Multibody Dynamics with Unilateral Contacts

2000
ISBN: 978-3-211-83330-8
Verlag: Springer Vienna

Buch, Englisch, Band 421, 262 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 462 g

Reihe: CISM International Centre for Mechanical Sciences

The volume introduces basic concepts necessary for a modern treatment of inequality problems in finite degree of freedom dynamics. Tools from convex analysis, by now well established in non-smooth mechanics, are used to formulate the constitutive equations and impact laws. The lectures cover a broad area of non-smooth dynamics from primal and dual energy functions in variational and differential form to application problems as chimney dampers or vibration conveyors. This includes frictional oscillations with bifurcation scenarios as well as analogies to small displacement quasi-static problems. The course is on an advanced level, designed primarily for postgraduate students, but should also be of value for scientists working on dynamic complementarity problems.

Zielgruppe

Research

Autoren/Hrsg.

Glocker, Christoph

Pfeiffer, Friedrich

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik

Inhaltsverzeichnis

Unilateral Contact – Problem Formulation (A. Curnier).- Scalar Force Potentials in Rigid Multibody Systems (Ch. Glocker).- Contact, Friction and Discrete Mechanical Structures: Analogies and Dynamic Problems (A. Klarbring).- Non-smooth Dynamical Systems (T. Küpper).- Unilateral Problems of Dynamics (F. Pfeiffer).