Abstract: Through the Lagrange＇s equation, the matrix equation of coupled pendulums is established, the vibration of disorderly coupled pendulums is analyzed; the vibration of disorderly coupled pendulums is studied, and by using the MAPLE9.0, the three-dimensional curve of the amplitude ratio and natural frequency is drawn following the parameter change. The conclusions are that natural frequency increases with the increase of parameter ε and β; the disorder of coupled pendulums has a mode localization phenomena, at the first-order mode localization phenomena, the amplitude ratio increases with the increase of parameter ε.

Key words: coupled pendulums, vibration analysis, natural frequency, disorder, mode localization