{"title":"Instability growth rates of crossing sea states for surface gravity waves in the case of wind blowing over water","authors":"Shibam Manna, A. K. Dhar","doi":"10.1007/s00419-025-02844-1","DOIUrl":"10.1007/s00419-025-02844-1","url":null,"abstract":"<div><p>In this paper, the influence of uniform wind flow for nonlinearly interacting surface waves in deep water using two coupled (2+1)-dimensional fourth-order nonlinear Schrödinger equations is studied. Starting from fourth-order coupled equations, the modulational instability of nonlinearly interacting waves in a situation of crossing sea states on an infinite depth of water is discussed. The inclusion of fourth-order terms to the nonlinear Schrödinger equation contributes to an improvement on the results associated with the stability of finite amplitude waves. The key point of this paper is that the present fourth-order results give significant improvements in the stability properties from the third-order results and consistent with the previous results. The stability conditions from the quartic nonlinear dispersion relation are obtained and employing those conditions the stable-unstable regions have been drawn. The three-dimensional contour maps of instability growth rate are also plotted. The growth rate of instability is shown to be appreciably much higher when the wind velocity approaches toward the critical value.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125807","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":"Development of a 1D complex cross-section beam model and the local differential quadrature method for static and dynamic analysis","authors":"Guanghui He, Xiaowei Li, Ruinan Xu","doi":"10.1007/s00419-025-02835-2","DOIUrl":"10.1007/s00419-025-02835-2","url":null,"abstract":"<div><p>A strong-form general one-dimensional (1D) higher-order prismatic beam model is proposed for the mechanical analysis of straight beams with arbitrary cross-sections. This model accommodates complex cross-sections by interpolating displacement fields at cross-sectional grid points. It introduces two cross-sectional property matrices to accurately describe both the complex geometry and material properties. To enhance numerical efficiency, a local differential quadrature method (LDQM) is refined from the global differential quadrature method. The LDQM incorporates a local bandwidth parameter, optimizing stability and memory usage for numerical differential approximations. However, the optimal selection criteria for this bandwidth parameter remain to be fully established, as excessive bandwidth values may insignificantly improve accuracy while substantially increasing computational costs. Using the LDQM, the proposed 1D model analyzes displacements and stresses in both static and dynamic (transient and steady-state) problems for beams with complex cross-sections. The accuracy of the 1D model and LDQM is verified through extensive computational comparisons with three-dimensional (3D) solid and plate models. Additionally, a comprehensive convergence analysis is conducted for natural frequencies and static displacements. The convergence curves highlight the advantages of the proposed 1D model over conventional 3D solid and plate finite element models. It should be noted that the cross-sectional mesh discretization strategy requires careful consideration—our numerical experiments demonstrate that overly refined meshes, particularly higher-order elements in slender T-beams, often yield diminishing returns in accuracy improvement relative to their added computational burden. Finally, a static stress analysis assesses the performance of the LDQM in terms of stress smoothness. The numerical results reveal that the LDQM avoids the common issues typically encountered with traditional finite element methods.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125803","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":"Buckling analysis of GPL RC micro smart plates resting on elastic foundation subjected to thermal loads","authors":"Detong Chen, Qiyu Wang, Zilin Zhang","doi":"10.1007/s00419-025-02813-8","DOIUrl":"10.1007/s00419-025-02813-8","url":null,"abstract":"<div><p>This study investigates the thermal buckling behavior of functionally graded microplates reinforced with graphene, incorporating two piezoelectric layers, resting on an elastic foundation, and subjected to an externally applied voltage. An artificial neural network (ANN) is utilized to analyze this behavior. The governing equations are formulated based on the modified couple stress theory to account for microscale effects. The material properties of the graphene-reinforced composite layer are determined using the Halpin–Tsai micromechanical model. The Ritz method is employed to solve the governing equations and generate the dataset for training the ANN. Specifically, the Levenberg–Marquardt algorithm is implemented within the ANN framework to significantly reduce computational costs in the buckling analysis. The input parameters include nanofiller dimensions, weight fraction, and piezoelectric layer thickness, while the output is the thermal buckling load. The results demonstrate that ANN-based predictions of the critical buckling temperature for functionally graded graphene-reinforced microplates with piezoelectric layers not only achieve high accuracy but also substantially decrease computational time compared to conventional numerical approaches. The obtained results denote that aspect ratio has the most significant impact on critical buckling temperature, with longer plates showing much greater resistance to buckling. Also, elastic foundation stiffness also plays a moderate but important role, particularly at higher stiffness values. In addition, the X pattern is the most effective in enhancing buckling resistance, but the differences between patterns are relatively small.