Multibody System Dynamics最新文献

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Frequency veering of railway vehicle systems and its mapping to vibration characteristics 铁路车辆系统的频率偏移及其与振动特性的对应关系
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-05-14 DOI: 10.1007/s11044-024-09989-x
Guangyu Liu, Dao Gong, Jinsong Zhou, Lihui Ren, Zegen Wang, Xin Deng, Weiguang Sun, Taiwen You
{"title":"Frequency veering of railway vehicle systems and its mapping to vibration characteristics","authors":"Guangyu Liu, Dao Gong, Jinsong Zhou, Lihui Ren, Zegen Wang, Xin Deng, Weiguang Sun, Taiwen You","doi":"10.1007/s11044-024-09989-x","DOIUrl":"https://doi.org/10.1007/s11044-024-09989-x","url":null,"abstract":"<p>Frequency veering is a phenomenon that occurs during modal parameter changes and is closely related to the response characteristics of the system. First, by taking a system with simple DOFs as the research object, the variations in the modal damping ratio and mode shape in the process of frequency veering are analysed, and a criterion for identifying this phenomenon is preliminarily proposed. Then, to explore the modal changes in complex vehicle systems with multiple DOFs, an adaptive modal continuous tracking algorithm based on a local search algorithm is proposed that takes the Euclidean closeness between complex mode shapes as an index. Frequency veering is analysed with the established vehicle system dynamics model (Model I) and reproduced through the SIMPACK model (Model II) for multibody dynamics simulation. The perturbation method is used to analyse the mechanism by which the vehicle system eigenvectors are prone to mutations during frequency veering, and the abnormal changes in the mode shapes during this process are further verified. In addition, two quantitative indices for identifying frequency veering phenomena are proposed based on the modal assurance criterion and mode shape similarity. Finally, the mapping relationship between the frequency veering and vehicle system response is explored. The results indicate that before and after frequency veering, the mode shapes interchange, and in the frequency veering zone, the damping-hopping phenomenon occurs, resulting in a significant decrease in system stability. Corresponding to the phenomena of modal damping ratios and mode shapes, the motion morphology of the vehicle system is clearly observable. Moreover, the response at the DOFs of the car body and bogie are obviously enhanced; these responses are also manifested in the increasing vibrations of the car body and bogie and the deterioration of the vehicle ride quality.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"199 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521801","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}
引用次数: 0
Review and comparison of empirical friction coefficient formulation for multibody dynamics of lubricated slotted joints 润滑槽形接头多体动力学经验摩擦系数公式的回顾与比较
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-05-10 DOI: 10.1007/s11044-024-09988-y
Marco Cirelli, Matteo Autiero, Nicola Pio Belfiore, Giovanni Paoli, Ettore Pennestrì, Pier Paolo Valentini
{"title":"Review and comparison of empirical friction coefficient formulation for multibody dynamics of lubricated slotted joints","authors":"Marco Cirelli, Matteo Autiero, Nicola Pio Belfiore, Giovanni Paoli, Ettore Pennestrì, Pier Paolo Valentini","doi":"10.1007/s11044-024-09988-y","DOIUrl":"https://doi.org/10.1007/s11044-024-09988-y","url":null,"abstract":"<p>In recent times, many industrial applications have demanded innovative energy-efficient solutions. One of the main causes of energy loss is due to friction between body surfaces in contact. A great amount of research has been aimed at understanding the friction mechanisms to allow for its reliable prediction during multibody simulation. In the 1950s and 1960s, many experimental studies were carried out, leading to the coefficient of friction formulas for lubricated surfaces under a combination of sliding and rolling relative motion. The formulas have been mainly derived by the mathematical fitting of results obtained from experimental measurements on rolling disks and different load, lubricating and kinematic conditions. The purpose of this paper is twofold: on the one hand, it reviews semi-empirical formulas for computing the friction coefficient in lubricated contact under various operating conditions; on the other hand, it implements and compares contact force models coupled with the metal-metal lubricated empirical friction formulas in a multibody dynamics simulation environment. Implementing empirical formulas is straightforward and computationally efficient, but one can evaluate the performance of these models in characterizing the dynamics of the lubricated joint. For this purpose, a multibody simulation of a Scotch yoke and a Whitworth quick return mechanisms with a nonideal prismatic joint are conducted. The existence of clearance causes the dynamic behavior of the system to be different from the ideal joint. The difference between each friction coefficient model is emphasized by simulation output and computation time.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"21 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926861","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}
