Acta Mechanica最新文献_第4页

Free vibration of rotating pre-twisted thin plates with elastic boundary considering nonlinear centrifugal stiffening effect 考虑非线性离心加劲效应的弹性边界预扭薄板旋转自由振动

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-21 DOI: 10.1007/s00707-026-04787-2

Tianxiao Cao, Zhu Su, Lifeng Wang

{"title":"Free vibration of rotating pre-twisted thin plates with elastic boundary considering nonlinear centrifugal stiffening effect","authors":"Tianxiao Cao, Zhu Su, Lifeng Wang","doi":"10.1007/s00707-026-04787-2","DOIUrl":"10.1007/s00707-026-04787-2","url":null,"abstract":"<div><p>The blade root is typically connected to the hub via tongue-and-groove joint for aeroengine blade structures. This connection form exhibits limited rotational and translational constraint characteristics at the blade root, not completely rigid, and can be regarded as elastic support. At high rotation speed, the centrifugal load induces substantial deformation, significantly altering the structural stiffness distribution, thereby affecting the vibration characteristics. Consequently, a dynamic analytical framework for rotating pre-twisted curved plates with elastic boundary is established. The nonlinear governing equation for rotating pre-twisted plate is derived based on Novozhilov nonlinear shell theory and Hamilton's principle. The stiffening effect of the centrifugal load is characterized through nonlinear quasi-static equilibrium analysis and linearization of the nonlinear terms surrounding equilibrium solutions. According to penalty method, the springs are introduced to simulate boundary condition. This means that the admissible functions of displacement field need not satisfy geometric boundary conditions, but only ensure the linear independence and completeness of functions set. By applying Chebyshev orthogonal polynomials for mode discretization, the natural frequencies and mode shape are obtained through eigenvalue analysis. The effects of boundary conditions, geometric parameters, and rotation speed on free vibration characteristics are investigated in detail. The results indicate that the geometric pre-twist induces bending-in-plane coupled mode within the system, and that each mode frequency under elastic boundary condition is positively correlated with the corresponding spring stiffness, with coupled modes governed by in-plane springs. Complex mode crossover and “crossover avoidance” phenomena occur with parameter variations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5399 - 5423"},"PeriodicalIF":4.0,"publicationDate":"2026-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189992","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}

引用次数: 0

Effect of cavity-induced transition on the dynamic characteristics of hypersonic vehicles 空腔诱导转捩对高超声速飞行器动态特性的影响

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-20 DOI: 10.1007/s00707-026-04783-6

Yue Yang, Kun Guo, Xinguo Sha, Rui Zhao, Qilin Mi

{"title":"Effect of cavity-induced transition on the dynamic characteristics of hypersonic vehicles","authors":"Yue Yang, Kun Guo, Xinguo Sha, Rui Zhao, Qilin Mi","doi":"10.1007/s00707-026-04783-6","DOIUrl":"10.1007/s00707-026-04783-6","url":null,"abstract":"<div><p>Because of material ablation, manufacturing tolerances, or unforeseen issues such as insulation tile detachment, the surfaces of hypersonic vehicles are prone to developing concave cavity structures. These imperfections can induce boundary layer transition, significantly affecting the dynamic characteristics of the vehicles. In this study, coupled calculations of transition and forced oscillation are performed to investigate the impact of different cavity positions on the dynamic characteristics of a hypersonic blunt cone. The underlying mechanisms are clarified through a decomposition of pitching moments. Results indicate that, compared with a smooth model, cavity-induced transition reduces the dynamic stability of hypersonic vehicles. When the cavity normal is aligned with the direction of forced oscillation, the pitching moment coefficient amplitude in the pitching plane reaches its maximum, resulting in a pronounced decrease in dynamic stability. The decomposition of pitching moments further reveals that the increase in wall pressure caused by the cavity is the fundamental reason for the change in the vehicle’s dynamic characteristics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5381 - 5397"},"PeriodicalIF":4.0,"publicationDate":"2026-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149190003","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}

