journal article·2024-05-31Open access

Shape Control of a Carbon Fiber-Reinforced Polymer Reflector and Placement Optimization of the Actuators

Ke Wu, Wenhai Yang, Pengbo Liu

Applied Sciences· Volume 14· Issue 11

Abstract

In this study, a method for the active shape control for carbon fiber-reinforced polymer (CFRC) reflectors using piezoelectric lead zirconate titanate (PZT) actuators is proposed. According to this method, a finite element model considering higher transverse shear deformation with independent voltage degrees of freedom is formulated by the Hamilton principle. An optimal shape controller that minimizes the discrete root mean square (RMS) error of a reflecting surface is applied. Then, the optimal arrangements of the PZT actuators are determined by numerical optimization methods, which are developed by modifying the classical Genetic Algorithm, with both single and multi-objective optimizations being studied. In the single optimization formulation, the number of actuators is considered as a constraint, and the RMS error of the reflector is regarded as the optimizing target. A hybrid method that combines the gradient projection method with an adaptive Genetic Algorithm is proposed to solve this problem. In the multi-objective optimization, the residual RMS errors and power consumption of the actuators are considered as the optimization targets. Pareto optimal solutions are obtained by an improved multi-objective Genetic Algorithm. Numerical examples are provided to show the effectiveness of the proposed methods.
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Research context

OpenAlex topics: Structural Analysis and Optimization · Aeroelasticity and Vibration Control · Composite Structure Analysis and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

China Manned Space Agency, Beijing 100071, China

School of Astronautics, Beihang University, Beijing 100191, China

China Academy of Space Technology (Xi’an), Xi’an 710000, China

HTYS Information Technology Co., Ltd., Shanghai Branch, Shanghai 201108, China

Funding

National Natural Science Foundation of China

References (37)

