摘要
以移动荷载作用下变截面桥梁为研究对象,引入"输入状态稳定性"概念,为移动荷载对变截面桥梁稳定性产生的影响同时提供一种定性与定量刻画,从而为桥梁振动分析提供一个新思路.
In this paper,we consider the variable cross-section beam bridge under moving loads.By introducing the notion of"input-to-state stability",we provide qualitative and quantitative descriptions for the effect of moving loads on the variable cross-section beam bridge,which represents a new thinking way to the analysis of the vibration of beam bridges.
作者
姜月瑶
李佳
刘钰
郑军
JIANG Yue-Yao;LI Jia;LIU Yu;ZHENG Jun(School of Information Science and Technology,Southwest Jiaotong University,Chengdu 611756,China;School of Electrical Engineering,Southwest Jiaotong University,Chengdu 611756,China;School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China;School of Civil Engineering,Southwest Jiaotong University,Chengdu 611756,China;Department of Electrical Engineering,Polytechnique Montreal,Montreal,QC,Canada H3T 1J4)
出处
《数学的实践与认识》
2021年第19期177-185,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金青年基金(11901482,51708459)。
关键词
移动荷载
变截面梁
输入状态稳定性
偏微分方程
moving load
variable cross-section beam bridge
input-to-state stability
partial differential equation
