Optimal Analysis of Regular Structures Using a Substructuring Technique

A structure is regular if its model can be represented as a product graph. Regular structures have certain properties that facilitate their optimal static and free vibration analysis. In this paper the concepts of rotational regular and translational regular structures are introduced, and using the well-known dynamic sub-structuring technique a method is proposed to relate the behavior of a translational regular structure to its rotational regular counterpart. It is shown that using the proposed method the analysis of a translational regular structure can be significantly accelerated compared to a direct method of solution.The efficiency of the proposed method in approximating the requested number of naturalperiods and mode shapes of a translational regular structure is demonstrated throughnumerical examples. The accuracy of the obtained results is compared to otherapproximation methods.