Show source-provided references
1. Pearson, J., Moore, J., and Fang, H. (2010, January 12–15). Large and High Precision Inflatable Membrane Reflector. Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 18th AIAA/ASME/AHS Adaptive Structures Conference, Orlando, FL, USA.10.2514/6.2010-2500 ↗
2. Lang, M., Baier, H., and Ernst, T. (2005, January 10–12). High Precision Thin Shell Reflectors-Design Concepts, Structural Optimisation and Shape Adjustment Techniques. Proceedings of the European Conference on Spacecraft Structures, Materials and Mechanical Testing 2005 (ESA SP-581), Noordwijk, The Netherlands.
3. New Methodology of Surface Mesh Geometry Design for Deployable Mesh Reflectors10.2514/1.A33867 ↗
4. The Projecting Surface Method for Improvement of Surface Accuracy of Large Deployable Mesh Reflectors10.1016/j.actaastro.2018.07.005 ↗
5. Yuan, S., Yang, B., and Fang, H. (2019, January 7). Enhancement of Large Deployable Mesh Reflectors by the Self-Standing Truss with Hard-Points. Proceedings of the AIAA Scitech 2019 Forum, San Diego, CA, USA.10.2514/6.2019-0752 ↗
6. Self-Standing Truss with Hard-Point-Enhanced Large Deployable Mesh Reflectors10.2514/1.J058446 ↗
7. High-Precision Offset Stiffened Springback Composite Reflectors10.2514/1.J050846 ↗
8. Active Shape Control of a Deployable Space Antenna Reflector10.1177/1045389X9600700216 ↗
9. Welch, S.S. (1990, January 1–4). A Distributed Sensor and Processor for Surface Control of a Large Reflector. Proceedings of the IEEE Proceedings on Southeastcon, New Orleans, LA, USA.
10. Form-Finding Analysis and Active Shape Adjustment of Cable Net Reflectors with PZT Actuators10.1061/(ASCE)AS.1943-5525.0000273 ↗
11. Design of Surface Shape Control for Large Two-Dimensional Arrays10.1109/TCST.2004.841659 ↗
12. Efficient Shape Control of Distributed Reflectors with Discrete Piezoelectric Actuators10.1177/1045389X04039262 ↗
13. Lu, Y.-F., Yue, H.-H., Deng, Z.-Q., and Tzou, H.-S. (2014, January 14). Research on Active Control for Thermal Deformation of Precise Membrane Reflector With Boundary SMA Actuators. Proceedings of the Volume 4B: Dynamics, Vibration, and Control; American Society of Mechanical Engineers, Montreal, QC, Canada.10.1115/IMECE2014-37343 ↗
14. Optimized Gore/Seam Cable Actuated Shape Control of Gossamer Membrane Reflectors10.2514/1.25109 ↗
15. Multi-Objective Optimization of an Adaptive Composite Beam Using the Physical Programming Approach10.1177/1045389X9901000107 ↗
16. Robust Shape Control of Beams with Load Uncertainties by Optimally Placed Piezo Actuators10.1007/s001580050124 ↗
17. Optimal Size and Location of Piezoelectric Actuator/Sensors: Practical Considerations10.2514/2.4557 ↗
18. Optimal Placement of PZT Actuators for the Control of Beam Dynamics10.1088/0964-1726/9/1/312 ↗
19. A Methodology for Determination of Piezoelectric Actuator and Sensor Location on Beam Structures10.1006/jsvi.2000.3448 ↗
20. Truss Topology Optimization by Using Multi-Point Approximation and GA
21. Actuator Placement Optimization for Adaptive Trusses Using a Two-Level Multipoint Approximation Method10.1007/s00158-015-1306-0 ↗
22. Integrated Design Optimization of Voltage Channel Distribution and Control Voltages for Tracking the Dynamic Shapes of Smart Plates10.1088/0964-1726/19/12/125013 ↗
23. Multidisciplinary Design Optimization for Vibration Control of Smart Laminated Composite Structures10.1177/1045389X11414081 ↗
24. Sensor and Actuator Selection for Large Space Structure Control10.2514/3.20544 ↗
25. Kuo, C.-P., and Bruno, R. (1991, January 13–15). Optimal Actuator Placement on an Active Reflector Using a Modified Simulated Annealing Technique. Proceedings of the Japan Conference on Adaptive Structures, Maui, HI, USA.
26. Genetic Algorithms for Optimization of Piezoelectric Actuator Locations10.2514/2.1519 ↗
27. Ghasemi-Nejhad, M.N. (2011, January 24). Actuator Grouping Optimization on Flexible Space Reflectors. Proceedings of the SPIE the International Society for Optical Engineering, San Diego, CA, USA.
28. Modeling and Optimal Design for Static Shape Control of Smart Reflector Using Simulated Annealing Algorithm10.1177/1045389X15577650 ↗
29. Lan, L., Jiang, S., Zhou, Y., Fang, H., Wu, Z., and Du, J. (2016, January 4). Shape Control of a Reflector Based on Generalized Zernike Functions. Proceedings of the 3rd AIAA Spacecraft Structures Conference; American Institute of Aeronautics and Astronautics, San Diego, CA, USA.10.2514/6.2016-0704 ↗
30. On Laminated Composite Plates with Integrated Sensors and Actuators10.1016/S0141-0296(97)00212-5 ↗
31. Suppressing High-Order Surface Errors of an Active Carbon Fiber Reinforced Composite Reflector Using Two Types of Actuators
32. Improved Adaptive Genetic Algorithm and Its Application Research in Parameter Identification
33. Orthonormal Vector Polynomials in a Unit Circle, Part I: Basis Set Derived from Gradients of Zernike Polynomials10.1364/OE.15.018014 ↗
34. Gilmore, D.G. (2002). Spacecraft Thermal Control Handbook: Cryogenics, AIAA.
35. Optimization and Experiment of an Electrostatic Forming Membrane Reflector in Space10.1007/s12206-015-0304-x ↗
36. Multi-Objective Optimization of Piezo Actuator Placement and Sizing Using Genetic Algorithm10.1016/j.jsv.2009.01.007 ↗
37. Figueira, J., Greco, S., and Ehrgott, M. (2005). Multiple Criteria Decision Analysis: State of the Art Surveys, Springer Science & Business Media.10.1007/b100605 ↗