考虑剪滞剪切效应的复合材料薄壁箱梁分析的哈密顿对偶体系  

Hamilton dual system for analysis of compound thin-walled box girder considering the effect of shear lag and shear deformation

作　　者：胡启平[1] 王文军 HU Qiping;WANG Wenjun(College of Civil Engineering, Hebei University of Engineering, Handan, Hebei 056038, China)

机构地区：[1]河北工程大学土木工程学院,河北邯郸056038

出　　处：《中国科技论文》2022年第2期122-126,共5页China Sciencepaper

基　　金：河北省自然科学基金资助项目(E2016402110)。

摘　　要：在哈密顿(Hamilton)力学与复合材料层合板理论的基础上,针对复合材料薄壁箱梁剪滞剪切效应问题,提出了一种可考虑各种耦合效应的全新理论分析方法。在Hamilton体系下,通过勒让德(Legendre)变换引入对偶变量,将问题的高阶微分控制方程转化为Hamilton对偶方程。采用两端边值问题的精细积分法对复合材料薄壁箱梁进行计算,将用所提方法计算的算例结果与试验结果、有限元软件ANSYS的分析结果进行对比,结果表明所提方法是正确、可靠的。A new analytical approach was proposed for analyzing the effect of shear lag and shear deformation based on the Hamiltonian mechanics and compound laminated theory.Various coupled effects were taken into account in this analytical approach.In the Hamilton dual system,dual variables were switched by Legendre conversion.High-order differential governing equations were transformed into Hamilton dual equations.Moreover,numerical results were studied by using precise integration method considering the boundary conditions at both ends.Good agreement was reached between the present predictions and other available results from experimental tests and finite element analysis software ANSYS,which indicated that the proposed method was correct and reliable.

关 键 词：复合层合箱梁 剪力滞后 Hamilton对偶体系 精细积分法 

分 类 号：TU311[建筑科学—结构工程]