Acta Mechanica最新文献

{"title":"Generalized boundary continuous method for the free vibration solution of clamped porous plates","authors":"RW. Laureano,&nbsp;JL. Mantari,&nbsp;J. Yarasca","doi":"10.1007/s00707-025-04499-z","DOIUrl":"10.1007/s00707-025-04499-z","url":null,"abstract":"<div><p>This article presents analytical closed-form solutions for the free vibration response of isotropic and porous plates with fully clamped (C4) boundary conditions. For the first time, the double Fourier series-based boundary continuous method (BCM) and the Carrera unified formulation (CUF) are used to obtain analytical solutions for the highly coupled partial differential equations of motion. The Taylor-like polynomials are employed within the CUF-based displacement field to accurately model the complex behavior of the plate along the thickness direction. The equations of motion and natural boundary conditions are derived by using the principle of virtual displacement (PVD). The BCM is employed to solve the governing equations yielding strong-form (exact in the limit) solutions. The validity and robustness of combining CUF and BCM are assessed by detailed comparison with 3D and 2D references available in the open literature and, where possible, with commercial software. The effects of the number of trigonometric terms <span>(left(m,nright))</span> of the double Fourier series-based solution, side-to-thickness ratio <span>(left(b/hright))</span>, porous distribution patterns, and porosity coefficient <span>(left({e}_{0}right))</span> on the accuracy and convergence characteristics of the proposed methodology are investigated. Finally, the proposed strategy of solution appears to be suitable for predicting the natural frequencies of structures using data-driven artificial intelligence.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1715 - 1737"},"PeriodicalIF":2.9,"publicationDate":"2025-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588390","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 effects of anisotropy on the flocculation of cohesive particles in turbulence","authors":"Alexandre Leonelli,&nbsp;Eckart Meiburg","doi":"10.1007/s00707-025-04579-0","DOIUrl":"10.1007/s00707-025-04579-0","url":null,"abstract":"<div><p>Particle-resolved direct numerical simulations of finite-sized cohesive particles suspended in a turbulent channel flow are performed to study the effects of an anisotropic flow field on the aggregation, breakup, and restructuring of cohesive particles, known as flocculation. The strength of the cohesive force and the density ratio between particle and fluid are varied. Consistent with findings in simplified cellular flows (Zhao et al. in J Fluid Mech 889:3, 2020) and homogeneous isotropic turbulence (Zhao et al. in J Fluid Mech 921:17, 2021), the evolution of floc morphology through an initial aggregation-dominated transient is well modeled as a first-order relaxation process. The flocculation rate and amplitude of relaxation of the floc morphology metrics, averaged over all flocs, are found to follow power-law relations with St and Co. The channel is binned and a similar analysis performed on the time evolution of locally binned average floc sizes. Doing so reveals the dependence on the wall-normal direction of the flocculation rate and relaxation amplitude. Scaling the local flocculation parameters with their bulk values results in a collapse, suggesting that St and Co globally modify the flocculation dynamics. Finally, the flocculation rate associated with the exponential rate of decay is found to correlate directly with the wall-normal profile of mean shear.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1699 - 1713"},"PeriodicalIF":2.9,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588626","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":"Rayleigh wave propagation in a rotating transversely isotropic thermoelastic medium under the influence of initial stress and dual thermal relaxation times","authors":"Sharif Abu Alrub,&nbsp;Emad K. Jaradat,&nbsp;S. M. Abo-Dahab,&nbsp;Rajneesh Kumar,&nbsp;Hanan S. Gafel,&nbsp;E. S. Elidy","doi":"10.1007/s00707-025-04564-7","DOIUrl":"10.1007/s00707-025-04564-7","url":null,"abstract":"<div><p>This paper develops a new generalized model for the propagation of Rayleigh-type surface waves in a rotating transversely isotropic thermoelastic medium under the influence of initial stress and dual thermal relaxation times. The governing field equations are formulated within the framework of the Lord–Shulman generalized thermoelasticity theory and are transformed using the Hankel transform technique to derive a new secular determinant equation that governs surface wave propagation. The model simultaneously accounts for rotation, anisotropy, and pre-stress, representing a significant extension of classical thermoelastic formulations. Numerical evaluations illustrate the distinct effects of rotation, initial stress, and relaxation times on phase velocity and attenuation coefficients. The results reveal that increasing rotation and pre-stress reduces the phase velocity, while thermal relaxation parameters modify dispersion behavior. The study offers new insights applicable to seismic wave modeling, rotating machinery stability, and material characterization of anisotropic solids.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1649 - 1697"},"PeriodicalIF":2.9,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04564-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588628","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":"Publisher Correction: Robust input shaping for residual vibration suppression in overhead crane systems with suspended beams","authors":"Faisal Alobaid,&nbsp;Khalid Alghanim,&nbsp;Khaled Alhazza","doi":"10.1007/s00707-025-04540-1","DOIUrl":"10.1007/s00707-025-04540-1","url":null,"abstract":"","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1967 - 1967"},"PeriodicalIF":2.9,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588627","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":"Effect of fractional-order derivative on magneto-thermoelasticity for an infinitely long solid bi-layered conducting cylinder subjected to laser pulse","authors":"M. A. Elhagary","doi":"10.1007/s00707-025-04554-9","DOIUrl":"10.1007/s00707-025-04554-9","url":null,"abstract":"<div><p>The problem of an infinitely