Citation: | Li B H, Luo J, Qiu M Y, et al. Design technology of the truss support structure of the ultra-low thermal deformation gravitational wave detection telescope[J]. Opto-Electron Eng, 2023, 50(11): 230155. doi: 10.12086/oee.2023.230155 |
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At the current stage, gravitational wave telescopes have stringent requirements for thermal deformation stability. Due to limitations in manufacturing processes and material properties, it is necessary to optimize the CFRP material and structural configuration to achieve the desired design. Based on the current progress in gravitational wave telescope design and the level of manufacturing processes, combined with a comparative analysis with advanced space-based telescopes domestically and internationally, it is deemed reasonable to set the thermal deformation design target for the support structure at α<1.0×10−7 /K. This paper primarily focuses on the following research aspects: 1) In order to reduce the overall thermal deformation of the structure to below 1×10−7 /K, it is necessary to ensure that the thermal expansion coefficient of the truss material meets this requirement. Therefore, the CFRP material layering scheme is optimized to reduce its longitudinal thermal expansion coefficient to below 1×10−7 /K, which is then used for the axial direction of the truss rods. 2) Provide a structural optimization scheme to observe whether the structure can meet the requirements of ΔT=10 K conditions for the relative rigid-body displacement between the primary and secondary mirrors, ensuring dz < 10 μm and dy < 5 μm. Additionally, check if weight, modal properties, gravitational unloading, and other aspects meet the standards. 3) Building upon this, discuss whether the use of CFRP material meeting the 1×10−7 /K level can satisfy the structural stability requirements after being incorporated into the structure as truss material. 4) Compare the advantages and design potential of CFRP with conventional telescope truss materials. Therefore, the paper first analyzes the advantages of CFRP, existing methods of thermal dissipation, and research progress both domestically and internationally. It establishes a design scheme for a three-rod telescope with CFRP as the support material and proposes design criteria. Mathematical models are then developed to describe the relationship between material properties and thermal deformation as well as truss structure thermal deformation. Optimization is performed on material layering and structural design, and an optimized solution is provided. Finally, CFRP material is applied to the support structure, a segmented main support structure design is presented to reduce manufacturing and alignment difficulties, and an overall structural analysis is conducted. The analysis results demonstrate that, in terms of mechanical performance, the truss structure has a weight of 6.7 kg and a fundamental frequency of 122.61 Hz. In terms of thermal deformation, the optimized design based on CFRP layering exhibits a thermal deformation that is 27.15% of the conventional layering scheme, 6.42% of the Invar material support rod scheme, 11.50% of the SiC support rod scheme, and 3.21% of the titanium alloy support rod scheme. This indicates that the optimized design can significantly reduce the structural thermal deformation.
Single-layer CFRP schematic diagram. Direction 1 corresponds to the in-plane fiber direction referred to as the longitudinal direction;Direction 2 is perpendicular to direction 1 within the plane referred to as the transverse direction
Laminate composite material schematic diagram
Three-stage design of the TianQin telescope: 1) Main load-bearing plate; 2) Three main support rods; 3) Sub-mirror support adjustment backplate
Replaceable telescope CFRP support tube joint
Geometric model of the support structure
Finite element simulation of thermal expansion of CFRP material — taking laying method 6 as an example
Main support structure model and coordinate system
Solid model (left); truss structure model (middle); theoretical model (right)
Solid simulation and truss simulation result — example of thermal deformation in the dz direction
Optimization results for structural thermal deformations
First mode: oscillation along the Y direction, 122.61 Hz
Second mode: oscillation along the X direction, 128.47 Hz
Element analysis of thermal deformation of truss support structure — example with layer 1
Taking 50 μK temperature noise as an example
The relative thermal deformation in the M1-M2 separation direction is 12 pm/