On the starting point in designing Kresling origami

摘要

Kresling is one of the most well-known and widely-used origami patterns. Its outstanding features, such as deployability, testability, and coupled extensional-rotational motion, have attracted considerable attention from many engineering applications, including aerospace structures. In this research, three approaches for the geometrical design of Kresling modules are investigated and their capabilities are compared. The first two approaches are based on the quasi-static analysis. The third one is an analytical approach focusing on the frequently-used type of Kresling module with two zero-energy stable states. Moreover, based on the number of stable configurations, the amount of potential energy, and the height of the module in the stable state (in monostable cases), Kresling modules are categorized into six groups. According to this classification, design maps are represented for these approaches. Parametric studies are also conducted to clarify the effects of the influencing parameters on the general mechanical behavior of the Kresling modules. Due to the exploiting dimensionless parameters, the presented results are highly useful in the preliminary design of the Kresling origami for applications requiring lightweight and deployable structures.