Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7174648 | International Journal of Non-Linear Mechanics | 2014 | 17 Pages |
Abstract
Design of large span roof structures requires an analysis of static and dynamic behavior of shallow arches under various loads. In this paper the exact solution is established when the initial shape and the load are given by a linear combination of sinusoidal functions. The load is assumed to be time-independent. Then, the asymptotic stability of the arch is analyzed. For the one-dimensional solutions the arch is shown to have at most three equilibria. The arch motion exhibits a snap-through motion. In the two-dimensional case the location and the stability of equilibria is established under various conditions on the load-free shape, and the load parameters. An interesting phenomenon of a zigzag pattern of the critical pairs is discovered and studied numerically.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Junhong Ha, Semion Gutman, Sudeok Shon, Seungjae Lee,