Ncamisile P. Khanyile, Ahlem Alia, Philippe Dufrénoy, Géry De Saxcé
{"title":"Node-to-surface contact algorithm for the calculation of the acoustic response","authors":"Ncamisile P. Khanyile, Ahlem Alia, Philippe Dufrénoy, Géry De Saxcé","doi":"10.1007/s11044-023-09953-1","DOIUrl":"https://doi.org/10.1007/s11044-023-09953-1","url":null,"abstract":"<p>Plates are omnipresent in many industrial machinery and structures, such as tanks and bridges. In industry, the impacted plates represent a significant noise source, often annoying. The models dealing with this research theme are generally limited in literature to one part of the problem. Indeed, some numerical developments have been established to simulate the noise an impacted plate generates without calculating the contact force. This one has always been either estimated by Hertz’s law or experimentally. In this paper, an IGA-based model allowing the prediction of the vibration and radiation of the impacted plate is described. In this model, the plate-sphere impact is introduced using a penalty method based on a physical node-to-surface contact algorithm within an isogeometric framework. Based on Bézier extraction of Bsplines, this model makes isogeometric analysis compatible with existing finite elements codes for node-to-surface contact. The only changes needed are limited to the shape function routine without any additional change in the contact formulation. This same discretization method should also extend the scope of this model to other contact formulations and contacting bodies of more complex geometries than has been done in this work.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138513004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 continuous contact-force model for the impact analysis of viscoelastic materials with elastic aftereffect","authors":"Yifei Zhang, Yong Ding, Guoshan Xu","doi":"10.1007/s11044-023-09954-0","DOIUrl":"https://doi.org/10.1007/s11044-023-09954-0","url":null,"abstract":"<p>The elastic aftereffect phenomenon of viscoelastic materials under low-velocity impact has been widely observed in practical engineering. This paper proposes a new approximated solution for the Wang model, which has relatively high accuracy and simplicity, and is helpful for impact analysis of viscoelastic materials with elastic aftereffect. The approximated solution of the hysteresis damping factor is derived theoretically based on an approximation for the relation between the relative deformation and the relative velocity. The new approximated solution is verified by comparing with the exact solution and two sets of experimental data of previous studies. A series of numerical simulations are conducted to analyze the influence of the coefficient of restitution and the remaining surface-deformation ratio on the system’s dynamic response. The results indicate that the inverse restitution function is almost identical to the exact solution in the whole range of the coefficient of restitution. By comparing with experimental results, it has been proven that the new approximated solution has relatively high accuracy in simulating impacts with elastic aftereffect. The coefficient of restitution has more influence on the systems’ dynamic response than the remaining surface-deformation ratio. The described contact-force model can accurately simulate the impact of viscoelastic materials with elastic aftereffect.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preliminary optimization of cup-implant orientation in total-hip arthroplasty using a parametric predictive analysis of lower-limb dynamics influenced by spine stiffness","authors":"AliAsghar MohammadiNasrabadi, John McPhee","doi":"10.1007/s11044-023-09951-3","DOIUrl":"https://doi.org/10.1007/s11044-023-09951-3","url":null,"abstract":"<p>The traditional Lewinnek safe zone used for Total-Hip Arthroplasty (THA) surgery has been found to be inadequate, as dissatisfaction rates have risen after this surgery. It is evident that spinopelvic parameters and spine stiffness, factors that have been overlooked previously, must be taken into account for optimal surgical outcomes. In this paper, a novel predictive dynamic modeling approach was proposed to address this issue. This approach involved the development of a multibody model of a human that contained nonlinear spinal elements, which was validated by comparing it to literature in-vitro experiments and conducting a motion-capture experiment. To simulate human sit-to-stand motion, this model was employed with an optimal control approach based on trajectory optimization. Human joint angles were extracted from conducted simulations of different scenarios: normal, fused, and