张弦梁理论微分方程近似推导

张弦梁作为一种新型工程结构，已广泛应用在实际的屋盖结构等中。本文基于大位移广义变分原理，在线性弹性理论下，考虑加劲梁轴向压缩应变能的影响，通过建立张弦梁的不完全大位移广义势能泛函的函数，由约束条件变分推导出张弦梁的基础微分方程，最终得到张弦梁的基础微分方程近似于能量原理的弹性理论下的微分方程这一结论，同时也为阐述张弦梁静力行为提供了理论依据。

Approximate Derivation of Differential Equations for Beam String Structure's Theory

As a new type of engineering structure, Beam String Structure has been widely used in practical roof structures. In this paper, the large displacement based on the generalized variational principle, the linear elastic theory, considering the influence of axial compressive energy of stiffening girder, function through the establishment of the Beam String Structure shift large incomplete generalized potential energy functional, the basic differential equations by the variational constraint conditions derived from Beam String Structure, eventually got the conclusion based on elastic theory of differential equation the Beam String Structure equation is similar to the principle of energy, but also provides the theoretical basis for expounding Beam String Structure static behavior.