Nonsmooth dynamics approach to model collisions in multibody systems: The linear complementarity problem formulation

 
9783847372400: Nonsmooth dynamics approach to model collisions in multibody systems: The linear complementarity problem formulation

The main objective of this work is to present general methodologies for contact-impact analysis under the framework of nonsmooth dynamics approach, contributing towards the multibody systems formulations. This desideratum is achieved by employing a solid mathematical and computational program on this field of investigation, that is, the formulations associated with non-smooth dynamics approach, the Lagrangian dynamic systems and the impact laws are taken into account. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini’s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb’s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau’s time-stepping method.

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Paulo Flores is mechanical engineer with research experience in the following areas: mechanical systems analysis and design, biomechanics and multibody dynamics. He is currently Assistant Professor at the Department of Mechanical Engineering, University of Minho. In 2005, Paulo Flores holds PhD in Mechanical Engineering from University of Minho.

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Book Description Book Condition: New. Publisher/Verlag: LAP Lambert Academic Publishing | The linear complementarity problem formulation | The main objective of this work is to present general methodologies for contact-impact analysis under the framework of nonsmooth dynamics approach, contributing towards the multibody systems formulations. This desideratum is achieved by employing a solid mathematical and computational program on this field of investigation, that is, the formulations associated with non-smooth dynamics approach, the Lagrangian dynamic systems and the impact laws are taken into account. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau s time-stepping method. | Format: Paperback | Language/Sprache: english | 176 gr | 220x150x6 mm | 120 pp. Bookseller Inventory # K9783847372400

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Book Description LAP Lambert Academic Publishing Jan 2012, 2012. Taschenbuch. Book Condition: Neu. Neuware - The main objective of this work is to present general methodologies for contact-impact analysis under the framework of nonsmooth dynamics approach, contributing towards the multibody systems formulations. This desideratum is achieved by employing a solid mathematical and computational program on this field of investigation, that is, the formulations associated with non-smooth dynamics approach, the Lagrangian dynamic systems and the impact laws are taken into account. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau s time-stepping method. 120 pp. Englisch. Bookseller Inventory # 9783847372400

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Book Description LAP Lambert Academic Publishing Jan 2012, 2012. Taschenbuch. Book Condition: Neu. Neuware - The main objective of this work is to present general methodologies for contact-impact analysis under the framework of nonsmooth dynamics approach, contributing towards the multibody systems formulations. This desideratum is achieved by employing a solid mathematical and computational program on this field of investigation, that is, the formulations associated with non-smooth dynamics approach, the Lagrangian dynamic systems and the impact laws are taken into account. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau s time-stepping method. 120 pp. Englisch. Bookseller Inventory # 9783847372400

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Book Description LAP Lambert Academic Publishing. Paperback. Book Condition: New. 120 pages. Dimensions: 8.7in. x 5.9in. x 0.3in.The main objective of this work is to present general methodologies for contact-impact analysis under the framework of nonsmooth dynamics approach, contributing towards the multibody systems formulations. This desideratum is achieved by employing a solid mathematical and computational program on this field of investigation, that is, the formulations associated with non-smooth dynamics approach, the Lagrangian dynamic systems and the impact laws are taken into account. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorinis condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulombs law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreaus time-stepping method. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783847372400

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