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(西安交通大學(xué)，西安 710049)

［摘要］考慮層間結(jié)構(gòu)分布質(zhì)量及樓層處集中質(zhì)量，在層局部坐標(biāo)中建立運(yùn)動微分方程。建立頻域內(nèi)的層間場傳遞矩陣，利用樓層集中質(zhì)量動力平衡建立頻域內(nèi)的層間點(diǎn)傳遞矩陣。引入基礎(chǔ)動力剛度并利用基礎(chǔ)動力平衡，結(jié)合傅氏變換，得到結(jié)構(gòu)地震反應(yīng)與豎向地震作用輸入之間的關(guān)系，并給出相關(guān)求解方法。將文中模型用于求解結(jié)構(gòu)在豎向地震作用下的動力反應(yīng)，并與常用的集中質(zhì)量模型和均布質(zhì)量模型的計(jì)算結(jié)果進(jìn)行對比。算例表明，文中模型考慮了結(jié)構(gòu)實(shí)際質(zhì)量分布，用于多、高層建筑結(jié)構(gòu)的土結(jié)構(gòu)動力相互作用的分析中，結(jié)果合

理可靠，并能更好地適用于質(zhì)量和剛度分布比較復(fù)雜的結(jié)構(gòu)形式。

［關(guān)鍵詞］土-結(jié)構(gòu)動力相互作用；豎向地震反應(yīng)；頻域分析；傳遞矩陣

Frequency-domain approach for vertical dynamic soil-structure interaction

Zhu Wenwei, Zhang Shuoying

(Xi′an Jiaotong University，Xi′an 710049,China)

Abstract:In order to take into account the distributed mass along the stories of structure, equation of motion is given in the local coordinates of the story. The field transfer matrix is founded in the frequency domain and the point transfer matrixis founded by using the dynamic equilibrium of the lumped mass at the floor. The dynamic stiffness of base is introduced and the dynamic equilibrium of base isused. Structural response under vertical earthquake can be obtained through theFast Fourier Transform technique. For the sake of contrast, it gave the examples of the model and two other ordinarily used models, the lumped mass model and the uniformly distributed mass model. It showed that the method takes into account the real mass distribution, so that numerical results are more reasonable and more reliable than the other models. The model is capable of analyzing multi-stories and high-rise structures with soil-structure interaction being taken into account and could be well used in those structures with much more complicated mass and stiffness distributions.

Keywords:soil-structure interaction; vertical seismic response; frequency-domain analysis; transfer matrix