Natural frequencies for bending vibrations of smart laminated composite plates reinforced with bamboo fibres

This research study focuses on analytical modelling to determine natural frequencies for bending vibration of smart piezoelectric coupled laminated composite plates reinforced with bamboo fibres. To model bending vibration, the classical plate theory, by considering only the bending effect, is utilized to derive the constitutive relations and the governing equation of motion. Maxwell’s static electricity equation is incorporated to model the electromechanical coupling effect of surface-bonded piezoelectric materials. This accounts for the interaction between electrical and mechanical responses in the composite structure. The natural frequencies are determined by solving an eigenvalue problem. This research work explores the effects of various parameters on the natural frequencies, including piezoelectric materials, laminate stacking sequence of the host composite plate, fibre volume fraction, and material properties of the host plate. This study provides insights into the behaviour and performance of the natural fibre composite plates under vibration. This research work finds a significant effect of piezoelectric materials on the natural frequencies while the influence of the lamination stacking sequence can be considered negligible. The results of this study also indicate that natural fibre composites lead to higher natural frequencies compared to synthetic fibre composites and isotropic materials.