Analysis of structures convertible to repeated structures using graph products

•Efficient method is presented for analysis of structures convertible to regular forms.•Many non-regular structures are converted to regular forms and analyzed.•For inverting stiffness matrix, results of updated structure are obtained from the previous stage.

In this paper an efficient method is presented for the analysis of those structures which can be converted to regular forms. The stiffness matrix for such regular structures can easily be inverted using their eigenvalues and eigenvectors. Many non-regular structures can be converted to regular forms. Here the presented method solves not only all the regular forms but also non-regular forms convertible to regular ones. The efficiency of the method is more significant when it is used in reanalyzing and rehabilitating structures where the stiffness matrix should be inverted in each step.