基于MATLAB的地震作用下SDOF体系能量响应时程分析
发布时间：2019-06-24 14:45
【摘要】：为多角度揭示地震对结构的破坏作用,从能量角度研究了单自由度非线性体系的地震响应及其特征.通过Matlab编制了基于双线性滞回模型的单自由度体系地震能量响应分析程序,计算分析了汶川地震波激励下某RC弹塑性结构的能量响应时程及能量占比时程.研究表明,滞回耗能和阻尼耗能是结构耗能主要方式.总输入能和滞回耗能总体递增,而阻尼耗能则单调递增,各能量项在总输入能中的占比主要由滞回耗能控制.结构初始刚度对各项能量响应及其最终占比有重要影响.在某特定刚度值下结构总输入能会达到峰值,且滞回耗能及其最终占比也将达到最大,偏离该特定刚度值两者都将减小.滞回耗能和阻尼耗能的占比时程,在振动初期波动较为剧烈;进入强震阶段后,当初始刚度较小时,两者占比相对稳定,而当刚度较大时,两者占比则有一定波动.
[Abstract]:In order to reveal the damage effect of earthquake on structure from many angles, the seismic response and characteristics of single degree of freedom nonlinear system are studied from the point of view of energy. The seismic energy response analysis program of a single-degree-of-freedom system based on bilinear hysteretic model is compiled by Matlab. The energy response time history and energy ratio time history of a RC elastic-plastic structure excited by Wenchuan seismic wave are calculated and analyzed. The results show that hysteretic energy consumption and damping energy consumption are the main ways of structural energy consumption. The total input energy and hysteretic energy consumption increase as a whole, while the damping energy consumption increases monotonously. The proportion of each energy term in the total input energy is mainly controlled by hysteretic energy consumption. The initial stiffness of the structure has an important influence on the energy response and its final proportion. Under a specific stiffness value, the total input energy of the structure will reach the peak, and the hysteretic energy consumption and its final ratio will also reach the maximum, and the deviation from the specific stiffness value will be reduced. The proportion time history of hysteretic energy consumption and damping energy consumption fluctuates violently at the initial stage of vibration. After entering the strong earthquake stage, when the initial stiffness is small, the proportion of the two is relatively stable, while when the stiffness is large, the proportion of the two fluctuates to a certain extent.
【作者单位】： 长沙理工大学土木与建筑学院;
【基金】：国家重点基础研究发展计划(973计划)项目(2015CB057706;2015CB057705) 国家自然科学基金项目(51108044) 湖南省教育厅科学研究项目(15C0053) 湖南省交通科技项目(201419) 长沙理工大学土木工程创新性项目(15ZDXK09)
【分类号】：TU311.3
[Abstract]:In order to reveal the damage effect of earthquake on structure from many angles, the seismic response and characteristics of single degree of freedom nonlinear system are studied from the point of view of energy. The seismic energy response analysis program of a single-degree-of-freedom system based on bilinear hysteretic model is compiled by Matlab. The energy response time history and energy ratio time history of a RC elastic-plastic structure excited by Wenchuan seismic wave are calculated and analyzed. The results show that hysteretic energy consumption and damping energy consumption are the main ways of structural energy consumption. The total input energy and hysteretic energy consumption increase as a whole, while the damping energy consumption increases monotonously. The proportion of each energy term in the total input energy is mainly controlled by hysteretic energy consumption. The initial stiffness of the structure has an important influence on the energy response and its final proportion. Under a specific stiffness value, the total input energy of the structure will reach the peak, and the hysteretic energy consumption and its final ratio will also reach the maximum, and the deviation from the specific stiffness value will be reduced. The proportion time history of hysteretic energy consumption and damping energy consumption fluctuates violently at the initial stage of vibration. After entering the strong earthquake stage, when the initial stiffness is small, the proportion of the two is relatively stable, while when the stiffness is large, the proportion of the two fluctuates to a certain extent.
【作者单位】： 长沙理工大学土木与建筑学院;
【基金】：国家重点基础研究发展计划(973计划)项目(2015CB057706;2015CB057705) 国家自然科学基金项目(51108044) 湖南省教育厅科学研究项目(15C0053) 湖南省交通科技项目(201419) 长沙理工大学土木工程创新性项目(15ZDXK09)
【分类号】：TU311.3
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