long solid bi-layered cylinder composed of two different conducting materials is considered within the context of the fractional-order theory of thermoelasticity. In the presence of a constant magnetic field, the cylinder is composed of a solid cylinder surrounded by a thick cylindrical shell of different material whose lateral surface is traction-free and subjected to laser pulses. A direct approach and Laplace transform techniques are used to derive the solution in a transformed domain. The inversion process is carried out using a numerical method based on Fourier series expansions. Numerical computations for the results are carried out and represented graphically. The application of the magnetic field to cylindrical shapes is very important because it is always present in the production of machine components. The results show the effect of fractional parameter α on the speed of waves. The effect of the time duration of a laser pulse <i>t</i>_<i>p</i> is noted on all distributions. The applied magnetic field H₀ has a very weak effect on the temperature and displacement but has a noticeable effect on the stresses. The result provides an impetus for the investigation of thermoelastic materials as a new class of applicable materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1631 - 1648"},"PeriodicalIF":2.9,"publicationDate":"2025-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04554-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588625","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":"Forward kinematics and dynamics modeling of a 2PRU-1PRS parallel manipulator","authors":"Anubhav Mishra,&nbsp;Pawan Kumar,&nbsp;Partho Ghosh,&nbsp;Nachiketa Tiwari","doi":"10.1007/s00707-025-04581-6","DOIUrl":"10.1007/s00707-025-04581-6","url":null,"abstract":"<div><p>This work offers forward kinematics and dynamics models of a 2PRU-1PRS parallel manipulator. Such models can be very useful while designing multidirectional vibration test equipment which can simulate road disturbances. The work presented here is important for several reasons. First, an accurate and computationally efficient forward kinematics model of the system can eliminate the need for sensors and all other associated hardware required for tracking the vibrating platform. Second, a reliable forward dynamics model allows for simulation of the control mechanism of the system, without relying on expensive and proprietary commercial software. Sans its availability, the overall control architecture of the system requires a “block” developed in commercial software environment to mimic the system’s forward dynamics in simulations. Having a reliable forward dynamics model eliminates the need for such expensive software. Finally, our forward dynamic model can also be used to develop model-based controllers for trajectory tracking applications. In context of the forward kinematics model which has been experimentally validated, we present corresponding nonlinear simultaneous equations which relate actuator displacements with the pose of the vibration table. These relations are numerically solved via a special scheme which provides accurate initial guesses, thereby ensuring fast convergence. Our forward dynamics model utilizes the Euler–Lagrange approach in a way which is computationally faster vis-a-vis methods used earlier for systems with similar complexity. Our models have been duly validated against simulations carried out in <span>(text {ADAMS}^{text {TM}})</span>.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1609 - 1630"},"PeriodicalIF":2.9,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588624","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":"Thermal vibration and forced vibration of the FG graphene origami enabled auxetic metamaterial plate with the nonlinear variable thickness on visco-Pasternak foundations via the isogeometric analysis","authors":"Quoc Hoa Pham,&nbsp;Thanh Cuong-Le","doi":"10.1007/s00707-025-04573-6","DOIUrl":"10.1007/s00707-025-04573-6","url":null,"abstract":"<div><p>This work aims to investigate the free oscillation and transient response of functionally graded (FG) graphene origami (GOri)-enabled auxetic metamaterial (FG-GOEAM) plate with nonlinear variable thickness, resting on visco-Pasternak foundation in thermal environment and subjected to blast load. Because of their remarkable mechanical and physical characteristics, including their high strength-to-weight ratio, tunable stiffness and strength, and negative Poisson’s ratio (NPR), FG-GOEAM structures have demonstrated tremendous potential for a range of technical applications. Based on the Hamilton principle combined with the higher-order shear deformation theory (HSDT), the weak forms for free oscillation and transient response of the FG-GOEAM plate with nonlinear variable thickness is established, then the isogeometric approach (IGA) and the Newmark direct integration method are used to obtain the natural frequency value and dynamic response. A comprehensive coefficients study is conducted to reveal the influences of Gori’s folding degree, viscoelastic foundation stiffness, temperature difference, distribution pattern, weight fraction, and plate dimensions on the free oscillation and transient response of the FG-GOEAM plate under blast load. Numerical results show that the FG-GOEAM plate with NPR significantly outperforms its pristine metallic counterpart in terms of resistance to the impact of dynamic loads, especially explosive loads.