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125855","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":"Free vibration analysis of FG-GOPRPC double cylindrical shells coupled structure surrounded by the non-uniform elastic foundation under arbitrary boundary conditions","authors":"Yufeng Chang, Yu Wang, Peng Wang, Dongtao Xu, Qiwen Sun, Yue Gu","doi":"10.1007/s00419-025-02836-1","DOIUrl":"10.1007/s00419-025-02836-1","url":null,"abstract":"<div><p>In engineering, coupled structures often encounter complex supporting conditions, in which the foundation shows heterogeneous elastic characteristics. Considering the spatial variation of soil, this will change the conventional vibration behavior of the shell. Therefore, a unified modeling method is proposed for the first time to study the vibration characteristics of the bolted functionally graded graphene oxide platelet-reinforced porous composite (FG-GOPRPC) double cylindrical shell coupled structure surrounded by a non-uniform Winkler elastic foundation under arbitrary boundary conditions. To support this, the actual soil environment is simulated by constructing the non-uniform Winkler elastic foundation. In addition, the discontinuous arc connection mode is created by improving the whole circumference continuous artificial spring distribution method to simulate the connection situation in actual bolts, and the whole circumference constrained spring distribution method is used to simulate the arbitrary boundary conditions. Addedly, the first-order shear deformation theory (FSDT) and Gegenbauer-Ritz method are combined to discover the dynamic equations of the structure. Ultimately, the natural frequency of the coupled structure is obtained, and the rationality of the analysis method in this paper is verified by the literature and finite element method (FEM). The effects of spring stiffness values, boundary conditions, size parameters, mass fraction, porosity types, GOP distribution patterns, and foundation parameters on the vibration characteristics of the structure are analyzed. For instance, the non-uniform Winkler elastic foundation can amplify the contribution of the translational spring and rotating spring in the axial direction to the natural frequency.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100320","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":"Rolling friction of a viscoelastic sphere on a rigid plane in finite deformation","authors":"Iván E. Rango, Fernando S. Buezas, Elbio D. Palma","doi":"10.1007/s00419-025-02825-4","DOIUrl":"10.1007/s00419-025-02825-4","url":null,"abstract":"<div><p>In this work, we study the mechanism of rolling friction that controls the movement of a viscoelastic sphere under large nonlinear deformations over a rigid plane. The study is based on a three-dimensional continuous model formulated in referential coordinates, assuming a Saint Venant–Kirchhoff material with Newtonian internal friction and complemented by appropriate boundary conditions at the contact interface. The model is discretized spatially using finite elements, and its subsequent evolution from initial conditions is followed over time. Several additional numerical experiments, designed with the aid of dimensional analysis, investigate the dependence of the rolling friction coefficient (RFC) on model parameters such as rolling velocity, contact load, and material properties. The results show that the RFC is approximately proportional to the contact load and sphere size and increases linearly with rolling velocity. In contrast to previous studies, the model shows that the RFC increases with the Poisson’s ratio.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144091180","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 temperature and moisture on static and dynamic behavior of delaminated composite structure and control using integrated AFC","authors":"Jayant Prakash Varun, Prashanta Kr. Mahato","doi":"10.1007/s00419-025-02821-8","DOIUrl":"10.1007/s00419-025-02821-8","url":null,"abstract":"<div><p>In the present study, static, dynamic, and control analysis of delaminated composite plate structure subjected to hygral and thermal loading is done using the active fiber composite (AFC) patches. The FE modeling of smart composite plates with delamination is done considering the displacement fields as per the shear deformation theory and delamination are modeled using a region-wise approach. For static bending and control analysis, the hygrothermal load and AFC (actuator voltage) load are considered as direct external loads using the given temperature and moisture expansion coefficients. But in the case of dynamic analysis, the hygrothermal loading is employed as preload (i.e., the alteration in the stiffness matrix of laminate because of temperature and moisture level is annexed by the geometric stiffness matrix). The active dynamic control analyses are performed considering the proportional derivative control algorithms. It has been observed that the deformation due to various loading conditions is controlled by voltage-induced actuators. The deformation behavior of delamination sub-laminates is shown under different loading and hygrothermal conditions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090963","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}
Shuo Feng, Lei Xia, Yuhao Yang, Zhen Wang, Xuan Zhang, Qidong Han
