caa a22 4500 469108932 CHVBK 20180323133104.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF00420590 doi (NATIONALLICENCE)springer-10.1007/BF00420590 Basic features of the time finite element approach for dynamics [Elektronische Daten] [Marco Borri, Carlo Bottasso, Paolo Mantegazza] Very general weak forms may be developed for dynamic systems, the most general being analogous to a Hu-Washizu three-field formulation, thus paralleling well-established weak methods of solid mechanics. In this work two different formulations are developed: a pure displacement formulation and a two-field mixed formulation. With the objective of developing a thorough understanding of the peculiar features of finite elements in time, the relevant methodologies associated with this approach for dynamics are extensively discussed. After having laid the theoretical bases, the finite element approximation and the linearization of the resulting forms are developed, together with a method for the treatment of holonomic and nonholonomic constraints, thus widening the horizons of applicability over the vast world of multibody system dynamics. With the purpose of enlightening on the peculiar numerical behavior of the different approaches, simple but meaningful examples are illustrated. To this aim, significant parallels with elastostatics are emphasized. Kluwer Academic Publishers, 1992 Finite elements nationallicence Time integration nationallicence Dynamics nationallicence Borri Marco Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut Bottasso Carlo Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut Mantegazza Paolo Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut Meccanica Kluwer Academic Publishers 27/2(1992-06-01), 119-130 0025-6455 27:2<119 1992 27 11012 https://doi.org/10.1007/BF00420590 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00420590 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Borri Marco Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Bottasso Carlo Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Mantegazza Paolo Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy aut NATIONALLICENCE 773 0- Meccanica Kluwer Academic Publishers 27/2(1992-06-01), 119-130 0025-6455 27:2<119 1992 27 11012 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer