Wong, Po Kee (1966) Propagation of harmonic waves in an elastic rod of elliptical cross-section. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09232002-145548
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)|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Major Option:||Mechanical Engineering|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||22 September 1965|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||24 Sep 2002|
|Last Modified:||26 Dec 2012 03:02|
- Final Version
See Usage Policy.
Repository Staff Only: item control page