【摘要】：本文采用帶支撐一般積分型粘彈性阻尼器模型,分別用傳遞矩陣法以及隨機(jī)平均法對(duì)耗能隔震結(jié)構(gòu)在地震激勵(lì)下的響應(yīng)以及基于抗震規(guī)范的地震作用取值方法進(jìn)行了研究。首先,采用帶支撐的粘彈性積分本構(gòu)關(guān)系,進(jìn)行耗能隔震結(jié)構(gòu)的微分積分方程組的精確建模。將上部結(jié)構(gòu)的位移按照前N階振型展開,得到結(jié)構(gòu)用前N階振型表示的積分微分方程組。利用傳遞矩陣法,在非擴(kuò)階的原始空間上直接獲得結(jié)構(gòu)在任意地震激勵(lì)下的位移、速度和阻尼器受力的瞬態(tài)響應(yīng)解析表達(dá)式。針對(duì)3種平穩(wěn)和9種非平穩(wěn)地震激勵(lì)模型,獲得了帶支撐積分型粘彈性阻尼耗能隔震結(jié)構(gòu)的位移、速度和阻尼器受力響應(yīng)的平穩(wěn)與非平穩(wěn)均方響應(yīng)解析解。其次,運(yùn)用隨機(jī)平均法將耗能隔震結(jié)構(gòu)的微分積分方程組轉(zhuǎn)化為二階等效定常系統(tǒng)的微分方程組,利用傳遞矩陣法對(duì)等效系統(tǒng)進(jìn)行求解,得到耗能隔震結(jié)構(gòu)的位移和速度響應(yīng)的近似解析解。并針對(duì)平穩(wěn)與非平穩(wěn)地震激勵(lì)模型,獲得了帶支撐積分型粘彈性耗能隔震結(jié)構(gòu)的隨機(jī)響應(yīng)方差的解析表達(dá)式。以傳遞矩陣法的結(jié)果為參照,將隨機(jī)平均法的結(jié)果與模態(tài)應(yīng)變能法對(duì)比分析,得出了隨機(jī)平均法具有較高的精度。最后,在白噪聲地震激勵(lì)下,通過恒等變換,將傳遞矩陣法與隨機(jī)平均法得到的結(jié)構(gòu)響應(yīng)方差分解為系列一階、二階標(biāo)準(zhǔn)振子響應(yīng)方差的線性組合;然后,將結(jié)構(gòu)響應(yīng)極值的平方分解為系列一階、二階標(biāo)準(zhǔn)振子極值響應(yīng)方差的線性組合;根據(jù)系列標(biāo)準(zhǔn)振子的極值響應(yīng)與響應(yīng)方差之間的對(duì)應(yīng)關(guān)系,建立了耗能隔震結(jié)構(gòu)基于規(guī)范反應(yīng)譜的極值效應(yīng)及等效靜態(tài)地震作用取值的精確與近似解析分析方法。
[Abstract]:In this paper, the general integral viscoelastic damper model with braces is used to study the response of energy-dissipation isolated structures under earthquake excitation and the seismic action selection method based on seismic code by using transfer matrix method and stochastic average method, respectively. Firstly, the differential integral equations of energy-dissipation isolated structures are modeled accurately by using the viscoelastic integral constitutive relation with support. The displacements of the superstructure are expanded according to the former N-order modes, and the integro-differential equations of the structures expressed by the pre-N-order modes are obtained. By using the transfer matrix method, the analytical expressions of the displacement, velocity and the transient response of the dampers under arbitrary earthquake excitation are obtained directly in the non-extended original space. For three kinds of stationary and nine kinds of non-stationary seismic excitation models, the analytical solutions of displacement, velocity and force response of dampers with integral viscoelastic damping are obtained. Secondly, the differential and integral equations of energy-dissipation isolated structures are transformed into the differential equations of second-order equivalent time-invariant systems by means of stochastic averaging method, and the equivalent systems are solved by the transfer matrix method. An approximate analytical solution of displacement and velocity response of energy-dissipation isolated structures is obtained. For stationary and non-stationary seismic excitation models, an analytical expression of random response variance of an integral viscoelastic energy dissipation isolated structure with support is obtained. By comparing the results of the transfer matrix method with the modal strain energy method, it is concluded that the stochastic average method has a higher accuracy. Finally, under the excitation of white noise earthquake, the structural response variance obtained by the transfer matrix method and the stochastic average method is decomposed into a series of linear combinations of the first order and the second order standard oscillator response variance through the identity transformation. Then, the square of the structural response extremum is decomposed into a series of linear combinations of first-order, second-order standard oscillator extreme response variance. According to the corresponding relationship between extreme response and response variance of a series of standard vibrators, an accurate and approximate analytical method for determining the extreme value effect and equivalent static seismic action of energy-dissipation isolated structures based on the gauge response spectrum is established.
【學(xué)位授予單位】：廣西科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TU352.1

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