Meccanica最新文献

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Hybrid film cooling geometry analysis with OpenFOAM 利用 OpenFOAM 进行混合薄膜冷却几何分析
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-07-03 DOI: 10.1007/s11012-024-01836-9
Ilyes Belouddane, Mohammed Hamel, Azzeddine Khorsi
{"title":"Hybrid film cooling geometry analysis with OpenFOAM","authors":"Ilyes Belouddane,&nbsp;Mohammed Hamel,&nbsp;Azzeddine Khorsi","doi":"10.1007/s11012-024-01836-9","DOIUrl":"10.1007/s11012-024-01836-9","url":null,"abstract":"<div><p>This paper presents a numerical investigation of the film cooling performance of a new hybrid film cooling geometry. The new hybrid concept was created to enhance the film cooling performance of gas turbine blade. The scheme consists of a converging slot hole or console with a cylindrical hole featuring a branching cylindrical hole. An analysis of the cooling performance of the advanced hybrid film cooling model was carried out across blowing ratios of (B = 0.37, 0.60, and 0.87) at a density ratio of DR=1. A numerical simulation was performed using open-source CFD software OpenFOAM. The validity of the current numerical model was evaluated for the console case, revealing excellent agreement between the numerical results and the experimental data. In this study, two distinct forms, F1 and F2, are represented with the same position variation; the SST K − <span>({omega })</span> turbulence model was selected as the turbulence model for the analysis. The results show that the hybrid concepts, including auxiliary jets, enhance film cooling efficiency by effectively dispersing coolant across downstream surfaces and reducing the impact of the counter-rotating vortex pair by improving mixing with the mainstream flow. Furthermore, the supplementary jet ensures the primary coolant jet moves beside the test surface, which results in higher effectiveness, especially at high blowing ratios.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1103 - 1119"},"PeriodicalIF":1.9,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141546365","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
Hybrid damping control of magnetorheological semi-active suspension based on feedback linearization Kalman observer 基于反馈线性化卡尔曼观测器的磁流变半主动悬架混合阻尼控制
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-07-01 DOI: 10.1007/s11012-024-01827-w
Yu Jiang, Ruochen Wang, Dong Sun, Renkai Ding, Lin Yang
{"title":"Hybrid damping control of magnetorheological semi-active suspension based on feedback linearization Kalman observer","authors":"Yu Jiang,&nbsp;Ruochen Wang,&nbsp;Dong Sun,&nbsp;Renkai Ding,&nbsp;Lin Yang","doi":"10.1007/s11012-024-01827-w","DOIUrl":"10.1007/s11012-024-01827-w","url":null,"abstract":"<div><p>To improve the dynamic performances of nonlinear magnetorheological (MR) semi-active suspension, a hybrid damping control (HDC) based on Kalman observer of nonlinear suspension system is proposed. Firstly, the mechanical test of MR damper is carried out, and the mechanical model of MR damper and suspension system model are established. On this basis, a feedback linearization Kalman observer (FLKO) based on differential geometry theory is designed. Then, the working modes of the MR suspension system are divided according to different driving roads. HDC is proposed to achieve the dynamic control objectives under different working modes, and genetic algorithm is used to optimize the coefficients of skyhook, groundhook and distribution. The simulation results show that the estimation accuracy of FLKO is more than 85%. Compared with passive suspension, the tire dynamic load is optimized by 15.53% on A class road, improving the road holding. On B class road, the body acceleration, suspension deflection and tire dynamic load are optimized by 2.22%, 23.76% and 1.47% respectively, optimizing the dynamic performances comprehensively. On C class road, the body acceleration is optimized by 17.69%, improving the ride comfort effectively. Finally, a test bench is built, and the test results are basically consistent with simulation, which verifies the effectiveness of the designed FLKO and HDC.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1087 - 1102"},"PeriodicalIF":1.9,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507595","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
Dynamic characteristics of rotor system with parallel and angular misaligned involute spline coupling 带有平行和角度错位渐开线花键联轴器的转子系统的动态特性
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-06-27 DOI: 10.1007/s11012-024-01842-x
Xueyang Miao, Dong Jiang, Xing Ai, Fujian Xu, Dahai Zhang, Qingguo Fei
{"title":"Dynamic characteristics of rotor system with parallel and angular misaligned involute spline coupling","authors":"Xueyang Miao,&nbsp;Dong Jiang,&nbsp;Xing Ai,&nbsp;Fujian Xu,&nbsp;Dahai Zhang,&nbsp;Qingguo Fei","doi":"10.1007/s11012-024-01842-x","DOIUrl":"10.1007/s11012-024-01842-x","url":null,"abstract":"<div><p>Spline couplings are commonly used to transfer rotary motion in rotating structures, such as low-pressure rotor systems in dual-rotor aero-engines. The misalignment introduced by spline coupling assembly error will seriously affect the safe operation of rotor system. In this paper, a method is proposed to calculate the spline meshing stiffness under arbitrary misalignment conditions, considering the static and dynamic misalignment. The accurate meshing parameters of spline couplings under parallel and angular misalignments were determined by computing the effective meshing region of misaligned spline teeth. Furthermore, a time-varying stiffness-damping spline model is established, considering friction on the spline teeth surfaces, to derive the dynamic model of the spline-rotor system under arbitrary misalignment conditions. The Newmark-<i>β</i> method, in conjunction with the Newton–Raphson method, was used to solve the dynamic response of the system, and the correctness of the model was verified by experiments. Finally, the variation of spline meshing stiffness and force caused by static and dynamic misalignment is described, and the effects of parallel and angular misalignment, as well as the phase difference in unbalance, on the vibration response and self-excited vibrations are also investigated.