Meccanica最新文献

{"title":"A triad of magnetohydrodynamic motions: conservation law representation and superposition principle applications","authors":"Colin Rogers","doi":"10.1007/s11012-024-01901-3","DOIUrl":"10.1007/s11012-024-01901-3","url":null,"abstract":"<div><p>Here, novel geometric conservation law representations are established in two-dimensional magnetohydrodynamics whereby a triad of admitted conducting motions is derived. Application is then made of a magnetohydrodynamic superposition principle to generate extended multi-parameter classes of associated conducting motions. In addition, under a correspondence between the magnetogasdynamic system and nonlinear elastostatics an associated invariance is established for a linked canonical neo-Hookean plane strain system.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"295 - 309"},"PeriodicalIF":1.9,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533242","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":"Numerical analysis of energy harvesting property and wake evolution characteristics for semi-passive flapping airfoil with various pitching amplitudes","authors":"Feilin Wang,&nbsp;Bing Zhu,&nbsp;Qisheng Xiao,&nbsp;Wei Zhang,&nbsp;HuaBing Zhang","doi":"10.1007/s11012-025-01940-4","DOIUrl":"10.1007/s11012-025-01940-4","url":null,"abstract":"<div><p>The energy harvesting potential of flapping airfoils has garnered significant research interest, inspired by the natural movements of birds and marine creatures. In this study, a semi-passive flapping airfoil device with a prescribed pitching motion was examined using a transient numerical simulation method that employed an overlapping grid technique. The influence of pitching amplitude (<span>({theta }_{m})</span>) on the energy harvesting characteristics of the flapping airfoil device was analyzed using the momentum theorem and dynamic mode decomposition. The results suggested that the energy harvesting efficiency of the semi-passive flapping device varied with <span>({theta }_{m})</span>, increasing gradually from <span>({theta }_{m})</span> = 10° until reaching a peak at <span>({theta }_{m})</span> = 80°, after which it started to decline. Lift-induced work was identified as the dominant factor contributing to the flapping energy harvesting. The wake structures of the flapping device with different <span>({theta }_{m})</span> values could be categorized into three types: the BVK (<span>({theta }_{m})</span> &lt; 30°), mS (<span>({theta }_{m})</span> = 30°–50°), and 2S + mS (<span>({theta }_{m})</span> &gt; 50°) types. As <span>({theta }_{m})</span> increased, large-scale vortices merged with adjacent small-scale vortices of the same rotation direction while suppressing small-scale vortices with the opposite rotation direction, leading to a reduction in the number of small vortices and rapid dissipation along the flow direction. The momentum theorem was utilized to identify that the vortical force term <i>C</i>_<i>y</i>^<i>(V)</i> and the local fluid acceleration term <i>C</i>_<i>y</i>^<i>(A)</i> predominantly contribute to the energy harvesting efficiency. Under small pitching amplitudes, the dynamic mode decomposition revealed a stripe-like pattern in all the modes. As the wake transitioned to the mS type, Mode1 exhibited three rows of shedding vortices. When the wake transformed to the 2S + mS type, the vortex structures within Mode1 reorganized into two orderly rows of vortices, while higher order modes dissipated rapidly along the flow direction.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"271 - 293"},"PeriodicalIF":1.9,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533241","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":"Reliability analysis of harmonic drive with multiple failure modes based on improved calculation model of flexspline stress","authors":"Di Zuo,&nbsp;Daye Chen,&nbsp;Mingji Zhu,&nbsp;Penghui Jiang,&nbsp;Yizhuo Zhao,&nbsp;Yu Liu,&nbsp;Qiwen Xue,&nbsp;Chongshuai Wang","doi":"10.1007/s11012-024-01931-x","DOIUrl":"10.1007/s11012-024-01931-x","url":null,"abstract":"<div><p>The impact of the axial length of the flexspline on the overall structural reliability of harmonic drives is commonly underestimated in research. To address this issue, this study introduces an improved equation for accurately calculating flexspline stress. In assessing the reliability of harmonic drives, the study takes into account the interplay of flexspline strength failure, flexspline contact failure, and flexspline tooth wear failure, using the Copula function and the Monte Carlo method. Through numerical simulations, the study investigates the influence of flexspline length, revealing a growing impact as the length decreases. Furthermore, considering both flexspline length and multiple failure modes leads to an increased likelihood of failure as calculated. The proposed model significantly enhances the precision of reliability assessments for harmonic drives, thereby allowing for more accurate predictions regarding their operational lifespan.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"257 - 269"},"PeriodicalIF":1.9,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533037","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":"High efficient predictive model for deformation of large panels with interaction effect of multi-point loads","authors":"Yujin Lin,&nbsp;Chang Gao,&nbsp;Haidong Yu,&nbsp;Bin Gu","doi":"10.1007/s11012-025-01937-z","DOIUrl":"10.1007/s11012-025-01937-z","url":null,"abstract":"<div><p>Multi-point loading is the main approach for the deviation control of large panel structures. Panel deformation subjected to multi-point loads is significantly affected by the interactive effects between the loads due to the nonlinear mechanical behavior, which is difficult to be computed by conventional theoretical methods. The solutions of locations and magnitudes of multi-point loads are thus obtained with massive simulations for