引用次数: 0

Thermoelastic frictional contact behavior of functionally graded piezoelectric materials with arbitrarily varying properties 任意变性能功能梯度压电材料的热弹性摩擦接触行为

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-18 DOI: 10.1007/s00707-026-04773-8

Xiao Kaiwen, Liu Ziyang, Zhou Xinyu, Liu Jing, Mao Jia-Jia, Gao Lingfeng

{"title":"Thermoelastic frictional contact behavior of functionally graded piezoelectric materials with arbitrarily varying properties","authors":"Xiao Kaiwen, Liu Ziyang, Zhou Xinyu, Liu Jing, Mao Jia-Jia, Gao Lingfeng","doi":"10.1007/s00707-026-04773-8","DOIUrl":"10.1007/s00707-026-04773-8","url":null,"abstract":"<div><p>This paper investigates the thermoelastic frictional contact behavior of functionally graded piezoelectric material (FGPM) coating structures with arbitrarily varying material properties, subjected to a rigid conductive cylindrical punch. Considering the effect of the thermal convection term during heat conduction, a homogeneous multi-layered model is employed to approximate the arbitrarily varying properties of FGPM coatings, which overcomes the mathematical limitations of traditional continuous models restricted to idealized exponential gradients. Based on thermoelastic theory, Fourier integral transform technique and transfer matrix method, the thermos-electric-elastic coupled contact problem is converted into a system of coupled Cauchy singular integral equations of the first and second kinds. The least squares method and an iterative technique are employed for numerical solutions. The effects of the friction coefficient and gradient index on the thermal frictional contact characteristics are discussed in detail. Notably, the inclusion of the thermal convection term rigorously captures the directional heat advection, resulting in an asymmetric temperature field shifted towards the trailing edge. Additionally, the regulatory role of gradient types of coating material properties on the surface tensile stress and temperature is analyzed. The results indicate a clear performance compromise: power-law gradient distribution is optimal for reducing surface tensile stresses, while sinusoidal gradient offers superior thermal insulation effect. These findings indicate that appropriate adjustment of the coating gradient index, friction coefficient, and gradient types can effectively alleviate the thermo-electro-elastic contact damage on the material surface, which provides a theoretical reference for the damage-resistant design of piezoelectric materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5355 - 5380"},"PeriodicalIF":4.0,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189679","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}

引用次数: 0

Magnetomechanical vibration analysis of sandwich plates with fluid-saturated FG porous cores and arbitrarily oriented stiffenerss 具有任意定向刚度的饱和流体FG多孔芯夹层板的磁力振动分析

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-17 DOI: 10.1007/s00707-026-04762-x

Van-Tham Vu

{"title":"Magnetomechanical vibration analysis of sandwich plates with fluid-saturated FG porous cores and arbitrarily oriented stiffenerss","authors":"Van-Tham Vu","doi":"10.1007/s00707-026-04762-x","DOIUrl":"10.1007/s00707-026-04762-x","url":null,"abstract":"<div><p>This work presents a computational model for magnetomechanical vibration analysis of sandwich plates incorporating a fluid-saturated functionally graded porous core and arbitrarily oriented functionally graded material (FGM) stiffeners. The formulation combines Biot’s theory for fluid-saturated porous materials with a four variable higher-order shear deformation model (HSDT4), the pb2-Ritz method, and Lekhnitskii’s smeared stiffener technique. A unified description is established for plates subjected to magnetic fields and reinforced by such stiffeners, a configuration that has received limited attention in previous studies. The considered smart sandwich plate (SWFGPS) consists of three layers: a porous functionally graded magnetoelastic (PoFGMag) top face sheet, a saturated functionally graded porous (SFGP) core, and a stiffened FGM bottom face sheet. Material variations through the thickness follow a modified power law relation, with distinct porosity patterns assigned to the PoFGMag layer and the core. The magnetic field in the PoFGMag layer is represented by a combined cosine and linear distribution. Model accuracy and convergence are assessed through comparisons with available reference solutions. Parametric studies quantify the effects of material parameters, geometric ratios, the Skempton coefficient, the applied magnetic field, and stiffener configurations on vibration frequencies. The results clarify the coupled influence of magnetic effects, the fluid-saturated porous core, and the arbitrarily oriented stiffener system on sandwich plate responses and provide reference data for the analysis and design of smart sandwich structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5297 - 5331"},"PeriodicalIF":4.0,"publicationDate":"2026-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189601","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}

