TY - CHAP A1 - Rill, Georg A1 - Arrieta Castro, Abel ED - Kecskeméthy, Andrés ED - Geu Flores, Francisco ED - Carrera, Eliodoro ED - Elias, Dante A. T1 - The Influence of Axle Kinematics on Vehicle Dynamics T2 - Interdisciplinary Applications of Kinematics. Proceedings of the Third International Conference (IAK) N2 - The automotive industry employs many different kinds of axle suspension systems at modern passenger cars. Important criteria are costs, space requirements, kinematic properties, and compliance attributes. This paper illustrates that in particular the kinematic properties of a suspension system have a significant influence on the dynamics of vehicles. As a consequence, the kinematics of a suspension system must be modeled very precisely and nonlinear. Typical kinematical features of a suspension system are discussed by analyzing the most common double wishbone axle suspension system. The influence of the axle kinematics on vehicle dynamics is finally demonstrated by simulation results generated with a fully nonlinear and three-dimensional multibody vehicle model. KW - Double wishbone suspension system KW - Multibody system KW - Suspension kinematics KW - vehicle dynamics Y1 - 2019 SN - 978-3-030-16422-5 U6 - https://doi.org/10.1007/978-3-030-16423-2_2 VL - 71 SP - 23 EP - 31 PB - Springer International Publishing CY - Cham ER - TY - CHAP A1 - Rill, Georg ED - Lugner, Peter T1 - Multibody Systems and Simulation Techniques T2 - Vehicle Dynamics of Modern Passenger Cars N2 - This part begins with an introduction to Multibody Systems (MBS). It presents the elements of MBS and discusses different modeling aspects. Then, different methods to generate the equations of motion are presented. Solvers for ordinary differential equations (ODE) as well as differential algebraic equations (DAE) are discussed. Finally, techniques for “online” and “offline” simulations including real-time applications are presented like necessary for car development. Special examples show the connection between simulation and test results. KW - Differential equations KW - Equations of motion KW - Multibody systems KW - Numerical solution KW - Vehicle models Y1 - 2019 SN - 978-3-319-79007-7 U6 - https://doi.org/10.1007/978-3-319-79008-4_6 SP - 309 EP - 375 PB - Springer International Publishing CY - Cham ER - TY - BOOK A1 - Rill, Georg A1 - Arrieta Castro, Abel T1 - Road Vehicle Dynamics N2 - Road Vehicle Dynamics: Fundamentals and Modeling with MATLAB®, Second Edition combines coverage of vehicle dynamics concepts with MATLAB v9.4 programming routines and results, along with examples and numerous chapter exercises. Improved and updated, the revised text offers new coverage of active safety systems, rear wheel steering, race car suspension systems, airsprings, four-wheel drive, mechatronics, and other topics. Based on the lead author's extensive lectures, classes, and research activities, this unique text provides readers with insights into the computer-based modeling of automobiles and other ground vehicles. Instructor resources, including problem solutions, are available from the publisher. KW - Fahrdynamik Y1 - 2020 SN - 9780429244476 U6 - https://doi.org/10.1201/9780429244476 PB - CRC Press CY - Boca Raton, Fla. ER - TY - JOUR A1 - Rill, Georg T1 - Reducing the cornering resistance by torque vectoring (X International Conference on Structural Dynamics, EURODYN 2017) JF - Procedia Engineering N2 - Usually, torque vectoring is used to reduce a significant understeer behavior at high speed cornering. Thus, providing larger vehicles with a sportive touch. Even on typical front wheel driven cars torque vectoring control is available now. Torque vectoring is nearly a standard on electric driven vehicles. Complex control and optimization strategies are applied to improve the maneuverability in particular or to enhance the driving behavior and reduce the energy consumption in addition. This paper shows, that a quite simple strategy will enhance the