本文關(guān)鍵詞： DFPS Lagrange方程 層間位移 摩擦系數(shù) 龍格-庫塔方法　出處：《河北聯(lián)合大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

【摘要】：現(xiàn)代隔震技術(shù)發(fā)展迅速，雙滑動面摩擦擺（DFPS）隔震系統(tǒng)是其中一種有效的隔震技術(shù)。自從Zayas在1985年提出FPS的概念和初步模型后，很多國內(nèi)外專家對其進(jìn)行了理論分析和實(shí)驗(yàn)研究，并廣泛應(yīng)用在橋梁與建筑等工程中。DFPS隔震系統(tǒng)在FPS基礎(chǔ)上提出，提供了一種新型的模型，DFPS通過滑塊在滑道上的摩擦來耗散地震能量，通過中間滑塊相應(yīng)的轉(zhuǎn)動與滑動來適應(yīng)地震傳遞給上層結(jié)構(gòu)的位移影響，可以拉長隔震結(jié)構(gòu)的自振周期，達(dá)到隔震的功效。因此，影響DFPS隔震系統(tǒng)隔震效果的控制因素有兩個，，即滑道半徑r和滑道的摩擦系數(shù)μ。 設(shè)定七層框架結(jié)構(gòu)為研究對象，在其基礎(chǔ)與上層結(jié)構(gòu)之間設(shè)置DFPS隔震系統(tǒng)，通過實(shí)際的計算分析其在地震反應(yīng)下的運(yùn)動狀態(tài)，并分析DFPS隔震系統(tǒng)是否具有隔震效果。運(yùn)用Lagrange方程推導(dǎo)出地震反應(yīng)下設(shè)置DFPS隔震系統(tǒng)和無隔震系統(tǒng)的兩種結(jié)構(gòu)的運(yùn)動方程，并以龍格—庫塔法為依據(jù)、MATLAB軟件為載體求解結(jié)構(gòu)在地震作用下的運(yùn)動狀態(tài)。通過比較兩種情況下的的最大樓層位移、最大層間位移、最大樓層速度以及最大樓層加速度，來得到DFPS隔震系統(tǒng)在隔震效果最佳時其滑道半徑r和摩擦系數(shù)μ的最佳組合。 通過計算和比較可以得到以下結(jié)論：結(jié)構(gòu)的最大樓層位移、最大層間位移、最大樓層速度以及最大樓層加速度均明顯減小，說明DFPS隔震系統(tǒng)具有良好的隔震效果，滑道半徑r對DFPS隔震效果的影響比較小，摩擦系數(shù)μ的影響比較大，當(dāng)μ的取值在0.01~0.15之間時，DFPS的隔震效果較好。
[Abstract]:The modern isolation technology is developing rapidly, and the double sliding surface friction pendulum (DFPS) isolation system is one of the effective isolation techniques. Since Zayas put forward the concept and preliminary model of FPS in 1985, many experts at home and abroad have carried out theoretical analysis and experimental research on it. And it is widely used in bridge and building engineering. DFPS isolation system is put forward on the basis of FPS, which provides a new model to dissipate seismic energy by friction of slider on slide track. Through the corresponding rotation and sliding of the intermediate slider to adapt to the displacement effect transmitted by the earthquake to the upper structure, the natural vibration period of the isolated structure can be lengthened and the effect of isolation can be achieved. Therefore, there are two controlling factors that affect the isolation effect of the DFPS isolation system. That is, the radius r of the slide track and the friction coefficient 渭 of the slide track. The seven-story frame structure is set up as the research object, and the DFPS isolation system is set up between the foundation and the upper structure. The motion state of the structure under the earthquake response is analyzed by actual calculation. The motion equations of two structures with DFPS isolation system and no isolation system under seismic response are derived by using Lagrange equation. The maximum floor displacement, maximum floor displacement, maximum floor velocity and maximum floor acceleration are compared by using Runge-Kutta method as the carrier software to solve the motion state of the structure under earthquake action, by comparing the maximum floor displacement, the maximum floor displacement, the maximum floor velocity and the maximum floor acceleration. The optimum combination of slip radius r and friction coefficient 渭 of DFPS isolation system is obtained when the isolation effect is optimal. Through calculation and comparison, the following conclusions can be obtained: the maximum floor displacement, the maximum floor displacement, the maximum floor velocity and the maximum floor acceleration of the structure are obviously reduced, which indicates that the DFPS isolation system has a good isolation effect. The influence of slide radius r on the isolation effect of DFPS is relatively small, and the friction coefficient 渭 is greater. When the value of 渭 is between 0.01 and 0.15, the isolation effect of DFPS is better.
【學(xué)位授予單位】：河北聯(lián)合大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU352.12

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