Dynamic Analysis of a Large Deployable Space Truss Structure Considering Semi-Rigid Joints
Abstract
:1. Introduction
2. Problem Description
3. Model Establishment of Truss Structure
3.1. Connection Element of Semi-Rigid Joints
3.2. VFIFE Model for Beams
3.3. Solution Procedure
4. Results and Discussion
4.1. Method Validation
4.1.1. Geometrically Nonlinear Analysis of Column with Semi-Rigid Connection
4.1.2. Snap-through Analysis of William’s Toggle Frame
4.1.3. Static and Dynamic Response of a Clamped-Clamped Beam
4.2. Influence of Semi-Rigid Joints on Dynamics of Deployable Structures
4.2.1. Effects of Linear Joint Stiffness
- Case 1: Effects on structural bending stiffness
- 2.
- Case 2: Effects on natural frequencies
- 3.
- Case 3: Effects on the dynamic response
4.2.2. Effects of Nonlinear Joint Stiffness
4.2.3. Effects of the Size of Deployable Structure
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Component | Parameter | Value |
---|---|---|
Transverse beam | Length L1 (m) | 1 |
Outer diameter d1 (m) | 0.04 | |
Thickness δ1 (m) | 0.003 | |
Young’s modulus E1 (Pa) | 6.8 × 1010 | |
Poisson ratio μ1 | 0.3 | |
Density ρ1 (kg/m3) | 2500 | |
Diagonal beam | Length L2 (m) | 1.414 |
Outer diameter d2 (m) | 0.04 | |
Thickness δ2 (m) | 0.003 | |
Young’s modulus E2 (Pa) | 6.8 × 1010 | |
Poisson ratio μ2 | 0.3 | |
Density ρ2 (kg/m3) | 2500 | |
Semi-rigid joints | Equivalent mass m1 (kg) | 0.1392 |
Rigid joints | Equivalent mass m2 (kg) | 0.1927 |
Length (m) | Rigid | Sr = 100 EI/L | Sr = 10 EI/L | Ramberg–Osgood Model | |||
---|---|---|---|---|---|---|---|
Result | Result | Diff (%) | Result | Diff (%) | Result | Diff (%) | |
10 | 18,184.1 | 18,075.2 | −0.599 | 17,436.1 | −4.113 | 16,628.7 | −8.554 |
16 | 18,022.8 | 17,924.9 | −0.543 | 17,285.9 | −4.089 | 16,490.8 | −8.500 |
22 | 17,869.6 | 17,763.8 | −0.592 | 17,149.7 | −4.029 | 16,360.2 | −8.447 |
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Yao, H.; Huang, Y.; Ma, W.; Liang, L.; Zhao, Y. Dynamic Analysis of a Large Deployable Space Truss Structure Considering Semi-Rigid Joints. Aerospace 2023, 10, 821. https://doi.org/10.3390/aerospace10090821
Yao H, Huang Y, Ma W, Liang L, Zhao Y. Dynamic Analysis of a Large Deployable Space Truss Structure Considering Semi-Rigid Joints. Aerospace. 2023; 10(9):821. https://doi.org/10.3390/aerospace10090821
Chicago/Turabian StyleYao, Huaibo, Yixin Huang, Wenlai Ma, Lei Liang, and Yang Zhao. 2023. "Dynamic Analysis of a Large Deployable Space Truss Structure Considering Semi-Rigid Joints" Aerospace 10, no. 9: 821. https://doi.org/10.3390/aerospace10090821