Abstract
The possibilities to design expandable-foldable structures on various curvature surfaces are considered in the given paper. The presented geometrical layouts are unfolding structures with closed and open contours. The transformable designs are made by an interconnected set of elementary pantographic structure. The elementary transformable structure consists of two levers connected by a transverse cylindrical joint. The considered designs of transformable structures can be effectively used in space structures, in particular deployable space reflectors, also in ground-based transformable structures.
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