Testing And Alignment Of TMT With Statistic Index

In order to study the error transfer of TMT three mirror large Stewartplatform, the mechanism condition number is discussed in this paper. Firstly,with the analysis for singular value of Stewart platform velocity Jacob matrix,the relationship between mechanism condition number and leg elongation is get.Then using condition number and system error transfer function,in TMT specialkinematical forms, the leg elongation error and the platform attitude error’srelationship is discussed, and visa the MATLAB optimization, a group ofoptimal solution is given out. After using the ADAMS to validate the theoreticalderivation. the known error transfer model combined with precision experimentis used to identify the leg elongation error for evenly distribution and mobileplatform rotation error for bimodal distribution. At the same time, usingMATLAB simulation, we known when the leg elongation error for0to1evenlydistributed, the mobile platform rotation error vector norm expectations reducedfrom to visa optimization, optimizing the quantity by20%, with aconclusion that the error distribution of the two shoulder peak close to each otherand move to0point integrative.In order to complete the testing and alignment of TMT third mirrorbearing,the maximum likelihood estimation is introduced. Firstly, we use twointersecting planes to identify a space line; Then, considering the noise of themeasured data, we made use of maximum likelihood estimation to estimate TMT third mirror shafting parameters;And in MATLAB,which produced atraining set with Gaussian white noise,we reduced the angle of collection axisand ideal axis from6.29" to the optimized5.24",with optimization of17%;Lastly,Vantage Laser Tracker is made the testing tool for TMT large shafting.Using optimization before, we drawn the TMT third mirror shafting residualserror to2.9", which is less than the TMT indicator of4″； This paper will dogood to TMT third mirror shafting alignment, and raise a real-time method toother large diameter optical system bearing alignment.we introduce the PSD. Firstly, we introduce the method of stitching basedon PSD; then, in theory,the estimation quality is analyzed; using the data of1.23meters reflect mirror, we can calculate the precision of the algorithm;finally, weput the algorithm forward to the simulated data of TMT M3,obtaining thefrequency property of TMT M3.we analyze the error transfer property of the structure function; thennumerical simulation and experience data are combined to obtain the composedwave front to prove this paper’s theory; at the last, the application to TMT M3isdone,noting that the print thought effort can still be recognized.This paper willdo good to the optic system designing and measuring,and the TMT will sharethe benefit,too.The algorithm is presented, in full; then the error translation factor isilluminated in theory; For the1.23meters reflecting mirror, the algorithm iscertified by calculating for the data of the sub aperture with rigid body noise;lastly, for TMT M3, in different scale, the slope sate is obtained by this algorithm.This paper may be a useful guide for large aperture mirror measuring andmanufacturing.We study the algorithm of collapse, and the specific step is expression; then,we put this methods forward to the Zernike polynomial which can simulate thewave front perfectly;In the later section, the algorithm is applied to the meter rank reflecting mirror and thirty meter telescope tertiary mirror simulating data,to certification the theory.This work will do good to the TMT and the design,measurement andmanufacture of reflecting mirror.