Laying passive constraint layer damping(PCLD)on elastic cavity structure can achieve the effect of vibration and noise reduction.In this paper,an edge-smoothed finite element coupling model for a two-dimensional composite elastic cavity is established.With the PCLD structure discretized by the two nodes and four freedoms PCLD beam element,the sound field adopts the edge smoothed finite element model.Taking the two-dimensional fully layered composite rectangular cavity model as a numerical example,by comparing the three results with the two finite element methods with rough mesh and fine mesh,and with the present method,it is proved that the result obtained by the present method is closer to the one of FEM with fine mesh compared with the result gained by the FEM with the same background mesh.It has higher accuracy and convergence than those of the finite element method,especially in the calculation of intermediate-high frequency.Finally,the noise reduction effect of the PCLD structure on the driving cavity of an automobile and the influence of the thickness parameters of viscoelastic layer and constraint layer on the noise reduction performance of the coupling system are analyzed,and a conclusion is drawn that the thicker viscoelastic layer could bring better damping effect to some extent,while thicker constrained layer could achieve worse damping effect in some peaks