Wave Propagation in a Two-Dimensional Lattice Structure Composed of Pipes Conveying Pressurized Liquid

Background: The regulation of wave transmission in lattice structures critically influences their performance in vibration suppression and wave manipulation applications. The key physical properties of lattice structure for manipulating waves in the band gap existing in its band structure. To overcome these challenges, this paper introduces a two-dimensional lattice structure composed of pressurized liquid pipelines. By tuning the pressure of the liquid, the dynamic behaviors of the lattice structure can be regulated, which preserves the lattice structure function and enables tunable dynamic properties. Purpose: This paper introduces a two-dimensional lattice composed of pipes conveying pressurized liquid, in which the dynamic properties can be adjusted by adjusting the liquid pressure. Methods: This paper studies the wave behaviors of a two-dimensional lattice structure composed of pipes conveying fluid. Based on Bloch's theorem and the dynamic stiffness matrix method, the dynamic equations of two-dimensional lattice are established, and its wave behavior is systematically analyzed. Results: Demonstrated that pressure has an important effect on the band structure. As the pressure parameter increases, the frequency of the dispersion branch decreases. Conclusions: This pressure‑dependent frequency shift enables the tuning of band gaps across different frequency ranges, offering a practical means to adapt the structure to various engineering requirements. Additionally, the role of pressure in modulating the isotropic or anisotropic wave properties of lattices with different topologies is systematically explored via the examination of their dispersion surfaces.