水利学报
水利學報
수리학보
2001年
3期
54-57,63
,共5页
Biot理论%Green函数%Hankel变换
Biot理論%Green函數%Hankel變換
Biot이론%Green함수%Hankel변환
本文利用积分变换方法求解了半空间饱和土内部作用简谐垂直力时的Green函数.首先根据Hankel积分变换方法直接对频域内的Biot波动方程进行求解,得出了Biot波动方程的通解.利用上述通解以及边界条件和连续性条件可得上述边值问题的变换域内的解,进行相应的逆变换可得频域内的Green函数.
本文利用積分變換方法求解瞭半空間飽和土內部作用簡諧垂直力時的Green函數.首先根據Hankel積分變換方法直接對頻域內的Biot波動方程進行求解,得齣瞭Biot波動方程的通解.利用上述通解以及邊界條件和連續性條件可得上述邊值問題的變換域內的解,進行相應的逆變換可得頻域內的Green函數.
본문이용적분변환방법구해료반공간포화토내부작용간해수직력시적Green함수.수선근거Hankel적분변환방법직접대빈역내적Biot파동방정진행구해,득출료Biot파동방정적통해.이용상술통해이급변계조건화련속성조건가득상술변치문제적변환역내적해,진행상응적역변환가득빈역내적Green함수.
By using integral transform method, the problem of harmonic vertical force applied on the interior of the half space in saturated soil is solved. First, the Biot wave equation for frequency domain is solved using the Hankel transform method. Thus, the general solution is deduced. Utilizing the general solution and boundary conditions, the solution in transformed domain is obtained. The Green function in frequency domain can be obtained by using the corresponding inverse transform method.