引用次数: 0
Comparison between quasi-static and multibody dynamic simulations for wheel-rail contact analysis 用于轮轨接触分析的准静态模拟与多体动态模拟的比较
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-04-08 DOI: 10.1007/s11044-024-09979-z
P. A. P. Pacheco, P. G. Ramos, T. L. Sá, G. F. M. Santos, A. Gay Neto, A. A. Santos
{"title":"Comparison between quasi-static and multibody dynamic simulations for wheel-rail contact analysis","authors":"P. A. P. Pacheco, P. G. Ramos, T. L. Sá, G. F. M. Santos, A. Gay Neto, A. A. Santos","doi":"10.1007/s11044-024-09979-z","DOIUrl":"https://doi.org/10.1007/s11044-024-09979-z","url":null,"abstract":"<p>Rails experience contact with a range of wheel profiles that pummel their surface at different points and with different intensities. This work compares two methods for evaluating pummeling analyzes for the wheel-rail interaction: simplified quasi-static model and multibody dynamics simulations. The first is solved with the GIRAFFE program and simulates the interaction of a single wheelset with the rail in a quasi-static approach. In the second, the full dynamics of a railway wagon on a track layout are evaluated using the multibody dynamics simulation programs SIMPACK<sup>®</sup> and VAMPIRE<sup>®</sup>. The proposal for a quasi-static model is to reduce the time and computational effort to perform a pummeling analysis and quickly evaluate thousands of cases of wheel-rail contact. Track parameters and vehicle loads of a heavy haul railway are considered for the simulations. The results showed that the quasi-static model has a good correlation with the dynamic models on tangent track sections. For the curved sections, differences were observed in the distribution of pressures due to the absence of creep forces in the quasi-static model. The comparison between the models also showed slightly different results due to the different calculation of contact in each approach. The quasi-static approach reduced the time consuming by at least 73.4% over the multibody approach. Notwithstanding, the proposed model shows to be promising in replacing complete dynamic analysis for time-consuming tasks such as pummeling.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"12 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586988","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}
引用次数: 0
Forward dynamics simulation of a simplified neuromuscular-skeletal-exoskeletal model based on the CMA-ES optimization algorithm: framework and case studies 基于 CMA-ES 优化算法的简化神经肌肉-骨骼-骨骼模型的前向动力学模拟:框架和案例研究
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-04-08 DOI: 10.1007/s11044-024-09982-4
Wei Jin, Jiaqi Liu, Qiwei Zhang, Xiaoxu Zhang, Qining Wang, Jian Xu, Hongbin Fang
{"title":"Forward dynamics simulation of a simplified neuromuscular-skeletal-exoskeletal model based on the CMA-ES optimization algorithm: framework and case studies","authors":"Wei Jin, Jiaqi Liu, Qiwei Zhang, Xiaoxu Zhang, Qining Wang, Jian Xu, Hongbin Fang","doi":"10.1007/s11044-024-09982-4","DOIUrl":"https://doi.org/10.1007/s11044-024-09982-4","url":null,"abstract":"<p>The modeling and simulation of coupled neuromusculoskeletal-exoskeletal systems play a crucial role in human biomechanical analysis, as well as in the design and control of exoskeletons. This study incorporates the integration of exoskeleton models into a reflex-based gait model, emphasizing human-exoskeleton interaction. Specifically, we introduce an optimization-based dynamic simulation framework that integrates a neuromusculoskeletal feedback loop, multibody dynamics, human-exoskeleton interaction, and foot-ground contact. The framework advances in human-exoskeleton interaction and muscle reflex model refinement. Without relying on experimental measurements or empirical data, our framework employs a stepwise optimization process to determine muscle reflex parameters, taking into account multidimensional criteria. This allows the framework to generate a full range of kinematic and biomechanical signals, including muscle activations, muscle