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关于多层坝基的应力和变形計算,已有不少人研究过.但这些方法較繁且有局限性,不能計算水平荷重或較复杂的垂直荷重下的应力和变形,也不能适用于三层以上的坝基.本文将提供一个較簡单而能求任意荷重下任意层数坝基的应力和变形的方法. 图1表示垂直荷重p(x)下的m层坝基,各层弹性模量E_i及泊桑比μ_i都已注于图中.各层坝基中的应力函数φ可用下列級数表达:
The calculation of stress and deformation of multi-layered dam foundations has been studied by many people. However, these methods are more complex and have limitations. They cannot calculate the stress and deformation under horizontal or more complex vertical loads, and they cannot be applied to three layers. The above dam foundation. This article will provide a simpler method for finding the stress and deformation of any layer of dam foundation under arbitrary load. Figure 1 shows the m layer dam foundation under vertical load p(x), the elastic modulus of each layer E_i and Poisson’s μ_i has been noted in the figure. The stress function φ in each layer of dam foundation can be expressed in the following series: