Analytical model of sound transmission through relatively thick FGM cylindrical shells considering third order shear deformation theory

• Published in: Composite structures Vol. 93; no. 1; pp. 67 - 78
• Main Authors: Daneshjou, K., Shokrieh, M.M., Ghorbani Moghaddam, M., Talebitooti, R.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.12.2010; Elsevier
• Subjects: Acoustics; Cylindrical shells; Exact sciences and technology; Functionally gradient materials; Fundamental areas of phenomenology (including applications); Linear acoustics; Mathematical analysis; Physics; Plane waves; Relatively thick FGM cylindrical shell; Shear; Shear deformation; Shells; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Thin walled shells; Third order shear deformation theory; Transmission loss; Third order shear deformation theory; Transmission loss; Relatively thick FGM cylindrical shell; Immersed body; Volume fraction; Thin shell; Interaction; Acoustics; Metal; Revolution shell; Thick shell; Modeling; Wave transmission; Air flow; Functionnally graded material; Plane wave; Cylindrical shell; Non linear effect; Power law
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2010.06.014

This work presents an analytical solution for acoustic transmission through relatively thick FGM cylindrical shells using third order shear deformation theory (TSDT). An infinitely long FGM cylindrical shell composed of metal and ceramic with power-law distribution of volume fraction through the thickness is considered. The shell is immersed in a fluid with an external airflow and an oblique plane wave impinges on the external sidewall of the shell. Comparing the results of present study with those of previous models (CST and FSDT) for thin shells, similar results are observed due to limited effects of shear and rotation on transmission loss (TL). However, for relatively thick shells where the shear and rotation effects become more important in lower R/ h, TSDT presents more accurate results caused by its higher order model. In addition, the results show proportional change in TL according to distribution of material properties through the thickness of FG cylindrical shells.