摘要
运用摄动法随机有限元导出随机参数桥梁结构本征值问题的基本列式。结构的基本设计变量按局部平均随机场理论离散。一个具有随机质量密度和截面直径的简支梁算例验证了本文方法的正确性。最后假设主缆弹性模量和质量密度、主梁质量密度等为随机参数，计算了主跨８８８ｍ虎门大学自振频率的统计特征，并对有关随机变量作参数分析，讨论其对悬索桥固有振动特性的影响。
On the basis of perturbation stochastic finite element method, the fundamental equations of eigenvalue problem for bridge structures with random parameters are derived in this paper. The structural basic design variables are discretized according to the local average random field theory. One simply-supported beam with stochastic mass density and diameter of section is demonstrated to verify the present method. Finally, the statistics of natural frequencies of Tiger Gate Bridge with a main span of 888m are calculated on the assumption that the elasticity modulus and mass density of cable and the mass density of beam are random parameters. Furthermore, the parameter analysis are performed for corresponding random variables and the effects of these variables on the inherent vibration characters of suspension bridges are discussed.
出处
《中国公路学报》
EI
CAS
CSCD
北大核心
1997年第4期49-54,共6页
China Journal of Highway and Transport
基金
攀登计划B
中国博士后科学基金
关键词
随机有限元法
摄动法
随机场
自振频率
桥梁结构
Bridge, Stochastic FEM, Perturbation method, Random field, Natural Frequency