maneuverability and simultaneously reduce the cornering resistance in sharp bends. At first, a case study with a fully non-linear and three-dimensional vehicle model is performed. It turned out that a full drive torque shift to the outer wheels improves the maneuverability and reduces the cornering resistance in addition. This results are verified by an optimization performed with a simpler four-wheeled handling model. Here, the front steering angles and the driving torques at each of the four wheels are considered as free parameters. Minimizing the cornering resistance by taking the equations of motion for the four-wheeled handling model as constraints will deliver an optimal set of parameters then. KW - Constrained Optimization KW - Cornering Resistance KW - Four-wheeled Handling Model KW - Three-dimensional Vehicle Model KW - Torque Vectoring Y1 - 2017 U6 - https://doi.org/10.1016/j.proeng.2017.09.393 VL - 199 SP - 3284 EP - 3289 PB - Elsevier ER - TY - CHAP A1 - Arrieta Castro, Abel A1 - Chaves, Rafael B. A1 - Rill, Georg A1 - Weber, Hans I. ED - Fleury, Agenor de T. ED - Rade, Domingos A. ED - Kurka, R. G. T1 - Use of Integrated Control to Enhance the Safety of Vehicles in Run-Off-Road Scenarios T2 - Proceedings of DINAME 2017 : Selected Papers of the XVII International Symposium on Dynamic Problems of Mechanics N2 - In this work, an integrated vehicle control system (IC) is tested in run-off-road scenarios. The integrated approach was employed in order to coordinate vehicle control systems, i.e. the Anti-Lock Brake System (ABS), Four-wheel Steering (4WS) and the Electronic Stability Program (ESP). To perform a run-off-road maneuver, a fuzzy virtual test driver was designed. By receiving the lateral position of an obstacle and the vehicle’s relative yaw angle, the virtual test driver is capable of following a reference trajectory. Furthermore, to test the performance of the standalone controllers, i.e. ABS, ESP and 4WS, individual maneuvers are performed using a multibody vehicle model. The vehicle without any coordination between the control systems is used as reference. For the simulation results, it is concluded that the IC improves the vehicle stability and maneuverability in comparison with the non-integrated approach. Y1 - 2019 SN - 978-3-319-91217-2 SN - 978-3-319-91216-5 U6 - https://doi.org/10.1007/978-3-319-91217-2_30 SN - 2195-4356 SP - 431 EP - 443 PB - Springer CY - Cham ET - 1. Auflage ER - TY - CHAP A1 - Rill, Georg T1 - TMeasy 6.0-A handling tire model that incorporates the first two belt eigenmodes T2 - Proceedings of the XI International Conference on Structural Dynamics (EURODYN 2020): Athens, Greece, 23.11.2020 - 26.11.2020 N2 - TMeasy 6.0, an extension to the standard TMeasy tire model of version 5.3, takes the relevant first two rigid body eigenmodes of the belt into consideration. These modes represent the in plane longitudinal and rotational movements of the belt relative to the rim. The dynamics of the longitudinal force is of higher order then and reproduces the tire wheel vibrations, required for indirect tire-pressure monitoring systems (iTPMS), sufficiently well. A tailored implicit solver, which takes the stiff coupling between the longitudinal force and the belt motions into account, still provides real-time performance in addition. Simulation examples show that a rigid body vehicle model equipped with TMeasy 6.0 makes it possible to investigate second generation indirect tire-pressure monitoring systems. KW - TMeasy Tire Model KW - Tire Force Dynamics KW - Frequency Analysis KW - Real-time Simulation KW - Virtual Test Rig Y1 - 2020 U6 - https://doi.org/10.47964/1120.9054.18673 SP - 676 EP - 689 PB - EASD Procedia ER - TY - CHAP A1 - Rill, Georg T1 - A Three-Dimensional and Nonlinear Virtual Test Car T2 - ENOC 2022, book of abstracts, 10th European Nonlinear Dynamics Conference: July 17-22, 2022, Lyon, France N2 - Virtual testing procedures have become a standard in vehicle dynamics. The increasing