Abstract

Reduced order models facilitate initial design space investigations and enable assessing the benefits of compliant structures for shape adaptability. This work presents a simple model to determine the flexural rigidity of a beam-like, multistable metastructure utilized as a spar in a hybrid spanwise morphing wing. The model considers the metabeam as a homogeneous 3D beam structure with an equivalent flexural and torsional rigidities. The analytical model's validity is established by comparing the obtained static and dynamic responses to finite element simulations. A closed form expression of the flexural rigidity is then given, drawing from the multistable honeycomb's material properties and the metabeam's geometry. The model's limitations are addressed by examining several special cases of the metabeam's morphed configurations and a more complex metabeam structure.

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