引用次数: 0

Thermal buckling of variable thickness functionally graded circular plates on a two-parameter elastic foundation under different temperature distributions 两参数弹性地基上变厚度功能梯度圆板在不同温度分布下的热屈曲

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-17 DOI: 10.1007/s00707-026-04781-8

Aastha Tanwar, Rashmi Rani

{"title":"Thermal buckling of variable thickness functionally graded circular plates on a two-parameter elastic foundation under different temperature distributions","authors":"Aastha Tanwar, Rashmi Rani","doi":"10.1007/s00707-026-04781-8","DOIUrl":"10.1007/s00707-026-04781-8","url":null,"abstract":"<div><p>Functionally graded material (FGM) circular plates of variable thickness supported on an elastic foundation represent a structurally efficient solution widely adopted in demanding engineering systems including space vehicles, aircraft, turbine blades, nuclear power plants, combustion chambers, and military armor, wherein the graded material composition coupled with thickness variation ensures optimal stress distribution and weight reduction, while the elastic foundation imparts enhanced restoring force and thermal stability to the structure. In the present study, the axisymmetric thermal buckling analysis of FGM circular plates with exponentially varying thickness in the radial direction, resting on a Winkler-Pasternak elastic foundation and subjected to uniform, linear, and nonlinear temperature profiles through the thickness is presented. The material properties are graded in the thickness direction following a power-law distribution. The governing equations are formulated based on the first-order shear deformation theory (FSDT) combined with von Kármán geometric nonlinearity. Further, these equations are discretized utilizing the harmonic differential quadrature (HDQ) method, considering clamped and simply supported boundary conditions. The obtained results are validated through comparison with previously published studies based on different methods and theories, demonstrating excellent agreement and confirming the accuracy of the present formulation. The influence of foundation stiffness, thickness variation and material gradation on thermal buckling behavior under various boundary conditions is analyzed. Three-dimensional buckling mode shapes for the designated plates are plotted. The findings serve as valuable benchmark data for the thermal buckling analysis of FGM circular plates of variable thickness resting on elastic foundations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5333 - 5354"},"PeriodicalIF":4.0,"publicationDate":"2026-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189600","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}

引用次数: 0

A new shear strain function-based plate model in the framework of refined couple-stress theory for size-dependent hygro-thermomechanical analysis of microlaminated composite plates 在精细耦合应力理论框架下，基于剪切应变函数的微层合复合材料板尺寸相关水热力学分析新模型

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-16 DOI: 10.1007/s00707-026-04775-6

Manu Dev Sharma, Yadwinder Singh Joshan, Neeraj Grover, Lakshay, Rosalin Sahoo, Kishore Khanna

{"title":"A new shear strain function-based plate model in the framework of refined couple-stress theory for size-dependent hygro-thermomechanical analysis of microlaminated composite plates","authors":"Manu Dev Sharma, Yadwinder Singh Joshan, Neeraj Grover,  Lakshay, Rosalin Sahoo, Kishore Khanna","doi":"10.1007/s00707-026-04775-6","DOIUrl":"10.1007/s00707-026-04775-6","url":null,"abstract":"<div><p>This paper aims to develop an analytical framework for the hygro-thermomechanical analysis of laminated microplates by integrating the refined couple-stress theory with a new shear strain function-based deformation model. The formulation captures anisotropic material behaviour and incorporates size dependency through an intrinsic length-scale parameter aligned with the laminate’s fibre direction. The governing equations are derived with the principle of virtual work and solved using Navier’s closed-form solution for simply supported plates. A detailed parametric study highlights the influence of microstructural size effects, shear deformation, and hygro-thermal fields on the bending response of laminated microplates. The inclusion of couple-stress effects leads to significantly reduced deflections relative to classical models, underscoring the need for scale-dependent formulations at the microscale. The proposed theory also provides higher accuracy than conventional higher-order shear deformation theories (HSDTs) without relying on shear correction factors. Overall, the formulation demonstrates better accuracy than other higher-order theories, making it a reliable analytical tool for evaluating numerical methods and designing advanced microscale-laminated composite structures operating in hygro-thermal environments.\u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5271 - 5296"},"PeriodicalIF":4.0,"publicationDate":"2026-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189727","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}

