基于能量反应谱的结构能量反应竖向分布研究
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摘要
为了研究能量反应沿楼层的分布特征与规律,文章对糖葫芦串模型进行了楼层能量反应研究,实现了能量反应谱法在弹性楼层能量反应中的应用;研究了楼层能量反应的模态非耦合计算方法的适用性,推导了应用能量反应谱法后结构弹性能量反应沿竖向分布的表达式,提出了结构一致振型及一致刚度振型的概念,并阐述了此2种振型在楼层能量竖向分布中的意义。算例表明,该文提出的楼层能量反应谱法可以准确地估计楼层能量反应的最大值,第1阶振型的贡献很大,尤其是对楼层变形能。
In order to study the energy distribution rule along the floor,research on story energy response is carried out for the layered model,and the application of energy response spectrum in the elastic story energy response is accomplished.Applicability of the mode-uncoupled simplified story energy is assessed,and the expression of structural elastic energy response's vertical distribution is forwarded thereafter.The concepts of consistent modal shape and its corresponding stiffness-mode shape are given,with their physical significance to story energy's vertical distribution expatiated.Numerical examples show the accuracy of the proposed method in estimating the maximum story energy response,and the first modal energy's participation takes the most part generally,especially for the deformation energy.
In order to study the energy distribution rule along the floor,research on story energy response is carried out for the layered model,and the application of energy response spectrum in the elastic story energy response is accomplished.Applicability of the mode-uncoupled simplified story energy is assessed,and the expression of structural elastic energy response's vertical distribution is forwarded thereafter.The concepts of consistent modal shape and its corresponding stiffness-mode shape are given,with their physical significance to story energy's vertical distribution expatiated.Numerical examples show the accuracy of the proposed method in estimating the maximum story energy response,and the first modal energy's participation takes the most part generally,especially for the deformation energy.
引文
[1]常磊,叶献国.结构能量反应的振型分解法研究[J].合肥工业大学学报:自然科学版,2010,33(7):1035-1038,1052.
[2]常磊,叶献国.结构能量振型分解反应谱法[J].合肥工业大学学报:自然科学版,2010,33(8):1202-1207.
[3]Shen J,Akbas B.Seismic energy demand in steel momentframes[J].Journal of Earthquake Engineering,1999,3(4):519-559.
[4]Chang Lei,Ye Xianguo,Li Kangning.Analysis of seismicenergy response and distribution of RC frame structures[C/CD]//The 14th Word Conference on Earthquake Engi-neering,Beijing,China,2008:Paper ID14-0224.Beijing:China Earthquake Administration,2008.
[5]常磊,叶献国,李康宁.高层混凝土基础隔震结构的损伤与耗能评价[J].土木工程学报,2010,34(9):22-31.
[6]常磊.楼层能量的概念及其不平衡原理[EB/OL].[2010-02-24].http://www.paper.edu.cn/paper.php?serial-number=200912-722.
[7]常磊,叶献国,蒋庆.弹性楼层能量反应的振型非耦合简化表达[J].合肥工业大学学报:自然科学版,2010,33(10):1527-1530.
[8]盛宏玉.结构动力学[M].合肥:合肥工业大学出版社,2005:77-78.
[9]周云,乐登,邓雪松.设计用地震动总输入能量谱研究[J].工程抗震与加固改造,2008,30(5):1-7.
[2]常磊,叶献国.结构能量振型分解反应谱法[J].合肥工业大学学报:自然科学版,2010,33(8):1202-1207.
[3]Shen J,Akbas B.Seismic energy demand in steel momentframes[J].Journal of Earthquake Engineering,1999,3(4):519-559.
[4]Chang Lei,Ye Xianguo,Li Kangning.Analysis of seismicenergy response and distribution of RC frame structures[C/CD]//The 14th Word Conference on Earthquake Engi-neering,Beijing,China,2008:Paper ID14-0224.Beijing:China Earthquake Administration,2008.
[5]常磊,叶献国,李康宁.高层混凝土基础隔震结构的损伤与耗能评价[J].土木工程学报,2010,34(9):22-31.
[6]常磊.楼层能量的概念及其不平衡原理[EB/OL].[2010-02-24].http://www.paper.edu.cn/paper.php?serial-number=200912-722.
[7]常磊,叶献国,蒋庆.弹性楼层能量反应的振型非耦合简化表达[J].合肥工业大学学报:自然科学版,2010,33(10):1527-1530.
[8]盛宏玉.结构动力学[M].合肥:合肥工业大学出版社,2005:77-78.
[9]周云,乐登,邓雪松.设计用地震动总输入能量谱研究[J].工程抗震与加固改造,2008,30(5):1-7.
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