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ASYMPTOTIC STABILITY AND BLOW-UP OF SOLUTIONS FOR SEMI-LINEAR EDGE-DEGENERATE PARABOLIC EQUATIONS WITH SINGULAR POTENTIALS 会议论文
作者:  Chen, Hua;  Liu, Nian
收藏  |  浏览/下载:8/0  |  提交时间:2019/12/05
Configuring an electrostatic membrane reflector with potentials exerted on distributed electrodes (EI CONFERENCE) 会议论文
2009 IEEE International Conference on Mechatronics and Automation, ICMA 2009, August 9, 2009 - August 12, 2009, Changchun, China
Shi G.; Zhong X.; Jin G.; Zhang P.
收藏  |  浏览/下载:13/0  |  提交时间:2013/03/25
Electrostatic membrane reflector (EMR) is very promised for optical quality application with the merits of utra-lightweight and flexible. Configuring a circular membrane reflector with electrostatic potentials exerted on distributed electrodes can approximatively produce a parabolic shape. A 300mm EMR (made from polyimide) stretched by distributed electrodes below is designed  and the number of concentric electrodes needed for membrane shape forming is analysed. First  based on an analytical solution of Poisson's equation  determine the membrane control matrix by finding influence functions of 3 concentric electrodes and 6 control points on membrane surface in order to compute the needed voltages exerted on the distributed electrodes by the method of least-squares fitting. Then the final shape solved by finite element analysis with ANSYS is contrasted with the paraboloid and deviates greatly when the central displacement of membrane is beyond 2.5mm  but in this range increasing the number of electrodes and control points will get a better shape. The corresponding errors are analyzed  and the control method is concluded. Only using the integrated method of analytical computation  numerical analysis and experiment  the membrane shape of certain central displacement can be exactly predicted and controlled. 2009 IEEE.  


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