Loading...

Acoustic resonance scattering from a multilayered cylindrical shell with imperfect bonding

Rajabi, M ; Sharif University of Technology

2847 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.ultras.2009.05.007
  3. Abstract:
  4. The method of wave function expansion is adopted to study the three dimensional scattering of a time-harmonic plane progressive sound field obliquely incident upon a multi-layered hollow cylinder with interlaminar bonding imperfection. For the generality of solution, each layer is assumed to be cylindrically orthotropic. An approximate laminate model in the context of the modal state equations with variable coefficients along with the classical T-matrix solution technique is set up for each layer to solve for the unknown modal scattering and transmission coefficients. A linear spring model is used to describe the interlaminar adhesive bonding whose effects are incorporated into the global transfer matrix by introduction of proper interfacial transfer matrices. Following the classic acoustic resonance scattering theory (RST), the scattered field and response to surface waves are determined by constructing the partial waves and obtaining the non-resonance (backgrounds) and resonance components. The solution is first used to investigate the effect of interlayer imperfection of an air-filled and water submerged bilaminate aluminium cylindrical shell on the resonances associated with various modes of wave propagation (i.e., symmetric/asymmetric Lamb waves, fluid-borne A-type waves, Rayleigh and Whispering Gallery waves) appearing in the backscattered spectrum, according to their polarization and state of stress. An illustrative numerical example is also given for a multi-layered (five-layered) cylindrical shell for which the stiffness of the adhesive interlayers is artificially varied. The sensitivity of resonance frequencies associated with higher mode numbers to the stiffness coefficients is demonstrated to be a good measure of the bonding strength. Limiting cases are considered and fair agreements with solutions available in the literature are established. © 2009 Elsevier B.V. All rights reserved
  5. Keywords:
  6. Interfacial debonding ; Resonance acoustic spectroscopy ; Sound wave interaction ; State space approach ; Acoustic resonance ; Adhesive bonding ; Adhesive interlayers ; Approximate laminate model ; Back-scattered ; Bonding strength ; Cylindrical shell ; Higher mode ; Hollow cylinders ; Interfacial transfer ; Interlaminar ; Lamb wave ; Limiting case ; Linear spring model ; Modal state ; Multi-layered ; Non-resonances ; Numerical example ; Partial waves ; Rayleigh ; Resonance components ; Resonance frequencies ; Scattered field ; Sound fields ; State of stress ; Stiffness coefficients ; T-matrix ; Three dimensional scattering ; Time-harmonic ; Transfer matrixes ; Transmission coefficients ; Variable coefficients ; Wave-function expansion ; Whispering gallery waves ; Acoustic fields ; Acoustic spectroscopy ; Air ; Composite films ; Debonding ; Fluid dynamics ; Resonance ; Shells (structures) ; Stiffness ; Surface waves ; Three dimensional ; Transfer matrix method ; Water waves ; Wave functions ; Acoustic wave scattering ; Adhesion ; Article ; Chemical model ; Materials ; Methodology ; Radiation scattering ; Young modulus ; Acoustics ; Adhesiveness ; Cementation ; Computer simulation ; Elastic modulus ; Manufactured materials ; Materials testing ; Models, chemical ; Scattering, radiation
  7. Source: Ultrasonics ; Volume 49, Issue 8 , 2009 , Pages 682-695 ; 0041624X (ISSN)
  8. URL: https://www.sciencedirect.com/science/article/pii/S0041624X09000626