The mass matrix and time integration method were introduced into the piezoelectric extended layerwise method (XLWM). According to the displacement and internal force balance conditions of the connection area between piezoelectric sheet and composite material laminated structure,the overall control equation of piezoelectric com-posite material laminates was established,and the transient response analysis of structures containing damage was achieved. Firstly,in the numerical example,the convergence analysis was conducted using non-destructive struc-tures,and the converged results were compared with the three-dimensional elastic model simulated by ANSYS software to verify the correctness of the proposed method. Secondly,in the condition of containing single damage,the influence law of different damage parameters on the transient response of piezoelectric composite material lam-inates was studied. Finally,under multiple damage conditions,the variation law of transient response of piezoelec-tric composite material laminates under different damage parameters was studied,and the influence of the coupling position between piezoelectric sheet and composite material on the transient response was analyzed.
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