Veryaskin Alexey V, Meyer Thomas J
Trinity Research Labs, School of Physics, Mathematics and Computing, University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia.
Quantum Technologies and Dark Matter Research Laboratory (QDM Lab), Department of Physics, University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia.
Sci Rep. 2022 May 4;12(1):7215. doi: 10.1038/s41598-022-11232-6.
The first analytical evaluation of a free-hinged-hinged-hinged-free beam proposed for use as the primary sensing element of a new gravity gradiometer is presented. Results of the evaluation obtained in quadratures are applied to the beam's structure, including locating the hinges that form the beam's boundary conditions allowing only free rotations around its nodal axes. These are deliberately chosen to minimize the beam's symmetric free ends deflections under the uniform body loading of gravity while simultaneously permitting the beam's maximum possible mirror-symmetric free ends deflections owing to a gravity gradient distributed along its length. The flexible triple-hinged beam deformation from its nominal unloaded geometry is naturally elastically coupled throughout, including free ends, allowing synchronized mechanical displacement measurements at any deflection point. Some methods of manufacturing such sensing elements and their respective error mechanisms are also discussed and presented for the first time.
首次对一种提议用作新型重力梯度仪主要传感元件的自由-铰接-铰接-铰接-自由梁进行了分析评估。通过正交得到的评估结果应用于梁的结构，包括确定形成梁边界条件的铰链位置，这些边界条件仅允许围绕其节点轴自由旋转。特意选择这些条件是为了在重力均匀体载荷下使梁的对称自由端挠度最小化，同时由于沿其长度分布的重力梯度允许梁的自由端有最大可能的镜面对称挠度。柔性三铰梁从其标称未加载几何形状的变形在整个梁中自然地弹性耦合，包括自由端，从而允许在任何挠度点进行同步机械位移测量。还首次讨论并介绍了制造这种传感元件的一些方法及其各自的误差机制。
