ASOM applied to dynamic analysis

The fundamental mode shape and frequency of structural systems are important quantities in all codes of practice for earthquake resistance design. Computation of these quantities is based on the concept of generalized coordinates and/or Rayleigh's method. In these methods the frequency is computed in terms of a chosen shape so is approximate. The exact result corresponds to the exact shape which is not known in advance. Here the method of analysis of structures by the optimization methods (ASOM) is used to obtain the actual shape and so the exact fundamental frequency and mode shape of structural systems. The maximum frequency and corresponding mode shape is obtained as well. The presented algorithm can be a good complement of codes for analysis of fundamental modes of structures. Copyright © 2006 John Wiley & Sons, Ltd.