Dynamics of Flexible Multibody Systems
Rigid Finite Element Method
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Beschreibung
A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically generated for systems consisting of alternate rigid and flexible links. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model. This novel modelling approach is then applied to systems such as offshore-cranes and telescopic rapiers.
A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically generated for systems consisting of alternate rigid and flexible links. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model. This novel modelling approach is then applied to systems such as offshore-cranes and telescopic rapiers.
New approach modelling multi-body systems with flexible and rigid bodies using finite elements Comprehensive guide for the formulation of such models Valuable for teaching because it illustrates mechanical features of the mathematical modelling Includes supplementary material: sn.pub/extras
Autor*in
Edmund Wittbrodt
Themen in »Dynamics of Flexible Multibody Systems«
Discretization Finite Elements Flexible Links Homogeneous Transformation Joint Coordinates Lagrange's Equations Spring-Damping Elements Transformation model modeling verification
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From the reviews:
"The book by Edmund Wittbrodt and coworkers introduces an alternative approach to flexible multibody dynamics. … Overall, the book is a comprehensive and systematic presentation of the rigid finite element method. The presented method is straightforward and particularly attractive for multibody applications where flexible bodies need to be taken into account … . It can be recommended for graduate students as well as for engineers working in the field." (Bernd Simeon, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 87 (5), 2007)
"This is a monograph on the foundations of engineering mechanics. … The book is well written and should be of interest and use to students and practitioners in this ever broadening field of computational mechanics." (Ronald L. Huston, Zentralblatt MATH, Vol. 1101 (3), 2007)
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