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The explosive welding interface between TA2 and 5083 is prone to produce brittle intermetallic compounds, oxides, continuous melting zone and other defects, the welding window is narrow, and the optimal welding parameters are difficult to obtain accurately.In this paper, the β-Vf model of dynamic bending Angle β and impact velocity Vf is reconstructed. The numerical simulation of TA2/1060/5083 explosive welding with explosive thickness of 10mm, 15mm and 20mm and flyer plate thickness of 1.5mm are carried out for the first time by using the Steinberg-Guinan material constitutive model using SPH and Lagrange coupling algorithm. The parameters obtained from numerical simulation were used to carry out explosive welding experiments.The numerical simulation and experimental results show that TA2/1060 and 1060/5083 interface have high quality straight bond when the explosive thickness is 10mm, and 1060/5083 interface has wavy shape bond when the explosive thickness is 15mm. No brittle intermetallic defect formation is detected at the Ti-Al transition interface under the two explosive thickness conditions;When the thickness of explosive is 20mm, the material is damaged and can not be recombined.In this paper, a large area TA2/1060/5083 composite material has been successfully prepared, and the explosive welding process has been accurately calculated, which provides a reliable algorithm for the dissimilar metal explosive composite problem with great difference in physical and chemical properties.