累积变形影响下的半刚性节点古建木柱正截面压应力及承载力解析解
Normal section’s compression stress and bearing capacity analytical solution of ancient wood column semi-rigid connection joints influenced by cumulative deformation

摘要 古建筑木结构在长期竖向荷载作用下会产生累积变形，针对累积变形古建筑木柱在竖向荷载作用下平面应力问题，运用弹性力学方法求解了应力与位移分量及屈服荷载解析解.结合半逆解求解方式和等效荷载法，将累积变形柱进行了等效简化，对于古建筑端部半刚性特性，运用位移和应力边界条件进行处理.研究结果表明：柱跨中侧向挠曲变形对截面压应力影响大，而端部侧移影响较小；半刚性节点的非线性对截面压应力影响显著.通过Ansys数值计算与理论公式进行了对比，讨论了累积变形对木柱屈服荷载的影响，解析解与数值解结果吻合良好.研究结果对长期竖向荷载作用下有累计残损变形的古建木柱力学状态评估有一定的借鉴意义.
Abstract：The ancient wood structure subject to accumulative deformation under long-term vertical load. Aiming to solve the problem of plane stress for the ancient building’s wooden column under vertical load, analytical solutions of the stress, displacement component and the yield load are proposed by using elasticity mechanics. The semi-inverse solution is combined with the equivalent load method to get the equivalent simplification of the accumulative deformation column. For the semi-rigid characteristic of the ancient building’s terminal part, the displacement and stress boundary are adjusted to solve it. The results show that the lateral deflection of the column cross section has a great influence on the sectional compressive stress and a smaller influence on the lateral displacement at terminal part. At the same time, the semi-rigid joints’ nonlinearity characteristic affects the sectional compressive stress significantly. The influence of accumulative deformation on the yield load of the wooden column is discussed through comparing the numerical simulation by Ansys with the theoretical formula, which are mutually consistent. This paper has referential significance on the state evaluation of wooden column’s accumulative deformation under long-term vertical load.