Simplified calculation method for dynamic response of K8 single-layer reticulated shell under blast load

According to Hamilton's principle, a theoretical analysis model suitable for a simply supported beam and a K8 single-layer reticulated shell was proposed based on Lagrange's equations. Firstly, the model was applied to calculate dynamic responses of a simply supported beam under tri-angular blast loads. Results showed that its vibration law, peak displacement, velocity, kinetic energy and internal energy are very close to those of FE analysis. Then, the theoretical analysis model was extended to calculate dynamic responses of K8 single-layer reticulated shell under triangular blast load. Influence laws of the number of generalized displacement parameters in deformation functions of the shell's rods and peak load on response results were analyzed. Finally, based on analyzing the error between results of the theoretical analysis model and those of LS-DYNA FE analysis, the theoretical analysis model was improved. The applicability of this theoretical analysis model for calculating dynamic response of reticulated shells under blast load was proved.