# Study Materials

## Dynamic Analysis

The problem of a cantilever beam was explored in class during Session #19. The following materials give more details about the analysis and the 6 modes corresponding to the lowest 6 frequencies. If images/text are blurry, please zoom in.

Dynamic analysis of a cantilever beam (PDF)

## Animations

Mode 1 (AVI)

Mode 2 (AVI)

Mode 3 (AVI)

Mode 4 (AVI)

Mode 5 (AVI)

Mode 6 (AVI)

## Multiple Frequencies

The natural frequencies of a cube were investigated using ADINA, and the results checked against theory. (PDF)

## Video Lectures

Finite Element Procedures for Solids and Structures presents two video courses by Prof. Bathe, recommended for further study on the topics of linear and nonlinear finite element analysis.