为了给燃烧诊断光学系统中机械振动对光学性能的影响提供预测评价方法，对振动干扰下光路失调数值的精确计算进行了研究。利用ANSYS有限元分析软件建立了光学振动失调物理模型，通过瞬态动力学分析得到了反射镜在振动激励下的位移响应。基于矩阵光学、几何光学理论和机械振动理论，分析了反射镜的振动失调光束传输变换矩阵，建立了振动失调光路传输理论模型，推导出了振动激励下光路失调数值计算方法，并通过实验对该计算方法进行了验证。实验结果显示，水平和垂直方向的仿真计算结果与实验测试结果的相对误差分别为4.1%和0.8%，表明该计算方法具有很高的精度。

For the purpose of providing a method to estimate the effect of vibration on the optical performance of a burning diagnosis optical system,a numerical calculation method for the misaligned optical system under interference vibration was proposed. Based on the finite element analysis software ANSYS, the physical model of misaligned optical system under interference vibration was developed and the transient dynamic analysis was inspired by a reflector displacement in the vibration response. Then,the dynamic response of the reflector was obtained by transient dynamic analysis. On the basis of the matrix optics, geometrical optics theory and the mechanic vibration theory, the vibration misalignment matrix of planar reflector was analyzed, and the vibration misalignment model was also built. Meanwhile, the method of simulating calculation of misaligned optical system under interference vibration was inferred. Furthermore,an experiment was carried out to validate the method. The results show the the relative error of simulating calculation and experimental data can reach 4.1% and 0.8% in the horizontal and vertical directions,respectively.