Effect of material inhomogeneity on characteristics of a functionally graded hollow cylinder

作者:

Highlights:

• Axisymmetric problem on steady-state oscillations of an inhomogeneous cylinder is formulated.

• The material parameters and density vary along the radial coordinate.

• The direct problem is reduced to a number of canonical ODE systems with variable coefficients.

• The influence of the variable Lame parameters on different field characteristics is analyzed.

• A series of computational experiments are carried out and discussed.

摘要

•Axisymmetric problem on steady-state oscillations of an inhomogeneous cylinder is formulated.•The material parameters and density vary along the radial coordinate.•The direct problem is reduced to a number of canonical ODE systems with variable coefficients.•The influence of the variable Lame parameters on different field characteristics is analyzed.•A series of computational experiments are carried out and discussed.

论文关键词:Cylinder,Oscillations,Lamé parameters,Variables elastic properties,Acoustic method,Series,Numerical methods

论文评审过程:Received 28 February 2019, Revised 30 March 2020, Accepted 26 April 2020, Available online 12 May 2020, Version of Record 12 May 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125333