框架-剪力墻結(jié)構(gòu)地震響應(yīng)分析的Laplace變換法
發(fā)布時(shí)間:2018-04-03 21:32
本文選題:動(dòng)力模型 切入點(diǎn):框架-剪力墻結(jié)構(gòu) 出處:《振動(dòng)工程學(xué)報(bào)》2017年05期
【摘要】:針對(duì)框架-剪力墻結(jié)構(gòu)建立了動(dòng)力分析模型,利用Laplace變換和逆變換,推導(dǎo)了框架-剪力墻結(jié)構(gòu)的振型及其導(dǎo)數(shù)的表達(dá)式;根據(jù)邊界條件求得了框架-剪力墻結(jié)構(gòu)的頻率和振型的計(jì)算方程,并采用Betti定律得到關(guān)于其分布質(zhì)量和分布剛度的正交條件;同時(shí)利用正交條件對(duì)框架-剪力墻結(jié)構(gòu)的運(yùn)動(dòng)方程進(jìn)行解耦,經(jīng)振型疊加得到結(jié)構(gòu)地震激勵(lì)下的響應(yīng);最后通過(guò)算例與有限元模型、已有方法對(duì)比,驗(yàn)證了所建立動(dòng)力模型的正確性。
[Abstract]:The dynamic analysis model of frame-shear wall structure is established. By using Laplace transform and inverse transformation, the expressions of vibration mode and its derivative of frame-shear wall structure are derived.According to the boundary conditions, the calculation equations of the frequency and mode shape of the frame-shear wall structure are obtained, and the orthogonal conditions about the distributed mass and the distributed stiffness are obtained by using Betti's law.At the same time, the motion equation of frame-shear wall structure is decoupled by orthogonal condition, and the response under earthquake excitation is obtained by mode superposition. Finally, through the example and finite element model, the existing methods are compared.The correctness of the dynamic model is verified.
【作者單位】: 北京工業(yè)大學(xué)建筑工程學(xué)院;廣州大學(xué)工程抗震研究中心;
【基金】:長(zhǎng)江學(xué)者創(chuàng)新團(tuán)隊(duì)項(xiàng)目(IRT13057) 國(guó)家自然科學(xué)基金資助項(xiàng)目(51048142,51478131) 廣東省科技計(jì)劃項(xiàng)目(2014TX01C141)
【分類號(hào)】:TU973.16
【相似文獻(xiàn)】
相關(guān)期刊論文 前2條
1 王新輝,繆林昌,高健康,趙■;Laplace變換解雙層地基固結(jié)問(wèn)題[J];巖土力學(xué);2005年05期
2 張偉;Laplace變換—有限元法計(jì)算結(jié)構(gòu)動(dòng)響應(yīng)[J];武漢大學(xué)學(xué)報(bào)(工學(xué)版);2002年06期
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