complexity of driver assistance sys- tems demand for more and more virtual tests, which are supposed to produce reliable results even in the limit range. As a consequence, simplified vehicle models, like the classical bicycle model or 4-wheel vehicle models, have to be replaced by a fully three-dimensional and nonlinear vehicle model, which also encompasses the details of the suspension systems. This paper presents a passenger car model, where the chassis, the four knuckles, and the four wheels are described by rigid bodies, the suspension system is modeled by the generic design kinematics, and the TMeasy tire model provides the tire forces and torques in all driving situations. Y1 - 2022 UR - https://enoc2020.sciencesconf.org/data/ENOC2022_proceedings.pdf SP - 49 EP - 58 CY - Lyon ER - TY - CHAP A1 - Arrieta Castro, Abel A1 - Rill, Georg ED - Orlova, Anna ED - Cole, David T1 - Kinematic Versus Elasto-Kinematic Model of a Twistbeam Suspension T2 - Advances in Dynamics of Vehicles on Roads and Tracks II, proceedings of the 27th Symposium of the International Association of Vehicle System Dynamics (IAVSD 2021): August 17-19, 2021, Saint Petersburg, Russia N2 - The Twistbeam axle suspension is a cheap and robust layout for rear axles at front wheel driven midsize cars. Appropriate models have to take the elastic deformation of the torsion beam into account. A Finite Element approach requires detailed informations of the material properties and the shape which are usually only available in the final production stage. This paper presents a lumped mass model which can easily be integrated into a multibody vehicle model and can be used in the early stage of development. An approximation by the design kinematics further reduces the complexity of the model and considers only the kinematic properties of the Twistbeam suspension. Simulations using a nonlinear and three-dimensional vehicle model with different maneuvers, such as steady-state cornering, step steer input, and driving straight ahead on random road, demonstrate the performance and, in particular, the difference of the presented Twistbeam suspension models. KW - Design kinematics KW - Twistbeam suspension KW - Multibody model KW - Vehicle dynamics Y1 - 2022 U6 - https://doi.org/10.1007/978-3-031-07305-2_59 SP - 505 EP - 605 PB - Springer Nature ER - TY - CHAP A1 - Rill, Georg ED - Fleury, Agenor de T. T1 - Real-Time capable Multibody Model of dual Truck Front Axles T2 - Proceedings of DINAME 2023 - Selected Papers of the XIX International Symposium on Dynamic Problems of Mechanics, 26 Feb - 03 Mar 2023, Pirenópolis, Brazil N2 - Dual front steering axles are quite common in multi-axled heavy duty trucks. In standard layouts of such axle combinations, the steer motions of the wheels depend not only on the rotation of the steering wheel but also on the movements of the axles. As a consequence, the model complexity of the steering system should match with the complexity of the suspension model. The development of new technologies like advanced driver assistance systems or autonomous driving can only be accomplished efficiently using extensive simulation methods. Such kind of applications demand for computationally efficient vehicle models. This paper presents a steering system model for dual front axles of heavy duty trucks which supplements the suspension model of the axles. The model takes the torsional compliance of the steering column as well as the stiffness of the tie rods and the coupling rod into account. A quasi-static solution provides a straight forward computation including the partial derivatives required for an efficient implicit solver. The steering system model matches perfectly with comparatively lean, but sufficiently accurate multibody suspension models. KW - Steering System KW - Dual Axles KW - Multibody Model KW - Vehicle Dynamics KW - Real-Time Y1 - 2023 UR - https://www.researchgate.net/publication/369256274_Real-Time_capable_Multibody_Model_of_dual_Truck_Front_Axles