A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells (ePub)

The capability to predict the nonlinear response of beams,
plates and shells when subjected to thermal and mechanical loads is
of prime interest to structural analysis. In fact, many structures
are subjected to high load levels that may result in nonlinear
load-deflection relationships due to large deformations. One of the
important problems deserving special attention is the study of
their nonlinear response to large deflection, postbuckling and
nonlinear vibration.

A two-step perturbation method is firstly proposed by Shen and
Zhang (1988) for postbuckling analysis of isotropic plates. This
approach gives parametrical analytical expressions of the variables
in the postbuckling range and has been generalized to other plate
postbuckling situations. This approach is then successfully used in
solving many nonlinear bending, postbuckling, and nonlinear
vibration problems of composite laminated plates and shells, in
particular for some difficult tasks, for example, shear deformable
plates with four free edges resting on elastic foundations, contact
postbuckling of laminated plates and shells, nonlinear vibration of
anisotropic cylindrical shells. This approach may be found its more
extensive applications in nonlinear analysis of nano-scale
structures.

* Concentrates on three types of nonlinear analyses: vibration,
bending and postbuckling

* Presents not only the theoretical aspect of the techniques, but
also engineering applications of the method

A Two-Step Perturbation Method in Nonlinear Analysis
of Beams, Plates and Shells is an original and unique technique
devoted entirely to solve geometrically nonlinear problems of
beams, plates and shells. It is ideal for academics, researchers
and postgraduates in mechanical engineering, civil engineering and
aeronautical engineering.