基于能量原理的空间结构无应力状态平衡方程推导  

Derivation of equilibrium equation of space beam element based on principle of potential energy

作　　者：孙志伟[1] 杜仕朝 康春霞[3] 刘仲洋[3] 邬晓光[1] SUN Zhiwei;DU Shizhao;KANG Chunxia;LIU Zhongyang;WU Xiaoguang(Shanxi Provincial Major Laboratory for Highway Bridge & Tunnel, Chang’an University, Xi’an 710064, China;CCCC Road and Bridge Consultants Co. Ltd., Beijing 100011, China;Hebei Institute of Architecture and Civil Engineering School of Economics and Management, Zhangjiakou 075000, China)

机构地区：[1]长安大学桥梁与隧道陕西省重点实验室,陕西西安710064 [2]中交路桥技术有限公司,北京100011 [3]河北建筑工程学院经济管理学院,河北张家口075000

出　　处：《铁道科学与工程学报》2017年第7期1512-1518,共7页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(51308056);国家西部交通建设科技资助项目(2009319812050);陕西省交通运输厅科技资助项目(13-25k)

摘　　要：为探讨分阶段成形空间梁结构成形状态影响因素,基于最小势能原理推导空间梁结构无应力状态法平衡方程,分析结构最终状态的影响因素,并通过算例验证平衡方程的正确性和可靠性。研究结果表明:所推出的空间梁单元无应力状态法平衡方程正确可靠,可直接应用于分阶段成形空间梁结构任意阶段状态计算;对于由空间梁单元组成的分阶段成形结构,无论是否考虑结构的几何非线性效应,结构的最终状态只与结构体系、外荷载、边界条件以及空间梁单元的无应力状态量有关,而与结构具体的成形过程无关。In order to explore the influencing factors of the final state of the space beam element based on the shape structure,this study was aimed to derive the equilibrium equation of space beam structure of unstressed state control method based on the principle of minimum potential energy.The influencing factors of the final state of the structure,and the correctness and reliability of the equilibrium equation were analyzed and then verified by an example.The analysis results show that the equilibrium equation of unstressed state control method on space beam element is correct and reliable,which can be directly applied to the calculation of the state of any stage inthe shape space beam structure.The final state of the structure formed in stage is only related to the structural system,external load,boundary condition,the unstressed lebgth and the unstressed curvature of the spatial beam element,but not with the specific forming process.

关 键 词：斜拉桥 空间梁单元 几何非线性 分阶段成形 平衡方程 无应力状态量 

分 类 号：U441[建筑科学—桥梁与隧道工程]