Meccanica最新文献

{"title":"On the myocardium modeling under multimodal deformations: a comparison between costa’s, Holzapfel and Ogden’s formulations","authors":"Nicolás Laita,&nbsp;Miguel Ángel Martínez,&nbsp;Manuel Doblaré,&nbsp;Estefanía Peña","doi":"10.1007/s11012-025-01959-7","DOIUrl":"10.1007/s11012-025-01959-7","url":null,"abstract":"<div><p>In this study we evaluate the performance of different constitutive biomechanical models, focusing on their ability to reproduce the mechanical behavior of myocardial tissue under various deformation modes. Three constitutive models were analyzed assuming incompressible formulations: the invariant-based formulation of the Costa model, the Holzapfel–Ogden (HO) model, and its extended version (HOE). The study aimed to identify which model provides the best fit for different experimental data, including equibiaxial (EBx), true biaxial (TBx), simple triaxial shear (STS), and combined data sets (Equibiaxial + Shear, True biaxial + Shear). The results showed that the Costa model generally performed better when considering combined datasets, providing a good balance between fitting accuracy and parameter stability, while using the least number of parameters among the contrasted models. The HO model demonstrated reasonable fitting abilities but struggled with non-equibiaxial conditions and clearly orthotropic simple shear datasets. The extended HOE model improved the fitting performance of the standard HO formulation for more complex data, particularly in shear tests, but introduced additional complexity and a higher number of parameters. Therefore, our study highlights the importance of analyzing which validated constitutive formulation is able to adapt to the available experimental data, especially when mixed deformation modes are involved. While all the three models tested performed adequately, the Costa model proved to be the most versatile, especially when dealing with various experimental conditions, providing insights for future research on biomechanical modeling of cardiac tissue.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 8","pages":"2291 - 2324"},"PeriodicalIF":2.1,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11012-025-01959-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230406","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}

{"title":"Spur gear teeth profile optimization through tensor-based kinematics: integrating the Reuleaux method with differential evolution","authors":"Michał Batsch","doi":"10.1007/s11012-025-01970-y","DOIUrl":"10.1007/s11012-025-01970-y","url":null,"abstract":"<div><p>This paper presents a novel method for spur gear tooth profile optimization, addressing the challenge of designing gears with improved performance. Traditional gear designs often compromise between contact stress, wear, and noise. This research explores a wider design space to identify gear profiles offering a better balance. The proposed approach leverages tensor-based kinematics combined with the Reuleaux method for conjugate profile generation, creating a robust framework for exploring potential designs. This framework defines an objective function considering multiple performance criteria. Differential evolution is employed to search for novel tooth profiles minimizing this function. The performance of optimized profiles is compared against existing designs, including involute, S-gears, and cosine gears. Key performance indicators include Hertz contact and subsurface shear stresses, normal force, sliding factor, specific sliding, contact ratio, and gear mesh stiffness. Results demonstrate the method’s effectiveness in generating improved tooth profiles. Optimized solutions exhibited contact and shear stress reductions comparable to 30-degree involute and S-gears, suggesting improved pitting resistance and wear. Some designs showed substantial specific sliding reductions, indicating the potential for reduced heat generation and surface wear. While cosine gears showed reduced contact stress, they also exhibited lower contact ratios, potentially increasing dynamic loads. These optimized solutions offer a promising path towards designing high-performance gears tailored to specific applications. The method effectively explores the vast solution space and generates tooth profiles fulfilling desired optimization trade-offs, paving the way for future research incorporating additional performance criteria and exploring more complex gear geometries.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"1053 - 1077"},"PeriodicalIF":1.9,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896755","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}

