Article ID Journal Published Year Pages File Type
7174648 International Journal of Non-Linear Mechanics 2014 17 Pages PDF
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
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