南昌工程学院学报
南昌工程學院學報
남창공정학원학보
JOURNAL OF NANCHANG INSTITUTE OF TECHNOLOGY
2012年
1期
28-33
,共6页
徐满清%陈学嘉%徐斌%罗浩%李朋
徐滿清%陳學嘉%徐斌%囉浩%李朋
서만청%진학가%서빈%라호%리붕
Biot理论%饱和土地%筏板%上部结构%积分方程
Biot理論%飽和土地%筏闆%上部結構%積分方程
Biot이론%포화토지%벌판%상부결구%적분방정
Biot' s theory%saturated soil%raft%superstructure%integral equation
根据饱和土Biot理论与最小势能原理及薄板理论,采用子结构法,把上部结构、基础和地基作为一个共同作用的整体,在接触界面上满足变形协调条件,建立移动荷载作用下饱和土体地基-筏板-上部结构共同作用的积分方程.对积分方程的数值求解和相应的Fourier逆变换,得到任意时刻上部结构、筏板的内力和位移以及地基反力.最后通过数值计算,分析了饱和土体参数、移动荷载的速度等对上部结构水平、垂直方向的振动的影响特点.数值结果表明,上部结构各层的水平位移、竖向位移都随荷载速度增大而增加.竖向位移随楼层增加变化不大,当荷载速度较低时,水平位移随上部结构高度的变化曲线平滑少弯折,说明振动较稳定.但当荷载速度较高时,水平位移随楼层变化曲折越明显,层间差异大.
根據飽和土Biot理論與最小勢能原理及薄闆理論,採用子結構法,把上部結構、基礎和地基作為一箇共同作用的整體,在接觸界麵上滿足變形協調條件,建立移動荷載作用下飽和土體地基-筏闆-上部結構共同作用的積分方程.對積分方程的數值求解和相應的Fourier逆變換,得到任意時刻上部結構、筏闆的內力和位移以及地基反力.最後通過數值計算,分析瞭飽和土體參數、移動荷載的速度等對上部結構水平、垂直方嚮的振動的影響特點.數值結果錶明,上部結構各層的水平位移、豎嚮位移都隨荷載速度增大而增加.豎嚮位移隨樓層增加變化不大,噹荷載速度較低時,水平位移隨上部結構高度的變化麯線平滑少彎摺,說明振動較穩定.但噹荷載速度較高時,水平位移隨樓層變化麯摺越明顯,層間差異大.
근거포화토Biot이론여최소세능원리급박판이론,채용자결구법,파상부결구、기출화지기작위일개공동작용적정체,재접촉계면상만족변형협조조건,건립이동하재작용하포화토체지기-벌판-상부결구공동작용적적분방정.대적분방정적수치구해화상응적Fourier역변환,득도임의시각상부결구、벌판적내력화위이이급지기반력.최후통과수치계산,분석료포화토체삼수、이동하재적속도등대상부결구수평、수직방향적진동적영향특점.수치결과표명,상부결구각층적수평위이、수향위이도수하재속도증대이증가.수향위이수루층증가변화불대,당하재속도교저시,수평위이수상부결구고도적변화곡선평활소만절,설명진동교은정.단당하재속도교고시,수평위이수루층변화곡절월명현,층간차이대.
Based on Blot' s theory and the minimum potential energy principle as well as the thin plate theory, the superstructure, raft and soft are assumed to be a whole system according to the substructure method. The system must satisfy the continuity conditions at the interfaces between the superstructure, raft and soil surface. Considering the compatibility condition that the vertical displacement of the interface between the raft and the saturated soil should be equal, the integral equation ac- counting for the vertical coupling of the superstructure-raft system with the saturated soil subjected to a moving load is con- structed. Using the numerical inverse transform technique,the forces and displacements of the superstructure,plate and saturated soil at any time are obtained. Some numerical results are presented to demonstrate the capacity of the proposed model. Also,the influence of load velocity on the superstructure is investigated in this paper.