The application discloses a kind of based on the
band gap calculation method of periodic
pile arrangement structure of area
decomposition and linear expression method, the method adopts area
decomposition to divide
pile soil coordinate
system, establishes by periodic boundary constraint condition matrix and
pile soil contact interface constraint condition
matrix composition pile soil
cell total constraint condition matrix;
Pile soil
cell total constraint condition matrix is handled by linear expression method, and the basic solution set is obtained;According to the basic solution set, the
total energy functional of pile soil
cell and the motion equation of pile soil cell are established;According to the motion equation of pile soil cell, the wave number of first Brillouin zone is scanned, and the vibration
dispersion curve of periodic pile arrangement structure is obtained;The corresponding relationship between
wave vector and the frequency of periodic pile arrangement structure is analyzed, and the
band gap characteristics of periodic pile arrangement structure are obtained.The application avoids the problem of pile soil parameter
distortion and the boundary dependence problem in
shape function construction, and has low implementation complexity, accurate calculation result and significantly improved calculation efficiency.