Jinpeng Su, Shanlu Lv, Yiqiang Jiang, Run Tao, Zhiyang Lei
{"title":"Vibro-acoustic properties and control of submerged functionally graded carbon nanotube-reinforced cylindrical shell with double-layer floating isolating system","authors":"Jinpeng Su, Shanlu Lv, Yiqiang Jiang, Run Tao, Zhiyang Lei","doi":"10.1007/s00419-026-03149-7","DOIUrl":"10.1007/s00419-026-03149-7","url":null,"abstract":"<div><p>This study proposes an energy-based method for vibro-acoustic properties of functionally graded carbon nanotube-reinforced composite submerged cabins integrated with double-layer floating isolating system. In this method, a unified variational principle is developed not only to address mechanical coupling between isolating system and the cabin, but also to consider acoustic-structure coupling between the cabin and surrounding fluid. Arbitrary boundary conditions and various distributions for the composite material can also be considered. Based on the moderately thick plate or shell theory and Helmholtz equation, energy equations for the structural and acoustic domains are obtained, respectively. Fluid–structure coupling is effectively introduced using the work done by the acoustic pressure at the fluid–structure interface. Since the proposed unified variational principle has naturally taken the interface couplings into account, semi-analytical solutions can then be achieved by expanding the displacement and acoustic pressure components analytically in the circumferential direction and numerically in the axial direction. The vibro-acoustic control metrics are also obtained for the isolating system. The efficiency and accuracy of the presented method are validated through comparisons with published results and finite element analysis. The effects of material properties and key parameters of the isolating system on vibro-acoustic properties and control outcome are then studied.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614040","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":"Size-dependent nonlinear vibration analysis of arbitrary-shaped FG microplates via the VDQ-transformation method","authors":"Y. Gholami, R. Ansari, H. Rouhi","doi":"10.1007/s00419-026-03118-0","DOIUrl":"10.1007/s00419-026-03118-0","url":null,"abstract":"<div><p>A comprehensive numerical framework is presented to study the geometrically nonlinear free vibration behavior of functionally graded (FG) microplates with arbitrary shapes, considering size-dependent effects within Mindlin’s strain-gradient elasticity theory. The proposed formulation employs the first-order shear deformation plate theory in conjunction with Hamilton’s principle to derive the general nonlinear governing equations. The strain-gradient tensors and their conjugate higher-order stresses are represented in an efficient vector–matrix form, enabling a computationally tractable implementation of the variational differential quadrature (VDQ) method for domains of irregular geometry. By assigning appropriate gradient-based material parameters, the developed model can seamlessly degenerate to simplified size-dependent continuum theories or recover the predictions of the classical theory. The free vibration response is determined by solving the resulting nonlinear eigenvalue problem using a reduced-order Galerkin approach followed by a time-periodic discretization and the pseudo arc-length method. Parametric studies are carried out to examine the influence of key factors, including geometrical shape, boundary conditions, FG index, and length scale parameters, on the fundamental frequencies and nonlinear frequency–amplitude relations. The results highlight significant sensitivity of the nonlinear vibration response to both the material gradation and the microscale length parameters, underscoring the necessity of using higher-order strain-gradient models for accurate prediction of FG microplate dynamics.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613888","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":"Critical hygrothermal cracking in plate structures under sudden environmental changes","authors":"Jine Li, Baolin Wang","doi":"10.1007/s00419-026-03158-6","DOIUrl":"10.1007/s00419-026-03158-6","url":null,"abstract":"<div><p>This paper presents a fracture mechanics analysis of a composite plate subjected to transient hygrothermal loading. The plate is subjected to sudden reductions in surface moisture content and temperature, resulting in transient hygrothermal stresses. The coupled moisture and heat diffusion through the plate thickness is solved analytically, and the resulting stress field in the uncracked plate is determined. Using superposition, the transient mode I stress intensity factor is evaluated via a weight function method. The peak stress intensity factor is systematically investigated as a function of crack length and plate thickness. Based on these results, fracture-mechanics-based design criteria are established, yielding simple empirical formulas for the critical moisture and temperature drops that can be sustained without crack propagation. These formulas provide a practical tool for the rapid assessment of the structural integrity of composites exposed to transient hygrothermal environments. The analytical results can also serve as benchmark solutions for validating other numerical methods, such as finite element analysis, or for comparison with experimental results.