Research Article
Apr 1971
Wave Propagation in Transversely Isotropic, Layered Cylinders
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 2
Abstract
The propagation of infinite trains of symmetric harmonic waves traveling in infinitely long, right circular cylindrical shells is investigated on the basis of the three-dimensional theory of elasticity. The shells are assumed made of three concentric, transversely isotropic cylinders, each of different materials, bonded perfectly at their interfaces. The frequency equation is established by representing the displacement field in each cylinder in terms of potential functions and satisfying the Navier equations of motion and the boundary and interface conditions of the cylinder. The frequency equation has been programmed for numerical evaluation on an IBM 7044/7094 DCS computer, and the influence of the mechanical properties of the layers on the frequencies of the first few modes is investigated.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 2 • April 1971
Pages: 541 - 558
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Apr 1971
Published online: Feb 3, 2021
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Henry E. Keck
Technical Manager, Design Methodology Group, Design Criteria Branch, Air Force Flight Dynamics Lab. (AFSC), Wright-Patterson AFB, Ohio
Anthony E. Armenàkas, M.ASCE
Prof. of Appl. Mech.; Polytechnic Inst. of Brooklyn, Brooklyn, NY
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.