| dc.description.abstract | The main idea of structural analysis is to determine the stress, strain and
displacement of the system. Before the computational mechanics had
been developed, several analysis were conducted by treating the
structures as a series of bar, beam, plate and shell members and derived
the simplified governing equations which were based on the mechanics of
material and structural mechanics.
Since the computers have been developed, mechanics finally can combine
with the numerical analysis, the computational mechanics started to be
widely applied and had a great effect on convenience and solving difficult
problems. Among several numerical method, the nonlinear finite element,
which is based on the principle of virtual work, can give more accuracy in
the analysis, but sometimes the derivation is too complicated, also,
traditional finite element method is of coupled matrix formulation, this
phenomenon lead to a difficult point on solving the simultaneous
equations if the structural system is huge enough or the mechanical
behavior is complex, when a system contains the above problems the
matrix calculation will waste too much time or even can make the matrix
solution singular.
In order to solve the problems of traditional finite element, in this study
we consider an easy way to treat the geometric nonlinearity, that is,
corotational formulation, also, constructing the uncoupled-type equations
of motion and solving them by the use of implicit Newmark-β method,
and deriving nonlinear plane solid elements as well as testing their ability
at highly geometrically nonlinear analysis. | en_US |