PB - Springer ER - TY - JOUR A1 - Hirschberg, Wolfgang A1 - Rill, Georg A1 - Weinfurter, H. T1 - Tire model TMeasy JF - Vehicle System Dynamics N2 - This paper describes the semi-physical tire model TMeasy for vehicle dynamics and handling analyses, as it was applied in the ‘low frequency tire models’ section of the research programme tire model performance test (TMPT). Despite more or less weak testing input data, the effort for the application of TMeasy remains limited due to its consequent ‘easy to use’ orientation. One particular feature of TMeasy is the wide physical meaning of its smart parameter set, which allows to sustain the identification process even under uncertain conditions. After a general introduction, the modelling concept of TMeasy is compactly described in this paper. Taking the standard tire interface (STI) to multibody simulation system (MBS) software into account, the way to apply TMeasy is briefly shown. This includes three selected examples of application. The final comments of the authors on TMPT describe the experiences and earnings received during the participation in that programme. Y1 - 2007 U6 - https://doi.org/10.1080/00423110701776284 VL - 45 IS - sup1 SP - 101 EP - 119 PB - Taylor&Francis ER - TY - CHAP A1 - Hackl, Andreas A1 - Hirschberg, Wolfgang A1 - Lex, Cornelia A1 - Rill, Georg ED - Bargende, Michael ED - Reuss, Hans-Christian ED - Wiedemann, Jochen T1 - Experimental validation of the Maxwell model for description of transient tyre forces T2 - 16. Internationales Stuttgarter Symposium, Automobil- und Motorentechnik N2 - Modelling and simulation of safety relevant Driver Assistance Systems (DAS) and Vehicle Dynamics Controllers (VDC) which act in standard and limit situations lead to increasing accuracy demands in the description of dynamic reactions of tyre contact forces, e.g. For that purpose, first-order approaches are widely applied in this field of vehicle dynamics and handling, which originate from Schlippe & Dietrich, were modified by Pacejka and later on refined by Rill. Y1 - 2016 SN - 978-3-658-13254-5 U6 - https://doi.org/10.1007/978-3-658-13255-2_29 SP - 401 EP - 418 PB - Springer CY - Wiesbaden ER - TY - CHAP A1 - Hackl, Andreas A1 - Hirschberg, Wolfgang A1 - Lex, Cornelia A1 - Rill, Georg ED - Spiryagin, Maksym ED - Gordon, Timothy ED - Cole, Colin ED - McSweeney, Tim T1 - Tyre type dependent transient force behaviour by means of a maxwell model T2 - The Dynamics of Vehicles on Roads and Tracks : Proceedings of the 25th Symposium of the International Association of Vehicle System Dynamics (IAVSD 2017), Rockhampton, Queensland, Australia, 14-18 August 2017 N2 - The present papers deals with the usability of an extended Maxwell model to describe the tyre dynamics during transient driving manoeuvres. In the present article, the para-metrisation process of a dynamic tyre model is investigated in a first step, using measurement data of tyre forces from a flat trac tyre test bench, (IABG 2016). Two tyre types of dimensions 255/50 R19 and 175/55 R15 are used. The practical applicability is discussed, considering the measurement procedure and the parameter optimisation process. In a second step, the performance of the dynamic tyre model is validated using measurements of manoeuvres under higher dynamic excitation. As a last step, an outlook is given on further research planned in which the presented model and parametrisation are adapted to a larger frequency range. Y1 - 2018 SN - 1351057170 U6 - https://doi.org/10.1201/9781315265506 SP - 157 EP - 162 PB - CRC Press CY - London ER - TY - RPRT A1 - Rill, Georg T1 - Second-Order Dynamic Friction Model Goes Bi-Dimensional N2 - Dynamic friction models can handle not only slip-stick-slip transitions but also stick as long as the external load does not exceed the friction limit. The recently developed second-order dynamic friction model (FrD2) uses two internal states. It models standard friction characteristics by a smooth