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1、第32卷第3期2015年3月公路交通科技JoumalofHighwayandTransponationResearchandDevelopmentV01.32No.3Mar.2015doi:10.3969/j.issn.1002一0268.2015.03.007準(zhǔn)飽和土中單樁豎向荷載作用下的動(dòng)力響應(yīng)李懷健1,張鴻2,徐斌2(1.交通運(yùn)輸部公路科學(xué)研究院,北京100088;2.南昌工程學(xué)院土木與建筑工程學(xué)院,江西南昌330099)摘要:根據(jù)Biot飽和多孔連續(xù)介質(zhì)波動(dòng)方程,基于Bardet對(duì)準(zhǔn)飽和土的假設(shè),提出了準(zhǔn)飽和土二相介質(zhì)波動(dòng)方程;運(yùn)用Hel
2、mholtz矢量分解和傳遞、透射矩陣法(TRM)推導(dǎo)出準(zhǔn)飽和土中層狀半空間受豎向荷載作用下的動(dòng)力響應(yīng)表達(dá)式;利用Muki虛擬樁法,在層狀半空間建立了樁和準(zhǔn)飽和土相互作用的第二類Fredholm積分方程,通過離散的數(shù)值積分方法求解積分方程,討論了準(zhǔn)飽和土中單樁豎向動(dòng)力響應(yīng)問題。算例分析表明,準(zhǔn)飽和土中樁頂豎向阻抗隨飽和度的減少而增大,與飽和土地基相比,明顯偏大;樁側(cè)孔壓隨飽和度的減小而增大,并沿著樁長(zhǎng)迅速衰減;樁頂位移幅值在頻率較小時(shí)變化明顯,飽和度越小,位移峰值越大,當(dāng)頻率較大時(shí),飽和度的變化對(duì)振幅的影響不大。關(guān)鍵詞:道路工程;準(zhǔn)飽和土;單樁動(dòng)力
3、響應(yīng);Helmholtz矢量分解;透射矩陣法(TRM)中圖分類號(hào):U412文獻(xiàn)標(biāo)識(shí)碼:A文章編號(hào):1002—0268(2叭5)03—0037—08DynamicRespOnSeS0fSIngIePiIeEmbeddedinNearIySaturatedSO¨SubjectedtoVerticaILoadLIHuai-jianl,ZHANGHon92,XUBin92(1.ResearchInstituteofHighway,Ministryof7Ihnspon,Beijing100088,china;2.SchoolofCivilEn舀neerin
4、g&Architecture,NanchangInstituteofTechnolog)r,NanchangJiaIl弘i330099,China)Abstract:A2一phasemediumwaveequationofnearlysaturatedsoilisproposedbasedonBiot’swaveequationofsaturatedporouscontinuousmediaandBardet’sassumptionregardingnearlysaturatedsoil.ApplyingtheHelmholtz’sVectord
5、ecompositionandtransmissionandTRM,thedynamicI℃sponseexpressionsof1ayeredhalf.spaceinneadysaturatedsoilunderverticalloadarederiVed.BasedonMuki6ctitionJspilemethodology,thesecondkindofFredholminteg阻lequationsdescribinginteractionbetweenpileandnearlysaturatedsoilinhalf-spacearee
6、stablished.Theinte鏟alequationsaresolVedbyusingdiscretenumericalinte鏟a1method,andtheverticaldynamicresponseofapileembeddedinnearlysaturatedsoilisdiscussed.Thenumericalresultshowsthat(1)theverticalimpedanceatthetopofthepileembeddedinnearlysaturatedsoilincI℃asesasthesatumtiondeg
7、reedecreases,anditisquitelargecomparedwiththatofthes砒uratedsoilfoundation;(2)theporepressurealongthesideofthepileincreasesasthesaturationdegreedecreasing,andattenuatesrapidlyalongthelengthofthepile;(3)thepiletop’sdisplacementchangessignificantlywhenthef詫quencyissmaU,asmallers
8、aturationdegreeresultsinalargerpeakdisplacement,butwhenthefrequencyi