A hybrid finite element formulation for flexible multibody dynamics

Singh, Raghvendra P and Jog, Chandrashekhar (2016) A hybrid finite element formulation for flexible multibody dynamics. In: PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS, 230 (1). pp. 3-28.

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Abstract

This work deals with the transient analysis of flexible multibody systems within a hybrid finite element framework. Hybrid finite elements are based on a two-field variational formulation in which the displacements and stresses are interpolated separately yielding very good coarse mesh accuracy. Most of the literature on flexible multibody systems uses beam-theory-based formulations. In contrast, the use of hybrid finite elements uses continuum-based elements, thus avoiding the problems associated with rotational degrees of freedom. In particular, any given three-dimensional constitutive relations can be directly used within the framework of this formulation. Since the coarse mesh accuracy as compared to a conventional displacement-based formulation is very high, the scheme is cost effective as well. A general formulation is developed for the constrained motion of a given point on a line manifold, using a total Lagrangian method. The multipoint constraint equations are implemented using Lagrange multipliers. Various kinds of joints such as cylindrical, prismatic, and screw joints are implemented within this general framework. Hinge joints such as spherical, universal, and revolute joints are obtained simply by using shared nodes between the bodies. In addition to joints, the formulation and implementation details for a DC motor actuator and for prescribed relative rotation are also presented. Several example problems illustrate the efficacy of the developed formulation.

Item Type:	Journal Article
Publication:	PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS
Publisher:	SAGE PUBLICATIONS LTD
Additional Information:	Copy right for this article belongs to the SAGE PUBLICATIONS LTD, 1 OLIVERS YARD, 55 CITY ROAD, LONDON EC1Y 1SP, ENGLAND
Keywords:	Flexible multibody dynamics; geometrically nonlinear hybrid finite element method; total Lagrangian; sliding joints; Lagrange multiplier method; DC motors; specified relative rotation
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	07 Apr 2016 07:20
Last Modified:	07 Apr 2016 07:20
URI:	http://eprints.iisc.ac.in/id/eprint/53622

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