Bi-stable lateral buckled beam: quasi-static snap-through behaviour analysis

Abstract

A cantilever beam with lateral buckled deformation performs bi-stable characteristic. The snapping mechanism between its two stable configurations can be triggered when applying displacement or angle on the free end. In this paper, an analytical model based on the modal superposition method is established to investigate the snap-through behaviour. A spring with stiffness k introduced in the analytical model ensures the quasi-static loading, bringing about the accurate snapping response. In addition, the initial lateral buckling of the cantilever beams and the snap-through behaviour of the lateral buckled beams are simulated using the FE method. The theoretical and numerical results are then validated on specially designed and built apparatus. Geometric parameters analysis indicates that the theoretical model is more accurate in predicating the snapping responses of bi-stable lateral buckled beams with slender features. Understanding the mechanics of snap-through behaviour is important for designing novel lateral buckled beams with target shapes and functions.