Computer Simulation Analysis of the Dynamic Response of two Coupled Masses

  • Abed Alrzaq Sleman ALSHQIRATE
Keywords: Computer simulation, Dynamic response, Coupled masses, PSD, Lagrange principle


Computer simulation program was designed to analyze the dynamic response of two coupled masses supported by two springs and coupled
with another spring by parallel massless bars. The equations of motion derived using Lagrange’s principle and solved by the computer program
for different cases with selected values of variables. The mode shapes, the modal vectors, the time response and the Power Spectral Density
(PSD) estimation presented graphically for free and forced vibration. The effect of coupling on the time response examined theoretically and
numerically with damping and without damping for different cases. The results indicate that the amplitude of motion of the two masses decreases as the coupling coefficient increases for free and forced vibration. Also, there is a particular value of the frequency at which the vibration of the mass is reduced to zero which forms the basis of the dynamic vibration of the absorber systems.