The axisymmetric dynamic response of viscoelastic clamped shallow spherical shells to transient pressure loading is analyzed analytically and experimentally. The nonlinear governing equations derived by the authors are solved numerically, and the critical load and the effects of viscoelasticity and loading speed on the dynamic behavior of the shell are discussed. The definition of the dynamic critical load is proposed. And, it is pointed out that the buckling phenomena have to be analyzed paying an attention to the connection with the time, because the dynamic, static and creep bucklings are related with one another as a function of time. In order to observe the response of viscoelastic spherical shells to the dynamic loading and to check the results of the numerical solution, some experiments have been carried out and a good agreement between the theoretical and experimental values is seen.
浅い粘弾性球形殼の動的挙動
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