基于运动学原理的支撑结构在大口径望远镜的底支撑中早已得到广泛运用，但是在主镜侧支撑中的应用还不成熟。本文首先解释了一种基于运动学原理的侧支撑结构的特点，然后针对一个直径2.04 m 的主镜, 使用有限元软件ANSYS 中的参数化设计语言进行了具体的结构设计与分析。接着以主镜在光轴竖直状态下的镜面面形误差的均方根值(RMS)为目标函数，采用模拟退火算法，对支撑结构中各支撑杆的支撑反力进行了优化。最后得到的镜面变形的RMS 值为16.67 nm。计算不同俯仰角下的镜面变形，均达到了RMS 小于λ/30 的技术要求。

The support structure based on kinematic principle had been wildly used in the axial support on large-diameter telescope. But it is not maturely applied in the lateral support system. A lateral support structure based on kinematic principle is explained. Based on a primary mirror with a diameter of 2.04 m, a support structure with more details was designed and analyzed by the ANSYS Parametric Design Language. Selected the Root Mean Square (RMS) of the primary mirror when the optical axis was vertical as the objective function, the support reaction was optimized by the simulated annealing algorithm. Final surface error RMS was 16.67 nm. Surface error with different obliquities were calculated, which meets the requirement that the RMS should be less than λ/3.