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长春光学精密机械与物... [1]
武汉大学 [1]
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会议论文 [2]
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2016 [1]
2009 [1]
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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
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浏览/下载:8/0
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提交时间:2019/12/05
Semilinear parabolic equations
edge type degeneracy
singular potential
potential well method
asymptotic stability
blow-up in finite time
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.
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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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