地震作用下单自由度体系能量响应时程分析
发布时间：2019-07-06 07:46
【摘要】：地震对结构的作用可以看成是一种能量传递和转化的过程,能量分析的方法便是在这一概念上建立起来的。目前各国的抗震设计主要通过基于力和位移的单一指标来实现,但这并不能充分体现结构在地震作用下的破坏特性,而从能量的角度描述地震作用的影响则能很好反映地震动持续时间对结构产生的累积损伤效应,具有概念清晰,计算方便的特点,且考虑了多种的因素综合作用,因此,能量法被认为是今后抗震设计的研究方向。本文以地震能量的传递、转化和耗散为出发点,从分析、计算和应用三个方面对能量法进行了研究,主要工作和结论如下：(1)通过能量转化方程对能量法进行分析,详细介绍了基于时程分析Newmark-β法的两种能量响应求解方式,并在此基础上给出了简化计算方式。(2)以单自由度体系为对象,通过matlab软件编制了基于双线性恢复力模型的能量响应的求解程序,以汶川地震记录作为输入获得了体系的能量响应时程及滞回耗能、阻尼耗能在总输入能中的占比时程。(3)通过改变初始刚度研究了总输入能、滞回耗能和阻尼耗能的变化情况,分析了滞回耗能和阻尼耗能在总输入能中所占比例大小的变化规律。研究表明,在某一特定初始刚度下,体系的总输入能最大,滞回耗能的占比也最大,而偏离这一刚度值,两者都同时呈现下降趋势。(4)本文给出了能量反应谱的建立方式和步骤,提出了以屈服强度和累积塑性位移为基础的结构损伤表达方式。
文内图片：
图片说明：图３．３ａ相对坐标系下的模型
[Abstract]:The effect of earthquake on structure can be regarded as a process of energy transfer and transformation, and the method of energy analysis is based on this concept. At present, the seismic design of various countries is mainly realized by a single index based on force and displacement, but this can not fully reflect the failure characteristics of the structure under earthquake action, and describing the influence of seismic action from the point of view of energy can well reflect the cumulative damage effect of ground motion duration on the structure, which has the characteristics of clear concept and convenient calculation, and takes into account the comprehensive action of many factors. Energy method is considered to be the research direction of seismic design in the future. In this paper, based on the transfer, transformation and dissipation of seismic energy, the energy method is studied from three aspects of analysis, calculation and application. The main work and conclusions are as follows: (1) the energy method is analyzed by energy conversion equation, and two energy response solutions based on time history analysis Newmark- 尾 method are introduced in detail, and on this basis, a simplified calculation method is given. (2) taking the single degree of freedom system as the object, The solution program of energy response based on bilinear restoring force model is compiled by matlab software. The energy response time history and hysteretic energy consumption of the system are obtained by using Wenchuan seismic record as input. (3) the variation of total input energy, hysteretic energy consumption and damping energy consumption is studied by changing the initial stiffness. The variation of the proportion of hysteretic energy consumption and damping energy consumption in the total input energy is analyzed. The results show that under a certain initial stiffness, the total input energy of the system is the largest, and the proportion of hysteretic energy consumption is the largest, while deviating from this stiffness value, both of them show a downward trend at the same time. (4) in this paper, the establishment method and steps of energy response spectrum are given, and the structural damage expression based on yield strength and cumulative plastic displacement is proposed.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TU311.3
本文编号：2510884
文内图片：
图片说明：图３．３ａ相对坐标系下的模型
[Abstract]:The effect of earthquake on structure can be regarded as a process of energy transfer and transformation, and the method of energy analysis is based on this concept. At present, the seismic design of various countries is mainly realized by a single index based on force and displacement, but this can not fully reflect the failure characteristics of the structure under earthquake action, and describing the influence of seismic action from the point of view of energy can well reflect the cumulative damage effect of ground motion duration on the structure, which has the characteristics of clear concept and convenient calculation, and takes into account the comprehensive action of many factors. Energy method is considered to be the research direction of seismic design in the future. In this paper, based on the transfer, transformation and dissipation of seismic energy, the energy method is studied from three aspects of analysis, calculation and application. The main work and conclusions are as follows: (1) the energy method is analyzed by energy conversion equation, and two energy response solutions based on time history analysis Newmark- 尾 method are introduced in detail, and on this basis, a simplified calculation method is given. (2) taking the single degree of freedom system as the object, The solution program of energy response based on bilinear restoring force model is compiled by matlab software. The energy response time history and hysteretic energy consumption of the system are obtained by using Wenchuan seismic record as input. (3) the variation of total input energy, hysteretic energy consumption and damping energy consumption is studied by changing the initial stiffness. The variation of the proportion of hysteretic energy consumption and damping energy consumption in the total input energy is analyzed. The results show that under a certain initial stiffness, the total input energy of the system is the largest, and the proportion of hysteretic energy consumption is the largest, while deviating from this stiffness value, both of them show a downward trend at the same time. (4) in this paper, the establishment method and steps of energy response spectrum are given, and the structural damage expression based on yield strength and cumulative plastic displacement is proposed.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TU311.3
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