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Dynamics of general flexible multibody systems

International Journal for Numerical Methods in Engineering, 1990
AbstractA general treatment is presented for modelling the dynamics of a flexible multibody system, using a lumped mass finite element approach. The system topology considered here is defined as an arbitrary combination of both rigid and flexible bodies, connected together by joints that permit translation and compliance, in a general tree ...
Han, Ray P. S., Zhao, Zhi Cheng
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Flexible Multibody Dynamics

2011
Part I: Basic tools and concepts: 1. Vectors and tensors.- 2. Coordinate Systems.- 3. Basic Principles.- 4. The Geometric Description of Rotation.- Part II: Rigid Body Dynamics: 5. Kinematics of Rigid Bodies.- 6. Kinetics of Rigid Bodies.- Part III: Concepts of Analytical Dynamics: 7. Basic Concepts of Analytical Dynamics.- 8.
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Experimental Validation of Flexible Multibody Dynamics Beam Formulations

Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2013
In this paper, the accuracy of the geometrically exact beam formulation and absolute nodal coordinate formulation are studied by comparing their predictions against experimental data referred to as the “Princeton beam experiment.” The experiment deals with a cantilevered beam experiencing coupled flap, lag, and twist deformations. In the absolute nodal
Bauchau, Oliver   +4 more
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Flexible Multibody Dynamics

2013
Flexible multibody systems contain both rigid and elastic components and aim at applications such as lightweight and high-precision mechanical systems where the elasticity of certain bodies needs to be taken into account. Since elastic bodies are governed by PDEs, as described in the previous chapter, and rigid bodies by ODEs or DAEs, the mathematical ...
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Projection methods in flexible multibody dynamics. Part I: Kinematics

International Journal for Numerical Methods in Engineering, 1992
AbstractIn this paper a recursive projection method for the dynamic analysis of open‐loop mechanical systems that consist of a set of interconnected deformable bodies is presented. The configuration of each body in the system is identified using a coupled set of reference and elastic co‐ordinates.
Shabana, A. A.   +2 more
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Multibody Dynamics Incorporating Deployment of Flexible Structures

Journal of Vibration and Acoustics, 1996
The equations of motion for a flexible structure during deployment from and retraction into a base that is part of an open-loop multi-body chain are derived. The eigenfunctions of a fixed-free beam are used as the shape functions and their properties are exploited to express various domain integral terms as explicit functions of the instantaneous ...
S. S. K. Tadikonda   +2 more
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Flexibility effects in multibody system dynamics

Mechanics Research Communications, 1980
During the past f ive years there has been an increasing interest in the development of computer oriented methods for studying the dynamics of multibody systems. A "multibody system" as discussed herein, is defined as an "open-tree" or "open-chain" of connected r igid bodies such that adjacent bodies share at least one common point and such that no ...
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Flexible multibody dynamics formulation using Peridynamic theory

Health Monitoring of Structural and Biological Systems XII, 2018
In the nonlocal theory of peridynamic the partial derivatives that appear in the classical (local) continuum mechanics are replaced with integral equations. This is an important feature of peridynamic theory allowing it to be easily applied to problems where partial derivatives of the displacement field may not exist (e.g.
Hadi Hafezi, Omid Kazemi
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Forward Dynamics of Flexible Multibody Systems

1994
So far, several approaches to the solution of the kinematics and dynamics of multibody systems have been presented. It has been assumed in these approaches that all the bodies satisfy the rigid body condition. A body is assumed to be rigid if any pair of its material points do not present relative displacements.
Javier García de Jalón, Eduardo Bayo
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Assumed modes method and flexible multibody dynamics

Guidance, Navigation and Control Conference, 1993
The use of assumed modes in flexible multibody dynamics algorithms requires the evaluation of several domain dependent integrals that are affected by the type of modes used. The implications of these integrals - often called zeroth, first and second order terms - are investigated in this paper, for arbitrarily shaped bodies.
S. TADIKONDA, T. MORDFIN, T. HU
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