Continuum Modeling and Vibration Analysis of Cable-Harnessed Cylindrical Shell Structures: A Homogenization Theory

In the realm of lightweight space structures, the interplay between power and control signal transmission cables and their payload host structures introduces intriguing dynamics. Many of such payload structures consist of cylindrical shells that require the attachment of cables for their vibrations control. Accurate modeling of the impact of these cables on the dynamic behavior of the host structures is essential. The presented study proposes a continuum modeling technique that employs homogenization theory to model the dynamics of cable-harnessed thin cylindrical shell structures. The kinetic and strain energy of the fundamental repeating element are derived using linearly varying displacement field assumptions, along with strain-displacement relations from the Donnell-Mushtari theory. As a preliminary step, periodic cable patterns are considered and investigated. Cables are assumed to be attached parallel to the longitudinal axis of the cylindrical shell. Given the repetitive nature of the fundamental element within the domain of the host structure, the kinetic and strain energies per unit area are assumed to represent the energy density of an equivalent homogenized cable-harnessed shell structure. Using Hamilton's principle, partial differential equations are derived for the vibrations of the harnessed cylindrical shell structure. Frequency response functions for both cabled and bare (non-cabled) structures are obtained, enabling a comparative assessment of the dynamic effects of the added cables and a parametric study. Additionally, a finite element model of the cable-harnessed cylindrical shell structure is developed to validate the frequency response function results.