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1579 - 1607"},"PeriodicalIF":2.9,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588544","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":"Finite element natural frequency analysis of cubic materials with couple stresses","authors":"T. K. Scully,&nbsp;G. F. Dargush,&nbsp;O. Lavan,&nbsp;B. T. Darrall","doi":"10.1007/s00707-025-04567-4","DOIUrl":"10.1007/s00707-025-04567-4","url":null,"abstract":"<div><p>A novel variational formulation is developed for natural frequency analysis of couple stress elastic continua. This formulation is based on extremization of a correlated action of the primary variables in the frequency domain. To reduce continuity requirements from <span>({C}^{1})</span> to <span>({C}^{0})</span>, Lagrange multipliers are employed to satisfy curvature–displacement compatibility and the essential boundary conditions on rotations in a variational sense, thus resulting in a mixed formulation with displacement and couple stress vectors as primary field variables. Using this variational framework to create a weak form, a two-dimensional finite element method is developed to carry out size-dependent natural frequency analysis of cubic elastic solids for the first time under consistent couple stress theory. The elements used are linear constant strain triangles with additional degrees of freedom on the edges, where tangential components of couple stress are assigned. Elements of this variety are referred to as edge elements or vector finite elements and have a distinct benefit in this case of ensuring the divergence free nature of couple stresses. Two fundamental computational examples are considered under plane strain conditions. First, a slender cantilever beam is examined for an isotropic material, along with corresponding single crystal aluminum and copper beams to explore the effects of anisotropy. A Rayleigh quotient analysis is carried out to quantify couple stress contributions to frequencies and mode shapes, and a modal participation analysis is performed to quantify how each mode contributes to motion in the coordinate directions. Finally, a hollow circular cylinder, both closed and with a small opening, is studied for the isotropic material and single crystal copper. Interesting results show a shift toward isotropic behavior for the copper cylinder and a reduction in the influence of the opening for both materials as the couple stress length parameter increases. With the ongoing push for new technologies on the micro- and nano-scale for applications in sensing, actuating and energy harvesting, the physical phenomena studied in this paper are important to consider for predicting mechanical behavior in this domain. In particular, understanding the role of size-dependent response becomes critical for effective design.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1551 - 1577"},"PeriodicalIF":2.9,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04567-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588623","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":"A new paradigm for deriving the higher-order 2D Hermite polynomial basis: Part I—a fully integrated WQEM formulation for some fourth-order systems","authors":"Mohamed Trabelssi","doi":"10.1007/s00707-025-04571-8","DOIUrl":"10.1007/s00707-025-04571-8","url":null,"abstract":"<div><p>A new paradigm for deriving 2D Hermite basis based solely on 1D Lagrange polynomials is presented in this paper. This approach significantly simplifies the development of a novel weak-form quadrature element method (WQEM) for 2D fourth-order systems present in the nano-mechanics field as well as thin plate problems. The new formulation is computed based on regular 1D Lagrange-based DQM while also giving access to the analytical expression of the new 2D Hermite basis. This is achieved through the development of purpose build transfer matrices between a number of 2D polynomial bases. A key advantage of the proposed WQEM formulation is the use of a non-tensor product basis and the development of high-order 2D Hermite polynomials without second derivatives at the corner points. This solves the mismatch between the physical degrees of freedom and those provided by the WQEM formulation generally found in classical implementations. Furthermore, using the analytical expression of this new basis and a set of matrix transformations, full integration was achieved for the proposed WQEM element. The free vibration of skew thin plates with various skew angles and different combinations of boundary conditions is used to assess the convergence and the accuracy of the proposed formulation. Convergence studies demonstrated that, despite its relative simplicity, the proposed method achieves convergence rates comparable to, or faster than, other existing formulations while maintaining similar accuracy. The method’s performance and accuracy were evaluated against data from the literature and finite element method simulations, revealing that the proposed WQEM yields precise frequency results even for significantly skewed angles. Application for the present approach to generate DQM matrix-based high-order formulations is discussed in Part II.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1517 - 1550"},"PeriodicalIF":2.9,"publicationDate":"2025-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588505","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":"Theorems in the generalized thermoelasticity based on the thermomass motion in the modified Green–Lindsay theory","authors":"Pravin Kumar,&nbsp;Rajesh Prasad","doi":"10.1007/s00707-025-04574-5","DOIUrl":"10.1007/s00707-025-04574-5","url":null,"abstract":"<div><p>A novel theoretical formulation is developed within the framework of generalized thermoelasticity by adding thermomass motion into the modified Green–Lindsay theory. The basic governing equations for an isotropic, homogeneous medium are established to characterize the coupled thermal and mechanical responses. A uniqueness theorem is rigorously proved, ensuring the well-posedness and physical consistency of the corresponding mixed initial boundary value problem. Furthermore, a reciprocity theorem is derived using the Laplace transform technique, and extended forms of the Somigliana theorem and Green’s function are applied to determine temperature and displacement fields. The proposed theory offers a refined understanding of thermoelastic interactions under the influence of thermomass motion as well as relaxation phase effects. Including thermomass motion into the modified Green–Lindsay theory introduces nonlinearities from the inertial and convective nature of heat flux. These effects, arising from flux convection and stress dependence, lead to nonlinear hyperbolic equations that become prominent under rapid thermal loading or high temperature gradients, significantly affecting wave speeds and thermoelastic behavior. This theorem provides valuable insights into the mutual influence and interaction between different aspects of the system under consideration.\u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1499 - 1515"},"PeriodicalIF":2.9,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588630","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}