stiff spines. It was found that spine stiffness had a significant effect on lower-limb motion and the risk of implant impingement. Different scenarios of spine stiffness were examined, such as different levels of spinal fusion or an anatomically stiff spine. The optimal acetabular-cup orientation was calculated based on implant-impingement criteria using predicted motions for different spinal-condition scenarios, and the results compared to the clinically recommended orientation values for the same categories of patients. Our preliminary optimization suggests increasing the anteversion-cup angle from <span>(23 ^{circ })</span> (normal spine) to <span>(29 ^{circ })</span> for an anatomically stiff spine. For fused spines, the angle should fall within the range of 27–38<sup>∘</sup>, depending on the level of fusion. This research is the first of its kind to examine spine flexibility in different scenarios and its impact on lower-limb motion. The findings of this paper could help improve THA surgical planning and reduce the risk of hip impingement or dislocation after THA.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jan Brüdigam, Stefan Sosnowski, Zachary Manchester, Sandra Hirche
{"title":"Variational integrators and graph-based solvers for multibody dynamics in maximal coordinates","authors":"Jan Brüdigam, Stefan Sosnowski, Zachary Manchester, Sandra Hirche","doi":"10.1007/s11044-023-09949-x","DOIUrl":"https://doi.org/10.1007/s11044-023-09949-x","url":null,"abstract":"Abstract Multibody dynamics simulators are an important tool in many fields, including learning and control in robotics. However, many existing dynamics simulators suffer from inaccuracies when dealing with constrained mechanical systems due to unsuitable integrators with bad energy behavior and problematic constraint violations, for example in contact interactions. Variational integrators are numerical discretization methods that can reduce physical inaccuracies when simulating mechanical systems, and formulating the dynamics in maximal coordinates allows for easy and numerically robust incorporation of constraints such as kinematic loops or contacts. Therefore, this article derives a variational integrator for mechanical systems with equality and inequality constraints in maximal coordinates. Additionally, efficient graph-based sparsity-exploiting algorithms for solving the integrator are provided and implemented as an open-source simulator. The evaluation of the simulator shows improved physical accuracy due to the variational integrator and the advantages of the sparse solvers. Comparisons to minimal-coordinate algorithms show improved numerical robustness, and application examples of a walking robot and an exoskeleton with explicit constraints demonstrate the necessity and capabilities of maximal coordinates.","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135873897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Salim Hobusch, Ilker Nikelay, Christine Nowakowski, Elmar Woschke
{"title":"Parameter identification of multibody vehicle models using neural networks","authors":"Salim Hobusch, Ilker Nikelay, Christine Nowakowski, Elmar Woschke","doi":"10.1007/s11044-023-09950-4","DOIUrl":"https://doi.org/10.1007/s11044-023-09950-4","url":null,"abstract":"","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Francisco Vieira, João Pagaimo, Hugo Magalhães, Jorge Ambrósio, Aurélio Araújo
{"title":"A peridynamics approach to flexible multibody dynamics for fracture analysis of mechanical systems","authors":"Francisco Vieira, João Pagaimo, Hugo Magalhães, Jorge Ambrósio, Aurélio Araújo","doi":"10.1007/s11044-023-09948-y","DOIUrl":"https://doi.org/10.1007/s11044-023-09948-y","url":null,"abstract":"Abstract The classical theory of continuum mechanics is formulated using partial differential equations (PDEs) that fail to describe structural discontinuities, such as cracks. This limitation motivated the development of peridynamics, reformulating the classical PDEs into integral-differential equations. In this theory, each material point interacts with its neighbours inside a characteristic length-scale through bond-interaction forces. However, while peridynamics can simulate complex multi-physics phenomena, its integration in the study of mechanical systems is still limited. This work presents a methodology that incorporates a peridynamics formulation into a planar multibody dynamics (MBD) formulation to allow the integration of flexible structures described by peridynamics into mechanical systems. A flexible body is described by a collection of point masses, in analogy with the meshless collocation scheme commonly used for peridynamics