On the equivalent static load method for flexible multibody systems described with a nonlinear finite element formalism

2016 ◽  
Vol 108 (6) ◽  
pp. 646-664 ◽  
Author(s):  
E. Tromme ◽  
V. Sonneville ◽  
O. Brüls ◽  
P. Duysinx
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Static Load ◽  
Nonlinear Finite Element ◽  
Flexible Multibody Systems ◽  
Equivalent Static Load ◽  
Flexible Multibody

Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems

1999 ◽  
Vol 122 (4) ◽  
pp. 498-507 ◽  
Author(s):  
Marcello Campanelli ◽  
Marcello Berzeri ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Absolute Nodal Coordinate Formulation ◽  
Flexible Multibody Systems ◽  
Large Displacement ◽  
Body Motion ◽  
Absolute Nodal Coordinate ◽  
Flexible Multibody ◽  
The Absolute ◽  
Finite Element Formulations

Many flexible multibody applications are characterized by high inertia forces and motion discontinuities. Because of these characteristics, problems can be encountered when large displacement finite element formulations are used in the simulation of flexible multibody systems. In this investigation, the performance of two different large displacement finite element formulations in the analysis of flexible multibody systems is investigated. These are the incremental corotational procedure proposed in an earlier article (Rankin, C. C., and Brogan, F. A., 1986, ASME J. Pressure Vessel Technol., 108, pp. 165–174) and the non-incremental absolute nodal coordinate formulation recently proposed (Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd ed., Cambridge University Press, Cambridge). It is demonstrated in this investigation that the limitation resulting from the use of the infinitesmal nodal rotations in the incremental corotational procedure can lead to simulation problems even when simple flexible multibody applications are considered. The absolute nodal coordinate formulation, on the other hand, does not employ infinitesimal or finite rotation coordinates and leads to a constant mass matrix. Despite the fact that the absolute nodal coordinate formulation leads to a non-linear expression for the elastic forces, the results presented in this study, surprisingly, demonstrate that such a formulation is efficient in static problems as compared to the incremental corotational procedure. The excellent performance of the absolute nodal coordinate formulation in static and dynamic problems can be attributed to the fact that such a formulation does not employ rotations and leads to exact representation of the rigid body motion of the finite element. [S1050-0472(00)00604-8]

Non-Linear FE Approach for Flexible Multibody Simulation of Mechanism Dynamics

1998 ◽  
Author(s):  
Ole Ivar Sivertsen
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Nonlinear Finite Element ◽  
Component Mode Synthesis ◽  
Simulation Approach ◽  
Multibody Simulation ◽  
Non Linear ◽  
Flexible Multibody ◽  
External Forces

Abstract The simulation approach presented in this paper is based on a nonlinear Finite Element (FE) formulation for modelling of multibody systems (MBS). This formulation is developed to include a comprehensive library of MBS elements as links, joints, springs, dampers and external forces. The links are modelled as FE substructures and reduced to super elements by component mode synthesis (CMS). Super nodes are used for modelling of the mechanism elements referred to above.

Incremental Finite Element Formulations and Flexible Multibody Dynamics

1999 ◽  
Author(s):  
Marcello Berzeri ◽  
Marcello Campanelli ◽  
A. A. Shabana
Keyword(s):  
Finite Element ◽  
Multibody Dynamics ◽  
Multibody Systems ◽  
Absolute Nodal Coordinate Formulation ◽  
Flexible Multibody Dynamics ◽  
Flexible Multibody Systems ◽  
Large Displacement ◽  
Absolute Nodal Coordinate ◽  
Flexible Multibody ◽  
Finite Element Formulations

Abstract In this investigation, the performance of two different large displacement finite element formulations in the analysis of flexible multibody systems is investigated. These are the incremental corotational procedure proposed by Rankin and Brogan [8] and the non-incremental absolute nodal coordinate formulation recently proposed [9]. It is demonstrated in this investigation that the limitation resulting from the use of the nodal rotations in the incremental corotational procedure can lead to simulation problems even when very simple flexible multibody applications are considered.

Sign in / Sign up

Export Citation Format

Share Document