Three-dimensional wave propagation on orthotropic cylindrical shells with arbitrary thickness considering state space method

Abstract

This work presents an analytical solution based on the three-dimensional exact equations of anisotropic elasticity for sound transmission through orthotropic cylindrical shells with arbitrary thickness using a laminate approximate model and a state space method along with the transfer matrix approach. The shell is assumed to be infinitely long and is subjected to an oblique plane wave with uniform external airflow in the external fluid medium. The developed equations are applied to the calculation of the diffuse field transmission of a cylinder. Predictions with the presented models are compared with those of previous models for thin shells. Similar results are observed due to restricted effects of shear and rotation on transmission loss (TL). However, the presented model demonstrates more accurate results for thick shells as the shear and rotation effects become more significant in lower R/. h ratio. Additionally, the effects of related parameters on transmission loss such as material and geometrical properties are discussed.