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613895","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":"Flow-induced buckling characteristics of a large-bore functionally graded pipe conveying hydrogen gas based on third-order beam theory","authors":"P. B. Alfred, A. Big-Alabo, C. V. Ossia","doi":"10.1007/s00419-026-03162-w","DOIUrl":"10.1007/s00419-026-03162-w","url":null,"abstract":"<div><p>Hydrogen gas flowing through pipes permeates through the pipe wall and induces compressive stress within the pipe material. This phenomenon, together with hydrogen embrittlement, reduces the pipe strength. This article examined the flow-induced buckling vibration response of a functionally graded pipe conveying hydrogen gas on a Pasternak foundation. The hydrogenation stress in the pipe material was derived by modifying Stashchuk and Dorosh's hydrogen stress model of a cylindrical metal block. The dynamic model of the hydrogen conveying pipe was developed using the Reddy–Bickford third-order beam theory, incorporating the hydrogenation stress. A comparison study was undertaken, and the results indicate that the present derivation is consistent with the model based on Timoshenko theory when a small-bore, thin-walled pipeline is considered. However, further comparison using a large-bore, thick-wall pipeline, the present model predicts higher values of the critical velocity and the initial compression. This study also examines the effect of hydrogenation, temperature, and Pasternak parameter on the buckling characteristics of the pipelines. The results show that hydrogenation and thermal load lower the pipeline's resistance to buckling. Also, hydrogen pressure and fluid velocity raised the likelihood of buckling in the pipe. Comparing the buckling of FGM and steel, the values of the critical buckling parameters were observed to be higher in FGM than in steel. The presence of ceramics reduces the chances of buckling in the FGM pipe.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466162","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":"DQ solution for doubly-curved composite shells with variable radii of curvature and rectangular delamination","authors":"András Szekrényes","doi":"10.1007/s00419-026-03161-x","DOIUrl":"10.1007/s00419-026-03161-x","url":null,"abstract":"<div><p>In this paper, the problem of delaminated doubly-curved composite shells is taken into consideration including variable radii of curvature. The mechanical model was built-up based on the method of four equivalent single layers using the first- and second-order shear deformation shell theories. The governing equations were derived through the principle of virtual work for the delaminated and intact parts. The differential quadrature method was applied to solve the equations for three different delamination scenarios. Besides, the geometry of the shells was varied, too. In this respect, the parabola and ellipse profiles were utilized. In the first stage the deflections and their convergence were taken into account and the comparison with finite element model results was brought to the stage. The second stage was dedicated to the calculation of the J-integral and its mode-II and mode-III components over the four delamination fronts of the embedded rectangular delamination. Based on the fracture mechanical analysis and the maxima of the J-integral distributions, the location of delamination initiation points and the order of initiation were determined. The maximum value of the total energy release rate of the shells with ellipse profile varies between 7.3 and 98.6 % of that of the parabola profile by the first-order shear deformation theory, while the former value is 12.1–100.4% by the second-order shear deformation theory. The results show that the shell geometry (profile curve) and the delamination position influences significantly the mode of fracture and the location the delamination is initiated at.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03161-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148458712","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":"The effect of different foam structures on the thermo-mechanical vibration of MEE smart nano plates","authors":"Muhammet Mevlüt Karaca, Ismail Esen","doi":"10.1007/s00419-026-03146-w","DOIUrl":"10.1007/s00419-026-03146-w","url":null,"abstract":"<div><p>This study investigates the thermomechanical vibration behavior of magneto-electroelastic (MEE) functionally graded (FGM) smart nanoplates composed of CoFe₂O₄ and PZT-5H materials with different foam distribution patterns. The equations of motion were derived using higher-order shear deformation theory and nonlocal strain gradient theory within the framework of Hamilton's principle. The FGM nanoplates have a composition that gradually changes throughout the thickness, containing PZT-5H on the bottom surface and CoFe₂O₄ on the top surface. In this study, four different foam models uniform, symmetric, top-density, and bottom-density—were investigated; their effects on frequency and vibrational buckling behavior under temperature were studied. The results show that the highest thermal vibrational buckling resistance is obtained in the bottom foam structure, while the lowest resistance is observed in the uniform foam structure. Increasing the porosity ratio reduces both the fundamental frequency and the buckling temperature. The applied external electrical potential reduces the system rigidity and decreases the frequency due to the electro-elastic effect, while the magnetic field, conversely, increases rigidity and vibration resistance. Furthermore, nonlocal and size-effect parameters play a significant role in the dynamic response. Overall, it has been shown that the vibration performance of FGM-MEE smart structures can be improved by optimizing the foam structure, material transition, and multiple physical loadings. Such structures offer great potential for advanced technology applications such as spacecraft structural panels, high-temperature piezoelectric energy harvesters, magnetic field-controlled micro-actuators, smart sensor systems, and MEMS-based vibration dampers.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148458713","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}
Hao C. Nguyen, Trong Dang-Huu, Trung Nguyen-Thoi, Son H. Nguyen
{"title":"An αARS-poly formulation on trimmed quadrilateral-dominant meshes for Reissner–Mindlin plate analysis with complex geometries","authors":"Hao C. Nguyen, Trong Dang-Huu, Trung Nguyen-Thoi, Son H. Nguyen","doi":"10.1007/s00419-026-03155-9","DOIUrl":"10.1007/s00419-026-03155-9","url":null,"abstract":"<div><p>This work introduces an <i>α</i>-assumed rotations and shear strains polygonal formulation (<i>α</i>ARS-Poly) embedded within a trimmed quadrilateral-dominant mesh for Reissner–Mindlin plate analysis. The method combines the numerical robustness of <i>α</i>-scaled assumed rotation fields with the geometric adaptability of level-set-based trimmed meshes. Regular quadrilateral elements are retained in the interior domain, while boundary-intersected cells are automatically converted into convex polygonal elements without re-meshing. The proposed approach applies a consistent <i>α</i>-scaled tangential rotation reconstruction to both regular and trimmed elements, preserving a unified stiffness formulation for arbitrary polygonal topologies. The formulation eliminates shear locking, satisfies isotropy and zero-energy mode requirements, and maintains stability under mesh distortion. Numerical investigations confirm optimal convergence in displacement and energy norms for thin and moderately thick plates, demonstrating improved stiffness prediction and robustness compared with fully polygonal discretizations. The resulting framework provides a simple, accurate, and automation-friendly solution for plate problems involving complex geometries and internal cutouts.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465664","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}
