粘弹性半空间上刚体的垂直振动

根据弹性力学混合边值条件，建立了粘弹性半空间上刚体垂直振动的对偶积分方程，并用正交多项式化积分方程为线性代数方程组，并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。计算结果与实测资料进行了比较，说明本方法是正确的。

VERTICAL VIBRATION OF RIGID BODY ON VISCOELASTIC HALF SPACE

The dual integral equations of vertical forced vibration of rigid body upon a semi-infinite elastic spauce are established according to the mixed boundary condition.By applying orthogonal polynomials we transform the integral equations into linear algebraic equations.Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.The results of calculation which hsve been compared with the measurement data for some large dynamical foundation experiments show that our method is correct.