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地震作用下單自由度體系能量響應(yīng)時程分析

發(fā)布時間:2019-07-06 07:46
【摘要】:地震對結(jié)構(gòu)的作用可以看成是一種能量傳遞和轉(zhuǎn)化的過程,能量分析的方法便是在這一概念上建立起來的。目前各國的抗震設(shè)計(jì)主要通過基于力和位移的單一指標(biāo)來實(shí)現(xiàn),但這并不能充分體現(xiàn)結(jié)構(gòu)在地震作用下的破壞特性,而從能量的角度描述地震作用的影響則能很好反映地震動持續(xù)時間對結(jié)構(gòu)產(chǎn)生的累積損傷效應(yīng),具有概念清晰,計(jì)算方便的特點(diǎn),且考慮了多種的因素綜合作用,因此,能量法被認(rèn)為是今后抗震設(shè)計(jì)的研究方向。本文以地震能量的傳遞、轉(zhuǎn)化和耗散為出發(fā)點(diǎn),從分析、計(jì)算和應(yīng)用三個方面對能量法進(jìn)行了研究,主要工作和結(jié)論如下:(1)通過能量轉(zhuǎn)化方程對能量法進(jìn)行分析,詳細(xì)介紹了基于時程分析Newmark-β法的兩種能量響應(yīng)求解方式,并在此基礎(chǔ)上給出了簡化計(jì)算方式。(2)以單自由度體系為對象,通過matlab軟件編制了基于雙線性恢復(fù)力模型的能量響應(yīng)的求解程序,以汶川地震記錄作為輸入獲得了體系的能量響應(yīng)時程及滯回耗能、阻尼耗能在總輸入能中的占比時程。(3)通過改變初始剛度研究了總輸入能、滯回耗能和阻尼耗能的變化情況,分析了滯回耗能和阻尼耗能在總輸入能中所占比例大小的變化規(guī)律。研究表明,在某一特定初始剛度下,體系的總輸入能最大,滯回耗能的占比也最大,而偏離這一剛度值,兩者都同時呈現(xiàn)下降趨勢。(4)本文給出了能量反應(yīng)譜的建立方式和步驟,提出了以屈服強(qiáng)度和累積塑性位移為基礎(chǔ)的結(jié)構(gòu)損傷表達(dá)方式。
文內(nèi)圖片:圖3.3a相對坐標(biāo)系下的模型
圖片說明:圖3.3a相對坐標(biāo)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.
【學(xué)位授予單位】:長沙理工大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2014
【分類號】:TU311.3

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