We study the Coulomb explosions for swift C60 ion-clusters penetrating through solids.Assuming that the directions of relative position vectors between ions in the cluster are random distributions and using the spherical-shell model to describe the structures of the C60 ion-cluster,some analytical expressions of the self-energy of the cluster are obtained based on the linear-response dielectric theory with the PLA dielectric function.It has been found that by solving the equations of motion for the cluster radius,the wake effects in the self-energy can reduce the Coulomb explosions,and even stabilize the cluster structure.