摘要
基于弹性层和饱和土半空间轴对称弹性波动方程,运用Hankel积分变换方法,得到它们在变换空间内的解。进而由层间完全接触条件及圆板底面的混合边值条件,构造一组描述上覆单相弹性层的饱和地基上弹性圆板轴对称竖向振动的对偶积分方程。将该对偶积分方程化为易于数值计算的第二类Fredholm积分方程,求得地基表面动力柔度系数随无量纲频率的变化曲线及弹性圆板的相对位移幅值。
Based on Biot's theory of elastic wave in saturated soils, the solutions for the
displacement and stress components of the saturated soils and overlying elastic stratum are expressed by
applying the method of Hankel transform. Then, under the consideration of the mixed boundary value
condition, a pair of dual integral equations governing the vertical vibration of the circular footing is
obtained which can be reduced to the Fredholm integral equation of the second kind and solved by
numerical procedure. Consequently, the dynamic compliance coefficient for the saturated layered
ground and relative settlement of the plate versus the nondimensionless frequency are presented.
出处
《固体力学学报》
CAS
CSCD
北大核心
2003年第2期215-220,共6页
Chinese Journal of Solid Mechanics
