A continuous force model for the impact analysis of flexible multibody systems
A new continuous impact model applicable to multibody systems consisting of interconnected rigid and flexible bodies is presented. The continuous impulsive force that acts during the short-lived interval of impact is written in terms of the relative displacement and velocity of the impacting bodies....
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Published in | Mechanism and machine theory Vol. 22; no. 3; pp. 213 - 224 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Oxford
Elsevier Ltd
1987
New York, NY Elsevier |
Subjects | |
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Abstract | A new continuous impact model applicable to multibody systems consisting of interconnected rigid and flexible bodies is presented. The continuous impulsive force that acts during the short-lived interval of impact is written in terms of the relative displacement and velocity of the impacting bodies. In the method developed in this paper, the material compliance and damping coefficients are determined from energy balance relations. In order to account for the kinematic constraints between the two impacting bodies and other bodies in the system, an effective mass compensation is proposed. Flexible bodies in the system are discretized using the finite element methods. The generalized impulsive forces associated with the system generalized coordinates are then derived using the virtual work and are written in terms of a coupled set of reference and modal elastic coordinates. Numerical examples are presented in order to demonstrate the feasibility of the mathematical model developed in this paper.
On présente un nouveau modèle pour l'étude des chocs dans des systèmes de corps élastiques et rigides. La force impulsive qui est appliquée durant le court intervalle de la collision est exprimée en fonction de la distance relative et des vitesses des corps en collision. La méthode présentée emploie l'équation de l'énergie pour évaluer les coefficients d'amortissement. Pour tenir compte des contraintes cinématiques entre les corps en collision on utilise une masse effective de compensation. Les corps flexibles sont discrétisés par éléments finis. Les forces impulsives associées aux coordonnées généralisées sont dérivées à partir du travail variationnel et sont écrites en fonction des coordonnées modales et de référence. Des exemples numériques dela méthode développée démontrent l'efficacité de la méthode proposée. |
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AbstractList | A new continuous impact model applicable to multibody systems consisting of interconnected rigid and flexible bodies is presented. The continuous impulsive force that acts during the short-lived interval of impact is written in terms of the relative displacement and velocity of the impacting bodies. In the method developed in this paper, the material compliance and damping coefficients are determined from energy balance relations. In order to account for the kinematic constraints between the two impacting bodies and other bodies in the system, an effective mass compensation is proposed. Flexible bodies in the system are discretized using the finite element methods. The generalized impulsive forces associated with the system generalized coordinates are then derived using the virtual work and are written in terms of a coupled set of reference and modal elastic coordinates. Numerical examples are presented in order to demonstrate the feasibility of the mathematical model developed in this paper.
On présente un nouveau modèle pour l'étude des chocs dans des systèmes de corps élastiques et rigides. La force impulsive qui est appliquée durant le court intervalle de la collision est exprimée en fonction de la distance relative et des vitesses des corps en collision. La méthode présentée emploie l'équation de l'énergie pour évaluer les coefficients d'amortissement. Pour tenir compte des contraintes cinématiques entre les corps en collision on utilise une masse effective de compensation. Les corps flexibles sont discrétisés par éléments finis. Les forces impulsives associées aux coordonnées généralisées sont dérivées à partir du travail variationnel et sont écrites en fonction des coordonnées modales et de référence. Des exemples numériques dela méthode développée démontrent l'efficacité de la méthode proposée. |
Author | Khulief, Y.A Shabana, A.A |
Author_xml | – sequence: 1 givenname: Y.A surname: Khulief fullname: Khulief, Y.A organization: Department of Mechanical Engineering, University of Alabama at Birmingham, Birmingham, AL 35294, U.S.A – sequence: 2 givenname: A.A surname: Shabana fullname: Shabana, A.A organization: Department of Mechanical Engineering, University of Illinois at Chicago, P.O. Box 4348, Chicago, IL 60680, U.S.A |
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DocumentTitleAlternate | Un modele de force continue pour l'analyse du choc dans un systeme de corps rigides et flexibles |
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Keywords | N body system Mathematical model Flexible structure Mechanical system Mechanical shock |
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Design doi: 10.1115/1.3267392 contributor: fullname: Lee – year: 1985 ident: 10.1016/0094-114X(87)90004-8_BIB11 article-title: Dynamic analysis of multibody systems with intermittent motion contributor: fullname: Khulief – start-page: 305 year: 1971 ident: 10.1016/0094-114X(87)90004-8_BIB1 article-title: Dynamic analysis of mechanical systems with clearances publication-title: J. Engng Ind. doi: 10.1115/1.3427895 contributor: fullname: Dubowsky – volume: 105 start-page: 526 year: 1983 ident: 10.1016/0094-114X(87)90004-8_BIB17 article-title: An experimental and analytical study of the dynamic response of a linkage fabricated from a unidirectional fiber-reinforced composite laminate publication-title: Trans. ASME J. Mech. Transmiss. Automat. Design doi: 10.1115/1.3267391 contributor: fullname: Thompson |
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Snippet | A new continuous impact model applicable to multibody systems consisting of interconnected rigid and flexible bodies is presented. The continuous impulsive... |
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SubjectTerms | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics |
Title | A continuous force model for the impact analysis of flexible multibody systems |
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