The optimization analysis of supporting point distribution for single folding solar panel

LI Zheng-fa1, 2, 3 CAO Deng-qing2 ZHANG Ying-chun1,3

Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (24) : 177-181.

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PDF(1232 KB)
Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (24) : 177-181.

The optimization analysis of supporting point distribution for single folding solar panel

  • LI Zheng-fa1, 2, 3  CAO Deng-qing2   ZHANG Ying-chun1,3
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Abstract

Distribution of supporting point has a significant impact on dynamic characteristics for the folding solar panel. In order to study the effect of supporting point distribution on the fundamental frequencies of folding solar panel, a typical single folding solar panel with four point support is taken as the investigation object. Based on the conservation of energy principle and Rayleigh-Ritz theory, the vibration equation and the frequency equation are established for analyzing the free vibration problem of folding solar panel with points support. The vibration characteristics of the folding solar panel with four points symmetrical support is gained, and Aiming at the maximum fundamental frequency to the support points for optimization distribution is also discussed. The examples show the theoretical calculation results have good consistency with the results of the finite element analysis. The research results could provide a theoretical basis for the preliminary design of supporting point distribution for the single folding solar panel.
 
 

Key words

solar panel / optimization analysis / Rayleigh-Ritz method / Fundamental frequency / point supports

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LI Zheng-fa1, 2, 3 CAO Deng-qing2 ZHANG Ying-chun1,3. The optimization analysis of supporting point distribution for single folding solar panel[J]. Journal of Vibration and Shock, 2015, 34(24): 177-181

References

[1] 王巍, 于登云, 马兴瑞. 航天器铰接结构非线性动力学特性研究进展 [J]. 力学进展, 2006, 36(2): 233-238.
WANG Wei, YU Deng-yun, MA Xing-rui. Advances and trends of non-linear dynamics of space joint dominated structure [J]. Advances in Mechanic, 2006, 36(2): 233-238.
[2]方宝东. 卫星收拢太阳翼频率响应分析 [J]. .机械设计与研究, 2005, 21(3):95-97.
FANG Bao-dong. Analysis of the frequency response characters of satellite solar cell array [J]. .Machine Design and Research, 2005, 21(3):95-97.
[3] Gorman D J. An analytical solution for the free vibration analysis of rectangular plates resting on symmetrically distributed point supports [J]. Journal of Sound and Vibration, 1981, 79:561-74.
[4] Narita Y, Hodgkinson J M. Layerwise optimisation for maximising the fundamental frequencies of point-supported rectangular laminated composite plates [J]. Composite Structures, 2005, 69:127-35.
[5] 许琪楼.四角点支承四边自由矩形板自振分析新方法[J]. 振动与冲击,2013, 32(3):83-86.
XU Qi-lou. A new analysis method of free vibration of rectangular plate with 4-free-sides and 4-corner point supports [J]. Journal of Vibration and Shock, 2013, 32(3):83-86.
[6] Lopatin A V, Morozov E V. Fundamental frequency of an orthotropic rectangular plate with an internal centre point support [J]. Composite Structures, 2011, 93:2487-2495.
[7] Saadatpour M M, Azhari M, Bradford M A. Vibration analysis of simply supported plates of general shape with internal point and line supports using the Galerkin method [J]. .Engineering Structures. 2000, 22:1180-1188.
[8] Bapat A V, Suryanarayan S. Free vibrations of rectangular plates with interior point supports [J]. Journal of Sound and Vibration, 1989, 134:291-313
[9] 王砚,王忠民,阮苗. 无网格法在点弹性支承矩形薄板横向振动中的应用[J]. 计算力学学报.2010, 27(2):238-243.
WANG Yan, WANG Zhong-min, Ruan Miao. Application of meshless method in the transverse vibration of rectangular thin plate with elastic point supports [J]. Chinese Journal of Computational Mechanics, 2010, 27(2):238-243.
[10] Wang D, Yang Z C, Yu Z G. Minimum stiffness location of point support for control of fundamental natural frequency of rectangular plate by Rayleigh-Ritz method [J]. Journal of Sound and Vibration, 2010, 329:2792-2808.
[11] Huang M H, Thambiratnam D P, Free vibration analysis of rectangular plates on elastic intermediate supports [J]. Journal of Sound and Vibration, 2001, 240:567-580.
[12] Zhao Y B, Wei G W,Xiang Y. Plate vibration under irregular internal supports[J]. .International Journal of Solids and Structures 2002, 39:1361-1383.
[13] Kerstens J G M. Vibration of a rectangular plate supported at an arbitrary number of points [J]. Journal of Sound and Vibration, 1979, 65(4):493-504.
[14] Zhou D, Cheung Y K, Kong J. Free vibration of thick, layered rectangular plates with point supports by finite layer method[J]. International Journal of Solids and Structures 2000, 37:1483-1499.
[15] Wang C M, Wang Y C, Reddy J N. Problems and remedy for the Ritz method in determining stress resultants of corner supported rectangular plates [J]. Computers and Structures,2002,80:145-154.
[16] Katsikadelis J T, Sapountzakis E J and Zorba E G. A BEM approach to static and dynamic analysis of plates with internal supports [J]. Computational Mechanics, 1990,7:31-40.
[11] Zhou D, Cheung Y, Kong J. Free vibration of thick, layered rectangular plates with point supports by finite layer method [J]. International Journal of Solids and Structures 2000, 37:1483-99.
[18] Zhou D, Ji T. Free vibration of rectangular plates with internal column supports [J]. Journal of Sound and Vibration, 2006, 297:146-66.
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