Theses and Dissertations - UTB/UTPA

Date of Award


Document Type


Degree Name

Master of Science (MS)


Mechanical Engineering

First Advisor

Dr. Arnold Lumsdaine

Second Advisor

Dr. Ying X. Yao

Third Advisor

Dr. Robert A. Freeman


In this study, the objective is to determine the natural frequency of an Euler-Bernoulli beam with an intermediate mass and inertial component. The beam is studied with fixed and relaxed end conditions. The beam is also modeled with an intermediate support. The models are then compared with an approximate closed form solution for the natural frequency. Results show that the closed form equation is within 2% percent when compared to the exact natural frequency equation.

The beam is modeled with a finite element software. The goal is to minimize the weight of a beam structure subject to harmonic excitation. Results show that the total mass after optimization had a mass reduction of 91% when compared to the original weight.


Copyright 2000 Arnoldo Garcia. All Rights Reserved.

Granting Institution

University of Texas-Pan American