【摘要】：水平成層場(chǎng)地地震響應(yīng)的數(shù)值算法隨著計(jì)算機(jī)技術(shù)的進(jìn)步得到了空前的發(fā)展,但解析算法的發(fā)展卻十分緩慢,且只能在某些模型足夠簡(jiǎn)單,條件足夠理想的情況下適用,特別是地裂縫場(chǎng)地條件下的解析算法更是十分少見。本文在現(xiàn)存地裂縫理論的研究基礎(chǔ)之上,結(jié)合彈性波動(dòng)理論,歸納出一種地裂縫場(chǎng)地地震響應(yīng)的解析解算法,通過計(jì)算對(duì)比分析,結(jié)果表明:1、用剪切梁法和集中質(zhì)量法求解水平成層場(chǎng)地條件下的地震響應(yīng),與有限元法計(jì)算結(jié)果相近,土層對(duì)地震波有放大效應(yīng),且計(jì)算結(jié)果受分層數(shù)、軟弱土層和阻尼比等因素的影響。2、正弦簡(jiǎn)諧波輸入下,透過單層和多層覆蓋無(wú)裂縫場(chǎng)地的地震波在地表響應(yīng)量均得到了放大,且對(duì)于低頻入射波地震反應(yīng)量增大更為明顯,輸入正弦波的頻率接近土層的基頻時(shí)地震響應(yīng)量最大;與文獻(xiàn)解相近,證明了本文提出的波動(dòng)解析法的合理性。3、基于本文的波動(dòng)解析法,在正弦簡(jiǎn)諧波輸入下,透過單一地裂縫場(chǎng)地的地震波在地表處的地震響應(yīng)同樣得到了放大,且放大效應(yīng)較非地裂縫場(chǎng)地更為顯著,對(duì)低頻波的放大效應(yīng)同樣高于高頻波;因地裂縫上下盤的物理力學(xué)性質(zhì)存在明顯差異,致使上盤的放大效應(yīng)大于下盤,地裂縫上下盤的放大效應(yīng)均隨著與裂縫距離的增大而逐漸減小。
[Abstract]:With the development of computer technology, the numerical algorithm for seismic response of horizontally stratified sites has been developed unprecedentedly, but the development of analytical algorithm is very slow, and it can only be applied in some cases where the model is simple enough and the conditions are ideal enough, especially in the case of ground fissures. Based on the study of fracture theory and elastic wave theory, an analytical solution algorithm for seismic response of ground fissure site is proposed. The results show that: 1. The shear beam method and the lumped mass method are used to solve the seismic response of horizontally stratified site, which are similar to the results of finite element method. The magnification effect is affected by the number of layers, the soft soil layer and the damping ratio. 2. Under the sinusoidal harmonic input, the seismic response of the crack-free site covered by single layer and multi-layers is amplified, especially for the low-frequency incident wave. The frequency of the input sinusoidal wave is close to the soil layer. The results show that the wave analysis method proposed in this paper is reasonable. 3. Based on the wave analysis method proposed in this paper, the seismic response at the surface of a single ground fissure site is also amplified by sinusoidal harmonic input, and the amplification effect is more significant than that at a non-ground fissure site. The amplification effect of low-frequency wave is also higher than that of high-frequency wave, and the amplification effect of upper wall is larger than that of lower wall because of the obvious difference of physical and mechanical properties between upper wall and lower wall of ground fissure.
【學(xué)位授予單位】：長(zhǎng)安大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TU435;P315

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