引用次数: 0

On axial dynamic analysis of viscoelastic nanorods reinforced with particles 颗粒增强粘弹性纳米棒轴向动力分析

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-15 DOI: 10.1007/s00707-026-04765-8

Alim Berk Çağlayan, Büşra Uzun

{"title":"On axial dynamic analysis of viscoelastic nanorods reinforced with particles","authors":"Alim Berk Çağlayan, Büşra Uzun","doi":"10.1007/s00707-026-04765-8","DOIUrl":"10.1007/s00707-026-04765-8","url":null,"abstract":"<div><p>This study proposes an analytical model for the size-dependent axial vibration of particle-reinforced viscoelastic nanorods. Size effects and viscoelastic damping are incorporated utilizing nonlocal elasticity theory and the Kelvin–Voigt model, respectively, while the effective mechanical properties are determined via the Mori–Tanaka homogenization scheme. A key novelty of this work is the analytical formulation and solution of characteristic equations for a broad range of boundary conditions, evolving in a generalized configuration where a lumped mass and an elastic spring are simultaneously present at the rod’s extremity. The study systematically investigates the influence of particle volume fraction, nonlocal size effects, material damping, and boundary mass-spring parameters. It is found that the particle reinforcement ratio, nonlocal scale dependency, and the inertial dominance of the attached mass play pivotal roles in modulating the axial vibration and attenuation performance of the nanorods. Ultimately, this comprehensive theoretical framework provides critical insights for the design and optimization of advanced nano-electro-mechanical systems (NEMS) and nanoresonators.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5243 - 5270"},"PeriodicalIF":4.0,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04765-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189150","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}

引用次数: 0

Experimental investigation of viscoplastic fluid flow in stenosed circular pipes using Laser Doppler Velocimetry 用激光多普勒测速法研究狭窄圆管内粘塑性流体流动

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-14 DOI: 10.1007/s00707-026-04777-4

Sara Haouache, Kamel Berkache, Mohamed Mahfoud, Jean François Ganghoffer

{"title":"Experimental investigation of viscoplastic fluid flow in stenosed circular pipes using Laser Doppler Velocimetry","authors":"Sara Haouache, Kamel Berkache, Mohamed Mahfoud, Jean François Ganghoffer","doi":"10.1007/s00707-026-04777-4","DOIUrl":"10.1007/s00707-026-04777-4","url":null,"abstract":"<div><p>This study reports an experimental investigation of steady viscoplastic flow through stenosed circular pipes using Laser Doppler Velocimetry. A dedicated hydrodynamic bench was developed to compare Newtonian water with a viscoplastic Carbopol gel flowing through pipes exhibiting three levels of axisymmetric constriction (57%, 86%, and 94% reduction in area). Rheological characterization confirmed the suitability of a modified Casson-type model for describing the Carbopol solution, which exhibits a measurable yield stress and shear thinning behavior. The local velocity measurements revealed that recirculation regions downstream of the stenosis become significantly longer and more persistent in viscoplastic flow than in water, especially for moderate to severe constrictions. The global hydraulic analysis further demonstrated that, unlike the Newtonian case, the viscoplastic fluid may experience a markedly reduced flow resistance in the post-stenotic region, sometimes even below the reference value of an unobstructed pipe, highlighting a counter-intuitive stabilizing mechanism. Turbulence measurements confirmed this trend, with substantially attenuated fluctuations in the non-Newtonian flow. The results provide experimentally validated trends and correlations that improve the prediction of pressure losses in complex geometries and contribute to a deeper understanding of flow stabilization mechanisms relevant to both biomedical and industrial transport systems.\u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5211 - 5241"},"PeriodicalIF":4.0,"publicationDate":"2026-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189463","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}

