Compliant Stepped-Beam Analysis for Deployable Space Structures With Flexible Panels

Abstract Deployable space structures that incorporate thin, flexible solar cells allow for innovative designs that are capable of high stowing efficiency. The purpose of this work is to present compliant stepped-beam analysis approaches that apply to deployable space structures with flexible panels connected with thin sheets and determine their deflection as a function of their material properties, geometry, and applied moments. Related methods are described. An analytical model and finite element analysis are compared and validated with a physical model. The end angle, coordinates, and radius of curvature of each segment are calculated and the results are compared. Beam thicknesses can be adjusted to increase curvature to intended sections of the beam. The approach is then applied in the preliminary design of a z-fold used as a deployable space array. The compliant-stepped beam deflected in a z-fold pattern provides designers with a straightforward model to analyze the position and curvature of a deployable array and tailor it to meet design requirements. Percent differences of each analysis are presented and discussed. The analytical model agrees well with FEA and physical solution results. Case assumptions are described and validated. Potential for future work related to large deflections of flexible-panel deployable space structures is described.