Dynamic Stability of Beams under Parametric Excitation

By: Mohanty, S CContributor(s): Kavi, N [Supervisor] | Department of Mechanical EngineeringMaterial type: TextTextLanguage: English Publisher: 2005Description: 198Subject(s): Engineering and Technology | Mechanical Engineering | Structural AnalysisOnline resources: Click here to access online Dissertation note: Thesis (Ph.D)- National Institute of Technology, Rourkela Summary: ABSTRACT The present investigat ion is an attempt to contribute towards the improved understanding of the dynamic stability of beams under parametric excitation. The dynamic stability of ordinary and sandwich beams subjected to l ongitudinal parametric excitation has been investigated theoretically and experiments have been carried out to validate some of the theoretical findings. The equati ons of motion have been de rived using finite element method. For ordinary beams the instability re gions have been established using Floquet’s theory and for sandwich beams modified Hs u’s method proposed by Saito and Otomi has been applied to determine the boundary frequencies of the instability regions. The dynamic stability of a Timoshenko b eam with localised damage and having fixed-free, pinned-pinned, fi xed-fixed and fixed-pinned boundary conditions has been investigated to study th e effects of parameters such as extent of damage, position of damage, static load factor and boundary c onditions on its dynamic stability behaviour. The parametric instability of a twisted cantilever beam with localised damage has been investigated to study the effect of angl e of pretwist, location of damage, extent of damage and static load factor on its dynamic stability characteristics. The governing equations of motion fo r a general multilayered symmetric cantilever sandwich beam subjected to parametric excitation have been derived. Numerical results have been presented for th ree, five and seven layered beams to study the effects of various system parameters, such as core thickness parameter, core loss factor and number of layers on the stability behaviour of the sandwich beams. The dynamic stability behaviour of multilayered be ams of various configurations based on some important criteria such as constant size, constant weight, consta nt flexural rigidity, constant size and flexural rigi dity and constant weight and fl exural rigidity has also been discussed. Effects of static load fact or and thermal gradient factor on the dynamic stability of a simply supported tapered beam with ther mal gradient along its length have been studied. Experimental work has been carried out to verify some of the theoretical results for beams with localised damage and multi la yered symmetric cantilever sandwich beam
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Thesis (Ph.D/M.Tech R) Thesis (Ph.D/M.Tech R) BP Central Library
Thesis Section
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Thesis (Ph.D)- National Institute of Technology, Rourkela

ABSTRACT
The present investigat
ion is an attempt to contribute
towards the improved understanding
of the dynamic stability of beams under parametric excitation. The dynamic stability of
ordinary and sandwich beams subjected to l
ongitudinal parametric excitation has been
investigated theoretically and
experiments have been carried
out to validate some of the
theoretical findings. The equati
ons of motion have been de
rived using finite element
method. For ordinary beams the instability re
gions have been established using Floquet’s
theory and for sandwich beams modified Hs
u’s method proposed by Saito and Otomi has
been applied to determine the boundary frequencies of the instability regions.
The dynamic stability of a Timoshenko b
eam with localised damage and having
fixed-free, pinned-pinned, fi
xed-fixed and fixed-pinned boundary conditions has been
investigated to study th
e effects of parameters such as
extent of damage, position of
damage, static load factor and boundary c
onditions on its dynamic stability behaviour.
The parametric instability of a twisted
cantilever beam with localised damage has
been investigated to study the effect of angl
e of pretwist, location of damage, extent of
damage and static load factor on its dynamic stability characteristics.
The governing equations of motion fo
r a general multilayered symmetric
cantilever sandwich beam subjected to parametric excitation have been derived.
Numerical results have been presented for th
ree, five and seven layered beams to study
the effects of various system parameters, such as core thickness parameter, core loss
factor and number of layers
on the stability behaviour
of the sandwich beams. The
dynamic stability behaviour of multilayered be
ams of various configurations based on
some important criteria such as constant size,
constant weight, consta
nt flexural rigidity,
constant size and flexural rigi
dity and constant weight and fl
exural rigidity has also been
discussed.
Effects of static load fact
or and thermal gradient factor on the dynamic stability of
a simply supported tapered beam with ther
mal gradient along its length have been
studied.
Experimental work has been carried out to
verify some of the theoretical results
for beams with localised damage and multi la
yered symmetric cantilever sandwich beam

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