Contact Dynamics of Masonry Block Structures Using Mathematical Programming |
| |
Authors: | Francesco Portioli Lucrezia Cascini |
| |
Institution: | Department of Structures for Engineering and Architecture, University of Naples Federico II, Naples, Italy |
| |
Abstract: | A simple variational formulation for contact dynamics is adopted to investigate the dynamic behavior of planar masonry block structures subjected to seismic events. The numerical model is a two-dimensional assemblage of rigid blocks interacting at potential contact points located at the vertices of the interfaces. A no-tension and associative frictional behavior with infinite compressive strength is considered for joints. The dynamic contact problem is formulated as a quadratic programming problem (QP) and an iterative procedure is implemented for time integration. Applications to analytical and numerical case studies are presented for validation. Comparisons with the experimental results of a masonry wall under free rocking motion and of a small scale panel with opening subjected to in-plane loads are also carried out to evaluate the accuracy and the computational efficiency of the formulation adopted. |
| |
Keywords: | Masonry Block Structures Contact Dynamics Two-Dimensional Rigid Body Assemblages No-tension Frictional Contact Mathematical Programming Rocking Behavior |
|