Soil strain is the key parameter to control the elasto-plastic deformation and even the failure processes. To overcome the defect that the strain of the model soil is always smaller than that of the prototype in Iai’s generalized scaling law (GSL), a modified scaling law was proposed based on Iai’s GSL to secure the same dynamic shear strain between the centrifuge model and the prototype by modulating the amplitude and frequency of the input motion at the base. A suite of dynamic centrifuge model tests of dry sand level ground was conducted with the same overall scaling factor (λ=200) under different centrifugal accelerations by using the technique of “modeling of models” to validate the modified GSL. The test results show that the modified GSL could achieve the same dynamic strain in model as that of the prototype, leading to better modeling for geotechnical problems where dynamic strain dominates the response or failure of soils. Finally, the applicability of the proposed scaling law and possible constraints on geometry scaling due to the capability limits of existing centrifuge shaking tables are discussed.

土体应变是控制弹塑性变形乃至破坏过程的关键参数。为了克服Iai广义标度律(GSL)中模型土应变总是小于原型土应变的缺陷，在Iai广义标度律的基础上提出了一种改进的标度律，以确保离心机模型和原型土体之间具有相同的动态剪应变。通过调制底部输入运动的幅度和频率来构建原型。采用相同的总体比例因子（λ=200）在不同的离心加速度下，利用“模型建模”技术来验证修改后的GSL。测试结果表明，修改后的 GSL 可以在模型中实现与原型相同的动态应变，从而可以更好地对动态应变主导土壤响应或破坏的岩土工程问题进行建模。最后，讨论了所提出的比例定律的适用性以及由于现有离心机振动台的能力限制而对几何比例可能产生的限制。