Parametric analysis and optimization of tubes filled with double-arrowed negative Poisson's ratio under transverse impact loadings

Abstract

At present, most of the crash performance studies for negative Poisson's ratio (NPR) filled tubes are focused on the axial impact loadings. This paper focused on the transverse impact load response of filled tubes for double-arrowed negative Poisson's ratio (DANPR) structures. The effects of each structural parameter of the double-arrowed cell on the peak collision force (PCF) and specific absorption energy (SEA) of the filled tube were analyzed by numerical simulations and three-point bending experiments. Cell beam thickness, cell half-width, cell long beam angle, cell short beam angle and impact velocity were found to have significant influences on the PCF and SEA and the deformation of the filled tube. The optimal structural parameters of the DANPR filled tubes were obtained by a surrogate model and an optimization algorithm. The results shown that the maximum value of SEA and the minimum value of PCF are contradictory relationships and cannot be obtained simultaneous. However, it can be found that after optimization, the SEA can be changed to about 510 kJ/kg with the same PCF, which is an increase of about 36.45%. If its SEA is kept constant, the PCF becomes about 3.2 kN after optimization, a decrease of about 37.74%. Therefore, the practical manufacturing needs to make tradeoffs according to the weights of both, which also provides a reference for the design of DANPR filled tubes.