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1061 - 1085"},"PeriodicalIF":1.9,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507598","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 statistical boundary for 3D rarefied flows through meshes: implementation to a new version of dsmcFoam+ and wind tunnel validation 穿过网格的三维稀流统计边界:在新版 dsmcFoam+ 中的实施和风洞验证
IF 2.7 3区 工程技术
Meccanica Pub Date : 2024-06-26 DOI: 10.1007/s11012-024-01840-z
Tristan Staszak
{"title":"A statistical boundary for 3D rarefied flows through meshes: implementation to a new version of dsmcFoam+ and wind tunnel validation","authors":"Tristan Staszak","doi":"10.1007/s11012-024-01840-z","DOIUrl":"https://doi.org/10.1007/s11012-024-01840-z","url":null,"abstract":"<p>The Direct Simulation Monte Carlo (DSMC) method has become a standard tool for rarefied aerodynamics and microchannel flows. However, the performance benefits of DSMC, such as adaptive grid sizes and number of particles, are constrained by the need to resolve small geometric details of mesh applications within relatively large simulation volumes. The requirement for a sufficient number of particles in even the smallest cells imposes a significant computational burden. A novel set of cyclic statistical boundary conditions is proposed to address the computational bottleneck associated with simulating micrometre-scale structures prevalent in atmospheric and space research under rarefied flow conditions. These conditions account for the geometric parameters of a geometric mesh and the angular dependency of impacting particles, aiming to alleviate the computational challenges posed by conventional approaches. Validation against wind tunnel measurements demonstrates excellent agreement for one of the implemented boundaries, able to simulate fine meshes for conditions of rocket soundings in the Mesosphere. The newly developed boundary conditions are implemented within the advanced DSMC solver, dsmcFoam+ framework. For this study, the solver is ported from OpenFOAM<sup>®</sup> version 2.4.0 to the OpenFOAM<sup>®</sup> version v2306 to leverage recent code developments, particularly in dynamic meshes, load balancing, and barycentric particle tracking. This advancement enhances the capabilities of DSMC simulations, offering improved fidelity and accuracy in capturing rarefied flow phenomena.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"25 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507600","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 numerical model for total bending fatigue life estimation of carburized spur gears considering the hardness gradient and residual stress 考虑硬度梯度和残余应力的渗碳直齿轮总弯曲疲劳寿命估算数值模型
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-06-21 DOI: 10.1007/s11012-024-01841-y
Xianshun Sun, Jun Zhao, Shaokang Song, Yongliang Lu, Huiyang Sun
{"title":"A numerical model for total bending fatigue life estimation of carburized spur gears considering the hardness gradient and residual stress","authors":"Xianshun Sun,&nbsp;Jun Zhao,&nbsp;Shaokang Song,&nbsp;Yongliang Lu,&nbsp;Huiyang Sun","doi":"10.1007/s11012-024-01841-y","DOIUrl":"10.1007/s11012-024-01841-y","url":null,"abstract":"<div><p>The paper introduces a novel three-dimensional numerical model considering hardness gradient and residual stress to predict carburized gears’ total bending fatigue life. The crack initiation life was forecasted by the strain life method, considering hardness gradient and residual stress. Linear elastic stresses and strains in the tooth root fillet were corrected by Neuber’s rule for elastic–plastic material behavior. The tooth root area of the spur gear is segmented into layers using the thin slice method, and the fatigue properties of each layer are determined using the multilayer method. The crack propagation life was predicted by the extended finite element method (XFEM), considering hardness gradient and residual stress. Fracture surface analysis with electron microscopy determines the exact location where cracks initiate. The high-speed camera records the path and life of crack propagation. Single-tooth bending fatigue life (STBF) tests are conducted to validate the proposed model. The predicted fatigue lifetimes, failure locations, and crack propagation paths agree well with the experimental results.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1037 - 1060"},"PeriodicalIF":1.9,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507596","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
Tribo-dynamic modelling and analysis for a high-speed helical gear system with time-varying backlash and friction under Elastohydrodynamic Lubrication condition 弹性流体动力润滑条件下具有时变间隙和摩擦力的高速斜齿轮系统的三动态建模与分析