forces, joint torques, etc., which are typically challenging to measure experimentally. To evaluate the validity of the framework, we compare the simulated results with experimental data obtained from a healthy subject wearing an exoskeleton while walking at different speeds (0.9, 1.0, and 1.1 m/s) and terrains (flat and uphill). The results demonstrate that our framework can capture the qualitative differences in muscle activity associated with different functions, as well as the evolutionary patterns of muscle activity and kinematic signals with respect to varying walking conditions, with the Pearson correlation coefficient R &gt; 0.7. Simulations of the human walking with the exoskeleton in both passive mode and assisting mode at a peak torque of 20 N⋅m are further conducted to investigate the effect of exoskeleton assistance on human biomechanics. The simulation framework we propose has the potential to facilitate gait analysis and performance evaluation of coupled human-exoskeleton systems, as well as enable efficient and cost-effective testing of novel exoskeleton designs and control strategies.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"40 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587212","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}
引用次数: 0
Optimization of design parameters and improvement of human comfort conditions in an upper-limb exosuit for assistance 优化设计参数,改善上肢辅助外衣的人体舒适度
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-04-08 DOI: 10.1007/s11044-024-09977-1
Yaodong Lu, Yannick Aoustin, Vigen Arakelian
{"title":"Optimization of design parameters and improvement of human comfort conditions in an upper-limb exosuit for assistance","authors":"Yaodong Lu, Yannick Aoustin, Vigen Arakelian","doi":"10.1007/s11044-024-09977-1","DOIUrl":"https://doi.org/10.1007/s11044-024-09977-1","url":null,"abstract":"<p>Exoskeleton robots have a wide range of applications in industrial field as well as for patients with locomotor disability. Among them, the flexible exoskeleton, known as “exosuit”, has attracted great interest from researchers. They are usually made up of flexible components such as cables and pieces of fabric. Since there are no rigid frames and links in the exosuits, they are much lighter and have less misalignment problems than the rigid exoskeletons. However, excessive pressure exerted by cables on soft tissues and skeleton of the human will lead to discomfort or even injuries. In this paper, a cable transmission system is incorporated into the exosuit system for gravitational compensation. The human body is assumed to be upright in the cable-driving wearable robot modeling. Then, a multi-criteria optimization approach, based on swarm intelligence, has been developed and adopted for reducing the uncomfortable forces applied on the user. Furthermore, the energy consumption is also taken into account in the design phase. Numerical simulation results demonstrate that the proposed exosuit design results in a reduction of more than 50% and 34% in the forces exerted on human body with loads of 0.5 kg and 5 kg, respectively. The energy loss was also reduced by up to 63% and 21% in these two cases.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"58 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587011","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}
引用次数: 0
Friction modeling from a practical point of view 从实用角度看摩擦建模
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-04-05 DOI: 10.1007/s11044-024-09978-0
Matthias Schuderer, Georg Rill, Thomas Schaeffer, Carsten Schulz
{"title":"Friction modeling from a practical point of view","authors":"Matthias Schuderer, Georg Rill, Thomas Schaeffer, Carsten Schulz","doi":"10.1007/s11044-024-09978-0","DOIUrl":"https://doi.org/10.1007/s11044-024-09978-0","url":null,"abstract":"<p>Regularized static friction models have been used successfully for many years. However, they are unable to maintain static friction in detail. For this reason, dynamic friction models have been developed and published in the literature. However, commercial multibody simulation packages such as Adams, RecurDyn, and Simpack have developed their own specific stick-slip models instead of adopting one of the public domain approaches. This article introduces the fundamentals of these commercial models and their behavior from a practical point of view. The stick-slip models were applied to a simple test model and a more sophisticated model of a festoon cable system using their standard parameters.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"289 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587008","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}
