Kinetic and kinematics analysis of a deployable structure

Abstract

Deployable mechanisms are increasingly utilized in modern engineering applications due to their flexible operation, compact structure, and high efficiency in both working and transportation states. These mechanisms are widely applied in deployable systems, portable devices, and reconfigurable structures, where space-saving and adaptability are essential. However, research and systematic evaluation of such systems remain limited, and the underlying mechanical behaviors have not yet received adequate attention from the scientific community. This study employs the closed-loop vector method to analyze the kinematic and dynamic characteristics of a representative deployable structure. By analyzing the geometric relationships of the component frames, a complete set of equations describing the operation of the mechanism is established. The kinematic characteristics and reaction forces acting on the frames, as well as the cylinder thrust force, are also derived and expressed as parametric functions, enabling accurate determination of the displacement of the component links, as well as the driving force required for folding and unfolding operations. To verify the analytical model, the results are compared with simulations conducted using the Working Model software. The comparison demonstrates the reliability and accuracy of the proposed method in analyzing complex planar linkage systems. It not only confirms the viability of the closed-loop vector approach for modeling deployable mechanisms but also highlights the potential of using simple planar linkages to develop deployable and compact mechanical systems for various applications.