Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment

This study investigates the vibration and acoustic properties of porous foam functionally graded (FG) plates under the influence of the temperature field. The dynamics equations of the system are established based on Hamilton's principle by using the higher-order shear deformation theory under the linear displacement-strain assumption. The displacement shape function is assumed according to the four-sided simply-supported (SSSS) boundary condition, and the characteristic equations of the system are derived by combining the motion control equations. The theoretical model of vibro-acoustic coupling is established by using the acoustic theory and fluid-structure coupling solution method under the simple harmonic acoustic wave. The system's natural frequency and sound transmission loss (STL) are obtained through programming calculations and compared with the literature and COMSOL simulation to verify the validity and reliability of the theoretical model. The effects of various factors, such as temperature, porosity coefficients, gradient index, core thickness, width-to-thickness ratio on the vibration, and STL characteristics of the system, are discussed. The results provide a theoretical basis for the application of porous foam FG plates in engineering to optimize vibration and sound transmission properties.

Automated summary

This study investigates the vibration and acoustic properties of porous foam functionally graded plates under the influence of temperature field. The dynamics equations and characteristic equations of the system are established using Hamilton's principle and a higher-order shear deformation theory. The vibro-acoustic coupling model is developed using acoustic theory and fluid-structure coupling solution method. The effects of temperature, porosity coefficients, gradient index, core thickness, and width-to-thickness ratio on the vibration and sound transmission characteristics are discussed.