CAJ | 학술논문

为了使得某2m望远镜消旋K镜在重力环境温度变化的影响下镜面面形和结构刚度满足要求，设计了一种柔性支撑结构。KM1支撑方式采用背部三点支撑，通过有限元软件ANSYS对支撑位置进行优化。并基于伴随变换建立了柔性支撑杆的柔度矩阵，对柔性铰链的厚度、长度和宽度进行优化，使反射镜支撑刚度满足需求，并减轻热应力和装配应力面形的影响。KM2采用周边三点支撑，间隔120o均匀分布，支撑杆结构与KM1相同。在重力和均匀温降的联合工况下，KM1和KM2的有限元仿真结果达到了设计要求，KM1镜面面形RMS低于/40，KM2镜面面形RMS低于/60，一阶谐振频率均高于100 Hz。
위료사득모2m망원경소선K경재중력배경온도변화적영향하경면면형화결구강도만족요구，설계료일충유성지탱결구。KM1지탱방식채용배부삼점지탱，통과유한원연건ANSYS대지탱위치진행우화。병기우반수변환건립료유성지탱간적유도구진，대유성교련적후도、장도화관도진행우화，사반사경지탱강도만족수구，병감경열응력화장배응력면형적영향。KM2채용주변삼점지탱，간격120o균균분포，지탱간결구여KM1상동。재중력화균균온강적연합공황하，KM1화KM2적유한원방진결과체도료설계요구，KM1경면면형RMS저우/40，KM2경면면형RMS저우/60，일계해진빈솔균고우100 Hz。
A flexible support structure was designed to make the mirror surface figure error and the stiffness of the structure fulfill the requirements of the design of a 2 m telescope’s K mirror. KM1 was the support at three points on the rear of mirror. The position of support points was optimized by the FEA software ANSYS to minimum the mirror surface’s RMS. And the flexibility matrix of the flexible support bar was built by theadjoint transformation. Then based on the flexibility matrix, the thickness, length and the width of the flexure hinge were optimized to reduce the thermal stress and assembly stress and fulfill the requirement of the mirror support’s stiffness. KM2 was the support at three points which are uniformly spaced around the circum of mirror. The flexible support bar of KM2 was the same as KM1’s. The FEA simulation results of KM1 and KM2 under the work condition of gravity and temperature drop met the design requirements. The RMS of KM1 was less than λ/40, and the RMS of KM2 was less than /60. Their first order resonant frequency was all over 100 Hz.