引用次数: 0

Wave propagation in a nonlocal supercell with lumped and distributed masses 具有集中和分布质量的非局部超级单体中的波传播

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-13 DOI: 10.1007/s00707-026-04770-x

Esmaeal Ghavanloo, Sami El-Borgi

{"title":"Wave propagation in a nonlocal supercell with lumped and distributed masses","authors":"Esmaeal Ghavanloo, Sami El-Borgi","doi":"10.1007/s00707-026-04770-x","DOIUrl":"10.1007/s00707-026-04770-x","url":null,"abstract":"<div><p>This paper develops and analyzes a nonlocal supercell model for wave propagation in one-dimensional periodic chains that incorporates lumped and distributed masses together with beyond-nearest-neighbor couplings. The formulation advances earlier treatments of nonlocal metasurfaces by explicitly integrating distributed inertia, diatomic asymmetry, and long-range elastic links within a single supercell. The Bloch–Floquet theory is applied to the infinite chain to derive dispersion relations, while a complementary finite-chain formulation establishes the corresponding transmittance spectra. Parametric sweeps reveal how variations in mass ratios, stiffness asymmetry, and nonlocal coupling parameters govern the location, width, and attenuation characteristics of the spectral response. The results show consistent alignment between infinite- and finite-chain analyses, confirming that the proposed framework captures essential dynamic behavior across different structural scales. This unified treatment provides clear design guidance for engineering periodic media with tailored wave transmission properties and establishes a tractable foundation for the development of metamaterial structures aimed at vibration isolation, acoustic manipulation, and broadband attenuation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5197 - 5209"},"PeriodicalIF":4.0,"publicationDate":"2026-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189318","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}

引用次数: 0

Deformation and bending moment mitigation through quasi-static adjustment in scissor structures 剪式结构准静力调整的变形弯矩缓解

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-06-11 DOI: 10.1007/s00707-026-04723-4

Ahmed Manguri, Najmadeen Saeed, Marcin Szczepanski, Robert Jankowski

{"title":"Deformation and bending moment mitigation through quasi-static adjustment in scissor structures","authors":"Ahmed Manguri, Najmadeen Saeed, Marcin Szczepanski, Robert Jankowski","doi":"10.1007/s00707-026-04723-4","DOIUrl":"10.1007/s00707-026-04723-4","url":null,"abstract":"<div><p>Scissor structures are widely employed in civil, mechanical, aerospace, and other engineering applications. Although studies have been conducted on their geometrical precepts, including straight, curved folding, and unfolding, researchers have underestimated the effect of bending moment on scissor structures. In a loaded scissor structure, one of the major problems is the significant moment in shear connectors due to the difference in axial forces in the coupled macro-element members. In this study, the bending moment is mitigated to a desired limit. It is done in two ways: first, by providing cables at effective locations to mitigate bending moments and deformation, and second, by providing a novel formulation that adjusts the bending moment by changing the lengths of some effective members using turnbuckles. An optimization algorithm is used to minimize the total change in member length. Several examples are provided, including a large-span scissor structure. The study was conducted in MATLAB, and the results were verified through nonlinear analysis in SAP2000. The results show that the bending moment and deformation can be reduced by 90% by attaching cables. In addition, the presented formulation can determine the minimum member length change required to adjust the bending moment in all structural members within a specified domain.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 9","pages":"5169 - 5196"},"PeriodicalIF":4.0,"publicationDate":"2026-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04723-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189164","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}

引用次数: 0