This work represents the first stage of the study of the dynamic behavior of structural systems constituted of columns and beams simply superimposed without any tension link. The problem is faced starting from the behavior of a column formed by one or more blocks and adapting then the procedure to the case of a series of columns with a stone rigid beam superimposed, to idealize the structure of ancient temple-like buildings. The dynamic equations of the system are solved step by step by a direct integration method based on Newmark technique, and furnishes, starting from the displacement, the inertia forces by successive iterations. -- AATA