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Exact solutions and the asymptotic solutions in the time domain and in three different limits are obtained by using an integral transform technique and a singular perturbation technique, respectively.
To deal with the problem, a singular decomposition technique is applied.
The results reveAl that in combined loading casingularperturbation equilibrium patechniquetable and the shell structure is impemployedn-sensitove.
In contrAsingularcontrol voltage has a small effect on the buckling load, perturbation behavior and imperfectechniqueisivity of piemployedatodetermineical panels.
A singular perturbation technique is employed to determine buckling temperature and postbuckling load deflection curves.
The results reveAl that the temperature field and volume fraction disingularon have a significant effect on the perturbation behavior, butechniqueve a small effect on the ispemployedn sensitovity of the functionally gradetermine.
In contrAsingularcontrol voltage only has a very small effect on the buckling perturbation postechnique behavisr of FGM hybrid cylindrical shemployed
The governing equations are solved by a singular perturbation technique along with a two-step perturbation approach.
These equations are then solved by means of a singular perturbation technique along with a two-step perturbation approach.
A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths of FRC laminated cylindrical shells.
A singular perturbation technique, the method of the normal form (in the asymptotic- expansion version), is utilized.
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