公共约束一系可展开天线四棱锥结构构形综合

Configuration Synthesis of Spatial Rectangular Pyramid Deployable Antenna with Common Constraint of First-Order Screw System

摘要: 过约束可展开单元的构型综合需要配置各个运动轴线间的相对位姿，采用可展开单元拓扑结构分析和设计的三步法，并不足以综合出含过约束的可展开单元。在可展开单元拓扑结构描述的基础上，基于螺旋理论开展对过约束可展开单元构型综合方法的研究，分析了可展开四棱锥单元可能的过约束情况，并给出其旋量表示。基于该方法，对可收拢到平面状态的四棱锥可展机构公共约束为螺旋一系的情况进行了系统的综合，进而提出一系列的四棱锥过约束可展开单元。通过ADAMS动力学仿真验证了这些可展开单元按照指定自由度进行折展运动的可行性。

Abstract: Structural synthesis of the overconstrained deployable unit needs to be allocated relative position and orientation of each kinematic axes, and three-step method of topological structural analysis and design for the deployable unit cannot synthesize the overconstrained deployable units. Based on the topology structural description of the deployable units and screw theory, structural synthesis method of the overconstrained deployable unit is investigated. Based on this method, the rectangular pyramid deployable units which can be folded to plane are synthesized systemically and get a series of rectangular pyramid overconstrained deployable units. Feasibility of folding and deploying motion under a certain degree of freedom for these deployable units is verified by dynamical simulation using ADAMS.