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Motion formalism in flexible multibody dynamics

2017
A multibody system is characterized by two distinguishing features: system components undergo finite relative rotations and these components are connected by mechanical joints that impose restrictions on their relative motion. Being able to accurately simulate flexible multibody systems is crutial for predicting dynamic properties of a system.
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Decoupling Methods in Flexible Multibody Dynamics

13th Computers in Engineering Conference, 1993
Abstract The inertia projection schemes used in the existing recursive methods for the dynamic analysis of flexible multibody systems lead to dense coefficient matrices in the acceleration equations. Consequently, there is a strong dynamic coupling between the joint and modal coordinates.
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Dynamic Simulation of Multibody Flexible Servomechanisms

1993
The generic term multibody systems encompasses a broad set of mechanical systems, ranging from robots, cranes, chains, cables, panels, antennae to human body models and other biosystems. The different kinds of multibody systems that can be distinguished are systems made of connected or separated bodies, systems made of rigid or flexible bodies and ...
Gérard Gallay, Jean-Luc Faillot
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Flexible Multibody Dynamics in Crash Analysis

2001
The design requirements of advanced mechanical and structural systems exploit the ease of use of the powerful computational resources available today to create virtual prototyping environments. These advanced simulation facilities play a fundamental role in the study of systems that undergo large rigid body motion while their components experience ...
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Flexible multibody dynamics approach for tire dynamics simulation

2018
<p>The objective of this study is to develop a high-fidelity physics-based flexible tire model that can be fully integrated into multibody dynamics computer algorithms for use in on-road and off-road vehicle dynamics simulation without ad-hoc co-simulation techniques.
Hiroki Yamashita   +5 more
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Dynamic analysis of flexible multibody systems

2004
The paper presents numerical solutions for constrained flexible multibody systems. The equation of motion for holonomic constrained flexible system undergoing large displacments and rotations but small elastic strains, using description in terms of finite element coordinates, is derived.
Sedlar, Damir   +2 more
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Linearized Flexible Multibody Dynamics Including Geometric Stiffening Effects∗

Mechanics of Structures and Machines, 1991
Abstract In multibody system simulation for vehicle dynamics applications, it is often sufficient to consider a set of system equations in which the kinematics are linearized. On the other hand, care must be taken to model the flexibility of the system bodies correctly and to be able to introduce the highly nonlinear force laws appearing in multibody ...
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Flexible Multibody Dynamics Formulation by Hamilton’s Equations

Volume 8: Dynamic Systems and Control, Parts A and B, 2010
Numerical solution of the dynamics equations of a flexible multibody system as represented by Hamilton’s canonical equations requires that its generalized velocities q˙ be solved from the generalized momenta p. The relation between them is p = J(q)q˙, where J is the system mass matrix and q is the generalized coordinates.
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Mechanical integrators for nonlinear flexible multibody dynamics

2008
The modeling of flexible multibody systems in nonlinear structural dynamics as finite dimensional Hamiltonian system subject to holonomic constraints constitutes a general framework for a unified treatment of rigid and elastic components. Internal constraints, which are associated with the kinematic assumptions of the underlying continuous theory, as ...
S. Leyendecker, P. Betsch, P. Steinmann
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