Vibroacoustic response of mode localized thin functionally graded plates using physical neutral surface

• Published in: Composite structures 2022-05, Vol.287, p.115301, Article 115301
• Main Authors: Singh, Baij Nath, Ranjan, Vinayak, Hota, R.N.
• Format: Article
• Language: English
• Subjects: Functionally graded plates; Modal participation factor; Mode localization; Rayleigh integral; Sound radiation
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2022.115301

This paper investigates an analytical solution to the sound radiation behavior of vibrating thin mode localized Al/Al2O3 functionally graded plates (FGM) with varying boundary conditions utilizing its physical neutral surface through analysis and simulation. For the study, simply-supported, clamped–clamped, and clamped–free FGM plates with power-law index k = 0,1,5,10 are examined. 20% of the plate’s weight is used to constraint the plate with point and distributed mass. Matlab formulation is used to compute the modal participation factors by analytically solving the governing equation. Furthermore, modal participation factors are used to compute the normal velocity and far-field sound radiation fields by solving the Rayleigh integral using the elemental radiator approach. Sound power level results are verified using ANSYS’s finite element method and good agreement is observed. The effects of boundary conditions and power law indexes on the sound radiation fields of mode localized FGM plate are correspondingly discussed. Cross-comparison of sound radiation by mode-localized FGM plate with point and distributed mass are discussed. Sound power level in terms of “A” weighted scale(dBA) illustrates that the sound power level increases with an increased power-law index. Moreover, mode localized FGM plate with distributed mass reported a lower sound power level for all power-law indexes. •Vibroacoustic response of mode localized FGM plate with power law index is illustrated first time.•Physical neutral surface is used to avoid stretching-bending coupling.•Sound radiation field of different mode localized FGM plate is illustrated in dBA scale first time.•Optimization of FGM plate to find the optimal location for point mass constraining is illustrated.•Effects of boundary conditions, power law indexes on vibroacoustic response are presented.