# recurrence equations meaning in Chinese

## Examples

1. starting from the collins formula, a recurrence equation of hermite-cosine-gaussian ( hcg ) beams propagating through a paraxial abcd system with a hard-edged aperture is derived, from which the analytical propagation expressions for apertured hcg beams of any order can be derived by using the recursive algorithm
从collins公式出发，推导出了厄米?余弦?高斯光束通过有硬边光阑近轴abcd光学系统传输的递推公式。由递推公式，借助迭代算法，得出受光阑限制的任意阶厄米?余弦?高斯光束的解析传输公式。
2. based on the theory of stochastic finite element, the structural parameters of frame-shear structure including stiffness and mass and damping are simulated to be stochastic variables . by solving recurrence equation of stochastic finite element, the duration curve of mean value and standard deviation of seismic response can be obtained for every floor of frame-shear structure . an analysis is thus given to the effects of independent variation and simultaneous variation of structural parameters on the seismic dynamic response of frame-shear structure . as shown by the results, with regard to frame-shear structure, the effect of variation of strucural parameters on the change of mean value are chiefly the increase of standard deviation of response . variation of stiffness will cause the response of frame-shear structure to variate greatly; variation of mass shows less effect; and variation of damping shows insignificant effect . the effects of simultaneous variation of various structral parametres on seismic response are only slightly greater than the effect of stiffness variation alone
以随机有限元理论为基础，将框剪结构的刚度、质量、阻尼等结构参数为随机变量.通过求解随机有限元的递推方程，得到框剪结构各层的地震动力响应均值和标准差历时曲线.分析结构参数单独变异，以及同时变异对框剪结构地震响应的影响.研究结果表明,对框剪结构而言，结构参数的变异对响应的均值变化影响都不大，主要是增大响应的标准差.刚度的变异性将引起框剪结构的响应发生大幅度变异，质量的变异性影响稍小，阻尼的变异性影响不显著.结构各参数的同时变异，对框剪结构地震响应的影响，仅比刚度单独变异的影响稍大

PC Version简体繁體