高墩稳定性分析的传递矩阵法
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摘要
基于传递矩阵法,推导了考虑重力影响的单肢高墩稳定性总传递矩阵;对于双肢高墩,根据突变点的静力平衡方程,推导了点矩阵的表达式,并利用坐标转换矩阵建立起双肢高墩静力稳定性总传递矩阵。对高墩进行了稳定性分析,得到高墩的临界荷载。传递矩阵法力学概念清晰,电算程序简单便捷,可用于高墩稳定性分析。算例表明,该方法准确、有效。
Based on transfer matrix method,total transfer matrix for stability of single high pier considering influence of gravity was got.For double high pier,according to the static equilibrium equations point mutations,deduced the point transfer matrix was deduced and using coordinate transformaton matrix,then the total transfer matrix of the double super high pier was set up,whose static stability analysis was done.Mechanical concept of transfer matrix method is clear,simple and convenient,which could be used for stability analysis of high pier.Examples show that the method is accurate and effective.
Based on transfer matrix method,total transfer matrix for stability of single high pier considering influence of gravity was got.For double high pier,according to the static equilibrium equations point mutations,deduced the point transfer matrix was deduced and using coordinate transformaton matrix,then the total transfer matrix of the double super high pier was set up,whose static stability analysis was done.Mechanical concept of transfer matrix method is clear,simple and convenient,which could be used for stability analysis of high pier.Examples show that the method is accurate and effective.
引文
[1]周国良.超高墩及大跨桥梁的地震反应特性研究[D].北京:中国地震局地球物理研究所,2004.
[2]尹俊红,李青宁.高墩抗震的传递矩阵法[J].水利与建筑工程学报,2012,10(4):55-58.
[3]李青宁.变截面杆元传递矩阵法[J].西安建筑科技大学学报,2001,33(1):18-23.
[4]孙建鹏,李青宁,曹现雷,等.压弯杆弹性弯曲分析的精细传递矩阵法[J].北京工业大学学报,2012,38(4):536-539.
[5]李青宁,梁兴文.变截面筒状高耸结构抗震传递矩阵法[J].工程力学,2002(增刊):555-558.
[6]付小军.高墩连续刚构桥稳定性计算分析[J].中国水运,2008,8(1):79-92.
[7]孙建鹏,李青宁.门式钢框架稳定分析的精细传递矩阵法[J].西安建筑科技大学学报:自然科学版,2011,43(3):374-378.
[8]Liu Qingtan,Ni Guorong.Transfer Matrix Method of Straight.Cirl-cular Beam on Elastic Foundation[J].ACMRM/Xian China.1993:24-28.
[2]尹俊红,李青宁.高墩抗震的传递矩阵法[J].水利与建筑工程学报,2012,10(4):55-58.
[3]李青宁.变截面杆元传递矩阵法[J].西安建筑科技大学学报,2001,33(1):18-23.
[4]孙建鹏,李青宁,曹现雷,等.压弯杆弹性弯曲分析的精细传递矩阵法[J].北京工业大学学报,2012,38(4):536-539.
[5]李青宁,梁兴文.变截面筒状高耸结构抗震传递矩阵法[J].工程力学,2002(增刊):555-558.
[6]付小军.高墩连续刚构桥稳定性计算分析[J].中国水运,2008,8(1):79-92.
[7]孙建鹏,李青宁.门式钢框架稳定分析的精细传递矩阵法[J].西安建筑科技大学学报:自然科学版,2011,43(3):374-378.
[8]Liu Qingtan,Ni Guorong.Transfer Matrix Method of Straight.Cirl-cular Beam on Elastic Foundation[J].ACMRM/Xian China.1993:24-28.
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