引用次数: 0
A new contact and road model for multi-body dynamic simulation of wheeled vehicles on soft-soil terrain 用于软土地形上轮式车辆多体动态模拟的新型接触和道路模型
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-04-04 DOI: 10.1007/s11044-024-09980-6
Evangelos Koutras, Felipe Moretti Leila, Adrijan Ribaric, Sotirios Natsiavas
{"title":"A new contact and road model for multi-body dynamic simulation of wheeled vehicles on soft-soil terrain","authors":"Evangelos Koutras, Felipe Moretti Leila, Adrijan Ribaric, Sotirios Natsiavas","doi":"10.1007/s11044-024-09980-6","DOIUrl":"https://doi.org/10.1007/s11044-024-09980-6","url":null,"abstract":"<p>In this paper, a new high-performance and memory-efficient contact and road model is developed. Specifically, the road is modeled as a rectangular structured grid of deformable springs in the vertical direction, thus enabling fast execution. The new road model stands out due to its ability to handle large road scenarios by allocating computer memory dynamically for each spring, resulting in efficient memory utilization. Furthermore, each spring represents a small road patch that entails various information, such as the soil elevation, the soil properties, and the soil compaction, allowing for complicated simulations incorporating spatially varying soil properties and phenomena related to the multi-pass effect. In addition, using the new contact model, complex terrain geometries are handled in a computationally efficient way by approximating locally the irregular road profile with a suitable equivalent plane. For this, two different strategies are proposed, namely the radial basis function (RBF) interpolation method and the 3D enveloping contact model. Finally, the proposed techniques are implemented in Altair MotionSolve, a comprehensive multi-body simulation software for complex mechanical systems. In particular, a single-wheel test bed is initially examined followed by a four-wheeled rover model and the next-generation NATO reference mobility model (NG-NRMM). In all cases, the proposed model is validated by using available experimental data. Lastly, a case involving both wheeled and tracked vehicles is also examined by using a shared road model.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"596 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586992","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}
引用次数: 0
An electric kickscooter multibody model: equations of motion and linear stability analysis 电动踏板车多体模型:运动方程和线性稳定性分析
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-03-14 DOI: 10.1007/s11044-024-09974-4
A. G. Agúndez, D. García-Vallejo, E. Freire
{"title":"An electric kickscooter multibody model: equations of motion and linear stability analysis","authors":"A. G. Agúndez, D. García-Vallejo, E. Freire","doi":"10.1007/s11044-024-09974-4","DOIUrl":"https://doi.org/10.1007/s11044-024-09974-4","url":null,"abstract":"<p>In this work, a detailed multibody model of an electric kickscooter is presented. The model includes toroidal wheels as well as rear and front suspensions. The equations of motion are derived and linearized along the steady forward motion of the vehicle. Using an efficient linearization approach, suitable for complex multibody systems with holonomic and nonholonomic constraints, allows for obtaining the reduced linearized equations of motion as a function of the geometric, dynamic, wheels’, and suspensions’ parameters. The proposed electric kickscooter multibody model is validated with the stability results of a previously presented electric kickscooter benchmark. Since the resulting eigenvalues are parameterized regarding the design parameters, a detailed linear stability analysis of the system is performed. In particular, the influence on the stability of the toroidal geometry of the wheels, the elliptic cross-section of the toroidal wheels, the rider model, the steering axis inclination angle, the inertia tensor of the front frame, and the rear and front suspensions is analyzed. The model presented, together with the linearized equations of motion obtained in this work, enables a systematic analysis of the stability of these vehicles, which helps design new electric kickscooters with improved vehicle safety conditions and oriented to a wider range of potential users.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"96 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150043","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}
引用次数: 0
Swift augmented human–robot dynamics modeling for rehabilitation planning analyses 用于康复规划分析的 Swift 增强型人机动力学建模
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-03-14 DOI: 10.1007/s11044-024-09975-3
