【摘要】 本文采用工程用的土力学模型,利用积分变换法推导了置于饱和土体中的圆柱形孔洞瞬态动力响应解答的一般解析表达式,并将其与经典弹性动力学中圆柱形空腔问题的解答作了有价值的比较,文末利用一种十分有效的数值反变换方法给出了有意义的算例。本文为进一步分析岩土工程、地震工程中隧道、管道等地下结构的动力响应提供了有效途径,具有理论与应用价值。更多还原

【Abstract】 This paper gives the transient response of a long cylindrical cavity in an infinite saturated soil body, which is caused by a dynamic load acting on the cavity surface. From the established governing equations, by a direct method in which the Laplace transform and potenstial theory have been employed, solutions for the displacements and stresses on the surface and in the media are derived. A numerical example is presented in which the solution of this paper is compared with corresponding ideal elastic solution. The method in this paper may be used to analyze the analogous underground structures, thus it shows its potential applications in practical engineering problems.更多还原