Validation of new equations for dynamic analyses of tall frame‐type structures

The accuracy of the new equations for long frame‐type structures, derived by Kerr and Zarembski, and extended recently by Kerr and Accorsi also to dynamic analyses, is investigated. At first, the natural frequencies of a tall frame‐type structure, with twenty floors, are determined using the new equations, and then they are compared with the corresponding results calculated using the finite element method and the common shear‐building analysis. The found agreement with the finite element analysis is close. To check further the accuracy of the new equations, small scale models are tested on a shake table. The natural frequencies recorded in the tests are then compared with those determined from the new equations, for a wide range of geometrical parameters. The agreement with the test data is good. The presented study indicates that the new equations are well suited for analyzing the dynamic response of tall frame‐type structures.