Deform-X Flexible Hinge Design and Analysis_Hinge Knowledge

Abstract: This article presents the design and analysis of a Deform-X flexible hinge. The equivalent stiffness of the hinge is determined using calculus, and a theoretical calculation formula for the bending-torsion coupling equivalent stiffness is derived. The correctness of the formula is verified through theoretical analysis and ABAQUS simulation. A comparison and analysis of performance is conducted between the X-type flexible hinge and the Deform-X flexible hinge. It is found that the bending deformation angle of the Deform-X hinge is three times greater than that of the X-type hinge under the same torque. Failure analysis reveals that the usable range of the Deform-X hinge is greater. A physical model of a planar folding four-bar mechanism based on the Deform-X hinge is designed and tested, demonstrating the expected deformation capability. Finally, the deformation of a four-bar mechanism based on the X-type hinge is compared to that of the Deform-X hinge under the same moment, revealing that the deformation of the latter is larger.

A flexible mechanism is a mechanism that utilizes the elastic deformation of flexible components to achieve force or motion. The design of flexible mechanisms is often more challenging compared to rigid mechanisms due to the limited deformation range. The planar folding mechanism (Laminaemergentmechanisms, LEMs) is advantageous as it can realize three-dimensional movement through two-dimensional thin plate plane processing. It combines characteristics of orthogonal mechanisms, metamorphic mechanisms, and flexible mechanisms. The key factor in utilizing LEMs is the design of flexible hinges, which involves dimensions, boundary conditions, and material properties. Previous studies have proposed theoretical formulas and designed different types of flexible hinges for LEMs. However, this article focuses on the design of a Deform-X flexible hinge, analyzes its bending-torsion coupling segment, derives a theoretical calculation formula for its equivalent stiffness, and conducts bending performance and failure analysis. A physical model of a planar folding four-bar mechanism based on the Deform-X hinge is also designed and tested.

1. Deform-X flexible hinge design:

Based on the concept of mixed tension resistant (MTR) flexible hinges proposed in previous literature, the Deform-X flexible hinge is designed