建筑结构在地震作用下的能量反应分析及应用研究

【作者】 糜永红；

【导师】 汪梦甫；

【作者基本信息】 湖南大学 ， 结构工程， 2003， 硕士

【摘要】 近年来，关于能量分析方法在结构抗震设计中的应用问题受到国内外地震工程界的普遍关注，被认为是今后结构抗震设计理论的发展方向。本文从能量的基本概念入手，结合动力时程分析方法对单自由度结构、多自由度结构的能量反应进行研究。 通过采用不同的恢复力模型、阻尼比、强度系数等，分析单自由度结构在地震作用下的能量反应；同时分析了地面运动幅值与单自由度结构能量反应的关系。分析表明，单自由度结构的能量反应与其自身动力特性及地震动幅值密切相关。 本文推导了多自由度结构的能量的增量求解公式，并编制了相关的程序，结合框架—剪力墙这一常用结构体系研究多自由度结构在地震作用下的能量反应。文中采用不同的阻尼模型进行研究，分析表明，阻尼对结构的能量反应影响较大。在同一模型中，结构的阻尼耗能及其在总耗能中所占的比例随着阻尼比的增大近似线性的增加，结构滞回耗能及其在总耗能中所占的比例则相应减少；对于同一阻尼比，不同的计算模型中，阻尼耗能及滞回耗能所占总输入能的百分比中，相差的幅度可达15％～35％。不同阻尼比对同一模型中结构总输入能的影响的幅度较小。研究同时表明，结构破损指数D值随着阻尼比的增大而减少。 本文最后采用Park-Ang模型对结构损伤进行分析，说明了能量反应分析方法在地震反应与破损评估研究中的应用价值，分析表明用D值来评价结构的整体损伤是可行的。更多还原

【Abstract】 In recent years, energy-based seismic design is a hot research project, many researchers think that it is one of the development direction of earthquake engineering. On the basis of energy conception, the thesis deals with the energy response of single-degree of freedom structure and multi-degree of freedom structures by employing the method of dynamical time-history analysis.The thesis analyzes energy response of single-degree of freedom structure under seismic loads, and the influences of restoring force models, damping ratios and strength coefficients on the energy response of single-degree of freedom are discussed in details. From the analysis, it is shown that the energy response of single-degree of freedom structure is nearly correlative with its dynamic characteristics and amplitude oIn the thesis, the calculation formulas of multi-degree of freedom system energy response under seismic loads are deduced, and the corresponding program is edited. From the study of different damping models, it is shown that the damping has greater influence on energy response of structure. In the same model, damping energy of structure and its proportion of total energy are almost linearly increased with the increase of damping ratio, and hysteretic energy of structure and its proportion of total energy are accordingly decreased. For the same damping ratio, damping energy and hysteretic energy vary 15% to 35% to the input energy in different models. And the different damping ratio has little influence on the input energy in the same models. From the study, it is shown that the value of damage index is decreased with the increase of damping ratio.At last, structure damage is estimated by the Park & Ang damage model, and it is shown that the energy response is useful in seismic response and evaluation of structure damage. And it is feasible that overall damage is evaluated with damage index of D.更多还原