基于能量原理的平面张弦梁静力分析  

Static Analysis of Planar Beam String Structure Based on Energy Principle

作　　者：董宁娟[1] 刘海涛[2] 

机构地区：[1]中国飞机强度研究所,西安710065 [2]中交第一公路勘察设计研究院有限公司,西安710075

出　　处：《科学技术与工程》2014年第1期265-268,272,共5页Science Technology and Engineering

摘　　要：基于连续化分析模型,依据能量变分原理,建立平面张弦梁结构的平衡微分方程,采用伽辽金法求得张弦梁结构的内力与位移。对张弦梁结构在全跨荷载以及半跨荷载状态下的静力性能进行了分析。通过与有限元结果对比,验证了理论解的正确性,所得公式可为张弦梁结构的工程设计及优化研究提供参考和借鉴。Based on the continuous analysis model, according to the principle of stationary potential en- ergy, using deformation coordination method of the cable-arch structure, the static theory analysis model of beam string structure is established, through setting vertical displacement function, the analytical solu- tion of the internal force and displacement is derivated for beam string structure in full-span loads state and half-span loads state. Compared with the finite element results, the correctness of theoretical solution is verified. The formulas which are obtained in this paper can provide a reference for beam string structure en- gineering design and optimization research.

关 键 词：能量原理 张弦梁 变形协调 伽辽金法 

分 类 号：TU311.1[建筑科学—结构工程]