{"title":"Multi-objective collaborative rapid dual-scale topology optimization based on thermomechanical coupling analysis","authors":"Shuo Feng, Lei Xia, Yuhao Yang, Zhen Wang, Xuan Zhang, Qidong Han","doi":"10.1007/s00419-025-02833-4","DOIUrl":"10.1007/s00419-025-02833-4","url":null,"abstract":"<div><p>Structural lightweight is an essential strategy for improving material efficiency, especially in thermomechanical coupling scenarios where structural failure risks are elevated. In such conditions, materials must exhibit high thermal conductivity and superior heat dissipation to enable effective energy transfer while maintaining high stiffness and minimal weight. To address these demands, our research employs a genetic algorithm for pre-optimization, seamlessly integrated with traditional topology optimization techniques, to guide the iterative refinement of macrostructure design. Advanced 3D printing technologies have highlighted the potential of porous materials, known for their ability to significantly reduce weight. Leveraging these advancements, this study focuses on applying parallel multiscale topology optimization. The optimized structure achieves an average temperature reduction of 38.5 K compared to traditional designs. Compared to traditional designs, the proposed method integrates a binary-encoded genetic algorithm (GA) for pre-optimization, which generates high-quality initial structures with minimal computational cost. Unlike the BESO method, the GA’s efficiency allows pre-optimization to be completed rapidly and helps find more promising initial structures, ultimately improving the quality of the final optimization result, consuming negligible computational resources. The goal is to design lightweight yet robust structures with high thermal conductivity, effective heat dissipation, and rigidity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02833-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949700","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":"Searching stable orbits in BiER4BP with variable eccentricity for exploring orbiter dynamics near the moon of planet","authors":"Sergey Ershkov, M. Javed Idrisi","doi":"10.1007/s00419-025-02818-3","DOIUrl":"10.1007/s00419-025-02818-3","url":null,"abstract":"<div><p>This study presents a novel semi-analytical solution for the motion of a small orbiter influenced by the combined Newtonian attraction of three primary bodies, <i>M</i><sub>1</sub>, <i>M</i><sub>2</sub>, and <i>M</i><sub>3</sub>, which move in hierarchical elliptical orbits within the same plane. In this configuration, <i>M</i><sub>3</sub> ≪ <i>M</i><sub>2</sub> ≪ <i>M</i><sub>1</sub>, where <i>M</i><sub>2</sub> orbits <i>M</i><sub>1</sub> with slowly variable orbital eccentricity, and <i>M</i><sub>3</sub> revolves around <i>M</i><sub>2</sub>. The resulting solution describes a closed, self-returning spiral trajectory aligned with the ray extending from the Sun to the Earth-Moon system. The orbital radius, which exceeds the semi-major axis <i>a</i><sub>2</sub> of the {<i>M</i><sub>2</sub>, <i>M</i><sub>3</sub>} binary system, experiences quasi-periodic oscillations along the <i>Oy</i>, <i>Oz</i> (close to zero locations), and <i>Ox</i> axes near the system's barycenter. This motion forms a 3D spiraling trajectory around and above the {<i>M</i><sub>2</sub>, <i>M</i><sub>3</sub>} binary. The study demonstrates that this type of stable orbital configuration, characterized by closed spiral motion within a finite spatial volume ({<i>x, y, z</i>}, <i>x</i> ~ 1, <i>y</i> ~ 0, <i>z</i> → 0), is dynamically feasible in the context of the Bi-Elliptic Restricted Four-Body Problem (BiER4BP). The orbiter remains near the ray connecting the Sun to the Earth-Moon system, suggesting its potential relevance for the stable artificial satellite drift dynamics near Earth’s Moon. The analysis highlights that such an artificial satellite, positioned distant approximately 1 astronomical unit from the Sun, can exhibit stable oscillatory, spiral motion close to this Sun-Earth line. This result offers new insights into stable dynamical behaviors in celestial mechanics, particularly in multi-body gravitational systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949701","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":"Vibrations and damping of the eigenmodes of viscoelastic nanospheres with thermal conductivity","authors":"Markus Wenin, Andreas Windisch","doi":"10.1007/s00419-025-02830-7","DOIUrl":"10.1007/s00419-025-02830-7","url":null,"abstract":"<div><p>In this paper, we derive a series of exact analytical closed expressions to calculate the complex eigenfrequencies and the displacement for the corresponding eigenmodes of a viscoelastic (nano)sphere in the presence of linear damping. Where possible, we provide closed expressions for damping rates, including the contributions from viscosity, as well as thermal conductivity and solutions of the heat equation. We assume an isolated system, such that no energy/heat transfer to the environment is allowed. We find monotonic behavior of the damping as a function of frequency for breathing and torsional modes, however, for spheroidal modes we find non-monotonicity. Furthermore, we analytically analyze the thermodynamic limit for all mode types. We also investigate the frequency shift and find expected behavior, i.e., a reduced eigenfrequency with damping than without damping for breathing and torsional modes. For spheroidal modes, however, we find non-monotonic shifts, corresponding to the damping. For some eigenfrequencies, we find anomalous frequency shifts.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949685","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}
Khaled Lotfy, Ibrahim S. Elshazly, Borhen Halouani, Praveen Ailawalia, Alaa A. El-Bary
{"title":"Correction: A comprehensive model for thermo-hydromechanical behavior in nonlocal poroelastic semiconductors under laser excitation","authors":"Khaled Lotfy, Ibrahim S. Elshazly, Borhen Halouani, Praveen Ailawalia, Alaa A. El-Bary","doi":"10.1007/s00419-025-02814-7","DOIUrl":"10.1007/s00419-025-02814-7","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944334","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}