Abstract

This paper presents a new type of 2-DOF single-loop mechanism inspired by the Sarrus mechanism, and it utilizes this mechanism to construct 2-DOF cylindrical deployable mechanisms. First, the motion pattern of the single-loop mechanism is analyzed utilizing screw theory. According to the structural symmetries, the cylindrical deployable mechanisms are constructed through the linear pattern combination and circular pattern combination of the single-loop mechanisms. After the geometrical analysis and interference condition analysis, the axial, circumferential and area magnification ratios are defined and, furthermore, applied to the parameter optimization of the deployable mechanisms, forming an example surface. Finally, a simplified 1-DOF single-loop mechanism is derived from the proposed 2-DOF mechanism, which is used to construct 1-DOF cylindrical deployable mechanisms with singular free workspaces.

Highlights

  • Deployable mechanisms (DMs) are usually constructed by symmetrically assembling similar mechanism units, and they are capable of large configuration changes in specific manners

  • Aside from that, the length of MN and the angle from x0 to xP are selected as the output variables of the DM, which are denoted by h and γ

  • Since the DM is constructed with 2-DOF deployable unit (DU), the linear pattern combination does not change the motion pattern

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Summary

Introduction

Deployable mechanisms (DMs) are usually constructed by symmetrically assembling similar mechanism units, and they are capable of large configuration changes in specific manners. Chen et al [14,15,16] developed a class of single-degree-of-freedom (DOF) DMs utilizing spatial overconstrained mechanisms and the geometry tessellation method. You and Pellegrino [32] conducted geometrical analysis of scissor mechanisms and developed a class of planar and spatial DMs. Zhao et al [33] discussed the design theory of deployable structures based on scissor mechanisms, which can guarantee zero stress during the deployment process. During the deployment of the DU, the links are always in symmetry configurations This symmetry property enables the DU to be used in the construction of large cylindrical DMs through the tessellation method.

The Sarrus Mechanism
The schematic diagram of the
12. Its x00-axis was with the
Coordinate
Kinematics of the 8R Mechanism
Demonstration
A11 BB1111A
A21 A21 A21
Definition of Circumferential and Axial Magnification Ratios
Interference Case I
Interference Case II
Magnification
Magnification Ratio
Optimization of the Magnification Ratio
22 B12one cular arc Aarc
33. Using of thethe approach adopted namely in Section
Conclusions
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