摘要
目的建立混凝土桥梁结构的弹性模量随机场,确定该随机场的相关函数、相关距离、及方差折减函数.方法对肇源大桥进行了混凝土强度的现场大量实测,并根据相应关系转化为混凝土弹性模量,以实测数据为基础,通过曲线拟和的方法得到该随机场的相关函数表达式,同时利用随机场的经验公式,确定了该随机场的相关距离和方差折减函数.结果实测数据与指数余弦II型相关函数拟和较好,认为指数余弦II型函数可以作为混凝土桥梁结构弹性模量随机场的相关函数表达式,经计算得到该随机场的相关距离为0.715 m,与工程上的经验取值0.5 m较为接近,认为符合实际.结论通过随机场理论得到了混凝土桥梁结构空间两点的相关性,根据实桥得到的随机场参数可以应用于类似的桥梁结构中.
In order to get the random field of concrete bridge structures, and get the autocovariance function, correlation distance and the variance function, the field stochastic measure on the intensity of Zhaoyuan bridge is taken, and according to the relation of the intensity and the elastic modulus, a lot of data of elastic modulus are achieved by the relevant calculation. Based on this, the autocovariance function is achieved by curve fitting method. The correlation distance and the variance function are achieved by experience formula of random field. We can get the conclusion that the index cosine Ⅱ function fits the measured data well, and it can be taken as the concrete bridge structures' autocovariance function, the correlation distance is 0. 715 m close to the experience value 0.5 m, and can be considered as practical. From the results of this article, we get the correlation of two points in space of concrete bridges according to the random field theory. The results this article got on a real bridge can be used for the similar bridges.
出处
《沈阳建筑大学学报(自然科学版)》
EI
CAS
2006年第3期383-387,共5页
Journal of Shenyang Jianzhu University:Natural Science
基金
黑龙江省留学归国人员基金(LC05C01)
关键词
随机场理论
相关函数
相关距离
方差折减系数
可靠度
混凝土桥梁结构
random field theory
autocovariance function
correlation distance
variance function
reliability
concrete bridge structures