This invention belongs to the field of vibration and
sound propagation technology for liquid-filled pipelines, specifically relating to a method, program, device, and storage medium for calculating the
modal dispersion characteristics and
energy distribution of a liquid-filled elastic tube. Based on three-dimensional
linear elasticity theory and wave equations, this invention obtains the governing equations and boundary conditions for the propagation
modes of an infinitely long, uniform, isotropic liquid-filled elastic tube. Differential matrices are constructed and solved to obtain the dispersion curves, displacement distributions, and stress distributions of the
modes. The
power flow of the
modes in the fluid and the tube wall is then calculated, ultimately yielding the
energy distribution of the modes. This invention only requires the inner
diameter, wall thickness, density of the tube
wall material, Young's modulus, Poisson's ratio, and density of the liquid inside the elastic tube to obtain the dispersion curves and
modal energy distributions of an infinitely long liquid-filled elastic tube. It can accurately, conveniently, and quickly obtain the vibration and
sound propagation characteristics of a liquid-filled elastic tube, providing guidance for selecting a suitable pipeline
system.