Moreover , aspherical surface error in sagittal plane was found , and bended beam ’ s radius r , position s of concentrated load p and length l of arc which were suited for aspherical figure accuracy of both tangential plane and sagittal plane were given 此外,本文對有限元法分析過程也進(jìn)行了簡要說明,并用有限元軟件patran / nastran對上述曲梁的計(jì)算進(jìn)行了復(fù)核。
The mathematic model of the ultra - thin spherical mirror is to be treated as elastic thin shell . then the predigested model , i . e . , bended beam , used in qualitative analysis was proposed , and its deflection and stress formulas under the freely supported condition were set up . based on an off - axis aspherical primary mirror , the relationship of aspherical surface error ( rms ) in tangential plane with bended beam ’ s radius r , position s of concentrated load p and geometry length l of arc was analyzed 根據(jù)這一設(shè)想,本文建立了超薄鏡的數(shù)學(xué)模型?薄殼,并提出了強(qiáng)制力作用下超薄鏡的簡化模型?曲梁,推導(dǎo)了曲梁在簡支情況下受力變形的撓度公式,并結(jié)合一個(gè)實(shí)例,計(jì)算出曲梁變形后與所需非球面的面形殘差( rms )在子午方向與曲梁弧長l 、曲梁半徑r及集中力位置s的關(guān)系及滿足面形精度的r和s范圍,分析了弧矢方向的rms ,得出了同時(shí)滿足子午和弧矢方向面形要求的l 、 r和p 。