A method for calculating a
band gap of a built-in
harmonic oscillator periodic structure of a hollow
pipe pile comprises the steps that a hollow
pipe pile body, a soil body and a
harmonic oscillator coordinate
system are divided through regional
decomposition, and a unit
cell structure total constraint condition matrix composed of a periodic boundary constraint condition matrix and a
pile-soil contact interface constraint condition matrix is established;
processing the unit
cell structure total constraint condition matrix through a linear expression method to obtain a basic solution set; establishing a unit
cell structure
total energy functional and a motion equation of the unit
cell structure according to the basic
solution system set, and scanning the wave number of the first Brillouin region to obtain a vibration
frequency dispersion curve of a built-in
harmonic oscillator periodic structure of the hollow
pipe pile; and analyzing the corresponding relationship between the
wave vector and the frequency of the periodic pile-in-row structure to obtain the
band gap characteristics of the periodic structure of the built-in
harmonic oscillator of the hollow pipe pile. According to the method, the pile-soil parameter
distortion problem and the boundary dependence problem in
shape function construction are avoided, so that the method for calculating the
band gap of the built-in
harmonic oscillator periodic structure of the hollow pipe pile is provided, the calculation implementation complexity is low, and the calculation result is accurate.