Suggested technologies are designed for generation of three-dimensional structured grids in constructions bounded by the surfaces of revolution with parallel axes of revolution. The technologies are elaborated for numerical simulation of the vortex processes of multi-component hydrodynamics. Earlier, the technologies were developed for generation of grids in volumes of revolutions deformed by other volumes of revolution and in volumes bounded by the surfaces of revolution with parallel axes of revolution. The developed technologies include several types of algorithms: for description of geometries and generation of the initial grids, for correction of grids to the boundaries of constructions, for deformation of constructions and grids, for optimization and testing of grids. The technologies are being elaborated within the variational method for construction of optimal grids satisfying the optimality criteria: uniformity, orthogonality and adaptation under the given function. The criterion of adaptation was realized previously for volumes of revolution and for volumes of revolution deformed by another volume of revolution. In the paper, the cases of grid generation in volumes of revolution deformed by volumes bounded by the surfaces of revolution with parallel axes of revolution and cases of generation of adaptive grids in volumes bounded by the surfaces of revolution with parallel axes of revolution are considered. Examples of grids are presented.