number of waves propagating, the volume fraction distributions, and the porosity models on the dynamic of wave propagation modes in imperfect functionally graded beams are covered in detail, and to look into how significant parameters affect the damaged structure's dynamic behavior. This study innovates by combining the simultaneous analysis of the effects of bidirectional porosity and multiple cracks, thus providing a more complete understanding of the complex interactions influencing wave propagation. In addition, it proposes new porosity models adapted to composite materials, which had not been fully explored in previous research.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2279 - 2296"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638270","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04261-5
Carol Lee Chalermsin, Tohya Kanahama, Motohiro Sato
{"title":"Morphogenesis strategies of hollow plants: avoidance of ovalization","authors":"Carol Lee Chalermsin, Tohya Kanahama, Motohiro Sato","doi":"10.1007/s00707-025-04261-5","DOIUrl":"10.1007/s00707-025-04261-5","url":null,"abstract":"<div><p>Ovalization of a cross-section is a dominant cause of failure in hollow plants subjected to bending. This study investigates the optimal spatial arrangement of fibers to maximize flexural rigidity during transverse bending by examining the morphology of bamboo. Bamboo, a hollow plant, exhibits self-adaptive properties that potentially account for its distinct vascular bundle distribution. By deriving the volume fraction of fibers in the longitudinal direction and equations for transverse flexural rigidity, the study identifies the optimal fiber distribution. The results indicate that a parabolic distribution of fibers is optimal for avoiding ovalization. Furthermore, a comparison with Moso bamboo reveals that this calculated optimal distribution matches the actual fiber arrangement near the bamboo's base, where the ovalization effect is significant. Moso bamboo behaves like a cylindrical shell, with high bending moments causing pronounced ovalization, while in other regions, it resembles a beam with lower bending moments.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2269 - 2278"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04261-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638269","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04276-y
Jialing Li, Huoming Shen, Chi Hu, Guoyong Zhang, Juan Liu, Yuxing Wang
{"title":"Semi-analytical solutions of three-dimensional thermoelectromechanical coupling frictionless contact problem of thermoelectric materials","authors":"Jialing Li, Huoming Shen, Chi Hu, Guoyong Zhang, Juan Liu, Yuxing Wang","doi":"10.1007/s00707-025-04276-y","DOIUrl":"10.1007/s00707-025-04276-y","url":null,"abstract":"<div><p>This study presents a detailed analysis of the three-dimensional thermoelectromechanical coupling frictionless contact problems for thermoelectric materials. The transformed Green’s functions, known as frequency response functions, for thermoelectric materials under the combined influence of multiple physical fields are analytically derived. The surface pressure, heat flow, and electric current then are numerically calculated with the help of the conjugate gradient method and discrete convolution–fast Fourier transform arithmetic. A comparative study is conducted to demonstrate the validity and convergence of the semi-analytical model. A detailed parametric analysis is carried out to investigate the interaction mechanisms between externally applied physical fields, such as current and energy flux, and contact responses, including contact pressure, contact radius, and others. The research findings are of significant importance for the optimization design of contact performance in thermoelectric materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2297 - 2314"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638271","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}
Acta MechanicaPub Date : 2025-03-02DOI: 10.1007/s00707-025-04260-6
Ming-Jun Zhao, Song Cen, Yan Shang, Chen-Feng Li
{"title":"Development of new thermoelastic Petrov–Galerkin finite elements with enhanced precision and distortion tolerance","authors":"Ming-Jun Zhao, Song Cen, Yan Shang, Chen-Feng Li","doi":"10.1007/s00707-025-04260-6","DOIUrl":"10.1007/s00707-025-04260-6","url":null,"abstract":"<div><p>The finite element method (FEM) serves as a crucial tool for addressing problems involving thermoelastic coupling. However, most current thermoelastic elements inherit shortcomings from the conventional finite element models, such as the sensitivity problem in relation to mesh distortion. The aim of this article is to extend some recent element techniques to thermoelastic analysis by developing new Petrov–Galerkin finite elements with high precision and distortion tolerance. This includes a plane 4-node 12-DOF (two displacements and one temperature per node) quadrilateral element US-ATFQ4T and a 3D 8-node 32-DOF (three displacements and one temperature per node) hexahedral element US-ATFH8T. The coupling stiffness matrices of the elements are meticulously assembled by the derivation from the virtual work principle. The mechanical part employs two different sets of shape functions: the isoparametric interpolation for test functions and the interpolation with a sequence of general solutions of homogenous control equations in linear elasticity, named by analytical trial functions (ATFs), for trial functions. The thermal part follows the traditional isoparametric interpolation mode. Numerical examples demonstrate high performance of the proposed elements with quality results even under coarse and distorted meshes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2233 - 2268"},"PeriodicalIF":2.3,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638214","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}
Acta MechanicaPub Date : 2025-03-01DOI: 10.1007/s00707-025-04268-y
Hadi Ghashochi-Bargh, Iman Keshtegar
{"title":"A simple analytical model for static and dynamic analysis of unsymmetrical bi-stable variable stiffness composite laminated plates","authors":"Hadi Ghashochi-Bargh, Iman Keshtegar","doi":"10.1007/s00707-025-04268-y","DOIUrl":"10.1007/s00707-025-04268-y","url":null,"abstract":"<div><p>Bi-stable variable stiffness (VS) structures are passive systems that can maintain equilibrium after shape changes, making them a promising approach for adaptive structures. In this paper, a simple analytical model based on the Rayleigh–Ritz method is used for static and dynamic analysis of square and rectangular unsymmetrical bi-stable VS composite laminated plates, and Hamilton’s principle is used to investigate the dynamic snap-through phenomena. The effects of ply thickness, ply angles, and aspect ratio on strain energy and out-of-plane displacements of two stable states and dynamic snap-through are investigated. Also, the obtained analytical results are compared with finite element analysis to validate the accuracy of model. The obtained results show a good agreement between the analytical and finite element method, and show the good efficiency of the present method for use in VS composite structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2211 - 2231"},"PeriodicalIF":2.3,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638210","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}