Date of Award
Thesis - Restricted
Master of Science (MS)
Nigro, N. J.
It is difficult to find a unique solution to the equations of elasticity, and the boundary conditions for elastic wave propagation in bars composed of anisotropic materials. This fact is verified by the lack of such solutions in the literature. Researchers have therefore resorted to approximate theories as a general method of analysis. This thesis presents such a method. The equations of elasticity for flexural wave propagation in anisotropic bars of rectangular cross-section and infinite length are derived from Hamilton's Principle. A solution is obtained by employing the Ritz Method, and typical results are presented in the form of tables and dispersion curves Accuracy of solution is verified by using the Ritz Method to solve the above problem for isotropic bars, and comparing the results with exact theory.
Andrews, Richard Allen, "The Application of the Ritz Method to Steady State, Flexural Wave Propagation in Anisotropic Bars of Rectangular Cross-Section" (1969). Master's Theses (1922-2009) Access restricted to Marquette Campus. 3862.