中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

重庆交通大学学报(自然科学版) ›› 2001, Vol. 20 ›› Issue (2): 9-12.

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用区间有限元计算桥梁结构荷载组合效应

刘山洪1,魏建东1,杨永贤2   

  1. 1.西南交通大学桥梁及结构工程研究所 四川成都610031;2.交通部重庆公路科学研究所 重庆400067
  • 出版日期:2001-06-20 发布日期:2016-07-12

Interval FEM used in the calculation of bridge and structural response under combinatorial loads

LIU Shan hong1, WEI Jian dong1, YANG Yong xian2   

  1. 1. Research Institute of Bridge and Structural Engineering,Southwes t Jiaotong University,Chengdu 610031,China; 22.Chongqing Highway Research Institute,Ministry of Communications,Chongqing 40 0067,China
  • Online:2001-06-20 Published:2016-07-12

摘要: 不确定的桥梁结构荷载,可以用上、下限的区间来表示,用区间有限元 (FEM)方法可以求得结构位移和内力响应的包络界限.用线弹性梁单元对实际桥梁结构进行离散化,并用确定的区间值表示不确定的荷载向量,根据区间代数原理和线性有限元程序求解响应量的界限,从而得到结构响应量不确定性的界限.用该方法计算桥梁结构设计中的荷载工况组合效应,算例表明该方法具有使用简便、计算量小的特点,适合实际桥梁结构设计的荷载组合计算

关键词: 区间代数, 有限元法, 桥梁结构, 荷载组合, 荷载不确定性

Abstract: The loading uncertainties of bridge and structure ma y be expressed by the upper and lower boundaries of an interval.The interval Fin i te Element Method(FEM) is used to obtain the conservative bounds for the displac ement and force response quantities.The linear elastic beam elements are applied in the discretization of a real bridge.The bounded intervals are used in express i ng the load vector with unertainties.The conservative bounds for the response qu antities are determined by the theory of interval algebra and linear elastic pro g ramming.Then,the conservative bounds for the response can be obtained.The propos ed formulation is applied to the practical design of bridge and structure loadin g combinations.The results of an example indicate that the method used here is c onvenient and simple.This method also has small calculation work and is suitable to calculate the loading combinations of bridges and structures in the practica l design.

Key words: interval algebra, finite element method, bridge and structure, loading combinations, load uncertainties

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