saberelarem's blog
A simple model for the dynamical behavior of a cracked rotor
Submitted by saberelarem on Thu, 2012-01-26 20:00.
The
aim of this paper is to present a simple but comprehensive model for
the dynamical response of cracked rotor. The mechanical system is made
of two rigid bars connected with a nonlinear spring. The two bars
represent the uncracked parts of the rotor, and, the nonlinear spring
represents the cracked section. The breathing mechanism of the crack is
taken into account by considering special periodic variation of the
global stiffness of the system. The differential equations system is
soled using the harmonic balance method. Some possibilities for early
crack detection are established.
Nonlinear dynamics of a rotating shaft with a breathing crack
Submitted by saberelarem on Mon, 2011-12-12 00:53.
The effects of a breathing crack on the vibratory
characteristics of a rotating shaft are investigated. A new,
simple and robust model composed of two rigid bars connected
with a nonlinear flexural spring is proposed. The nonlinear spring,
located at the cracked transverse section position,
concentrates the global stiffness of the cracked shaft. The breathing
mechanism of the crack is described by a more realistic
periodic variation of the global stiffness depending not only but
substantially on the system vibratory response. It is based
on an energy formulation of the problem of 3D elasticity with
unilateral contact conditions on the crack lips. A possible
partial opening and closing of the crack is considered which makes
MODELING COUPLING EFFECTS IN CORD-RUBBER COMPOSITE STRUCTURES
Submitted by saberelarem on Mon, 2011-04-25 18:35.
An analytical model is developed to study the coupling effects in
cord-rubber composite materials. The analytical model takes into account
the mismatch of stiffness between the cords and the rubber matrix
material, and the twist-extension coupling. The transverse deformation,
i.e., normal to the cords direction is based on the normal modes of a
special system which describes the orthotropic and the coupling
behaviour of cord-rubber composites. The equations of motion for the
cord-composite plates are derived using the principle of virtual work.
Results of deformation and stresses are obtained for some typical
cord-rubber composite plates and are compared to the existing solutions.
The results presented illustrate that the coupling effects are
Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure
Submitted by saberelarem on Mon, 2011-04-25 13:14.
The main purpose of this paper is to complete the works presented by
Andrieux and Varé (2002) and El Arem et al. (2003) by taking into
account the effects of shearing in the constitutive equations of a beam
cracked section in bi-axial flexure. The paper describes the derivation
of a lumped cracked beam model from the three-dimensional formulation of
the general problem of elasticity with unilateral contact conditions on
the crack lips. Properties of the potential energy and convex analysis
are used to reduce the three-dimensional computations needed for the
model identification, and to derive the final form of the elastic energy
that determines the nonlinear constitutive equations of the cracked
Full-scale dynamic response of an RC building under weak seismic motions using earthquake recordings, ambient vibrations and mod
Submitted by saberelarem on Mon, 2011-04-25 11:30.
In countries with a moderate seismic hazard, the classical methods
developed for strong motion prone countries to estimate the seismic
behaviour and subsequent vulnerability of existing buildings are often
inadequate and not financially realistic. The main goals of this paper
are to show how the modal analysis can contribute to the understanding
of the seismic building response and the good relevancy of a modal model
based on ambient vibrations for estimating the structural deformation
under weak earthquakes. We describe the application of an enhanced modal
analysis technique (frequency domain decomposition) to process ambient
vibration recordings taken at the Grenoble City Hall building (France).
A new parallel sparse direct solver: numerical experiments in large-scale structural mechanics parallel computing
Submitted by saberelarem on Sun, 2011-04-24 20:04.
The main purpose of this work is to present a new parallel direct solver: Dissection solver. It is based on LU
factorization of the sparse matrix of the linear system and allows to
detect automatically and handle properly the zero-energy modes, which
are important when dealing with DDM. A performance evaluation and
comparisons with other direct solvers (MUMPS, DSCPACK) are also given
for both sequential and parallel computations. Results of numerical
experiments with a two-level parallelization of large-scale structural
analysis problems are also presented: FETI is used for the global
problem parallelization and Dissection for the local
A CRACKED BEAM FINITE ELEMENT FOR ROTATING SHAFT DYNAMICS AND STABILITY ANALYSIS
Submitted by saberelarem on Fri, 2010-04-02 09:10.In this paper, a method for the construction of a cracked beam finite element is presented. The additional flexibility due to the cracks is identified from three-dimensional finite element calculations taking into account the unilateral contact conditions between the crack lips. Based on this flexibility, which is distributed over the entire length of the element, a cracked beam finite element stiffness matrix is deduced. Considerable gain in computing efforts is reached compared to the nodal representation of the cracked section when dealing with the numerical integration of differential equations in structural dynamics. The stability analysis of a cracked shaft is carried out using the Floquet theory.


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