Analytical model for static behavior of modular floating structures (MFSs) with arbitrary floater numbers and sizes

Floating cities built on modular floating structures (MFSs) offer a promising solution to population growth and land scarcity, particularly in coastal regions. Although numerous studies have focused on the hydrodynamic behavior of MFSs through experimentation and simulation, a simple and effective static design model, particularly suitable for the early design stage, is still lacking. To bridge this gap, the current study develops an analytical model to evaluate the static behavior of finite MFSs with arbitrary floater numbers and sizes, addressing deflection, inclination, connector shear force, and connector bending moment. The model is constructed by superposing one infinite MFS and two semi-infinite MFSs, assuming rigid floaters and flexible connectors. Verification against numerical simulations confirms the accuracy of the finite MFS model. Notably, MFSs shorter than a quarter of their characteristic length can be approximated as rigid bodies. Furthermore, applications of the developed model to floating cities and bridges are demonstrated. The current study reveals the mechanism behind MFS static behavior. • Developed a static analytical model for MFS with varying floater numbers and sizes. • Provided closed-form solutions to floater displacements and connector forces. • Revealed the mechanism behind MFS static behavior. • Long MFSs exhibit flexibility, while short MFSs behave like rigid bodies. • Model supports future designs of floating cities and bridges.