A novel model considering slip effect of 1D periodic aluminum/epoxy resin composite laminated structures (PAERCLS) is proposed to investigate the vibration damping behavior under bending vibration excitation. Dynamic equation and characteristic equation of the 1D PAERCLS are derived respectively based on Euler beam theory, Bloch's theorem and transfer matrix method. Rationality of the model is verified by amplitude-frequency response analysis. Furthermore, the influence of connection stiffness ks, height ratio h1/h and length ratio la /l on the bandgap distribution characteristics of the 1D PAERCLS is studied in detail. Taking the calculated width of each bandgap in the condition of ks=0 N/m as a reference value, results show that when ks increases from 0 N/m to 1.0 × 109 N/m, the widths of the 1st, 2nd, 3rd and 5th bandgap decrease to 18.4 %, 74.2 %, 68.9 % and 100. 0 % of the reference value, respectively, while the width of the 4th bandgap increases to 363.4 % of the reference value. The maximum widths of the first four bandgaps affected by ratio la /l decrease respectively to 44.4 %, 79.0 %, 86.2 % and 90.5 % of the reference value, while the ratio of h1/h has almost no effect on it, when ks increases from 0 N/m to 1.0 × 109 N/m.