1　引　　言 弹性地基上的板是土木工程中较常见的一种结构形式 ,如机场跑道、公路路面等。其分析方法得到了广大理论工作者的重视。但由于问题的复杂性 ,至今还很难得到令人满意的解析解。目前 ,处理这类问题的方法可分为两大类 :数值法和解析法。数值法主要有有限元法和边界 1 Introduction Plate on elastic foundation is a kind of common structure in civil engineering, such as airport runway, highway pavement and so on. Its analytical method has received the attention of the majority of theoretical workers. However, due to the complexity of the problem, it is still difficult to obtain a satisfactory analytical solution. At present, the methods for dealing with such problems can be divided into two categories: numerical method and analytical method. Numerical methods are mainly finite element method and the boundary