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Multi-Body Kinematics and Dynamics with Lie Groups
2018The book explores the use of Lie groups in the kinematics and dynamics of rigid body systems. The first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean displacement groups. Chapters 2 and 3 show the specific algebraic properties of the displacement group, explaining why dual numbers play a role in ...
Lerbet, Jean, Chevallier, Dominique
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Multi-body dynamic modelling of commercial vehicles
Computing & Control Engineering Journal, 2002The creation and development of multi-body dynamic analysis models for commercial vehicles are described. A TCS programme was the ideal solution for carrying out this work, enabling the TCS Associate to draw on the company's wealth of experience in practical testing and vehicle dynamic behaviour and the theoretical knowledge of the University's ...
B. Hale-Heighway +3 more
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The Structure of Multi-Body Dynamics Equations.
1977Abstract : Several alternative formulations for the dynamics of multi-body systems are described. These alternatives include momentum and velocity formulations with decoupling or coupling of constraints. The presentation of equations is facilitated by the introduction of a path matrix and a reference matrix which describe the topology of the n-body ...
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Geometry, Kinematics and Dynamics of Multi-body Systems
2014The search for a mathematical model to accurately represent the physical behavior of a generic mechanical systems is the most important step in the development of simulation, identification and control.
Giacomo Marani, Junku Yuh
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A Biomechanical Evaluation of Whiplash Using a Multi-Body Dynamic Model
Journal of Biomechanical Engineering, 2003This paper presents a biomechanical evaluation of whiplash injury potential during the initial extension motion of the head in a rear-end collision. A four-segment dynamic model is developed in the sagittal plane for the analysis. The model response is validated using the existing experimental data and is shown to simulate the “S-shape” kinematics of ...
Tanya, Garcia, Bahram, Ravani
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Bifurcation and Chaos of Multi-body Dynamical Systems
2011Triple physical pendulum in a form of three connected rods with the first link subjected to an action of constant torque and with a horizontal barrier is used as an example of plane mechanical system with rigid limiters of motion. Special transition rules for solutions of linearized equations at impact instances (Aizerman-Gantmakher theory) are used in
Jan Awrejcewicz, G. Kudra
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Multi-body dynamics of a swimming frog: A co-simulation approach
2013 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2013A significant challenging task is to quantify the locomotor forces experienced by swimming animal because direct measurement of forces applied to the aquatic medium are not so feasible. It is advantageous to study the mechanics of animal locomotion for both engineers and biologists. An engineer can analyze motion and use in robotics field that approach
Jyotsna Pandey +3 more
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A Moving Frame Method for Multi-Body Dynamics
Volume 4A: Dynamics, Vibration and Control, 2013Élie Cartan’s moving frame method, developed in differential geometry, has been applied to multi-body dynamics to derive equations of motion. The explicit representation of a body-attached orthonormal coordinate basis and its origin, referred to as a moving frame, enables the usage of the special orthogonal group, SO(3), and the special Euclidean group,
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System theory aspects of multi-body dynamics
1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, 1978The spacecraft attitude dynamics and control problem is introduced as a broad class of nonlinear systems. Some of the basic properties of these systems are described from a system theory point of view. Various system theory concepts and research topics which have applicability to this class of systems are identified and briefly described.
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A Numerical Dynamic Analysis of a Multi-Body Bus
2021Lopes, Rogério +4 more
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