Abstract
This paper presents the exact dynamic stiffness matrix for a circular beam with a uniform cross-section. The stiffness matrix is frequency dependent, and the natural frequencies are those that cause the matrix to become singular. Using this matrix the exact natural frequencies of circular beams with various boundary conditions are calculated and compared with available results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1221-1234 |
| Number of pages | 14 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 52 |
| Issue number | 11 |
| DOIs | |
| State | Published - 20 Dec 2001 |
| Externally published | Yes |
Keywords
- Curved beam
- Dynamic stiffness
- Natural frequency
- Shear deformation
- Vibration