Abstract
Blast loads have been increasingly studied in the past decades, especially regarding civil structures. Until recently, the negative phase of these loads has been disregarded, but studies concluded that the effect of suction must be included. In the case of plates, nonlinearity plays an important role, and the membrane effect should also be considered. This work focuses on the influence of nonlinearity in plates subjected to blast loads. Equations were developed for the calculation of blast load parameters, considering that positive and negative phases are approximated by the Friedlander equation and cubic polynomial, respectively. The plate is modeled as a SDOF system using von Karman's theory of large displacements. The development of the nonlinear dynamic differential equation is reviewed, considering a simply supported plate, and its solution is based on fourth order Runge-Kutta numerical method. A reference example is used as a benchmark and then parametric studies are conducted, in which the influence of scaled distance, mass of explosive, and the consideration or not of the negative phase is analyzed.
Highlights
Evaluation and search for criteria concerning the blast phenomenon have been studied recently after numerous events arising from both intentional and accidental explosions took place in various locations
The first studies on blast loads were carried out by Friedlander (1940), showing that explosions create a rise in pressure above the atmosphere, known as the positive phase, until it returns to ambient pressure after a certain interval of time
Gupta et al (1987) presented a study considering a single degree of freedom (SDOF) supported plate, using the Friedlander equation to model the blast load
Summary
Evaluation and search for criteria concerning the blast phenomenon have been studied recently after numerous events arising from both intentional and accidental explosions took place in various locations. In the case of dynamic loads acting on structures, there is the need for the consideration of large displacements which, in addition, demand the inclusion of membrane effects in the case of plates, for example. These effects consider in-plane behavior which is normally disregarded in the analyses of plates and one of the possible approaches are the well-known Von Karman (1910) equations. Gupta et al (1987) presented a study considering a single degree of freedom (SDOF) supported plate, using the Friedlander equation to model the blast load. This work focuses on the analysis of plates subjected to blast loads (positive and negative phases) considering membrane effects. A reference example of a square plate is used as a benchmark and a parametric study is conducted, in which the influence of scaled distance, mass of explosive and the consideration or not of the negative phase is analyzed
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