Vahid Akbari, Omid Mahdizadeh, S. Ali A. Moosavian, Mahdi Nabipour
{"title":"Swift augmented human–robot dynamics modeling for rehabilitation planning analyses","authors":"Vahid Akbari, Omid Mahdizadeh, S. Ali A. Moosavian, Mahdi Nabipour","doi":"10.1007/s11044-024-09975-3","DOIUrl":"https://doi.org/10.1007/s11044-024-09975-3","url":null,"abstract":"<p>With the widespread implementation of robotics exoskeletons in rehabilitation, modeling and dynamics analysis of such highly nonlinear coupled systems has become significantly important. In this paper, a swift numerical human–robot dynamics modeling has been developed to achieve accurate and realistic interpretation. This takes into consideration the separation and impact between multiple bodies for rehabilitation planning. To this end, first, a novel parallel algorithm combined with sequential interaction conditions is proposed based on the numerical recursive Newton–Euler method. The approach begins by deriving separated numerical models for the complicated system: i.e. both the human and the robot. These models are then augmented, with a primary focus on reducing the error of the interaction conditions, including forces and positions. The accuracy of the proposed model, with a computational complexity of O(n), is assessed by comparing to a previously validated nonrecursive analytical model with a higher computational complexity of O(n^4). Additionally, the quality of the connection between the human and the robot is assessed to establish a suitable control objective and an effective interaction strategy for rehabilitation planning. The study employs a lower-limb walking assistive robot developed in the ARAS lab (RoboWalk) to validate the proposed method. The algorithm is empirically implemented on the RoboWalk test stand, ensuring the integrity of the proposed dynamics modeling. The human–robot interaction forces are estimated with an accuracy of 2 N, in the presence of friction and measurement noise. Finally, the effectiveness of the model-based controller is assessed by using the proposed method, providing valuable tools for the enhancement of overall performance of such a complex dynamics system.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"23 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140156911","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}
引用次数: 0
Evaluation and implementation of Lie group integration methods for rigid multibody systems 评估和实施刚性多体系统的李群积分法
IF 3.4 2区 工程技术
Multibody System Dynamics Pub Date : 2024-03-12 DOI: 10.1007/s11044-024-09970-8
Stefan Holzinger, Martin Arnold, Johannes Gerstmayr
{"title":"Evaluation and implementation of Lie group integration methods for rigid multibody systems","authors":"Stefan Holzinger, Martin Arnold, Johannes Gerstmayr","doi":"10.1007/s11044-024-09970-8","DOIUrl":"https://doi.org/10.1007/s11044-024-09970-8","url":null,"abstract":"<p>As commonly known, standard time integration of the kinematic equations of rigid bodies modeled with three rotation parameters is infeasible due to singular points. Common workarounds are reparameterization strategies or Euler parameters. Both approaches typically vary in accuracy depending on the choice of rotation parameters. To efficiently compute different kinds of multibody systems, one aims at simulation results and performance that are independent of the type of rotation parameters. As a clear advantage, Lie group integration methods are rotation parameter independent. However, few studies have addressed whether Lie group integration methods are more accurate and efficient compared to conventional formulations based on Euler parameters or Euler angles. In this paper, we close this gap using the <span>(mathbb{R}^{3}times SO(3))</span> Lie group formulation and several typical rigid multibody systems. It is shown that explicit Lie group integration methods outperform the conventional formulations in terms of accuracy. However, it turns out that the conventional Euler parameter-based formulation is the most accurate one in the case of implicit integration, while the Lie group integration method is computationally the more efficient one. It also turns out that Lie group integration methods can be implemented at almost no extra cost in an existing multibody simulation code if the Lie group method used to describe the configuration of a body is chosen accordingly.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":"47 1","pages":""},"PeriodicalIF":3.4,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140115057","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}
引用次数: 0
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