In this study, a complex multi-body structure was proposed, and the mechanism for the dynamic response of the structure under explosive driving was investigated by using the Lagrange equations of the second kind. An initial value subject to explosion loading was analyzed to develop the theoretical model of the dynamic response, and the centroid trajectory of three different structural shapes was solved. To verify the accuracy of the theoretical model, numerical simulation via finite element analysis within LS-DYNA and a dynamic experiment were conducted, and the consistent dynamic response process of the multi-body structure was obtained. In addition, the dynamic response time of the multi-body structure under different explosion loading conditions was calculated by the theoretical model, numerical simulation, and experimental investigation. It was found that the increased opening charge mass reduces the dynamic response time. In this study, a complex multi-body structure was proposed, and the mechanism for the dynamic response of the structure under explosive driving was investigated by using the Lagrange equations of the second kind. An initial value subject to explosion loading was analyzed to develop the theoretical model of the dynamic response, and the centroid trajectory of three different structural shapes was solved. To verify the accuracy of the theoretical model, numerical simulation via finite element analysis within LS-DYNA and a dynamic experiment were conducted, and the consistent dynamic response process of the multi-body structure was obtained. In addition, the dynamic response time of the multi-body structure under different explosion loading conditions was calculated by the theoretical model, numerical simulation, and experimental investigation. It was found that the increased opening charge mass reduces the dynamic response time.