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-06-20 DOI: 10.1007/s11012-024-01793-3
Zhibin Zheng, Hongzhi Yan, Jiangming Wu, Min Ge, Yin Zhang
{"title":"Tribo-dynamic modelling and analysis for a high-speed helical gear system with time-varying backlash and friction under Elastohydrodynamic Lubrication condition","authors":"Zhibin Zheng,&nbsp;Hongzhi Yan,&nbsp;Jiangming Wu,&nbsp;Min Ge,&nbsp;Yin Zhang","doi":"10.1007/s11012-024-01793-3","DOIUrl":"10.1007/s11012-024-01793-3","url":null,"abstract":"<div><p>High-speed gear reducers are highly sensitive to vibration and noise, especially in new-energy vehicles. Hence, the current nonlinear dynamics model of gears does not fully consider the influence of tooth microstructure on backlash and friction. This study establishes a nonlinear friction dynamics model for a high-speed helical gear system, which includes time-varying dynamic backlash and friction coefficient based on the fractal characterization of tooth roughness. Furthermore, it investigates the influence of tooth surface roughness on the dynamic performance by taking into account the interaction between friction and vibration under Elastohydrodynamic Lubrication (EHL). Theoretical simulation results show that an increase in tooth roughness leads to an overall deterioration in the dynamic performance of the helical gear system; however, local optimization can also be observed. In the case of a dynamic tooth backlash, the amplitude of displacement oscillations increases, and the number of frequencies increases; in terms of frictional coefficient, the amplitude of displacement oscillations increases, but the change is small compared with that of the dynamic tooth backlash, and the number of frequencies in the spectrum decreases. The results indicate that the proposed model can provide a reference for controlling the tooth roughness of high-speed gears.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1019 - 1036"},"PeriodicalIF":1.9,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507597","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
Exploratory habitation vehicles with trim intrinsic control 具有微调内在控制功能的探索性居住飞行器
IF 2.7 3区 工程技术
Meccanica Pub Date : 2024-06-19 DOI: 10.1007/s11012-024-01839-6
Andrea Manuello, Amedeo Manuello, Giuseppe Carlo Marano
{"title":"Exploratory habitation vehicles with trim intrinsic control","authors":"Andrea Manuello, Amedeo Manuello, Giuseppe Carlo Marano","doi":"10.1007/s11012-024-01839-6","DOIUrl":"https://doi.org/10.1007/s11012-024-01839-6","url":null,"abstract":"<p>Considering the space environment and its critical issues and consequent risks, the challenge is to define the way and tools with which future astronauts will be able to act, live and work in space and, in particular on the Moon and Mars, exploiting, at the state of art, knowledge of innovative science, engineering and technology. On the Moon and Mars, the most obvious environmental factors are extreme temperature fluctuations, low gravity and the virtual absence of atmosphere and magnetosphere. The health of a human body can be damaged by reduced values of gravity. Due to the reduced gravity on the Moon and Mars, human bones and muscles are unloaded and begin to weaken. It increases the risk of bone fractures and atrophied muscles for astronauts returning to Earth from prolonged missions. The magnetosphere and atmosphere on Earth shield from much of the dangerous solar and cosmic radiation. Radiation with extremely high energies can damage even living tissue. The surface of the Moon and Mars has been crushed by millions of impacts of celestial bodies such as asteroids, leaving a layer of regolith that could be very deep depending on the areas of the planets. The habitation module, described in this paper, is carried by a vehicle equipped with two pairs of compass shaped legs that act as supports for the habitation module capable of maintaining a certain controlled height with respect to the ground as well as a horizontal attitude, during the movement of the compass. A system of ropes wound on pulleys allows to control the height of the habitat with respect to the ground, control the structure in movement, descent and ascent. The habitat can also be lowered to the ground. The geometry of the shape of the pulleys, around which the ropes are wound, is determined in such a way that the habitation module remains at a certain height during the movement defined by the two compass-shaped advancement supports. The paper describes and analyzes the movement of the pulleys during the entire phase of the movement of the habitation module and their geometric shape is discussed.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"1 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141528569","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
Well-conditioned AI-assisted sub-matrix selection for numerically stable constrained form-finding of reticulated shells using geometric deep Q-learning 利用几何深度 Q-learning,为网状壳的数值稳定约束寻形提供条件良好的人工智能辅助子矩阵选择
IF 2.7 3区 工程技术
Meccanica Pub Date : 2024-06-19 DOI: 10.1007/s11012-024-01769-3
K.-M. M. Tam, R. Maia Avelino, D. Kudenko, T. Van Mele, P. Block
