Abstract
Cylindrical shells are principal structural elements that are used for many purposes, such as offshore, sub-marine, and airborne structures. The nonlinear mechanics model of internal blast loading was established to predict the dynamic blast pressure of cylindrical shells. However, due to the complexity of the nonlinear mechanical model, the solution process is time-consuming. In this study, the nonlinear mechanics model of internal blast loading is linearized, and the dynamic blast pressure of cylindrical shells is solved. First, a mechanical model of cylindrical shells subjected to internal blast loading is proposed. To simplify the calculation, the internal blast loading is reduced to linearly uniform variations. Second, according to the stress function method, the dynamic blast pressure equation of cylindrical shells subjected to blast loading is derived. Third, the calculated results are compared with those of the finite element method (FEM) under different durations of dynamic pressure pulse. Finally, to reduce the errors, the dynamic blast pressure equation is further optimized. The results demonstrate that the optimized equation is in good agreement with the FEM, and is feasible to linearize the internal blast loading of cylindrical shells.
Highlights
Published: 19 November 2021Cylindrical shells are special pressure vessels that are widely used in offshore and submarine structures, among others
This paper focuses only on the dynamic blast pressure prediction equation of the cylindrical shell subjected to an internal explosive load
The results show that there is a gap between the dynamic blast pressure calculated from Equation (22) and the finite element method (FEM) results, which cannot meet the engineering requirements well
Summary
Cylindrical shells are special pressure vessels that are widely used in offshore and submarine structures, among others. The cylindrical shell structures are utilized to transport oil and gas [1]. In sub-marine applications, the pressure shell is the primary element for withstanding diving pressure [2]. To solve explosion problems of cylindrical shells, scholars often simplify the blast loadings into nonlinear loads via theoretical analysis [3] and finite element simulation [4]; the nonlinear load model of the internal blast loading is complicated, and its solution is difficult and time-consuming. It is necessary to establish a more effective model to solve the problem. Scholars have carried out research by means of theoretical analysis, blasting tests, and numerical simulations [5,6]. In 1958, Baker and Allen [7] first established a general response theory for spherical shells of arbitrary thickness, showing that even “thin-shell” equations of motion can accurately describe relatively thick shells
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