Browse > Article
http://dx.doi.org/10.9766/KIMST.2018.21.3.264

The Effectiveness Analysis Due to the Use of Lagrange Equation and the Optimization Technology for Design of the Support Structure of the Optical Mirror System  

Gimm, Hak In (The 5th Research and Development Institute, Agency for Defense Development)
Nam, Byoung Uk (The 5th Research and Development Institute, Agency for Defense Development)
Kim, Gwang Tae (The 5th Research and Development Institute, Agency for Defense Development)
Kim, Byung Un (The 5th Research and Development Institute, Agency for Defense Development)
Publication Information
Journal of the Korea Institute of Military Science and Technology / v.21, no.3, 2018 , pp. 264-278 More about this Journal
Abstract
The support structure of an optical mirror system is the one of the important design elements because the one affects the optical aberrations of the mirror surface. In this paper, Lagrange equation of the moving body of the fast steering mirror system(FSM) has been formulated to use with optimization design. Major goals for optimization are to assign the reasonably flexible stiffness to the structure and to enhance the first natural frequency of the mirror and support system in aid of more affordable control bandwidth for the FSM. Pursuing these purposes with the proposed method, the finite element analysis(FEA), optimization technique and the Zernike polynomial estimation are used for the design effects. It is concluded that the proposed approach for design well guides toward the desired design goals with regards to both structural and optical performances.
Keywords
Lagrange Equation; Mirror Surface Errors; Mirror Support Structure; Optimization; Stiffness Design;
Citations & Related Records
연도 인용수 순위
  • Reference
1 F. M. Tapos, D. J. Edinger, T. R. Hilby, and et al, "High Bandwidth Fast Steering Mirror," Proceedings of the SPIE, Sandiago, California, 5877, pp. 60-73, 2005.
2 R. M. Richard, "Support Structures for High- Resolution Optical Systems," J. of Aerospace Engineering, 5(1), pp. 23-43, 1992.
3 J. W. Ryu, "6-Axis Ultraprecision Positioning Mechanism Design and Positioning Control," Ph.D Dissertation, Korea Advanced Institute of Science and Technology, 1997.
4 B. Y. Nam and H. Gimm, et al, "Design and Analysis of a Tip-Tilt Guide Mechanism for the Fast Steering of a Large-Scale Mirror," Optical Engineering, Vol. 55(10), pp. 106120-1-106120-12, Oct. 2016.   DOI
5 B. Chu, Y. C. Li, W. Y. C, and X. W. Fan, "Design of Bipod Flexures for Space Mirror," Proceedings of SPIE, 8196, pp. 819620, 2011.
6 H. J. Kim, Y. D. Seo, and S. K. Youn, et al, "Optimal Design of the Flexure Mounts for Satellite Camera by using Design of Experiments," Trans. KSME Eng. A, 32(8), pp. 693-700, 2008.   DOI
7 B. P. Trease, Y. M. Moon and S. Kota, "Design of Larger-Displacement Compliant Joints," Trans. of the ASME, 127, pp. 788-798, 2005.   DOI
8 V. Lakshminarayanan and A. Fleck, "Tutorial Review-Zernike Polynomials: A Guide," J. of Modern Optics, 58(7), pp. 545-561, 2011.   DOI
9 J. Y. Wang and D. E. Silva, "Wave-Front Interpretation with Zernike Polynomials," Applied Optics, 19(9), pp. 1510-1518, 1980.   DOI
10 D. Vukobratovich and R. M. Richard, "Flexure Mounts for High-Resolution Optical Elements," SPIE-Optometical and Electro-Optical Design of Industrial Systems, 959, pp. 18-36, 1988.
11 C. Chrzanowski, C. Frohlicha, B. Shirgura, R. Mink, "Design and Structural/Optical Analysis of a Kinematic Mount for the Testing of Silicon Carbide Mirrors at Cryogenic Temperatures," Proceedings of the SPIE, 5528, pp. 204-214, 2004.
12 Ansys Workbench 2.0 Framework, Version 15.0, SAS IP, 2013.
13 MatWeb-Material Property Data, the Online Materials Information Resources, http://www.matweb.com
14 T. F. Coleman and Y. Zhang, "Optimization Toolbox MATLAB User's Guide, Ver. 3," The Mathworks, Massachusetts, USA, 2005.
15 MIL-STD-810G, "Environmental Engineering Considerations and Laboratory Tests," Department of Defense Test Method Standard, USA, 2008.
16 P. A. Yoder, Jr., "Mounting Optics in Optical Instruments," Second Ed. SPIE Press, USA, 2008.