الفهرس 
NONLINEAR. FINITE ELEMENT ANALYSIS OF’ STRUCTURESOnly 14 pages are availabe for public view
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Abstract
The main objective of this thesis is to study the geometrically
nonlinear behaviour of plane frames under static and
dynamic loads. This thesis contains five chapters and two appendi-
ces. In chapter 1, background information are presented. The
importance of the nonlinear analysis is explored. A historical re-
view of.some of the previous work is introduced.
In chapter 2,
the finite element·formulation of nonlinear structures is presented.
Three methods are used to deduce the nonlinear strain displacement
relation. Shape functions are introduced to relate the
degrees of freedom of any point within the element to their nodal
values.
Three methods are used to develop the nonlinear governing
equations. In chapter 3, the response of plane frames, subjected
to static loads is investigated. Four methods are presented for
solving th~ nonlinear govern~g equati~ns. Application is made to
two examples. The obtanied results are compared with the previous
work. In chapter 4, the nonlinear behaviour of plane frames, that
can be ideaized as single degree of freedom system, under dynamic
loads is investigated. Two methos are presented for solving the
nonlinear equation of dynamic equilibrium. Application is made to
the problem of fixed beam subjected to sudden applied dynamic
load. Comparison is made between the obtained results and the
previous work.
presented.
In chapter 5, the summary and main conclusions are