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

The capability to predict the nonlinear response of beams,plates and shells when subjected to thermal and mechanical loads isof prime interest to structural analysis. In fact, many structuresare subjected to high load levels that may result in nonlinearload-deflection relationships due to large deformations. One of theimportant problems deserving special attention is the study oftheir nonlinear response to large deflection, postbuckling andnonlinear vibration.
A two-step perturbation method is firstly proposed by Shen andZhang (1988) for postbuckling analysis of isotropic plates. Thisapproach gives parametrical analytical expressions of the variablesin the postbuckling range and has been generalized to other platepostbuckling situations. This approach is then successfully used insolving many nonlinear bending, postbuckling, and nonlinearvibration problems of composite laminated plates and shells, inparticular for some difficult tasks, for example, shear deformableplates with four free edges resting on elastic foundations, contactpostbuckling of laminated plates and shells, nonlinear vibration ofanisotropic cylindrical shells. This approach may be found its moreextensive applications in nonlinear analysis of nano-scalestructures.
* Concentrates on three types of nonlinear analyses: vibration,bending and postbuckling
* Presents not only the theoretical aspect of the techniques, butalso engineering applications of the method
A Two-Step Perturbation Method in Nonlinear Analysisof Beams, Plates and Shells is an original and unique techniquedevoted entirely to solve geometrically nonlinear problems ofbeams, plates and shells. It is ideal for academics, researchersand postgraduates in mechanical engineering, civil engineering andaeronautical engineering.