...Andreas Müller A classical approach to the multibody systems (MBS) modeling is to use absolute coordinates, i.e., a set of (possibly redundant) coordinates that describe the absolute position and orientation of the individual bodies with respect to an inertial frame (IFR). A well-known problem...

... and multibody system (MBS) applications. These spatial elements are based on geometry derived from the kinematic description of the absolute nodal coordinate formulation (ANCF). In order to allow for an accurate reference-configuration geometry description, the element shape functions are formulated using...

... not be simulated using the nonconformal contact conditions. conformal contact multibody systems elastic contact formulation railroad vehicles simulation wheel climb The online prediction of the contact points using general multibody systems algorithms requires the solution of a set of nonlinear...

... at acceleration level are represented in Eq. (5) , some stabilization techniques must be adopted to account for constraints given by Eqs. (1) and (2) . The Baumgarte method [ 12 ] is a widely used, but not the only one, technique for constraints' stabilization. It consists in modifying the multibody system...

... that the passage of the front pantograph excites the catenary, leading to the deterioration of the contact conditions on the rear one. 31 10 2011 04 02 2012 21 06 2012 21 06 2012 railway dynamics multibody systems pantograph-catenary interaction contact forces In the great...

...-Flexible Multibody Systems Using Absolute Coordinates ,” Nonlinear Dyn. , 34 , pp. 75 – 94 . 10.1023/B:NODY.0000014553.98731.8d 9 Garcia-Vallejo , D. , Mayo , J. , and Escalona , J. L. , 2008 , “ Three-Dimensional Formulation of Rigid-Flexible Multibody Systems with Flexible Beam...

... understanding of the causes of accidents and derailments. longitudinal train forces coupler geometric nonlinearities noninertial coordinates railroad vehicle dynamics multibody systems couplings differential algebraic equations kinematics Newton-Raphson method railways vehicle dynamics...

...Andreas Müller Redundant constraints in multibody system (MBS) models, reflected by a singular constraint Jacobian, impair the efficient dynamics simulation. In particular, kinematic loop constraints are often found to be permanently redundant. This problem is commonly attacked numerically...

... on the stability of the integration scheme. Simple C ° shape functions are used in the spatial discretization of the state variables owing to the weak form of the model. Numerical solution of the transient behavior of multibody systems, representative of various rotor blade system configurations, is presented...

... available computer power, the analysis of flexible multibody systems relies on increasingly complex, large scale models. Full finite element analysis codes are now routinely used for this purpose ( 6 7 8 ) and, more often than not, multibody models are coupled to other codes to capture multi-physics...

...Ahmed A. Shabana; Olivier A. Bauchau; Gregory M. Hulbert This paper presents an overview of research and development efforts that are currently being devoted to integrate large deformation finite element formulations with flexible multibody system algorithms. The goal is to develop computer...

... the robustness of its predictions when applied to comprehensive models of complex multibody systems. Numerical and experimental applications are presented to demonstrate the efficiency of the proposed procedure. Bolotin , V. V. , 1963 , Nonconservative Problems of the Theory of Elastic Stability...