Multi-constraint dimensional synthesis and filtering method for 5-SS/SPS morphing linkages of aircraft

Abstract

Morphing aircraft represent a critical direction in the development of future aerospace transportation systems. Morphing mechanisms have become a prominent research focus. Developing synthesis methods for such mechanisms holds significant value for guiding future design and application efforts. This paper proposes a multi-constraint dimensional synthesis and filtering method for the 5-SS/SPS morphing linkage of aircraft. First, the moving and fixed solution curves of the linkage are derived, and principles for selecting appropriate solution curves are built. A defect determination method is proposed, incorporating the derivation of the Jacobian matrix, position analysis, and determination of motion continuity to eliminate defective linkages. Secondly, this paper also creatively presents linkage synthesis method satisfying multiple geometric constraints, and derives mathematical expressions satisfying coplanar, cospherical and concyclic geometric constraints of fixed or moving platform, and obtains the discriminants based on the condition that the linear equation set has a solution. A solution region synthesis method is introduced to visualize the synthesized linkages, and the synthesis process under various constraints is presented. Finally, illustrative examples are conducted to validate the correctness of the derived formulas and the effectiveness of the proposed synthesis method, demonstrating the application potential of the morphing linkage in morphing aircraft. The proposed method provides a valuable reference for the synthesis of aircraft morphing linkages under various constraints.

Graphical abstract

Keywords

synthesis method / $ 5 $-SS/SPS linkage / defect determination / geometric constraints / aircraft morphing linkage

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