Murat Akpınar, Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı
{"title":"Size-dependent free vibration analysis of Rayleigh nanobeams based on the stress-driven nonlocal model using Fourier series and Stokes’ transformation","authors":"Murat Akpınar, Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı","doi":"10.1007/s00419-026-03152-y","DOIUrl":"10.1007/s00419-026-03152-y","url":null,"abstract":"<div><p>In this study, the size-dependent free vibration behavior of Rayleigh nanobeams has been investigated using Fourier series and the Stokes transform within the framework of a stress-driven nonlocal model (SDNM). In the developed solution approach, the displacement field is expressed as a Fourier sine series, and higher-order derivatives are obtained using the Stokes transform, thereby formulating a single eigenvalue problem that simultaneously incorporates the nonlocal parameter, rotational inertia, and boundary conditions (BCs). The results obtained have revealed that an increase in the stress-based nonlocal parameter causes a significant increase in frequencies, thereby creating a stiffening effect on the system behavior. Furthermore, the increase in the number of modes has made the effect of rotational inertia more pronounced due to the formation of multiple bending regions along the beam, highlighting the importance of Rayleigh beam theory (RBT), particularly in modeling higher modes. Additionally, it has been determined that the stiffness of the BCs has a significant effect on the frequencies, with stiffer support conditions producing higher frequency values. The original contribution of this study is the integration of the stress-based nonlocal RBT with Fourier series and the Stokes transform, and the presentation of a high-accuracy solution framework under various BCs. It is anticipated that the results obtained will contribute to a better understanding of the role of scale effects and BCs on the dynamic behavior of nanobeams.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465656","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}
Muhammad Mubashir Bhatti, Osman Anwar Bég, Tasveer Anwar Bég, Ali Kadir
{"title":"Analysis of natural convection in dissipative rheological granular flow along an inclined plane with a nonlinear thermal conductivity model","authors":"Muhammad Mubashir Bhatti, Osman Anwar Bég, Tasveer Anwar Bég, Ali Kadir","doi":"10.1007/s00419-026-03128-y","DOIUrl":"10.1007/s00419-026-03128-y","url":null,"abstract":"<div><p>This study investigates natural convection in rheological granular flow over an inclined heated surface, with applications in heated powder processing, bulk solid drying, food processing, and thermal polymer rheological systems. The rheological effects are modeled through normal stress differences, while buoyancy forces are incorporated using the Boussinesq approximation. Viscous dissipation is also considered to account for internal frictional heating. The governing equations are derived using a continuum framework with conductive heat transfer, and nonlinear thermal conductivity is modeled via Fourier’s law. The resulting coupled nonlinear differential equations are solved numerically using MATLAB’s bvp4c, based on Newton collocation and adaptive discretization. The numerical results are validated against available studies, and the effects of key material parameters on granular volume fraction, velocity, and temperature distributions are examined graphically. The results show that by increasing the pressure-to-gravity force ratio <span>(left({xi}_{1}right))</span>, thermal buoyancy parameter <span>(left({xi}_{5}right))</span>, and inclination angle <span>(left(gamma right))</span> enhances the granular volume fraction near the inclined heated surface, while reducing it near the free surface. In contrast, higher values of the void distribution force parameter <span>(left( {xi _{2} } right))</span> reduce the volume fraction near the heated surface but enhance it near the free surface. The heat flux ratio parameter <span>(left({xi}_{6}right))</span> suppresses temperature throughout the flow domain, whereas viscous dissipation <span>(left({xi}_{4}right))</span> and inclination angle <span>(left(gamma right))</span> enhance the temperature distribution.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03128-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465657","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":"Optimized input shaping for multi-mode hanging chain under wind disturbance","authors":"Faisal Alobaid, Khalid Alghanim","doi":"10.1007/s00419-026-03136-y","DOIUrl":"10.1007/s00419-026-03136-y","url":null,"abstract":"<div><p>This work presents a study on the dynamics and control of an unloaded hanging chain suspended from an overhead crane, having wind disturbance throughout the entire maneuver. The study focuses on using input shaping via a step function, applied continuously from the start to the end of the maneuver, to eliminate the effects of residual vibration. This research specifically examines the behavior of the chain’s primary modes under the influence of wind. The input function for a flexible chain is determined using a modal model matrix and Laplace transformations while considering wind disturbance effects. This approach shows highly precise control, providing valuable insights into managing dynamic responses in flexible structures suspended from an overhead crane and exposed to external disturbances.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465662","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}