考虑柱体摇摆效应的半刚性榫卯柱架弹性抗侧刚度简化计算方法  

Simplified calculation method for elastic lateral stiffness of semi-rigid mortise-tenon frame considering rocking column

作　　者：张锡成 胡成明 韩乙楠 ZHANG Xicheng;HU Chengming;HAN Yinan(School of Civil Engineering, Key Lab of Structural Engineering and Earthquake Resistance, Ministry of Education, Xi'an University of Architecture & Technology, Xi'an 710055, P. R. China)

机构地区：[1]西安建筑科技大学土木工程学院,结构工程与抗震教育部重点实验室,西安710055

出　　处：《土木与环境工程学报（中英文）》2022年第2期72-82,共11页Journal of Civil and Environmental Engineering

基　　金：国家自然科学基金(51508454);陕西省自然科学基础研究基金(2019JM-078)。

摘　　要：为了准确描述半刚性榫卯柱架在水平荷载下的抗侧行为,提出能够综合考虑榫卯节点半刚性和柱体摇摆效应的弹性杆弹簧单元的简化分析模型。分别采用直接刚度法和静力凝聚法计算得到柱架的整体刚度矩阵和抗侧刚度表达式,通过计算值和拟静力试验结果的对比,验证了模型的有效性。选取木材弹性模量、榫卯刚度、柱高及竖向荷载为研究对象进行拓展参数分析,结果表明:考虑柱体摇摆的柱架抗侧刚度明显大于不考虑时的刚度;弹性模量对抗侧刚度的影响很小;柱体摇摆对柱架抗侧刚度的影响程度随节点刚度的增大而逐渐降低;柱高越大,柱架的抗侧刚度越小;竖向荷载对柱架的抗侧性能有明显的提升作用。根据参数分析结果,进一步提出基于刚性杆弹簧单元的实用计算方法,计算误差稳定在10%左右,可以满足工程精度要求。In order to accurately describe the lateral behavior of semi-rigid mortise-tenon frame under horizontal load,a simplified analysis model with elastic rod-spring element is proposed,which can comprehensively consider the semi-rigid effect of mortise-tenon joint and rocking column effect.The global stiffness matrix and lateral stiffness expression of the frame are obtained by direct stiffness method and static condensation method respectively.The proposed model is verified by comparing the calculated values with the low cyclic loading test results.The wood elastic modulus,mortise-tenon stiffness,column height and vertical load were selected as analytical parameters.The parameter results show that the lateral stiffness of the frame with consideration of rocking column is significantly greater than that without consideration.The influence of elastic modulus on the lateral stiffness is very small;The influence of rocking column on the lateral stiffness is gradually reduced with the increase of joint stiffness;The higher the column height,the smaller the column lateral stiffness.The vertical load can significantly improve the lateral performance of the frame.According to the results of parameter analysis,a practical calculation method based on rigid rod-spring element is further proposed.The calculation error is stable at about 10%,which can meet the requirements of engineering accuracy.

关 键 词：木结构古建筑 榫卯节点 柱体摇摆 抗侧刚度 恢复力模型 

分 类 号：TU366.2[建筑科学—结构工程]