deviation compensation. In this paper, the interactive effect between the loads is modeled by a semi-analytic method to provide a rapid deformation prediction. Deformation of the multi-point loaded panels is decomposed into basic deformation solutions of individually loaded panels. Numerical correlation between these individual loads and the panel deformation is firstly constructed by simulations. Then, the interaction effects between the individual loads are equivalent as additional interactive forces and expressed as variables in the basic solutions according to the numerical correlations. Consequently, the deformation of multi-point loaded panel is rapidly predicted by the superposition of basic solutions with the interactive forces which are solved by the Betti reciprocity theorem and the principle of minimum potential energy. The results of the proposed method show satisfactory agreement with the experiment and a high computational efficiency. The capability of the proposed method in predicting the large deformation of multi-point loaded panels is thus demonstrated.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"243 - 256"},"PeriodicalIF":1.9,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533023","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":"A low sensitivity design method for spiral bevel gear tooth surface contact pattern considering comprehensive errors of manufacturing and assembling","authors":"Jingyu Hao,&nbsp;Chaosheng Song,&nbsp;Siyuan Liu,&nbsp;Cheng Xue,&nbsp;Zhongrong Wang","doi":"10.1007/s11012-024-01928-6","DOIUrl":"10.1007/s11012-024-01928-6","url":null,"abstract":"<div><p>An accurate mathematical model for the tooth surface of spiral bevel gears incorporating manufacturing errors has been developed. A gear pair meshing model with consideration of assembly error has been derived. The impact of comprehensive errors of manufacturing and assembling on the tooth surface contact patterns has been investigated. A low sensitivity design method for tooth surfaces considering comprehensive errors of manufacture and assemble has been proposed. The results show that with the error changing from negative to positive, the tooth surface contact pattern of the cutter mean radius, ratio of roll, and the pinion axial displacement error move from toe-top to heel-root sides. The tooth surface contact pattern of the radial distance, horizontal, work offset error move from heel-root to the toe-top sides. For the comprehensive errors, the five parameters of the cutter mean radius, radial distance, horizontal, ratio of roll, and pinion axial displacement error have the most significant impact on the tooth surface contact pattern, directly leading to severe edge contact. With surface modification, the movement of parameters under error conditions decreases substantially, and except for a little edge contact in the ratio of rolling error, no edge contact occurs in other parameter errors.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"217 - 242"},"PeriodicalIF":1.9,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143532997","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":"Efficient and simplified numerical contact model for the braking simulation of a magnetic track brake","authors":"Emin Kocbay,&nbsp;Alois Steininger,&nbsp;Andreas Pavicsics,&nbsp;Eray Arslan,&nbsp;Johannes Edelmann","doi":"10.1007/s11012-024-01926-8","DOIUrl":"10.1007/s11012-024-01926-8","url":null,"abstract":"<div><p>The magnetic track brake is a mechanical contact (with friction) based braking system that is typically actuated electromagnetically and used as an emergency brake in railway transport. Within this paper, the practically relevant task of predicting the effective local and global forces of the contacting bodies and the respective deformations during the quasi-static braking process is addressed. Therefore, a simplified, yet efficient and accurate numerical contact model is developed to treat the frictional sliding contact problem. In order to verify and validate the model a couple of numerical experiments are carried out. The proposed model and algorithm are first tested against an analytic benchmark problem of a parabolic indenter indenting an elastic half-space. The developed model is then compared against a reference Abaqus finite element simulation in application-oriented braking simulations that treat the contact problem between a single braking element (pole shoe) and the rail. The results demonstrate and highlight the applicability and efficiency of the proposed model but also show the current limitations and shortcomings that hint at possible future augmentations.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"195 - 216"},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11012-024-01926-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533050","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":"An efficient cross-platform multi-material topology optimization approach occupying enhanced BESO method","authors":"Wangyu Liu,&nbsp;Guanghui Huang,&nbsp;Weigui Xie","doi":"10.1007/s11012-024-01916-w","DOIUrl":"10.1007/s11012-024-01916-w","url":null,"abstract":"<div><p>This paper introduces an engineering algorithm that utilizes PYTHON as an interface and integrates MATLAB and ABAQUS software. The algorithm enhances the Bi-directional Evolutionary Structure Optimization soft killing method, enabling it to perform topology optimization for multiple materials. Additionally, we incorporate adaptive dynamic evolution rates(ER) to accelerate the acquisition of stable topology optimization results. This method consists of a main function and four dependency functions. The main function includes element sensitivity calculation, sensitivity filtering, updating design variables, and optimization loop function. The other functions are responsible for creating new inp files for optimization calculation, extracting node information, and obtaining finite element analysis results. The algorithm’s effectiveness and efficiency were verified through numerical examples. Researchers can directly create models in ABAQUS, apply loads, and perform analysis without the effort to write custom code.