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Dynamic buckling of functionally graded cylindrical thin shells under non-periodic impulsive loading. (English) Zbl 1064.74100

Summary: A formulation for the buckling of cylindrical thin shells made of functionally graded material (FGM) composed of ceramic and metal subjected to external pressure varying as a power function of time is presented. The properties are graded in the thickness direction according to a volume fraction power-law distribution. The modified Donnell-type dynamic stability and compatibility equations are obtained using Love’s shell theory. Applying Galerkin method and then applying a Ritz type variational method to these equations for different initial conditions and taking large values of loading parameters into consideration, analytic solutions are obtained for critical parameter values. The results show that the critical parameters are affected by the configurations of the constituent materials, loading parameter variations and the power of time in the external pressure variations. Comparing the results with those in the literature, we validate the present analysis.

MSC:

74H60 Dynamical bifurcation of solutions to dynamical problems in solid mechanics
74K25 Shells
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