1. Spatial Formulation Of Elastic Multibody Systems With
Impulsive
Constraints
Khulief, YA
KLUWER ACADEMIC PUBL, MULTIBODY SYSTEM DYNAMICS; pp: ; Vol: 4
King Fahd University of Petroleum & Minerals
Summary
The problem of modeling the transient dynamics of three-dimensional multibody
mechanical systems which encounter impulsive excitations during their functional
usage is addressed. The dynamic behavior is represented by a nonlinear dynamic
model comprising a mixed set of reference and local elastic coordinates. The finite-
element method is employed to represent the local deformations of three-dimensional
beam-like elastic components by either a finite set of nodal coordinates or a truncated
set of modal coordinates. The finite-element formulation will permit beam elements
with variable geometry. The governing equations of motion of the three-dimensional
multibody configurations will be derived using the Lagrangian constrained
formulation. The generalized impulse-momentum-balance method is extended to
accommodate the persistent type of the impulsive constraints. The developed
formulation is implemented into a multibody simulation program that assembles the
equations of motion and proceeds with its solution. Numerical examples are presented
to demonstrate the applicability of the developed method and to display its potential
in gaining more insight into the dynamic behavior of such systems.
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