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"173 - 193"},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533075","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":"A shape sensing approach for laminated plate through coupling isogeometric scaled boundary element with inverse finite element method","authors":"Feifei Zhao,&nbsp;Hao Zhang,&nbsp;Bo Feng,&nbsp;Jingli Du","doi":"10.1007/s11012-024-01925-9","DOIUrl":"10.1007/s11012-024-01925-9","url":null,"abstract":"<div><p>The inverse finite element method (iFEM) plays an important role in deformation monitoring of the laminated plate structure by using surface strain measurements, which is also called “shape sensing”. The standard iFEM needs to divide the plate structure into several inverse elements and deformation field of each inverse element is reconstructed based on the measured strain information of each inverse element. Further, the full-field displacements can be obtained by assembling the displacement matrix of the each inverse element. However, in practical engineering, due to the installation of electronic equipment, the surface strains of some inverse elements cannot be measured, which makes it impossible to establish the shape sensing model. To this problem, this paper proposes a novel shape sensing algorithm for laminated plate structure, where the strain sensors are not required to be installed in each inverse element. In this approach, the non-uniform rational B-spline basis functions are adopted for interpolating the kinematic variables, and the scaled boundary finite element method can transform the local into global displacement fields, where the laminated plate structure is discrete into the 2D in-plane dimension. A cantilever laminated plate is used as study cases. The numerical results demonstrate that the proposed method can accurately reconstruct the displacement field and the accuracy is with in 6%. Therefore, the established shape sensing model can be used as an efficient tool for deformation monitoring of the laminated plate structure in practical engineering.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"155 - 172"},"PeriodicalIF":1.9,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533022","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":"Dynamics analysis of the round-wheel compound bow model","authors":"Yanan He,&nbsp;Li He,&nbsp;Wei Li,&nbsp;Yongqiang Li,&nbsp;Weihua Liu,&nbsp;liang Liu","doi":"10.1007/s11012-024-01929-5","DOIUrl":"10.1007/s11012-024-01929-5","url":null,"abstract":"<div><p>This article introduces a round-wheel compound dynamic model to simulate the force process after the release of the compound bow. This model is developed in the static model established by M.Tiermas, a more refined model was obtained through the kinetic energy theorem, which considers the influence of the mass distribution of bow limb and bowstring on the dynamic process, rather than simplifying the parameters of bow limb and bowstring to concentrated mass. This article analyzes the changes in force and energy of each component of the compound bow over time and drawing distance after the release of the bowstring. The analysis reveals that the string is the primary factor affecting the efficiency of the compound bow and is also the most vulnerable component, as the peak force it experiences during rebound is much greater than the force when in a static state. This model provides a theoretical basis for the design of the round-wheel compound bow structure.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 1","pages":"141 - 154"},"PeriodicalIF":1.9,"publicationDate":"2024-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108996","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":"Multi-state meshing characteristics and global nonlinear dynamics of a spur gear system considering local tooth breakage","authors":"Qing-Zhong Gong,&nbsp;Jian-Fei Shi,&nbsp;Wen-Hu Nan,&nbsp;Gang Zhao,&nbsp;Peng-Fei Qi","doi":"10.1007/s11012-024-01924-w","DOIUrl":"10.1007/s11012-024-01924-w","url":null,"abstract":"<div><p>The meshing state of a gear pair is significantly complex due to the presence of non-integer contact ratio and backlash, especially when there is a local tooth breakage (LTB). This paper presents the multi-state meshing behavior and global nonlinear dynamic characteristic of a spur gear pair with LTB. In order to obtain an accurate meshing state, a time-varying contact ratio considering LTB is calculated, and then nine meshing states and their boundary conditions are extracted. Later, a multi-state meshing nonlinear dynamic model incorporating the effect of LTB is developed. The time-varying meshing stiffness and load distribution coefficient considering LTB are calculated and analyzed in the time domain. Bifurcation and chaos characteristics of multi-state meshing behavior changing with meshing frequency under multi-initial values are studied. The global bifurcation of coexistence behavior is revealed based on the bifurcation dendrogram and basin of attraction. The result shows that LTB not only increases the dynamic meshing force but also changes the dynamic behavior if multi-state meshing occurs. Bifurcation and chaos induce multi-state meshing behavior. A special multi-initial bifurcation phenomenon, incomplete bifurcation, is found to be the primary factor contributing to the coexistence of attractors and parallel branches. This study provides a more accurate model for multi-state meshing and multi-initial bifurcation of a spur gear pair with LTB.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 1","pages":"119 - 140"},"PeriodicalIF":1.9,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108978","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}