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为了构建小型化全张量重力梯度测量系统,提出一种轴向分量与交叉分量同时敏感的基于超导的重力梯度敏感结构。基于螺旋理论分析两分量敏感结构的自由度,利用自由空间的运动螺旋系与互逆原理得到约束螺旋系,进一步得到具有冗余约束的对称约束构型,并选择柔性元件构建并联机构形式的两分量敏感结构,利用柔性虎克铰的横向与竖向柔性铰链实现等效球铰的功能。然后分析转臂质量沿轴移动与绕轴转动时柔性元件的变形,根据几何关系与功能定理得出两分量敏感结构的沿轴移动刚度与绕轴转动刚度。通过实际参数的计算,明确了各参数对结构刚度的影响,仿真结果验证了分析过程的准确性。
In order to construct a miniaturized total tensor gravity gradient measurement system, a superconducting gravity-gradient-sensitive structure with simultaneous axial and cross-component sensitivity is proposed. The degree of freedom of two-component sensitive structures is analyzed based on the theory of helix. The constrained spiral system is obtained by using the free-space moving spiral system and the reciprocal principle. The symmetrical constrained configuration with redundant constraints is further obtained. Two flexible components are selected to form two parallel structures Component Sensitive Structure, Equivalent Ball Hinge Function Using Horizontal and Vertical Flexible Hinges for Flexible Hooke Hinges. Then the deformation of the flexible element along the axis and around the axis is analyzed. According to the geometric and functional theory, the moving stiffness along the axis and the rotational stiffness around the axis of the two-component sensitive structure are obtained. Through the calculation of the actual parameters, the influence of each parameter on the structural rigidity is clarified, and the simulation results verify the accuracy of the analysis process.