discretisations. Each point mass interacts with other point masses through nonlinear forces governed by a bond-based peridynamics (BBPD) formulation. The virtual bodies methodology enables the definition of kinematic joints connecting the flexible body with the neighbouring bodies. The implementation of the methodology proposed is illustrated using various mechanisms with different levels of complexity. Notched plates subjected to different loading conditions are compared with the results presented in the literature of the peridynamics field. The deformations of a flexible slider-crank mechanism compare well with the results obtained using a classical flexible MBD formulation. Additionally, three scenarios involving a rotating pendulum illustrate how the methodology proposed allows simulating impact scenarios. The results demonstrate how this methodology is capable to successfully simulate highly nonlinear phenomena, including crack propagation, in a multibody framework.","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Influence of gravity on the vibration characteristics of a geometrically nonlinear McPherson-suspension model","authors":"Vaibhav Dhar Dwivedi, Pankaj Wahi","doi":"10.1007/s11044-023-09946-0","DOIUrl":"https://doi.org/10.1007/s11044-023-09946-0","url":null,"abstract":"","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136068541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical and numerical investigations of linear and nonlinear torsional strains using position gradients","authors":"Ahmed A. Shabana, Ahmed E. Eldeeb, Hao Ling","doi":"10.1007/s11044-023-09944-2","DOIUrl":"https://doi.org/10.1007/s11044-023-09944-2","url":null,"abstract":"","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136067697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Prapanpong Damsongsaeng, Rickard Persson, Sebastian Stichel, Carlos Casanueva
{"title":"Estimation of wheelset equivalent conicity using the dual extended Kalman filter","authors":"Prapanpong Damsongsaeng, Rickard Persson, Sebastian Stichel, Carlos Casanueva","doi":"10.1007/s11044-023-09942-4","DOIUrl":"https://doi.org/10.1007/s11044-023-09942-4","url":null,"abstract":"Abstract This paper presents the implementation of the dual extended Kalman filter (DEKF) to estimate wheelset equivalent conicity, an accurate understanding of which can facilitate the implementation of an effective model-based estimator. The estimator is developed to identify the wheelset equivalent conicity of high-speed railway vehicles while negotiating a curve. The designed DEKF estimator employs two discrete-time extended Kalman filters combining state and parameter estimators in parallel. This estimator uses easily available measurements from acceleration sensors measuring at axle boxes and a rate gyroscope measuring bogie frame yaw velocity. Two tests, including linearized and actual wheel-rail geometry, are carried out at a speed of 250 km/h with stochastic and deterministic track features using multibody simulations, SIMPACK. The results with acceptable estimation errors for both track conditions indicate adequate performance and reliability of the designed DEKF estimator. They demonstrate the feasibility of utilizing this DEKF method in rail vehicle applications as the knowledge of time-varying parameters is not only important in achieving an effective estimator for vehicle control but also useful for vehicle condition monitoring.","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136236002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Space-time rigid multibody dynamics","authors":"C. Hesch, S. Glas, S. Schuß","doi":"10.1007/s11044-023-09945-1","DOIUrl":"https://doi.org/10.1007/s11044-023-09945-1","url":null,"abstract":"Abstract In this contribution, we apply space-time formulation on constrained rigid body dynamics. In particular, we discretize directly Hamilton’s principle using appropriate space-time approximation spaces for the variational problem. Moreover, we make use of a rotationless formulation for the rigid bodies, and thus we have to define appropriate approximation spaces for the Lagrange multipliers as well. Moreover, we make use of Livens’ principle, introducing independent quantities for the position, velocity, and momentum, where the latter can be considered as Lagrange multipliers, and we apply this concept to the space-time rigid body formulation. Finally, we demonstrate the convergence of the different approaches and the superiority in terms of computational effort, and thus total energy consumption of dynamical simulations.","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136261516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}