带转换层商住楼的地震输入能仿真研究
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摘要
研究地震问题,针对商住楼住宅结构地震时易产生应力突变问题,为提高抗震能力,对带转换层的商住楼在地震作用下的输入能进行研究。传统方法将多自由度模型简化为第一振型等效的单自由度系统再计算输入能,但商住楼模型精度不够。根据振型分解法导出了弹性多自由度系统与弹性单自由度系统地震输入能之间的关系,并采用直接积分法推导出了结构各层的输入能量,并进行仿真。结果表明,弹性多自由度系统的地震总输入能可以由所有振型的地震输入能线性叠加得到。通过对转换层模型进行分析发现结构总输入能可以由前几阶振型输入能叠加得到,且精度较高,明确地震输入能量会在转换层发生聚集,各层能量分析更准确,可为设计提供参考。
The research on seismic energy response of the high-rise buildings with transfer story is carried out by the guidance of the concept of energy based on seismic design method.Traditionally the input energy is calculated after the MDOF is simplified to the SDOF.However,using this method with the model may lack accuracy.The relationship between the elastic input energy of the MDOF and the elastic input energy of the SDOF is derived based on Mode-Superposition method,also the input energy of every floor is figure out by time history analysis method.The research results show that the input energy of the elastic MDOF can be expressed as a linear combination of the input energy of every vibration mode.The research on the example indicates that the first few modes are sufficient to obtain the input energy.The energy concentration will occur at transfer story,and that is proportional to the mass,inversely proportional to the stiffness.
The research on seismic energy response of the high-rise buildings with transfer story is carried out by the guidance of the concept of energy based on seismic design method.Traditionally the input energy is calculated after the MDOF is simplified to the SDOF.However,using this method with the model may lack accuracy.The relationship between the elastic input energy of the MDOF and the elastic input energy of the SDOF is derived based on Mode-Superposition method,also the input energy of every floor is figure out by time history analysis method.The research results show that the input energy of the elastic MDOF can be expressed as a linear combination of the input energy of every vibration mode.The research on the example indicates that the first few modes are sufficient to obtain the input energy.The energy concentration will occur at transfer story,and that is proportional to the mass,inversely proportional to the stiffness.
引文
[1]耿娜娜,徐培福.带转换层筒体结构的刚度和剪力分布突变[J].建筑科学,2002,18(3):6-10.
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[8]程光煜,叶列平.弹性SDOF系统的地震输入能量谱[J].工程抗震与加固改造,2006,28(5):1-8.
[9]王呼佳,陈洪军.ANSYS工程分析进阶实例[M].北京:中国水利水电出版社,2006.159-160.
[2]HAkiyama.Earthquake-Resistant Limit-State Design for Build-ings[M].Tokyo:Univ of Tokyo Press,1985.
[3]G W Housner.Limit design of structures to resist earthquake[C].Proceeding of First World Conference on Earthquake,EngineeringBerkeley,CA,1956.5-1~5-11.
[4]W E McKevitt et al.Hysteretic energy spectra in seismic design,proceeding of seventh world conference on earthquake engineering[J].Structural spects,part4,7:487-494.
[5]Chung-CheChou and Chia-MingUang.Establishing absorbed en-ergy spectra?an attenuation approach[J].Earthquake Engineer-ing and Structure Dynamics,2000,29:1441-1455.
[6]V V Bertero,C MUang.Issues and future directions in the use ofan energy approach for seismic-resistant design of structures[C].Nolinear Seismic Analysis and Design of Reinforced Concrete,Elsevier,1992.3-22.
[7]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.
[8]程光煜,叶列平.弹性SDOF系统的地震输入能量谱[J].工程抗震与加固改造,2006,28(5):1-8.
[9]王呼佳,陈洪军.ANSYS工程分析进阶实例[M].北京:中国水利水电出版社,2006.159-160.