张拉整体式伸展臂结构设计与刚度分析

doi:10.7527/S1000-6893.2023.28584

Abstract

Abstract:

To meet the needs of aerospace engineering for space deployable mast， two types of space deployable masts were designed by taking advantage of the characteristics of tensegrity structure： light weight， adjustable stiffness， good stability and easy folding. Firstly， based on the ground structure method and mixed integer linear programming method， the topology form-finding of the deployable tensegrity mast structure element was performed to obtain various element configurations. Then， using the modified Maxwell's criterion and singular value decomposition method of structural equilibrium matrix， the stability assessment and stiffness comparison of each element configuration were completed， from which two element configurations were preferred. Combining these two element configurations with the modular design idea， two types of deployable tensegrity masts were obtained separately through axial topology. Finally， the finite element model of the deployable tensegrity mast was established， and the influence of prestress level， constraint mode and cross-sectional area of the cable members on the bending stiffness of the deployable mast was analyzed and discussed， as well as the relationship between the stiffness of the two types of deployable masts under different circumstances. The research results provide a selection scheme for the deployable tensegrity mast and offer some theoretical support for enhancing the bearing capacity of the deployable mast.

Key words: tensegrity, deployable mast, ground structure, topology form-finding, stability, stiffness

CLC Number:

V414.1

Jing ZHANG, Kai GUO, Hongwei GUO, Rongqiang LIU, Ziming KOU. Structural design and stiffness analysis of deployable tensegrity mast[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(24): 228584.

Figures/Tables 27

Fig.1

Fig.2

Fig.4

Fig.5

Fig.6

Fig.7

Fig.3

Table 1

Table 2

Configuration stability and stiffness parameter information of each element

单元序号	自应力模态数n_s	机构位移模态数n_m	$K$ 的最小特征值
1	2	0	1.272
2	2	0	1.166
3	1	1	0.969
4	1	3	0.297
5	3	0	4.191
6	3	1	0.556

Table 2

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Table 3

Fig.14

Fig.15

Fig.16

Fig.17

Table 4

Fig.18

Fig.19

Fig.20

Fig.21

Table 5

Table 6

References 29

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单元构型序号	杆的数量	索的数量	自应力模态数n_s	自平衡性
1	4	14	0	是
2	4	14	0	是
3	4	16	2	是
4	4	14	0	是
5	4	16	2	是
6	4	16	2	是

属性类别	杆	索
构件单元类型	Link180	Link180
横截面积/mm²	703.72	58.09
初始预应变	0	0.000 5
弹性模量/GPa	206	185
泊松比	0.3	0.3
设计强度/MPa	310	1 260

类型	SN伸展臂弯曲刚度/（10⁶ N·m²）	SS伸展臂弯曲刚度/（10⁶ N·m²）
0.05%	1.600 50	1.661 93
0.10%	1.997 42	2.596 46
0.15%	2.004 37	2.604 21
0.20%	2.011 38	2.612 13
0.25%	2.018 46	2.620 17
0.50%	2.054 56	2.661 63

类型	SN伸展臂弯曲刚度/（10⁶ N·m²）	SS伸展臂弯曲刚度/（10⁶ N·m²）
0.05%	1.609 70	1.654 75
0.10%	2.036 80	2.663 36
0.15%	2.039 53	2.664 29
0.20%	2.042 29	2.665 21
0.25%	2.045 05	2.666 24
0.50%	2.059 01	2.671 74

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Structural design and stiffness analysis of deployable tensegrity mast

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