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Free Localized Vibrations of a Thin Elastic Composite Panel

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Mechanics of High-Contrast Elastic Solids

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 187))

Abstract

Free boundary and interfacial vibrations of a composite cylindrical panel with free edges comprised of two finite orthotropic thin cylindrical panels with different elastic properties and full contact along the generators are studied. Starting from the formulation of the classical theory of orthotropic cylindrical shells, dispersion relations and asymptotic approximations for eigenfrequencies of interfacial and boundary vibrations of such composite cylindrical panels are derived. An algorithm for separating the interfacial and boundary vibrations is presented. Asymptotic connections between the dispersion relations of the problem at hand and the analogous problems for a composite rectangular plate are established. Examples of cylindrical panel with different widths of constituents are considered, and approximate values of dimensionless eigenfrequencies are obtained.

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Author information

Authors and Affiliations

  1. Armenian State Pedagogical University, Yerevan, Armenia

    Gurgen Ghulghazaryan & Lusine Ghulghazaryan

  2. Institute of Mechanics of NAS RA, Yerevan, Armenia

    Lusine Ghulghazaryan

Authors
  1. Gurgen Ghulghazaryan
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  2. Lusine Ghulghazaryan
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Corresponding author

Correspondence to Gurgen Ghulghazaryan .

Editor information

Editors and Affiliations

  1. Fakultät für Maschinenbau, Otto-von-Guericke-Universität, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. School of Computing and Mathematics, Keele University, Keele, Staffordshire, UK

    Danila Prikazchikov

  3. Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, Modena, Italy

    Andrea Nobili

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Ghulghazaryan, G., Ghulghazaryan, L. (2023). Free Localized Vibrations of a Thin Elastic Composite Panel. In: Altenbach, H., Prikazchikov, D., Nobili, A. (eds) Mechanics of High-Contrast Elastic Solids. Advanced Structured Materials, vol 187. Springer, Cham. https://doi.org/10.1007/978-3-031-24141-3_7

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