Energy analysis of vibratory penetration of large-scale steel cylinders

Vibratory penetration was successfully used to install 120 integral thin-walled steel cylinders 22 m in diameter in the Hong Kong-Zhuhai-Macao Bridge. However, the eight-hammer group was found overpowered at the western island and underpowered at the eastern site due to insufficient understanding of the mechanisms of vibratory piling. In this study, energy analysis was conducted to reveal the energy characteristics of vibratory penetration, including the periodical energy superposition along the cylinder shaft, the continuous energy consumption in the soil, and the dynamic equilibrium of the total energy. The influences of vibratory soil resistance and loading frequency on the energy distributions have been thoroughly discussed. In contrast to the notion that larger input energy leads to a faster penetration, it is revealed that the vibratory penetration velocity positively correlates to the energy stored in the cylinder, the ratio of kinetic to strain energy, and the characteristic frequencies of the soil-pile system. The actual output power of the vibratory motors is influenced by the vibratory force, the ultimate soil resistance, and the soil mobilization degree. The vibration frequency is optimized as 31.1 Hz for Cylinder E9 and 15 Hz for Cylinder W36 to ensure efficiency and safety.