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

doi:10.1007/s10483-023-3004-7

摘要/Abstract

摘要： 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.

关键词: porous foam functionally graded (FG) plate, thermal environment, natural frequency, sound transmission loss (STL)

Abstract: 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.

Key words: porous foam functionally graded (FG) plate, thermal environment, natural frequency, sound transmission loss (STL)

中图分类号:

74H45

Wenhao YUAN, Haitao LIAO, Ruxin GAO, Fenglian LI. Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 897-916.

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