Abstract
A numerical method is discussed for analyzing non-linear dynamic response of columns consisting of stacked block elements. In this report (Part I), a series of columns placed in a vertical plane with boundary structures is considered for the analytical model. Each column is formed by a series of stacked elements constrained by some mechanisms which restrict the relative horizontal and vertical movements but allow the rocking motion between elements. Theoretical equations are derived from the principle of conservation of translational and rotaional momenta for each block motion, furthermore collision theory based on a coefficient of restitution is applied for the horizontal collision between adjacent blocks. By using these a equations, computer code "COLLAN2V" has been developed by selecting appropriate numerical methods through parametric study. To show the feasibility of the code, presented are several simple examples such as frequency response of a 10-stacked column surrounded by walls.