{"title":"Dynamics of a flutter-excited articulated ichthyoid propulsor","authors":"Tomasz Szmidt","doi":"10.1007/s11012-025-01974-8","DOIUrl":"10.1007/s11012-025-01974-8","url":null,"abstract":"<div><p>A concept of an ichthyoid propulsor mimicking the undulating motion of a swimming fish is proposed and verified. The propulsor consists of an articulated fluid-conveying pipe with a triangular fin attached to its free end. A sufficiently high flow velocity in the propulsor leads to the instability of the system and the possible appearance of snake-like flutter vibrations. A dynamical model of the system is proposed. It is based on classical Benjamin’s model of the dynamics of an articulated fluid-conveying pipe and Lighthill’s elongated body theory, which quantifies hydrodynamic forces generated by the swimming fish. Parameters of the system for which the propulsor is subject to dynamic loss of stability, leading to the appearance of periodic flutter vibrations, are identified. Methods of bifurcation analysis, supported by numerical simulations, prove that the system can undergo a supercritical Hopf bifurcation. This soft self-excitation yields a stable limit cycle of the system, for which the thrust and lateral forces generated by the propulsor are calculated. It is shown that the mean value of the thrust is positive for a range of swimming speeds. The performance of the propulsor is assessed in relation to the swimming speed. The research may broaden knowledge about articulated pipes conveying fluid and support possible applications of the proposed propulsor.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"1035 - 1052"},"PeriodicalIF":1.9,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896759","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}

{"title":"Workspace analysis of parallel mechanisms by considering active joints ranges of motion using a method based on interval analysis","authors":"Fatemeh Pourkariman,&nbsp;Mehdi Karimi,&nbsp;Payam Varshovi-Jaghargh,&nbsp;Mehdi Tale Masouleh","doi":"10.1007/s11012-024-01892-1","DOIUrl":"10.1007/s11012-024-01892-1","url":null,"abstract":"<div><p>The parallel robots workspace plays an important role in their design and construction. In this paper, a new algorithm is presented based on the concepts of interval analysis to determine the parallel robots workspace by considering joints ranges of motion. The proposed algorithm is based on the kinematics equations, interval arithmetic computations and refinement method. In this algorithm, the system of interval nonlinear equations obtained from kinematic analysis is solved simultaneously and the refinement operation is carried out to accurately calculate the intervals of the equations. A type of refinement operation, namely the slope form, is used in this method to eliminate the excess width of intervals of equations. The proposed algorithm is implemented on 3 and 4-DOF Delta parallel robots of Human and Robot Interaction Laboratory of Tehran university. The workspace of 3-DOF Delta parallel robot and the constant-orientation workspace of 4-DOF Delta parallel obtained from the proposed method for the different active joints ranges of motion are compared with the results of the method based on interval analysis without refinement operation and the geometric method. The results show that the proposed algorithm calculates the parallel robot workspace with appropriate accuracy.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"1015 - 1034"},"PeriodicalIF":1.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896719","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}

{"title":"Static and dynamic performance of porous Ti6Al4V tibia implant designs based on triply periodic minimal surface scaffolds","authors":"Basma Eltlhawy,&nbsp;Noha Fouda,&nbsp;Ibrahim Eldesouky","doi":"10.1007/s11012-025-01967-7","DOIUrl":"10.1007/s11012-025-01967-7","url":null,"abstract":"<div><p>The current study aims to analyze the load transfer between bone and three different TPMS-stem implants designed for tibia-total knee replacement (TKR) application through an initial stage of recovery and after healing time under static and dynamic loading conditions. The TPMS-based scaffolds, Schwarz, diamond, and gyroid, are used for tibia-stem designs. The mechanical performance of TPMS-stem implants was investigated based on von Mises stress for various loading conditions using ANSYS 2021R1. The results showed that TPMS-stem implants increase the maximum von Mises stress on the bone surface under the tibia tray by 14–24% under static loading and 15–36% under dynamic loading compared to solid-stem implants. Also, TPMS-stem implants reduced the maximum von Mises stress in the stem tip area when static and dynamic loading were considered. Stress reductions of 21.3, 21, and 17% were obtained under static loading for diamond, Schwarz, and gyroid stem implants, respectively.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"999 - 1014"},"PeriodicalIF":1.9,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896754","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}

