Dynamic Response of a Solid Bar of Cardioidal Cross-Sections Immersed in an Inviscid Fluid

Authors

R. Selvamani, Department of Mathematics, Karunya University, Coimbatore, Tamil Nadu, IndiaFollow
P. Ponnusamy

Author Country (or Countries)

India

Abstract

The dynamic response of a homogeneous transversely isotropic solid bar of cardioidal cross-section immersed in a fluid is studied using the Fourier expansion collocation method (FECM), within the framework of the linearized three-dimensional theory of elasticity. The equations of motion of solid and fluid are respectively formulated using the constitutive equations of a transversely isotropic cylinder and the constitutive equations of an inviscid fluid. Three wave potential functions are introduced to uncouple the equations of motion. The frequency equations of longitudinal and flexural (symmetric and antisymmetric) modes are analyzed numerically for a cardioidal cross-sectional transversely isotropic solid bar immersed in a fluid. The computed non-dimensional frequencies are presented in the form of dispersion curves for the material Zinc.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080628

Recommended Citation

Selvamani, R. and Ponnusamy, P. (2014) "Dynamic Response of a Solid Bar of Cardioidal Cross-Sections Immersed in an Inviscid Fluid," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 28.
DOI: http://dx.doi.org/10.12785/amis/080628
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/28