The Prediction of Center of Mass Displacement of Triangular Plate Using Non-dimensional Analysis

The understanding some characteristics of the influence of an interior gaseous detonation within a confined space on plate deformation is valuable for production purposes. In this study, the center of mass displacement of thin steel triangular plates subjected to acetylene and oxygen mixture detonation loading is investigated theoretically. Empirical modeling is presented to find the relationships between effective parameters in the gas detonation forming process such as mechanical properties of plate, impulse of applied load, plate geometry and strain-rate sensitivity effect and center of mass displacement of the triangular plate. Some important parameters, including plate thickness and yield strength, different triangular clamp sizes were studied to show the exposed area effect on the center of mass displacement. The results from non-dimensional analysis demonstrated a good agreement compared with experimental data and showed that the center of mass displacement decreases greatly with involving thicker plate. Non-dimensional analysis as a profitable tool in the evaluation of the center of mass displacement demonstrates that midpoint deflection was decreased by the smaller size of the exposed area of the plate.