準(zhǔn)飽和土中圓柱形襯砌的瞬態(tài)動(dòng)力響應(yīng)分析
發(fā)布時(shí)間:2018-04-21 17:44
本文選題:準(zhǔn)飽和土 + 圓柱形襯砌; 參考:《巖土力學(xué)》2015年12期
【摘要】:內(nèi)源瞬態(tài)荷載作用下圓柱形孔洞的動(dòng)力響應(yīng)解答是土動(dòng)力學(xué)的經(jīng)典問題之一。已有研究大都假設(shè)孔洞周圍土體為理想彈性介質(zhì)或完全飽和多孔介質(zhì)。然而,實(shí)際工程中不存在完全彈性和完全飽和土體。分別視襯砌結(jié)構(gòu)和周圍土體為彈性材料和準(zhǔn)飽和多孔介質(zhì)(飽和度Sr≥95%),根據(jù)牛頓第二定律、達(dá)西定律和Biot波動(dòng)理論推導(dǎo)出準(zhǔn)飽和土體的控制方程。根據(jù)邊界條件導(dǎo)出襯砌和土體的位移、應(yīng)力和孔隙壓力的Laplace變換空間的解答。利用反Laplace變換數(shù)值計(jì)算方法,將解答轉(zhuǎn)換為時(shí)域解。分析了飽和度對(duì)襯砌位移、應(yīng)力和孔壓的影響,結(jié)果表明,當(dāng)95%≤Sr≤99%時(shí),飽和度對(duì)徑向位移和切向應(yīng)力的影響較小;99%≤Sr≤100%時(shí),飽和度對(duì)徑向位移和切向應(yīng)力的影響較大;但飽和度對(duì)孔隙壓力的影響遠(yuǎn)大于對(duì)徑向位移和切向應(yīng)力的影響。得出位移、應(yīng)力和孔壓沿徑向的衰減規(guī)律,當(dāng)95%≤Sr≤99%時(shí),飽和度對(duì)徑向位移和切向應(yīng)力沿徑向衰減影響較小,99%≤Sr≤100%時(shí),飽和度對(duì)徑向位移和切向應(yīng)力沿徑向衰減影響較大,但飽和度對(duì)孔壓沿徑向的衰減影響遠(yuǎn)大于對(duì)徑向位移和切向應(yīng)力沿徑向的衰減。
[Abstract]:One of the classical problems of soil dynamics is the solution of the dynamic response of cylindrical voids under internal transient loads. Most studies have assumed that the soil around the hole is an ideal elastic medium or a fully saturated porous medium. However, there is no fully elastic and fully saturated soil in practical engineering. The lining structure and surrounding soil are regarded as elastic materials and quasi saturated porous media (Sr 鈮,
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