分?jǐn)?shù)導(dǎo)數(shù)粘彈性土層模型中樁基豎向振動特性研究_圖文

1、 182 工 程 力 6 學(xué) 5 結(jié)論 在考慮三維波動效應(yīng)的條件下，綜合運(yùn)用分?jǐn)?shù) 導(dǎo)數(shù)理論、土動力學(xué)理論和樁基動力學(xué)相關(guān)理論， 并借助于分離變量法等手段，研究了分?jǐn)?shù)導(dǎo)數(shù)粘彈 性土中樁基的豎向振動問題。由于土體的力學(xué)行為 受溫度、濕度、孔隙率等環(huán)境的影響較大，利用分 數(shù)導(dǎo)數(shù)粘彈性模型來描述土體的應(yīng)力-應(yīng)變關(guān)系， 從 而達(dá)到精確刻畫土體力學(xué)特性的目的。通過研究發(fā) 現(xiàn)分?jǐn)?shù)導(dǎo)數(shù)粘彈性土中樁基的豎向振動受分?jǐn)?shù)導(dǎo) 數(shù)的階數(shù)、土體模型參數(shù)和長徑比的影響較大，為 了更好的進(jìn)行樁機(jī)抗震設(shè)計和樁基檢測，需要綜合 考慮樁基和土體的力學(xué)特性。 參考文獻(xiàn)： 1 Nogami T, Novak M. Soil-pile

2、interaction in vertical vibration J. Earthquake Engineering and Structural Dynamics, 1976, 4: 277293. Novak M, Nogami T, Aboul-Ella F. Dynamic soil reactions for plane strain case J. Jounal of Engineering Mechanics, 1978, 104(4: 953959. Nogami T, Konagai K. Time domain axial response of dynamically

3、loaded single piles J. Jounal of Engineering Mechanics, 1986, 112(11: 12411252. Mamoon S M, Kaynia A M, Banerjee P K. Frequencydomain dynamic analysis of piles and pile groups J. Jounal of Engineering Mechanics, 1990, 116(10: 22372257. Novak M. Dynamic stiffness and damping of piles J. Canadian Geot

4、echnical Journal, 1974, 11: 574598. 2 3 4 5 胡昌斌, 黃曉明. 成層粘彈性土中樁土耦合縱向振動 時域響應(yīng)研究J. 地震工程與工程振動, 2006, 26(4: 205211. Hu Changbin, Huang Xiaoming. A quasi-analytical solution to soil-pile interaction in longitudinal vibration in layered soils considering vertical wave effect on soils J. Earthquake Engineeri

5、ng and Engineering Vibration, 2006, 26(4: 205211. (in Chinese 7 周緒紅 , 蔣建國 , 鄒銀生 . 粘彈性介質(zhì)中考慮軸力作 用時樁的動力分析 J. 土木工程學(xué)報 , 2005, 38(2: 8791. Zhou Xuhong, Jiang Jianguo, Zou Yinsheng. Dynamic analysis of piles under axial loading and lateral dynamic force in visco-elastic medium J. China Civil Engineering Jo

6、urnal, 2005, 38(2: 8791. (in Chinese 8 劉林超, 張衛(wèi). 具有分?jǐn)?shù) Kelvin 模型的粘彈性巖體中 水平圓形硐室的變形特性J. 巖土力學(xué), 2005, 26(2: 287289. Liu Linchao, Zhang Wei. The deformation proprieties of horizontal round adits in viscoelastic rocks by fractional Kelvin model J. Rock and Soil Mechanicals, 2005, 26(2: 287289. (in Chinese 9

7、 Bagley R L, Torvik P J. A theoretical basis for the application of fractional calculus to viscoelasticity J. Journal of Rheology, 1983, 27(3: 201210. 10 Zhu Zhengyou, Li Genguo, Chen Changjun. Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation J. Applied Mathematics and Mechanics, 2002, 23(1: 17. 11 Miller K S, Ross B. An intr