Vibro-acoustic prediction of functionally graded cylindrical shell coupled with internal acoustic field
Received:November 02, 2021  Revised:December 20, 2021
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DOI:10.7511/jslx20211102001
KeyWord:FGM cylindrical shell  structure-acoustic coupling  orthogonal polynomial  vibro-acoustic characteristics
           
AuthorInstitution
钟锐 中南大学 高性能复杂制造国家重点实验室, 长沙
陈正雄 中南大学 高性能复杂制造国家重点实验室, 长沙
王青山 中南大学 高性能复杂制造国家重点实验室, 长沙
秦斌 中南大学 交通运输工程学院, 长沙
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Abstract:
      To satisfy the requirements for the vibro-acoustic analysis of a functionally graded (FGM) cylindrical shell and its internal sound field,the characteristic orthogonal-Ritz method is employed to investigate the influence of some factors,such as shell’s thickness,the material gradient index,the stiffness of the boundary support,impedance boundary,and the position of the harmonic force on the vibro-acoustic system.The displacement components of the cylindrical shell and its internal sound pressure are constructed by the characteristic orthogonal polynomials and the circumferential Fourier harmonic functions,when the coupling conditions between the structure and the sound field are considered by means of the work done by sound pressure.And then,the Ritz method is introduced to obtain the vibro-acoustic modes and steady-state response of the coupled system.This research shows that the numerical solution obtained by the current model is in good agreement with the results of the literature and the finite element method.Parametric studies reveal that shell’s thickness,gradient index,boundary stiffness,impedance boundary,and excitation position play significant roles on the coupling characteristics of the vibro-acoustic system,which provides a useful reference for the low-noise design of this type of structure as well as optimization of their internal sound field.