analytical function, which includes the Stribeck effect and also a viscous component. A horizontal shift of the regularized friction characteristics provides non-vanishing friction forces required to keep stick. Unlike the well-known LuGre model, the FrD2 model reproduces predefined friction characteristics very accurately and shows no drift under pulsating loads. This paper shows how to extend FrD2 to its bi-dimensional version FrD2bd. KW - Second-Order Dynamic Friction Model KW - Shifted Regularization KW - Bi-Dimensional Friction KW - Planar Oscillator KW - Sliding Pendulum Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-80791 CY - Regensburg ER - TY - RPRT A1 - Rill, Georg T1 - Second-Order Dynamic Friction Model In Three-Dimensional Applications N2 - The second-order dynamic friction model (FrD2) is a reliable alternative to the LuGre model. It can compete with commercial friction models and has been successfully tested in standard one- and two-dimensional friction problems. The FrD2 approach is based on a fictitious bristle with a fictitious mass that automatically adjusts to viscoelastic properties. The FrD2 model approximates standard friction characteristics using a smooth analytical function that incorporates the Stribeck effect and a viscous component. The two-dimensional FrD2 version enables users to specify different bristle and friction properties in each direction. This working paper demonstrates how to apply the FrD2 model to three-dimensional friction problems, such as distributed contacts and ball joints. KW - Second-Order Dynamic Friction Model (FrD2) KW - Three-Dimensional Friction KW - Distributed Friction KW - Ball Joint Friction Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-84288 CY - Regensburg ER - TY - RPRT A1 - Rill, Georg T1 - Second-Order Dynamic Friction Model (FrD2) in a Nutshell N2 - The well-known LuGre friction model generates dynamic friction forces. This force results from the approximation of the dynamics of a massless fictitious bristle. However, it has several drawbacks and fails to reproduce predefined friction characteristics. The second-order dynamic friction model (FrD2) avoids these drawbacks and accurately reproduces friction characteristics. The FrD2 model is based on a fictitious bristle whose mass automatically adapts to visco-elastic bristle properties. The FrD2 model describes friction characteristics using piecewise-defined analytical functions and applies shifted regularization, which allows for smooth handling of stick-slip transitions. FrD2 parameters can easily be derived from LuGre model parameters. KW - Second-Order Dynamic Friction Model KW - Shifted Regularization KW - Fictitious Bristle KW - FrD2 Model Parameter KW - LuGre to FrD2 Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-80770 ER - TY - CHAP A1 - Rill, Georg ED - Apetaur, Milan T1 - Vehicle Dynamics in Real-Time Simulation T2 - The dynamics of vehicles on roads and on tracks N2 - This paper presents some ideas on a new concept, named COMPACT (Computer Simulation of Passenger Cars and Trucks). COMPACT was developed for the mathematical description of vehicles in all driving situations. As COMPACT is completely adopted to the particular problems in road vehicle dynamics, it results in a computer code where execution time is minimized. Thus, even real-time application at the Daimler-Benz driving simulator is possible. Previous Chapter Next Chapter Y1 - 2021 SN - 9781003210894 U6 - https://doi.org/10.1201/9781003210894-40 SP - 337 EP - 347 PB - CRC Press CY - Boca Raton ER - TY - BOOK A1 - Rill, Georg A1 - Schaeffer, Thomas A1 - Borchsenius, Fredrik T1 - Grundlagen und computergerechte Methodik der Mehrkörpersimulation N2 - Dieses Lehrbuch stellt die Methoden der Mehrkörpersimulation anschaulich dar und erläutert an einfachen Beispielen die Vor- und Nachteile bei der praktischen Anwendung. In den Text integrierte Matlab-Skripte und -Funktionen verdeutlichen die einzelnen Methoden. Die Modellbildung, die