Prediction of the in-plane vibration behavior of porous annular plate with porosity distributions in the thickness and radial directions

A semi-analytical model is proposed in this study to investigate the in-plane vibration behavior of porous annular plate with porosity distributions in the thickness and radial directions. A variational method combined with a multi-segment technique is employed to establish the theoretical model of elastic restrained porous annular plate. Admissible functions of each plate segment are expanded in the mixed series form, that is, the Jacobian orthogonal polynomial for radial variables and Fourier series for circumferential variables. The boundary penalty parameters are introduced to implement different boundary restrictions and the coupling penalty parameters are employed for ensuring the continuity conditions between segments. A series of numerical examples are given to discuss the convergence characteristics and numerical stability of the current model. The comparison between modal tests and numerical predictions shows that good prediction capabilities with acceptable errors are achieved by the proposed method. The influences of geometrical and material parameters on the in-plane vibration characteristics of porous annular plate are also discussed in detail.

Automated summary

In this study, a semi-analytical model was proposed to investigate the in-plane vibration behavior of porous annular plate with porosity distributions. The theoretical model was established using a variational method combined with a multi-segment technique, and numerical examples were utilized to discuss convergence characteristics and numerical stability. The proposed method showed good prediction capabilities and acceptable errors, and the influences of geometrical and material parameters on the in-plane vibration characteristics were also explored.