Snap-through Bifurcation Analysis of Compliant Bistable Structures

doi:10.3901/JME.2019.05.074

Abstract

Abstract: The discontinuity of the force-displacement curve (also named sharp point) and multiple snap-through pathways significantly affect the engineering practicability of compliant bistable structures. Hence, the snap-through controlling equation for compliant bistable structures is established according to the large deflection finite element theory. By using the multistep displacement loading method, the possible buckling modes and their transforming procedure are numerically obtained, which interprets reasonably the discontinuity of the force curve. Furthermore, the influence of the structure parameters on the sharp point and snap-through pathway is numerically analyzed, and meanwhile, the structural quality factor is introduced to judge the occurrence of the sharp point. Finally, the bistability design method for achieving stable bistable mechanics with single snapping pathway is proposed. For further validation, a thermal formed bistable beam structure with quasi-cosine shape is manufactured, and the simulated mode transforming process is nearly consistent with that from experiments considering the influences of residual stress, clamping status and loading conditions, thus providing a theoretical basis to design and control the bistable snapping characteristics of compliant structures.

Key words: bistability, buckling mode, quality factor, sharp point, snap-through

CLC Number:

TG156

ZHAO Jian, CHENG Kai, GAO Renjing, HUANG Yu, LIU Pengbo. Snap-through Bifurcation Analysis of Compliant Bistable Structures[J]. Journal of Mechanical Engineering, 2019, 55(5): 74-81.

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