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Propagation of Harmonic Waves in an Elastic Rod of Elliptical Cross-Section


Wong, Po Kee (1966) Propagation of Harmonic Waves in an Elastic Rod of Elliptical Cross-Section. Engineer's thesis, California Institute of Technology. doi:10.7907/CX6S-JQ42.


Using the potential equations of motion of linear elasticity, the propagation of harmonic waves in an infinite rod of elliptical cross-section is investigated. The frequency equations for the propagation of flexural waves in rods with (i) zero surface displacements, and (ii) zero surface stresses are obtained in the form of infinite determinants, the elements of which involve Mathieu functions and their derivatives. It is shown that these determinants can be written in diagonal form when the eccentricity goes to zero and in the light of this possible numerical procedures are discussed for small values of the eccentricity.

Item Type:Thesis (Engineer's thesis)
Subject Keywords:(Mechanical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Mechanical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Miklowitz, Julius (advisor)
  • Caughey, Thomas Kirk (co-advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:22 September 1965
Record Number:CaltechETD:etd-09232002-145548
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3715
Deposited By: Imported from ETD-db
Deposited On:24 Sep 2002
Last Modified:27 Feb 2024 18:56

Thesis Files

PDF (Wong_p_k_1966.pdf) - Final Version
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