Cylindrical explosion containment vessels (ECVs) are widely applied in transportation, nuclear engineering, public security, and scientific research fields to ensure the safety of the staff and equipment. In this paper, a cylindrical ECV model under a nonuniformly explosive load was established. The nonuniformly explosive load is simplified as parabolic pressure acting on the internal wall of the ECV. And then, based on the stress function method and boundary conditions, an analytical solution of the ECV subjected to the parabolic load was obtained. Next, the dynamic burst pressure equation of the ECV under the explosive load was obtained. In the end, the accuracy of the dynamic burst pressure equation was evaluated by comparing with the finite element method (FEM) under different pulse duration. The results demonstrated that the equation can accurately predict the dynamic burst pressure of the ECV. In addition, our researches can provide a benchmark for approximate or numerical solutions. It is rewarding to analyze the failure problem and evaluate the safety and integrity of the pipe and vessels under a nonuniformly explosive load.

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