考虑初始倾斜的带侧脚摇摆木柱抗侧力力学模型研究

STUDY ON THEORETICAL MODEL OF LATERAL RESISTANCE FOR ROCKING WOODEN COLUMN WITH LATERAL INCLINED ANGLE CONSIDERING INITIAL INCLINATION

  • 摘要: 侧脚是古建筑木结构中木柱的一种独特营造方式,是木柱受力性能分析不可忽略的影响因素。与直立木柱相比,带侧脚木柱的抗侧力不再关于柱轴线对称,直立木柱的抗侧力以及柱脚的弯矩不再适用于评估带侧脚木柱的受力性能。因此,该文通过分析带侧脚木柱的摇摆过程,根据变形协调和弯矩平衡条件,提出了带侧脚木柱在摇摆状态下木柱抬升的临界条件以及柱脚在全压和偏压两种工作状态下的剩余弯矩和抗侧力的计算公式。基于《营造法式》确定了木柱侧脚的大小,通过ABAQUS建立了侧脚为0.01 rad的木柱数值模型,通过对比带侧脚木柱的理论模型和精细化数值模拟,发现理论模型与模拟结果吻合较好。结果表明:带侧脚的木柱正向(倾斜方向)抗侧力比直立木柱的降低21%。研究成果对古建筑木结构抗震性能分析具有重要理论意义和工程应用价值。

     

    Abstract: The lateral inclined angle is a unique construction method for the wooden column in the ancient wooden structure, it is an important factor that cannot be ignored in the analysis of the mechanical performance of the wooden column. Compared with the vertical column, the lateral force of the column with lateral inclined angle is no longer symmetrical about the vertical axis of the column, and the lateral force and the restoring bending moment of the vertical column are not suitable for evaluating the mechanical performance of the column with lateral inclined angle. By analyzing the rocking process of the column with lateral inclined angle, the conditions of deformation coordination and bending moment balance conditions, the critical conditions of the lifting of the column with lateral inclined angle during positive and negative rocking are proposed. And the calculation formula for the residual bending moment of the column foot and lateral resisting force of column in the full compression and bias compression working states are proposed. The lateral inclined angle of the column is determined by the grounds of the 'Ying Zao Fa Shi'. The numerical simulation model of the column with a lateral inclined angle of 0.01 rad is established by ABAQUS. The theoretical results are verified up on the numerical simulation of the column with lateral inclined angle. The results show that the positive (in the inclined direction) lateral resistance of the column with lateral inclined angle is 21% lower than that of the vertical column. The research results have an important theoretical significance and engineering application value for the seismic performance analysis of columns in ancient wooden structures.

     

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