mathematische Beschreibung und die numerische Simulation von Systemen starrer Körper bilden dabei die Schwerpunkte. Konkrete Beispiele beinhalten einen Bungee-Sprung, die Eigendynamik eines Traktors mit Vorderachsfederung, das Hubschrauberrotorblatt sowie eine Pkw-Vorderachse. Die Lösungen zu den Übungsaufgaben und die im Text integrierten Matlab-Beispiele, die zum Teil durch Animationen angereichert sind, sowie zusätzliche Beispiele und Anwendungen stehen auf der Verlagshomepage beim Buch zum Download zur Verfügung und ermöglichen dadurch auch ein effizientes Selbststudium. Y1 - 2020 SN - 978-3-658-28911-9 U6 - https://doi.org/10.1007/978-3-658-28912-6 PB - Springer Fachmedien CY - Wiesbaden ET - 4. Aufl. ER - TY - BOOK A1 - Rill, Georg A1 - Schaeffer, Thomas T1 - Grundlagen und Methodik der Mehrkörpersimulation N2 - Dieses Lehrbuch stellt die Methoden der Mehrkörpersimulation anschaulich dar und erläutert an einfachen Beispielen die Vor- und Nachteile bei der praktischen Anwendung. In den Text integrierte Matlab-Skripte und -Funktionen verdeutlichen die einzelnen Methoden. Die Modellbildung, die mathematische Beschreibung und die numerische Simulation von Systemen starrer Körper bilden dabei die Schwerpunkte. Konkrete Beispiele beinhalten die Eigendynamik eines Traktors mit Vorderachsfederung, das Hubschrauberrotorblatt sowie eine Pkw- Vorderachse. Die entsprechenden Matlab-Skripte und Lösungen zu den Übungsaufgaben können auf der Springer-Homepage beim Buch heruntergeladen werden. Neu aufgenommen wurden SparseMatrix Operationen sowie ein Beispiel zu einfach geschlossenen kinematischen Schleifen. Y1 - 2017 SN - 978-3-658-16008-1 U6 - https://doi.org/10.1007/978-3-658-16009-8 PB - Springer CY - Wiesbaden ET - 3. Aufl. ER - TY - BOOK A1 - Rill, Georg A1 - Schaeffer, Thomas T1 - Grundlagen und Methodik der Mehrkörpersimulation : Vertieft in Matlab-Beispielen, Übungen und Anwendungen N2 - Dieses Lehrbuch vermittelt nicht nur Grundlagen, sondern stellt auch die Methoden der Mehrkörpersimulation anschaulich dar und erläutert an einfachen Beispielen die Vor- und Nachteile bei der praktischen Anwendung. In den Text integrierte Matlab-Skripte und -Funktionen verdeutlichen die einzelnen Methoden und ermöglichen es, Aufwand und Problematik bei der Umsetzung der Theorie innerhalb von Simulationsprogrammen einzuschätzen. Die Modellbildung, die mathematische Beschreibung und die numerische Simulation von Systemen starrer Körper bilden dabei die Schwerpunkte. Konkret behandelte Beispiele sind die Eigendynamik eines Traktors mit gefederter Vorderachse, das Rotorblatt eines Hubschraubers sowie die Vorderachse eines Pkws. Die entsprechenden Matlab-Skripte und Lösungen zu den Übungsaufgaben können auf der Springer-Homepage beim Buch heruntergeladen werden. Der Inhalt Dynamik des starren Körpers - Bewegungsgleichungen - Starre Körper mit elastischen und kinematischen Verbindungselementen - Integrationsverfahren - Rekursiver Algorithmus - Differential-Algebraische Gleichungen - Analyse von Mehrkörpersystemen - Anwendungs- und Übungsbeispiele aus der Technik Die Zielgruppen Studenten des Maschinenbaus, der Elektrotechnik und Mechatronik sowie der Biomechanik an Hochschulen und Universitäten Ingenieure in der Praxis, die sich mit Fragestellungen der Mehrkörpersimulation (MKS) befassen Entwickler aus der Kfz-Technik sowie Fachleute aus F+E Die Autoren Dr.-Ing. Georg Rill ist Professor mit den Lehrgebieten Technische Mechanik, Ingenieurinformatik, Fahrdynamik, Mehrkörperdynamik sowie Laborleiter Fahrdynamik. Dr.