Abstract
The eigenfrequencies of a semi-infinite cascade of mass-spring systems with variable boundary mass are studied. The investigation shows that real eigenfrequencies only occur for a boundary mass equal to or smaller than half the mass of the bodies in the cascade. For values of the boundary mass between a half mass and a full mass the cascade shows to have no eigenfrequencies. For a boundary mass larger than the internal masses only imaginary eigenfrequencies are present. Frequency-response functions for the different cases are derived. Some simplified models for the semi-infinite system are given and a comparison is made with the dynamic behaviour of continuous systems.
| Original language | English |
|---|---|
| Pages (from-to) | 232-235 |
| Number of pages | 4 |
| Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Volume | 77 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Dec 1997 |
| Externally published | Yes |