{"title":"Experimental and numerical analysis of hyperelastic prestressed arches","authors":"Filipe Meirelles Fonseca,&nbsp;Paulo Batista Gonçalves","doi":"10.1007/s11012-025-01976-6","DOIUrl":"10.1007/s11012-025-01976-6","url":null,"abstract":"<div><p>In recent decades, there has been an increasing number of researches and applications involving hyperelastic structures, integrating different areas of engineering structures and materials, driven by technological advances in the manufacturing process, many involving multistability and the practical use of snap-through buckling. However, there is little information on the stability of hyperelastic multistable structural elements. The objective of this work is, therefore, to study experimentally and numerically the stability of hyperelastic arches, a structural form found in many applications. The arches are made of rubber-like material (polyvinyl siloxane), an elastomer that closely conforms to the incompressible hyperelastic ideal, which is described by the constitutive polynomial model. Uniaxial tests are used to determine the material constants. The aid of a digital image record during the tests allows an in-depth analysis of the deformation field. Several specimens are tested, covering a large range of rise-to-span ratios and two cross-section geometries, thus allowing for an in-depth understanding of the multistable behavior of pre-compressed hyperelastic arches. The tests are conducted under displacement control, allowing the determination of load and displacement limit points. Excellent correlation is obtained between the experiments and the nonlinear equilibrium paths obtained using three-dimensional finite element models. The results obtained show that the arches, due to the flexibility of hyperelastic materials, can undergo large displacements and rotations without damage, giving them great potential for energy absorption and storage. Density is a crucial property of rubber, significantly influencing its structural response. The important role of self-weight on bifurcation loads and nonlinear equilibrium paths is demonstrated here. Understanding the non-linear behavior and stability of these structures is important in practical applications such as vibration control, energy absorption and harvesting, metamaterials development, bioengineering, medicine, and flexible robots, among others.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 8","pages":"2389 - 2409"},"PeriodicalIF":2.1,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230476","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}

{"title":"On the mathematical modelling of 2D fluid foams","authors":"Cesare Davini,&nbsp;Paolo Podio-Guidugli","doi":"10.1007/s11012-025-01964-w","DOIUrl":"10.1007/s11012-025-01964-w","url":null,"abstract":"<div><p>Fluid foams are two-phase fluids with a great variety of textures which may change during their deformation processes. Their continuum mechanical modelling is made problematic by the difficulty of individuating what to regard as a material point. In Part 1, the simplest shearing motion of a monodisperse, close-packed, two-dimensional fluid foam is here revisited. In Part 2, the notion of a foamy continuum, that is, an ordinary continuum body imitating the foam’s behaviour, is introduced. The final section contains a brief discussion of the thermodynamics of a shear deformation process involving a topological change of texture.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 8","pages":"2507 - 2517"},"PeriodicalIF":2.1,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11012-025-01964-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230251","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}