-Ing. Thomas Schaeffer ist Professor mit den Lehrgebieten Konstruktion, CAD, Maschinenelemente und Getriebetechnik, Mehrkörpersysteme und Bewegungstechnik sowie Laborleiter Mehrkörpersimulation, beide an der Ostbayerischen Technischen Hochschule (OTH) Regensburg. Y1 - 2014 U6 - https://doi.org/10.1007/978-3-658-06084-8 PB - Springer CY - Berlin ER - TY - JOUR A1 - Schuderer, Matthias A1 - Rill, Georg A1 - Schaeffer, Thomas A1 - Schulz, Carsten T1 - Friction modeling from a practical point of view JF - Multibody System Dynamics N2 - AbstractRegularized 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. KW - Multibody dynamics KW - Friction KW - Stick-slip effect KW - Adams KW - RecurDyn KW - Simpack Y1 - 2024 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-72513 SN - 1384-5640 N1 - Corresponding author: Matthias Schuderer PB - Springernature ER - TY - GEN A1 - Schuderer, Matthias A1 - Rill, Georg A1 - Schulz, Carsten A1 - Schaeffer, Thomas T1 - Influence of fictitious bristle parameters in dynamic friction models T2 - Global Annual Meet on Mechanical and Aerospace Engineering (GAMMAE2025), March 10-12, 2025, Rome, Italy N2 - In this study, the influence of bristle parameters in dynamic friction models is investigated, in particular in the LuGre and FrD2 models. These models contain internal states to better capture the friction behavior. The FrD2 model, a second-order dynamic friction model, aims at higher accuracy. The investigation focuses on how the independent variation of the bristle stiffness and the damping parameters affects the model behavior, especially considering the practical approximations used in determining the damping coefficient. Y1 - 2025 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:898-opus4-80348 ER - TY - BOOK A1 - Rill, Georg A1 - Schaeffer, Thomas A1 - Borchsenius, Fredrik T1 - Grundlagen und computergerechte Methodik der Mehrkörpersimulation BT - Vertieft in Matlab-Beispielen, Übungen und Anwendungen N2 - Dieses Lehr- und Übungsbuch vermittelt auf anschauliche Weise die Methoden der Mehrkörpersimulation und verdeutlicht deren Vor- und Nachteile bei der praktischen Anwendung anhand konkreter Beispiele. Die einzelnen Methoden werden durch Matlab-Skripte und -Funktionen verdeutlicht, wobei die Modellbildung, die mathematische Beschreibung und die numerische Simulation von Systemen starrer Körper die Schwerpunkte bilden. Die vorliegende Auflage wurde unter anderem um Matlab-Live-Skripte erweitert, welche kleine Animationen zur Veranschaulichung der Dynamik der Probleme enthalten. Die Lösungen zu den Übungsbeispielen und die integrierten Matlab-Skripte sowie weitere Beispiele und Anwendungen stehen über QR-Codes zum Download zur Verfügung und ermöglichen dadurch auch ein effizientes Selbststudium. KW - ADAMS-Modell KW - McPherson-Achse KW - Euler-Parameter KW - Bushings KW - Kontaktelement KW - Kinematische Bindung KW - Räumliches Doppelpendel KW - Analyse MKS KW - Lumped Mass Modelle KW - SIMPACK-Modell KW - Sparse Matrix KW - Mehrkörpersystem KW - MATLAB KW - Dynamik KW - Simulation Y1 - 2023 U6 - https://doi.org/10.1007/978-3-658-41968-4 PB - Springer Nature ER - TY - CHAP A1 - Rill, Georg A1 - Schaeffer, Thomas A1 - Borchsenius, Fredrik T1 - Analyse von Mehrkörpersystemen T2 - Grundlagen und computergerechte Methodik der Mehrkörpersimulation N2 - Nach dem Aufbau eines Mehrkörper-Simulationsmodells muss dieses auf Richtigkeit, Funktionalität und Wirtschaftlichkeit getestet werden. Die Ermittlung der Gleichgewichtslage stellt dabei eine erste Plausibilitäts-Kontrolle dar. Eine Linearisierung mit anschließender Analyse der Eigendynamik liefert Aussagen über die Frequenzen und das Dämpfungsverhalten des Modells. Einfache Erregersignale ermöglichen einen ersten Einblick in das nichtlineare dynamische Verhalten des Modells. Modell-Parameter, die nicht genau bekannt sind, können durch gezielte Variationen plausibel geschätzt oder über eine Optimierung sogar mit optimalen Werten belegt werden. Nach all diesen Tests steht das Mehrkörper- Simulationsmodell dann für praktischeUntersuchungen zurVerfügung, die neben reinen Zeitsimulationen auch Methoden der Inversen Kinematik und der Inversen Dynamik mit einschließen. KW - Gleichgewicht KW - Linearisierung KW - Eigendynamik KW - Fremderregung KW - Optimierung KW - Inverse Kinematik KW - Inverse Dynamik Y1 - 2023 U6 - https://doi.org/10.1007/978-3-658-41968-4_5 SP - 198 PB - Springer ER -