基于能量原理的平面张弦梁静力分析

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。

Static Analysis of Planar Beam String Structure Based on Energy Principle

Based on the continuous analysis model, according to the principle of stationary potential energy,, 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 solution 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 obtained in this paper can provides a reference and reference for Beam String Structure engineering design and optimization research.