Vibration of Multi-Layer thick cylinders



Free vibration of a laminated multi-layer, thick infinitely long cylindrical structure is presented by adopting the analytical solution for a single-layer cylinder. The solution is achieved by determining the displacements and stresses for each interface and by complying with requirements at the interfaces. A propagator matrix relating the boundary displacements to boundary stresses is developed. Dimensionless natural frequencies and modal loss factors for different circumferential and axial wave numbers are determined. The validity of the proposed method is verified by comparing the results for one-, two-, and three-layer elastic cylinders with properties similar to those reported for an equivalent single layer.


Cylindrical Structure Elastic Cylinder Rigid Body Mode Thickness Mode Propagator Matrix 


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Copyright information

© Springer-Verlag US 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringTennessee State UniversityNashvilleUSA
  2. 2.Department of Mechanical and Automotive Engineering School of Aerospace, Mechanical and Manufacturing EngineeringRMIT UniversityMelbourneAustralia

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