Purpose Design: The process of hydroforming is defined as the formation of parts into the internal mold design using internal pressure. This process can extensively reduce parts and secondary operations, and adoption to the loading path is one of its most essential points. Methodology: A dynamic loading path was taken into account in the current study, and a drop hammer was employed for this purpose, decreasing the time and requiring less number of systems. Approach\ Findings\ Research limitations: Further, a single energy source was applied to induce axial force and internal pressure. To this end, designing a mold that fits the situation was necessary. To deform the tube, the volume of the fluid and the amount of kinetic energy were taken into account. Because of the construction of the box mold, the hydraulic pressure from the amount of the fluid in the die forms the tube through falling down the drop hammer’s mass on the mandrels. Axial punches are also used for axial force by placing on the sides of the tube. Implications\ Practical implications\ Originality: In addition to experiments for numerical analyses, the finite element simulation model was provided via Abaqus software in which the Eulerian-Lagrangian coupling method was utilized for evaluating the tube forming process through repeating the fluid flow formation because of the effect. Moreover, the genetic programming model was efficient for determining the most suitable input parameters regarding prediction for the minimum thickness which examined the efficiency of the process and presented a mathematical relationship. Findings\ Value: One of the main observations of this research is that selecting side punches with a smaller central hole radius is proportional to the kinetic energy and the amount of fluid. Moreover, it can be effective in achieving the optimal loading path.

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