在壳模型的框架下引入了密度依赖的Gogny相互作用以研究有限核的核结构性质.文中详细地讨论了密度依赖核力的性质和在壳模型中的运用.通过迭代求解的方法可以得到任意模型空间下的两体矩阵元和单粒子能.经过p壳和sd壳的计算我们发现Gogny相互作用可以在跨度较大的核区内有效计算能谱和结合能等核结构信息.并且在各套Gogny参数中D1S的表现最好,与实验数据进行对比能给出很好的计算结果. A density-dependent Gogny interaction is introduced under the framework of the shell model to study the nuclear structural properties of finite nuclei. The properties of density-dependent nuclear forces and their applications in shell models are discussed in detail. By means of iterative methods, arbitrary Two-body matrix element and single-particle energy in model space. Computation of p-shell and sd-shell shows that Gogny interaction can effectively calculate nuclear structure information such as energy spectrum and binding energy in the large span of nuclear region. The set of Gogny parameters D1S best performance, compared with the experimental data can give good results.