一种多环闭链空间可展开机构的尺度协同优化设计

doi:10.3969/j.issn.1001-2400.2017.03.004

Abstract

Abstract:

This paper presents a new multi-closed-loop space deployable mechanism. The position analysis of the deployable mechanism has been carried out based on the loop constraint equations. Then, under the premise of the given aperture diameter and the range of opening angles, the mathematical model of dimension optimization of the deployable mechanism is established, in which the design variables are bar lengths, and the objective functions include maximizing the expansion ratio and the minimal transmission angle, and minimizing the driven stroke. By the collaborative optimization method, the optimization problem is divided into two levels: a system level which is used to coordinate the inconsistency of the coupling variables in subsystems, and three parallel subsystems which are used to minimize the difference between the optimization scheme of subsystems and the goal of the system level. The dimension parameters of deployable mechanisms can be optimized through the established collaborative optimization model. Simulation results show that the deployment process is smooth without the dead points when the expansion ratio, the driven stroke and the minimum transmission angle are 15∶1, 198mm and 22°, respectively.

Key words: space deployable mechanism, position analysis, mathematical modeling, collaborative optimization, optimum design, dimension design

LI Tuanjie;WANG Peng. Dimension collaborative optimization design of a multi-closed-loop space deployable mechanism[J].Journal of Xidian University, 2017, 44(3): 19-24.

References

［1］ KIPER G, SOYLEMEZ E. Deployable Space Structures ［C］//Proceedings of the 4th International Conference on Recent Advances Space Technologies. Piscataway: IEEE, 2009: 131-138.
［2］从强, 罗敏, 李伟杰. 空间机构技术发展趋势及展望［J］. 载人航天, 2016, 22(1): 1-8.
CONG Qiang, LUO Min, LI Weijie. Development Trends and Prospects of Space Mechanism ［J］. Manned Spaceflight, 2016, 22(1): 1-8.
［3］ PELLEGRINO S. Deployable Structures ［M］. New York: Springer Verlag Wien GmbH, 2001.
［4］ DATASHVILI L, ENDLER S, WEI B, et al. Study of Mechanical Architectures of Large Deployable Space Antenna Apertures: from Design to Tests ［J］. Ceas Space Journal, 2013, 5(3/4): 169-184.
［5］ LI T J. Deployment Analysis and Control of Deployable Space Antenna ［J］. Aerospace Science and Technology, 2012, 18(1): 42-47.
［6］ ZHANG Y Q, DUAN B Y, LI T J. A Controlled Deployment Method for Flexible Deployable Space Antennas ［J］. Acta Astronautica, 2012, 81(1): 19-29.
［7］ KOHN H F. A Review of Multiobjective Programming and Its Application in Quantitative Psychology ［J］. Journal of Mathematical Psychology, 2011, 55(5): 386-396.
［8］ PRADHAN P M, PANDA G. Solving Multiobjective Problems Using Cat Swarm Optimization ［J］. Expert Systems with Applications, 2012, 39(3): 2956-2964.
［9］ SOUZA D L, LOBATO F S, GEDRAITE R. Robust Multiobjective Optimization Applied to Optimal Control Problems Using Differential Evolution ［J］. Chemical Engineering ＆ Technology, 2015, 38(4): 721-726.
［10］ BERTSEKAS D P. Convex Optimization Algorithms ［M］. Belmont: Athena Scientific, 2015.
［11］ TAPPETA R V, RENAUD J E. Multiobjective Collaborative Optimization ［J］. Journal of Mechanical Design, Transactions of the ASME, 1997, 119(3): 403-411.
［12］ QI X Z, DENG Z Q, LI B, et al. Design and Optimization of Large Deployable Mechanism Constructed by Myard Linkages ［J］. Ceas Space Journal, 2013, 5(3): 147-155.
［13］ THRALL A P, ZHU M, GUEST J K, et al. Structural Optimization of Deploying Structures Composed of Linkages ［J］. Journal of Computing in Civil Engineering, 2014, 28(3): 04014010.
［14］ ZHANG W X, WU T, DING X L. An Optimization Method for Metamorphic Mechanisms Based on Multidisciplinary Design Optimization ［J］. Chinese Journal of Aeronautics, 2014, 27(6): 1612-1618.
［15］李团结, 贾建援, 胡雪梅. 机械工程中两类非线性方程组的完全解［J］. 西安电子科技大学学报, 2005, 32(1): 71-74.
LI Tuanjie, JIA Jianyuan, HU Xuemei. Global Set of Solutions for Two Types of Systems of Nonlinear Equations in Mechanical Engineering ［J］. Journal of Xidian University, 2005, 32(1): 71-74.

Dimension collaborative optimization design of a multi-closed-loop space deployable mechanism

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