{"title":"Well-conditioned AI-assisted sub-matrix selection for numerically stable constrained form-finding of reticulated shells using geometric deep Q-learning","authors":"K.-M. M. Tam, R. Maia Avelino, D. Kudenko, T. Van Mele, P. Block","doi":"10.1007/s11012-024-01769-3","DOIUrl":"https://doi.org/10.1007/s11012-024-01769-3","url":null,"abstract":"<p>The selection of well-conditioned sub-matrices is a critical concern in problems across multiple disciplines, particularly those demanding robust numerical stability. This research introduces an innovative, AI-assisted approach to sub-matrix selection, aimed at enhancing the form-finding of reticulated shell structures under the xy-constrained Force Density Method (also known as Thrust Network Analysis), using independent edge sets. The goal is to select a well-conditioned sub-matrix within a larger matrix with an inherent graph interpretation where each column represents an edge in the corresponding graph. The selection of ill-conditioned edges poses a significant challenge because it can render large segments of the parameter space numerically unstable, leading to numerical sensitivities that may impede design exploration and optimisation. By improving the selection of edges, the research assists in computing a pseudo-inverse for a critical sub-problem in structural form-finding, thereby enhancing numerical stability. Central to the selection strategy is a novel combination of deep reinforcement learning based on Deep Q-Networks and geometric deep learning based on CW Network. The proposed framework, which generalises across a trans-topological design space encompassing patterns of varying sizes and connectivity, offers a robust strategy that effectively identifies better-conditioned independent edges leading to improved optimisation routines with the potential to be extended for sub-matrix selection problems with graph interpretations in other domains.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"130 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141528568","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
Discrete maximum principle in Hamel’s formalism for nonholonomic optimal control 哈默尔非整体最优控制形式主义中的离散最大原则
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-06-19 DOI: 10.1007/s11012-024-01790-6
Bin Huang, Zhonggui Yi, Donghua Shi
{"title":"Discrete maximum principle in Hamel’s formalism for nonholonomic optimal control","authors":"Bin Huang,&nbsp;Zhonggui Yi,&nbsp;Donghua Shi","doi":"10.1007/s11012-024-01790-6","DOIUrl":"10.1007/s11012-024-01790-6","url":null,"abstract":"<div><p>In this work, a discrete maximum principle in Hamel’s formalism for optimal nonholonomic motion planning is proposed, which is a discrete analogue of the usual necessary conditions for optimality obtained from the Pontryagin maximum principle. The exact Hamel integrator associated with discrete Lagrangian mechanics is adopted to derive the forced and nonholonomic integrator. A universal discrete nonholonomic optimal control framework based on moving frames is established. The optimal nonholonomic trajectory optimization for a wall-crawling mobile robot moving on a spherical tank is considered for the established framework, where the configuration space is a non-Euclidean space. The simulated results by the proposed framework accurately capture some interesting nonholonomic behaviors and geometric structures for the given mechanical model, and the feasibility and computing efficiency are verified by comparison with the open-loop control and direct parameter optimization methods.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 7","pages":"1001 - 1018"},"PeriodicalIF":1.9,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141528567","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
Bandgaps in phononic crystal third-order shear deformation microbeams 声子晶体三阶剪切形变微梁中的带隙
IF 1.9 3区 工程技术
Meccanica Pub Date : 2024-06-18 DOI: 10.1007/s11012-024-01823-0
G. Y. Zhang, T. Wang, J. Hong
{"title":"Bandgaps in phononic crystal third-order shear deformation microbeams","authors":"G. Y. Zhang,&nbsp;T. Wang,&nbsp;J. Hong","doi":"10.1007/s11012-024-01823-0","DOIUrl":"10.1007/s11012-024-01823-0","url":null,"abstract":"<div><p>Periodic composite beams play an important role in the bandgap design of phononic crystals. However, for thick beams or high frequencies, conventional theoretical displacement assumptions for beams have limitations. Therefore, it is desirable to improve the accuracy of the vibration frequencies and bandgaps of phononic crystals by using higher-order beam theory. In this work, a modified couple stress theory accounting for the microstructure effect is combined with the third-order shear deformation beam theory to quantitatively study bandgaps in phononic crystal microbeams under different thicknesses and geometric parameters. The elastic wave band structure of the phononic crystal beams is calculated using an improved plane wave expansion method and compared numerically with the finite element model. In addition, compared with the Bernoulli–Euler and Timoshenko beams, the current third-order shear beam has better prediction accuracy for the first bandgap. The numerical results also show that the microstructure effect is significant at the micron scale. Furthermore, at all length scales, the bandgap sizes change significantly with the change in unit cell length and volume ratio.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"59 9","pages":"1425 - 1433"},"PeriodicalIF":1.9,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141528572","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
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