藏式古建筑木梁柱节点力学性能研究
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摘要
选取藏式古建筑中普遍存在的一类节点进行分析。引入空间弹簧单元,得到藏式古建筑梁柱节点连接的简化模型;并将表达空间弹簧单元的刚度矩阵的参数简化为转动刚度参数K1和拉压刚度参数K2,采用荷载位移法和多级串联弹簧模型确定K1和K2的参考值。以典型藏式建筑结构模型为算例,分别探讨两个刚度参数对结构自振特性的影响。结果表明:转动刚度改变对结构自振频率影响不大,动力分析时可将之视为刚性连接;而轴向拉压刚度改变对结构低阶自振频率影响明显,动力分析中有必要考虑雀替的竖向弹簧作用。
A type of connection widely exists in ancient Tibetan buildings is analyzed.Based on 3-D spring elements,a simplified FEM model of beam-column connection of Tibetan ancient building is obtained.It is assumed that the matrix parameters of the spring element can be described only by two stiffness named rotational stiffness K1and axial stiffness K2.The values of K1 and K2 are respectively calculated according to load-displacement curve and series spring model.An element model of typical structure frame is established,and effects of the two kinds of stiffness on natural vibration characteristics of structure are analyzed.Result shows that:the change of rotational stiffness has little effect on natural frequency of structure,and it can be seen as infinity in dynamic analysis of structure.However,the change of axial stiffness has obvious effect on natural frequency of structure,and it should be considered as a semi-rigid spring in dynamic analysis of structure.
A type of connection widely exists in ancient Tibetan buildings is analyzed.Based on 3-D spring elements,a simplified FEM model of beam-column connection of Tibetan ancient building is obtained.It is assumed that the matrix parameters of the spring element can be described only by two stiffness named rotational stiffness K1and axial stiffness K2.The values of K1 and K2 are respectively calculated according to load-displacement curve and series spring model.An element model of typical structure frame is established,and effects of the two kinds of stiffness on natural vibration characteristics of structure are analyzed.Result shows that:the change of rotational stiffness has little effect on natural frequency of structure,and it can be seen as infinity in dynamic analysis of structure.However,the change of axial stiffness has obvious effect on natural frequency of structure,and it should be considered as a semi-rigid spring in dynamic analysis of structure.
引文
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[2]Guo Ting,Yang Na.Dynamic crowd loading test on Tibetan ancient structures[C]//Environmental Vibrations Prediction,Monitoring,Mitigation and Evaluation.Beijing,2009:591-598
[3]姚侃,赵红铁,葛鸿鹏.古建木结构榫卯连接特性的试验研究[J].工程力学,2006,23(3):168-173(Yao Kan,Zhao Hongtie,Ge Hongpeng.Experimental studies on the characteristic of mortise tenon joint in historic timber building[J].Engineering Mechanics,2006,23(3):168-173(in Chinese))
[4]高大峰,赵红铁,薛建阳,等.中国古代大木作结构斗拱竖向承载力的试验研究[J].世界地震工程,2003,19(3):56-61(Gao Dafeng,Zhao Hongtie,Xue Jianyang,et al.Experimental study on structural behavior of Dougong under he vertical action in Chinese ancient timber structure[J].Word Earthquake Engineering,2003,19(3):56-61(in Chinese))
[5]张文芳,李世温,程文瀼.一类斗拱木结构恢复力特性的模型试验研究[J].东南大学学报,1997,27(增):65-70
[6]赵均海,俞茂宏,杨松岩.中国古代木结构斗拱的动力试验研究[J].实验力学,1999,14(1):106-112(Zhao Junhai,Yu Maohong,Yang Songyan.Study on dynamic test of Dougong in Chinese ancient timber building[J].Journal of Experimental Mechanics,1999,14(1):106-112(in Chinese))
[7]竺润祥,董益平,任茶仙,等.榫卯连接的古木结构静力分析[C]//第十二届全国结构工程学术会议论文集.重庆,2003:1183-1186
[8]俞茂宏,Oday,方东平,等.中国古建筑结构力学研究进展[J].力学进展,2006,36(1):43-64(Yu Maohong,Oday,Fang Dongping,et al.Advances in structural mechanic of Chinese ancient architectures[J].Advances in Mechanics,2006,36(1):43-64(in Chinese))
[9]方东平,俞茂宏,宫本裕,等.木结构古建筑结构特性计算研究[J].工程力学,2001,18(1):137-144(Fang Dongping,Yu Maohong,Miyamoto Y,et al.Numerical analysis on structural characteristics of ancient timber architecture[J].Engineering Mechanics,2001,18(1):137-144(in Chinese))
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