{"title":"Dynamics of spur gear pairs considering meshing impacts based on energy methods","authors":"Lingyun Zhu,&nbsp;Yanfa Guan,&nbsp;Xiangfeng Gou","doi":"10.1007/s11012-025-01963-x","DOIUrl":"10.1007/s11012-025-01963-x","url":null,"abstract":"&lt;div&gt;&lt;p&gt;The value of meshing impact is highly recognized due to its effect on vibration and noise in mechanical systems. Meshing impacts were investigated in the past using the impulse method characterized by smaller impact forces and longer impact times. They are calculated using the energy method in the paper to demonstrate that the impact force is over eight times greater than that method, while impact time is reduced to approximately one-sixth of that method. An improved model of meshing impact has been developed based on the kinetic energy theorem and Hertzian contact theory to enhance the accuracy of the results. An improved nonlinear dynamics model of spur gear pairs has been developed based on meshing impacts. The &lt;i&gt;i&lt;/i&gt;th tooth pair from meshing-in to meshing-out will experience meshing-in impact (MII) → double tooth-pair meshing zone (DTMZ) → double-to-single switching impact (DSSI) → single tooth-pair meshing zone (STMZ) → single-to-double switching impact (SDSI) → DTMZ → meshing-out impact (MOI). Boundary impacts are observed when the gear teeth arrive at the boundary from disengagement, including driving-tooth-side boundary impact (DBI) and backing-tooth-side boundary impact (BBI). The dynamics of the system both with and without the meshing effects are investigated using bifurcation diagrams, top Lyapunov exponent (TLE) diagrams, Poincaré maps, phase portraits, and force–time diagrams. The results indicate that larger force mutations lead to more pronounced impact phenomena and greater changes in displacement and velocity. This research lays the groundwork for future investigations into the meshing impacts of other gears. @@ The &lt;i&gt;i&lt;/i&gt;th teeth from meshing-in to meshing-out will experience meshing-in impact &lt;span&gt;((t_{{{text{Mi}}}}^{i} to t_{{{text{Mi1}}}}^{i} ))&lt;/span&gt; → double tooth-pair meshing zone &lt;span&gt;((t_{{{text{Mi1}}}}^{i} to t_{{text{A}}}^{i} ))&lt;/span&gt; → double-to-single switching impact &lt;span&gt;((t_{{text{A}}}^{i} to t_{{{text{A1}}}}^{i} ))&lt;/span&gt; → single tooth-pair meshing zone &lt;span&gt;((t_{{{text{A1}}}}^{i} to t_{{text{C}}}^{i} ))&lt;/span&gt; → single-to-double switching impact &lt;span&gt;((t_{{text{C}}}^{i} to t_{{{text{C1}}}}^{i} ))&lt;/span&gt; → double tooth-pair meshing zone &lt;span&gt;((t_{{{text{C1}}}}^{i} to t_{{{text{Mo}}}}^{i} ))&lt;/span&gt; → meshing-out impact &lt;span&gt;((t_{{{text{Mo}}}}^{i} to t_{{{text{Mo1}}}}^{i} ))&lt;/span&gt; according to the multi-state meshing and meshing impacts of the spur gear pair. Boundary impacts are observed when a tooth reaches the boundary from disengagement, including driving-tooth-side boundary impact and backing-tooth-side boundary impact. An improved model of meshing impact has been established based on the kinetic energy theorem and Hertzian contact theory. An improved nonlinear dynamics model of spur gear pair is developed based on the multi-state meshing and meshing impacts. The dynamics of the system considering meshing impacts and without meshing impacts are investigated using bifurcation diagrams, ","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"973 - 997"},"PeriodicalIF":1.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896725","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}

{"title":"Special issue: analysis and design of shell and spatial structures","authors":"Sigrid Adriaenssens,&nbsp;Amedeo Manuello Bertetto,&nbsp;Francesco Marmo","doi":"10.1007/s11012-025-01975-7","DOIUrl":"10.1007/s11012-025-01975-7","url":null,"abstract":"","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 3","pages":"497 - 498"},"PeriodicalIF":1.9,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809208","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}

{"title":"Dynamic analysis and driving parameters study of bidirectional solar array system with multiple clearance joints","authors":"Yingyong Shen,&nbsp;Cong Wang,&nbsp;Yuntao Hua,&nbsp;Shiyu Tan,&nbsp;Qiuyao Zheng,&nbsp;Jingbo Gao","doi":"10.1007/s11012-025-01965-9","DOIUrl":"10.1007/s11012-025-01965-9","url":null,"abstract":"<div><p>Torsion springs are commonly used as drive devices in spacecraft solar array systems. In this study, a multibody dynamic model of a spatial bidirectional solar array with multiple clearance joints is established to investigate the dynamic characteristics of a variable topology solar array system. A multistage solving strategy is proposed to ensure the multiple deployment processes of the system. The influences of the driving parameters on the dynamic behaviours, collision characteristics and spacecraft attitude of the system are thoroughly revealed. The effects of clearances on the vibration and stability of the solar array are also analysed. Latch time, peak angular velocity and stabilization period are proposed as key metrics to analyse the system dynamic characteristics. The results demonstrate that increasing the driving parameters reduces the latch times and increases peak angular velocities. Based on the stabilization period trends, the driving parameters are classified into stable and unstable regions. In stable regions, larger driving parameters accelerate vibration attenuation and reduces the nonlinearity and chaos of the system, thus facilitating quicker suppression of the contact forces. Moreover, clearances exacerbate angular velocity oscillations and lead to faster vibration attenuations of the solar panels. For the spacecraft attitude, larger driving parameters induce earlier shifts in the roll and pitch channels and significantly increase the yaw angle.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 4","pages":"953 - 972"},"PeriodicalIF":1.9,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896753","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}