Visco-elastic response of combined footings lying on earth beds with geocell-geomembrane inclusions has been studied using a simple lumped parameter model. The earth bed has been simulated with the help of series of Burgers model, i.e., Maxwell and Kelvin models coupled in series, connected by an elastic member. Overlying the soft visco-elastic bed, there exists a geocell layer with soil infill idealized by a beam having finite flexural rigidity. On top of this, granular mat has been laid and idealized as Pasternak shear layer underlying the combined footing considered as a beam. The footing has been subjected to equi-spaced columnar loads. The weight of granular mat has been considered on top of reinforcing beam. A lumped-parameter model has been used for idealizing the physical problem. Thereafter the governing differential equations have been developed and solved numerically with the help of suitable boundary conditions. Validation of the proposed model has been done before taking up the detailed study to exhibit the influence of various model parameters on the response of footing-soil system. Magnitude of columnar loads, location of geocell layer, relative elastic and viscous coefficients of Burgers model, and tension in elastic membrane have been found to have significant impact on deflection and bending moment in both footing and the geocell. All the analyses and results have been presented in terms of non-dimensional parameters. Many parameters combining together forms a number (non-dimensional) and the same number can be used in designing a typical case of combined footings using the charts developed.

使用简单的集总参数模型研究了土工布-土工膜包裹体在地基上的复合地基的粘弹性响应。借助Burgers模型系列，即通过弹性构件串联连接的Maxwell和Kelvin模型，对土床进行了模拟。在软的粘弹性层上，存在一个土工格层，其土壤填充物由具有有限挠曲刚度的梁理想化了。在此之上，已将粒状垫层放置并理想化为被视为梁的组合基础下面的Pasternak剪切层。基础已经承受了等间距的柱状荷载。颗粒垫的重量已考虑在加强梁的顶部。集总参数模型已用于理想化物理问题。此后，在合适的边界条件的帮助下，开发了控制微分方程并进行了数值求解。在进行详细研究之前，已经完成了对所提出模型的验证，以显示各种模型参数对基础-土壤系统响应的影响。已经发现柱状荷载的大小，土工格室层的位置，Burgers模型的相对弹性和粘滞系数以及弹性膜中的张力对立脚和土工格室的挠曲和弯矩都有重要影响。所有分析和结果均以无量纲参数表示。许多参数组合在一起会形成一个数字（无量纲），而相同的数字可用于使用已开发的图表设计组合基础的典型情况。