Response of almost periodic structures

Periodic structures are defined as structures consisting of identical substructures connected to each other in identical manner. If the system parameters differ slightly from one substructure to another, then the structure becomes almost-periodic. An efficient method using a perturbation technique to derive the response of an almost-periodic structure is presented. The procedure reduces the solution to a sequential application of the basic algorithm for periodic structures developed by these authors. The method retains all the advantages of the method for periodic structures and reduces to it when the system parameters become identical for each substructure.