| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 304327 | Soil Dynamics and Earthquake Engineering | 2013 | 6 Pages |
A new expression for a lower bound for the fundamental natural frequency of a structure is presented and its relationship with Dunkerley's formula is examined. A related improved estimate for the fundamental frequency is also obtained and applied to obtain an approximate expression for the fundamental frequency of a soil–structure system including a 1-DOF structure, a flat rigid foundation, and an elastic soil. The resulting approximation is then compared with the now standard result first obtained by Jennings and Bielak [6]
► A new expression for a lower bound fundamental natural frequency of a structure is presented. ► Its relationship with Dunkerley's formula is examined. ► A related improved estimate for the fundamental frequency is also obtained. ► An approximate fundamental frequency expression of a 1-DOF SSI system is obtained. ► The approximation is compared with the now standard result first obtained by Jennings and Bielak.
