摘要
当结构参数具有误差或有界不确定性时，区间数学可以在不知道不确定变量的概率分布的情况下定量地考察不确定参数对结构响应的影响。为计算出不确定结构参数对结构位移影响范围的上下界，文中提出了的两种区间摄动方法。通过分析和数值运算可以看出，相对区间矩阵摄动法，区间参数摄动方法不仅可提高结构位移界限的求解效率，而且所计算出的结构位移范围上下界的宽度比区间矩阵摄动方法所计算出的要小得多，数值结构说明了所提出方法的有效性。
For the structural parameters with errors or uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influences of errors or uncertainties in structural parameters on the response of structures. In order to calculate the region containing displacements of structures with uncertain but bounded parameters, by comparing the interval parameter perturbation method and the interval matrix perturbation methods in mathematical analysis and the numerical operation, the interval parameter perturbation method not only calculates the width of region containing displacements which is smaller than that of the interval matrix perturbation method, but also improves its computational efficiency. The numerical example illustrates the efficiency of the proposed method.
出处
《应用力学学报》
CAS
CSCD
北大核心
1999年第1期1-9,共9页
Chinese Journal of Applied Mechanics
基金
国家自然科学青年基金
国家杰出青年基金
关键词
有界不确定性
位移界限
区间摄动
结构分析
the uncertain but bounded, bounds on displacements, interval mathematics, parameter perturbation method.
